12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
10 feet deep on ONE side of the street along a 1 mile section of a parade route.
using the slope formula find the slope of the line that passes through these points (2,5) and (8,-3)
Answer:
-4/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-3-5/8-2
-8/6
-4/3
Best of Luck!
Answer:
-4/3
Step-by-step explanation:
You can use rise/run. The rise (y values) goes from 5 to -3. You subtract 8 for this. The run (x values) goes from 2 to 8. You add 6 for this. the proportion is -8/6, which can be simplified to -4/3.
Therefore, the slope is -4/3!
Hope I helped!!!!!!
Question of the day
Fill in the table of values below for the equation y=x+3
Х
у
Answer:
yuuurrrppp
Step-by-step explanation:
What is the answer to 2+2?
A- 4
B- 5
C- 22
D- 8
Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.
your daily calorie intake and your GPA
The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.
It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.
If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.
On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.
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What is the domain of the function represented by this graph?
Options:
A : real numbers
B: x >0
C x>4
D: -2
Answer:
all real values
Step-by-step explanation:
the domain is the possible input values
The domain is all real values since we can put in any value for x
Answer:
A) All Real Numbers
Step-by-step explanation:
Just is
A carpenter builds boekshelves and tables for a flving- Each bookshelf takes eoe box of screws, two
2×4
s, and four sheets of plywood to make. Each table takes two boxes of serews, fwo
2×4
k, an three sheets of plyaced. The capenter has 75 boxes of screws,
952×4
's, and 255 shects of plywood on hand. in order to maimize their proft using these materials on hand, the carpenter has determined that they most buld 11 shelves and 24 tables. Hew many of each of the meterials (boxes of screws,
2×4
s, and sheets of plywood) are lefovec, nhen the carpenter builds 18 shelves and 24 tables? The carpenter hat benes of screws,
2×4
's, and theets of plywood leftoven A carpenter buldes bookshelves and tables for a Ining. Each booksheif takes one box of wcrews, two
2×45
, and four sheets of plywood to make. Each table takes two boves of screns, two
2×4
s, and three sheets of plyweod. The carpenter has 75 bewes of screws,
952×43
, and 155 sheets of pliwood on hend. In order to maximite their proff usimp these materias co hand, the carpentee has determined that they must buid 18 shelves and 24 tabies. How many of coch of the matersis (bokes of ucrews,
2×43
, and sheets of Elywoed) ore leftove, when the carpenter buibs as ahelves and 24 tables? The campenter has boxes of screws,
2×4
s.s, and sheets of plywