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Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?
Answers
Answer: the first one and the third one
Step-by-step explanation:
The prime polynomials from the polynomials are:
1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.
Options 1 and 3 are the correct answer.
We have,
A prime polynomial is a polynomial that cannot be factored into a product of two polynomials with integer coefficients.
Let's check each expression to see if it is a prime polynomial:
\(x^4\) + 3y²x - 1:
This expression cannot be factored further, so it is a prime polynomial.
9y + 4y² + 12y³:
This expression can be factored as y(9 + 4y + 12y²), so it is not a prime polynomial.
x² - 9x + 3:
This expression cannot be factored further, so it is a prime polynomial.
x² - 3x - 10:
This expression can be factored as (x - 5)(x + 2), so it is not a prime polynomial.
x³ - 512y³:
This expression can be factored as (x - 8y)(x² + 8xy + 64y²), so it is not a prime polynomial.
Thus,
The prime polynomials are:
1. \(x^4\) + 3y²x - 1 and 3. x² - 9x + 3.
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Related Questions
In the past month, Chau rented 5 video games and 4 DVDs. The rental price for each video game was $3.30. The rental price for each DVD was $3.80. What is the total amount that Chau spent on video game and DVD rentals in the past month?
Does anyone know how to do that?
Answers
The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.
How to calculate the cost?Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.
The Total amount that was spent will be:
= Amount spent on video games + Amount on DVD
= (5 × $3.30) + (4 × $3.80)
= $16.50 + $15.20
= $31.70
The amount is $31.70.
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Cb ⊥ ac by the radius-tangent theorem, so ∠c is a right angle. δabc is a right triangle, so apply the pythagorean theorem. use the steps and solve for the radius. r2 82 = (r 5)2 r2 64 = r2 10r 25 r =
Answers
By the radius-tangent theorem, the radius is equal to 39/10 units.
What is Pythagorean theorem?In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;
r^2 + 8^2 = (r + 5)^2
r^2 + 64 = r^2 + 10r + 25
r^2 - r^2 = -10r + 64 - 25
10r = 39
r = 39/10 units.
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Poisons are used to prevent rat damage in sugarcane fields. The U.S. Department of Agriculture is investigating whether rat poison should be located in the middle of the field or on the outer perimeter. One way to answer this question is to determine where the greater amount of damage occurs. If damage is measured by the proportion of cane stalks that have been damaged by the rats, how many stalks from each section of the field should be sampled in order to estimate the true difference between proportions of stalks damaged in the two sections, to within 0.02 with 90% confidence? (Assume equal number of stalks will be sampled from each section)
Answers
To estimate the difference between proportions, sample around 3355 stalks from each section of the field.
In order to estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, we need to determine the sample size required to achieve a desired level of precision and confidence.
To estimate the required sample size, we can use the formula for sample size determination for estimating the difference between two proportions. This formula is based on the assumption of a normal distribution and requires the proportions from each section.
Let's denote the proportion of stalks damaged in the middle section as p1 and the proportion of stalks damaged in the outer perimeter as p2. We want to estimate the difference between these proportions to within 0.02 (±0.02) with 90% confidence.
To calculate the required sample size, we need to make an assumption about the value of p1 and p2. If we don't have any prior knowledge or estimate, we can use a conservative estimate of p1 = p2 = 0.5, which maximizes the required sample size.
Using this conservative estimate, we can apply the formula for sample size determination:
n = (Z * sqrt(p1 * (1 - p1) +\(p2 * (1 - p2)))^2 / d^2\)
where:
n is the required sample size per sectionZ is the z-score corresponding to the desired confidence level (90% confidence corresponds to a z-score of approximately 1.645)p1 and p2 are the estimated proportions of stalks damaged in the two sections (assumed to be 0.5)d is the desired precision or margin of error (0.02)Plugging in the values, we get:
n = (1.645 * sqrt(0.5 * (1 - 0.5) + 0.5 *\((1 - 0.5)))^2 / 0.02^2\)
n = (1.645 * sqrt\((0.25 + 0.25))^2\)/ 0.0004
n = (1.645 * sqrt\((0.5))^2\) / 0.0004
n =\((1.645 * 0.707)^2\) / 0.0004
n =\(1.158^2\) / 0.0004
n = 1.342 / 0.0004
n ≈ 3355
Therefore, the required sample size from each section of the field would be approximately 3355 stalks, in order to estimate the true difference between proportions of stalks damaged in the two sections to within 0.02 with 90% confidence.
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To estimate the true difference between proportions of stalks damaged in the two sections of the sugarcane field, approximately 665 stalks from each section should be sampled.
In order to estimate the true difference between proportions of stalks damaged in the middle and outer perimeter sections of the sugarcane field, a representative sample needs to be taken from each section. The goal is to estimate this difference within a certain level of precision and confidence.
To determine the sample size needed, we consider the desired precision and confidence level. The requirement is to estimate the true difference between proportions of stalks damaged within 0.02 (i.e., within 2%) with 90% confidence.
To calculate the sample size, we use the formula for estimating the sample size needed for comparing proportions in two independent groups. Since an equal number of stalks will be sampled from each section, the total sample size required will be twice the sample size needed for a single section.
The formula to estimate the sample size is given by:
n = [(Z * sqrt(p * (1 - p)) / d)^2] * 2
Where:
n is the required sample size per section
Z is the Z-value corresponding to the desired confidence level (for 90% confidence, Z = 1.645)
p is the estimated proportion of stalks damaged in the section (unknown, but assumed to be around 0.5 for a conservative estimate)
d is the desired precision (0.02)
Plugging in the values, we can calculate the sample size needed for each section.
n = [(1.645 * sqrt(0.5 * (1 - 0.5)) / 0.02)^2] * 2
n ≈ 664.86
Rounding up, we arrive at approximately 665 stalks that should be sampled from each section.
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What is a decimal that is equivalent to the fraction 6/10
Answers
Answer:
0.60 or 0.6
Step-by-step explanation:
To convert you devide the two 6/10 is 0.6
0.6 is a decimal that is equivalent to the fraction 6/10
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction represents a part of a whole.
The given fraction is 6/10.
The fraction is six by ten
In the given fraction is six and denominator is ten.
We need to convert 6/10 to the decimal which is equivalent.
10 is the divisor and 6 is the dividend.
6/10=0.60
Six by ten equal to zero point six
Hence, 0.6 is a decimal that is equivalent to the fraction 6/10
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1 stick butter is equivalent to _____ ounces.
Answers
Answer:
4 ounces
Step-by-step explanation:
Answer:
1 stick butter is equivalent to __4___ ounces.
Step-by-step explanation:
1 stick of butter is equal to 4 ounces
if we conduct 100 hypothesis tests at the 5% significance level, how many of them would we expect to be statistically significant just by chance alone?
Answers
5 out of 100 tests just at 5% level would just be statistically significant solely by chance.
Define the term significance level?The likelihood that an event may have happened by chance is the significance level of such an event (including a statistical test).The likelihood of rejecting that null hypothesis when it is true, or the alpha level, is used in statistical tests to evaluate statistical significance. The significance level, or alpha, for this example is set at 0.05 (5%).If somehow the null hypothesis became correct, we can anticipate that the extreme dates that occur only by chance would happen just 5% of the time.
Determine 5% of 100.
= 100(5%)
= 100(0.05)
= 5
As a result, we anticipate that 5 out of 100 tests just at 5% level would just be statistically significant solely by chance.
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The following list gives the number of pets for each of 10 students.
4.0.2.4.4.0.0.4.0.1
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answers
Answer:
4 and 2 are the modes I hope this helps u :))
Step-by-step explanation:
Define the term functions limits and continuity as used in
business calculus and use an example
Answers
In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.
The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.
"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.
For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.
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In a rhombus CROW...
A. what is the angle congruent to ∠W?
B. what are the angles supplement to ∠R?
C. what are the sides congruent to segment CR?
This is not multiple choice.
Answers
A. what is the angle congruent to ∠W?
∠RB. what are the angles supplement to ∠R?
∠O and ∠CC. what are the sides congruent to segment CR?
segment RO, segment OW, segment CW(See picture for the illustration)
Wxndy~~
the height of a yo-yo (in centimeters) after t 0 seconds can be modeled by the function h(t) = 3 cos(⇡t) 5. (a) (3 points) find h0 (t).
Answers
The derivative of h(t) with respect to time, h'(t), is equal to -3πsin(πt).
To find h'(t), the derivative of the height function h(t) = 3cos(πt) - 5, we'll use the chain rule for differentiation. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. Here, the outer function is f(u) = 3cos(u) - 5, and the inner function is g(t) = πt. We'll first find the derivatives of these functions: f'(u) = -3sin(u) and g'(t) = π. Now, we'll apply the chain rule: h'(t) = f'(g(t)) * g'(t) = -3sin(πt) * π. So, the derivative of h(t) with respect to time, h'(t), is equal to -3πsin(πt).
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Movies went on sale for $4 off the original price . Jacob bought 3 movies . He paid $24 . What was the original price of a movie?
Complete the sentences to show how to write and solve an equation to answer this question
Define a variable. Let x=_______
The equation that models the problem is ______
To solve the equation first _____ next _________.
Answers
The required with the help of the equation model original price of a movie was $12.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Define a variable. Let x = the original price of a movie.
The equation that models the problem is 3(x - 4) = 24. This equation represents the total cost Jacob paid after taking the discount.
To solve the equation, first distribute the 3 on the left side of the equation: 3x - 12 = 24.
Next, isolate the variable by adding 12 to both sides of the equation: 3x = 36.
Finally, solve for x by dividing both sides by 3: x = 12.
Therefore, the original price of a movie was $12.
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Pls anwser this question (MATH)
Answers
Answer:
1.25 5/4
hence 5/4...
1.25
2(14-9)-(17-14) and how u got the answer
Answers
Answer:
7
Step-by-step explanation:
2(14-9)-(17-14)
=2.5-3
=7
Answer:
7 or if you are taking Negatives its -21
Step-by-step explanation:
which equation has the same solution set as x^2-8x+3=0
1) (x-4)^2=13
2) (x-8)^2=23
3) (x+4)^2=19
4) (x+8)^2=36
Answers
The quadratic equation x² - 8 · x + 3 = 0 is equivalent to the vertex form (x - 4)² = 13. (Correct choice: 1)
How to find an equation equivalent to a quadratic function in standard form
In this problem we need to find another equation equivalent to a quadratic function in standard form, that is, a quadratic equation of the form y = a · x² + b · x + c, where a, b, c are real coefficients, into a quadratic function in vertex form, that is, a quadratic equation of the form:
y - k = C · (x - h)²
Where:
C - Vertex constanth, k - Coordinates of the vertex.This can be done by sequence of algebraic operations known as completing the square. First, write the quadratic equation:
x² - 8 · x + 3 = 0
Second, find the vertex form of the quadratic function:
x² - 8 · x + 16 = 13
(x - 4)² = 13
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are the following statements true or false? false 1. if two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. false 2. if is zero, then two rows or two columns are the same, or a row or a column is zero. false 3. the determinant of is the product of the diagonal entries in . false 4. .
Answers
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
What is matrix ?
A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,
1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.
2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.
3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.
4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.
Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.
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Find all the solutions of each equation by factoring. 27x³=8 .
Answers
The solutions to the equation are:
x = 2/3
To solve the equation 27x³ = 8 by factoring, we can rewrite the equation as:
27x³ - 8 = 0
Now, let's consider the difference of cubes formula, which states that:
a³ - b³ = (a - b)(a² + ab + b²)
We can apply this formula to our equation, considering 27x³ as a³ and 8 as b³:
(3x)³ - 2³ = (3x - 2)((3x)² + (3x)(2) + 2²)
Simplifying further:
(3x - 2)((3x)² + 6x + 4) = 0
Now we have two factors:
1) 3x - 2 = 0
2) (3x)² + 6x + 4 = 0
Solving the first factor:
3x - 2 = 0
3x = 2
x = 2/3
Now, let's solve the second factor. We can use the quadratic formula:
For the equation ax² + bx + c = 0, the quadratic formula is:
x = (-b ± √(b² - 4ac)) / (2a)
In our case, a = 3, b = 6, and c = 4. Plugging these values into the formula:
x = (-(6) ± √(6)² - 4(3)(4) / (2(3)
x = (-6 ± √(36 - 48) / 6
x = (-6 ± √(-12) / 6
Since the discriminant (√(b² - 4ac)) is negative, the quadratic equation does not have any real solutions. Therefore, there are no additional real solutions to the equation 27x³ = 8.
The solutions to the equation are:
x = 2/3
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Cleveland, OH, where the maximum and minimum temperatures were 70
∘
F and 58
∘
F respectively, experienced a mean temperature of
∘
F (round up if necessary). a. 58 b. 60 c. 64 d. 66 11. The mean temperature derived from the maximum and minimum temperatures at Cleveland indicates degree days were accumulated. a. heating (HDD) b. cooling (CDD) 12. Therefore, Cleveland accumulated degree day(s) on 6-7 September 2022. a. 0 b. 1 c. 3 d. 7 13. Based on the plotted temperatures across the rest of Ohio, remaining stations HDD on 6-7 September 2022. a. accumulated b. did not accumulate You can observe and calculate HDD or CDD as we progress into the fall and through the winter. Wind Chill HDD and CDD values and their effect on homeowners' utility bills may stress tight budgets through the seasons. Since energy bills are dependent on the human who uses the energy, another factor for homeowners to consider when budgeting energy consumption is wind chill. The wind chill is an air temperature index that takes into account heat loss from exposed skin caused by the combined effect of wind and low air temperature. Outdoors, the cooling effect of wind along with the ambient temperature is reflected by using the wind chill equivalent temperature. Go to NWS Daily Weather Map for the most recent map. The pane to the left allows you to select any date back to 1 January 2003. Each day's map series includes the surface map, colorcoded maps of maximum and minimum temperatures, mid-tropospheric flow at the 500−mb level, and total precipitation. The surface and 500−mb maps are for 12Z(8a.m. EDT or 7a.m. EST, etc.) while the temperatures and precipitation maps are for the entire day. Clicking on the maps opens a more detailed map. Bring up the daily weather map set for 23 January 2022 . Scroll down and click on either the Maximum or Minimum Temperature map. 14. For 23 January 2022, on the North Dakota-Minnesota border, Fargo had a minimum temperature of −25
∘
F. With the minimum temperature there, assume Fargo was experiencing a wind speed of 10mph. With the NWS Wind Chill Chart in Figure 4A-5 from Investigation 4A, the wind chill for this combination of temperature and wind speed would have been
∘
F. a. −16 b. −20 c. −35 d. −41 e. −47
Answers
The mean temperature in Cleveland, OH, was 64°F. The accumulated degree days for Cleveland on 6-7 September 2022 were 1. The rest of Ohio accumulated degree days during the same period.
Based on the given information, the maximum temperature in Cleveland was 70°F and the minimum temperature was 58°F. To find the mean temperature, we add the maximum and minimum temperatures and divide by 2: (70°F + 58°F) / 2 = 128°F / 2 = 64°F.
Degree days are a measure of heating or cooling requirements. In this case, since the mean temperature in Cleveland was lower than a certain base temperature, degree days were accumulated. The base temperature is typically set at 65°F for cooling and 55°F for heating. Since the mean temperature in Cleveland was below the base temperature, the accumulated degree days are heating degree days (HDD).
For the specific date of 6-7 September 2022, Cleveland accumulated 1 heating degree day (HDD). This means that the average temperature for that period was 1 degree below the base temperature of 55°F.
The remaining stations in Ohio also accumulated heating degree days (HDD) on 6-7 September 2022. This indicates that the temperatures across the rest of Ohio were below the base temperature during that period.
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Half a number plus 9 is -7
Answers
Answer:
x = -32
Step-by-step explanation:
Let x = the missing number
1/2x + 9 = -7 Subtract 9 from both sides
1/2x = -16 Multiply by 2 on both sides to get rid of the 1/2
x = -32
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The equations y = 7x-2 and 14x- 2y = 3 represent what?parallel linesperpendicular linesthe same lineintetsecting, non perpendicular lines
Answers
As a first step we are going to isolate y in both equations:
(1) y=7x-2
(2) -2y=-14x+3
y=7x-3/2
Since they have the same slope 7, that mean these lines are parallel
What is the slope of this line?
Answers
Answer:
1/5
Step-by-step explanation:
Up 1, over 5
N Given the data X₁ = 1, X2 = 4, X3 = 5, X4 = 8, X5 = 10, evaluate Z(X, +5). 1=2
Answers
Given the data X₁ = 1, X2 = 4, X3 = 5, X4 = 8, X5 = 10, evaluate Z(X, +5). 1=2Z(X, +5) refers to the standard score of the score X, if it is taken as the new mean of the distribution.
In other words, Z(X, +5) represents how many standard deviations X is from the new mean, which is 5. To evaluate Z(X, +5), we first need to calculate the mean and standard deviation of the data set:Mean = (1+4+5+8+10)/5 = 28/5 = 5.6Standard deviation.
To calculate the standard deviation, we use the formula: σ = √[Σ(X-μ)²/N]where Σ means "the sum of," X is the data point, μ is the mean, and N is the sample size. Plugging in the values: σ = √[(1-5.6)² + (4-5.6)² + (5-5.6)² + (8-5.6)² + (10-5.6)² / 5] = √[79.84/5] = √15.968 = 3.994 .
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among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease. can this result be explained by chance alone? (use r to perform the test).
Answers
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
Define null hypothesis.With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.
Given,
Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.
Let X be the random variable to determine the proportion of people who have clinical illness.
n: The overall number of people who were exposed to a specific infectious pathogen.
p: The percentage of sample members who have a clinical illness.
Selected subjects who experience clinical disease are the experiment's success.
As a result, the variables are n = 100 and p = 0.30.
It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.
A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.
Using the default level of significance = 0.05, the level of significance is not defined.
One percentage z-test is the best suitable test for the aforementioned assertion.
The alternate and null hypothesis is
H0: p = 0.3
H1:: p ≠ 0.3
Where p is the percentage of the population that develops a clinical illness.
R may be used to calculate the p-value and test statistic.
The instruction is as follows:
x = 20; n = 100; p = 0.3; prop.test
The result looks like this: - The p-value obtained from the output above is 0.03817.
Decision principle:
When significance is 5%,
If the p-value is below 0.05, reject the null hypothesis.
Accept the contrary.
Because the p-value was 0.03817 0.05
The null hypothesis is disproven.
In conclusion:
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
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Calculate ∫(4(x²−y)⃗ +5(y²+x)⃗ ) ⋅ ⃗ if
(a) C is the circle (x−8)²+(y−2)² = 16 oriented counterclockwise.
∫(4(x²−y)⃗ + 5(y²+x)⃗ )⋅⃗ = ______
(b) C is the circle (x−)²+(y−)² = ² in the xyxy-plane oriented counterclockwise.
∫(4(x²−y)⃗ +5(y²+x)⃗ )⋅⃗ = _____
Answers
(a) To calculate the line integral ∫(4(x²−y)⃗ + 5(y²+x)⃗ )⋅⃗ over the circle C given by (x−8)²+(y−2)² = 16 oriented counterclockwise, we need to parametrize the curve C. The parametric equations for a circle of radius 4 centered at (8, 2) can be written as x = 8 + 4cos(t) and y = 2 + 4sin(t), where t ranges from 0 to 2π.
Substituting these expressions into the integrand and evaluating the dot product, we have:
∫(4(x²−y)⃗ + 5(y²+x)⃗ )⋅⃗ = ∫(4(8 + 4cos(t))² - (2 + 4sin(t)))dx + 5((2 + 4sin(t))² + (8 + 4cos(t)))dy.
Using the parametric equations and differentiating with respect to t, we can express dx and dy in terms of dt:
dx = -4sin(t)dt,
dy = 4cos(t)dt.
Substituting these expressions into the integral, we get:
∫(4(x²−y)⃗ + 5(y²+x)⃗ )⋅⃗ = ∫(4(8 + 4cos(t))² - (2 + 4sin(t)))(-4sin(t))dt + 5((2 + 4sin(t))² + (8 + 4cos(t)))(4cos(t))dt.
Integrating with respect to t over the range 0 to 2π, we can evaluate the integral to obtain the final answer.
(b) To calculate the line integral ∫(4(x²−y)⃗ + 5(y²+x)⃗ )⋅⃗ over the circle C given by (x−a)²+(y−b)² = r² in the xy-plane oriented counterclockwise, we need the specific values for a, b, and r. Please provide the values for a, b, and r in order to proceed with the calculation.
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15. There are 500 Band-aids in a box. The school nurse's office uses approximately 47
Band-aids per day on injured students. How many Band-aids will be left in the box
after 9 days?
16. A pediatrician's office buys a roll of 500 stickers. If each patient
receives a sticker at check-out and 83 patients are examined each day, how many
stickers will be left after 6 days?
17. An athletic trainer orders 8 cases of athletic tape for football season. There are 32
rolls of tape per case. How many rolls of tape would the athletic trainer have left if
20 rolls of tape are used on average each week for the first 3 months of football
season?
18. A dentist examines 8 patients each hour for the first four hours the dental clinic is
open each morning. How many patients will the dentist need to examine in the
afternoon if the goal of the clinic is to examine 50 patients each day?
19. Matthew recently accepted a job at a hospital that is 35 minutes away from his
home. What time should he leave home if his shift starts at 7 a.m. and it takes 10
minutes to walk inside from the parking deck and he also needs to allot an extra 15
minutes for unexpected traffic delays?
20. You have $300 to spend from your insurance flex card. Your doctor's office co-pay
was $25, your 3-month prescription cost was $52, and the cost of your eyeglasses
after insurance was $186. How much money do you have left to spend from your
flex card?
Answers
16. After 6 days, the pediatrician's office will use 6 x 83 = 498 stickers, so there will be 500 - 498 = 2 stickers left.
17. The athletic trainer orders 8 x 32 = 256 rolls of tape. For the first 3 months of football season, which is 12 weeks, the athletic trainer will use 20 x 12 = 240 rolls of tape. Therefore, the athletic trainer will have 256 - 240 = 16 rolls of tape left.
18. In the first four hours, the dentist examines 8 x 4 = 32 patients. To reach the goal of 50 patients per day, the dentist needs to examine 50 - 32 = 18 patients in the afternoon.
19. Matthew needs to leave home at 6:35 a.m. to arrive at the hospital by 7 a.m. He needs to walk inside from the parking deck for 10 minutes and allot an extra 15 minutes for unexpected traffic delays.
20. The total cost of the co-pay, prescription, and eyeglasses is $25 + $52 + $186 = $263. Therefore, you have $300 - $263 = $37 left to spend from your flex card.
Help me with this please!!
Answers
Answer:the 3 one
Step-by-step explanation:
From the options given, I’m guessing it is the third option if it is asking to identify the shape? But your questions asks the name of the line, which is a ray.
Which ratio is less than 7/15
A. 9/15
B. 2/5
C. 3/5
D. 24/45
Answers
Answer:
B
Step-by-step explanation:
2/5 + 2/5 +2/5 = 6/15 < 7/15
1.
A bucket is put under a leaking ceiling. The amount of water in the bucket doubles every minute. After 8 minutes,
the bucket is full. After how many minutes is the bucket half-full?
I
Answers
Answer:
4min
Step-by-step explanation:
half full = 4min. disregard the doubles every min.
Answer:
7 minutes
Step-by-step explanation:
Assuming the amount of money college students spend on text books each semester is symmetrical with a mean of 500 and a standard deviation of 50. Jane paid $550 for her books and wants to know what percentage of students paid MORE than she did for textbooks. So, what percentage of students paid MORE than Jane
Answers
the statement that approximately 15.87% of students paid more than Jane for textbooks, it means that out of a given group of students, around 15.87% of them paid a higher price for textbooks compared to what Jane paid.
To find the percentage of students who paid more than Jane for textbooks, we need to calculate the area under the normal distribution curve to the right of Jane's value. Here are the steps:
Step 1: Standardize Jane's value using the z-score formula:
z = (x - μ) / σ
Where:
x = Jane's value ($550)
μ = Mean of the distribution ($500)
σ = Standard deviation of the distribution ($50)
z = (550 - 500) / 50
z = 50 / 50
z = 1
Step 2: Find the percentage of students who paid more than Jane by looking up the z-score in the standard normal distribution table or using a calculator. The standard normal distribution table provides the percentage of the area under the curve to the left of a given z-score. Since we want the percentage of students who paid more than Jane, we subtract the percentage from 1. Using the z-score of 1, we can find the percentage as follows:
Percentage = (1 - Area to the left of z-score) * 100
Using the standard normal distribution table or a calculator, we find that the area to the left of a z-score of 1 is approximately 0.8413.
Percentage = (1 - 0.8413) * 100
Percentage ≈ 15.87%
To know more about more,
https://brainly.com/question/28784342
#SPJ11
If x=6 and y=−4, evaluate the following expression:10+5xy
Answers
Answer:
-110
Step-by-step explanation:
10+5xy
10+5(6)(-4)
10+30(-4)
10+(-120)
10-120
-110
Answer and Step-by-step explanation:
Plug in the values 6 and -4 for x and y respectively.
10 + 5(6)(-4)
Multiply 5 and 6 to get 30.
10 + 30(-4)
Multiply 30 and -4 to get -120
10 - 120
Subtract 120 from 10 to get -110.
-110
The value of the expression is -110.
#teamtrees #PAW (Plant And Water)
You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary, round t
the nearest tenth.
15 m
13 m
a.
b.
C.
d.
35.5 m
7.5 m
56 m
97.5 m
Answers
Answer:
35.5m
Explanation:
Find the diagram attached
First you need to get the missing side of the triangular pool using the pythagoras theorem;
Let the missing side be x
x² = 15² - 13²
x² = 225 - 169
x² = 56
x = √56
x = 7.48m
Amount of meter of fence needed is the perimeter of the triangular pool
perimeter of the triangular pool = 15 + 13 + 7.48
perimeter of the triangular pool = 35.48m
perimeter of the triangular pool = 35.5m
Hence the amount of meters of fence needed is 35.5m
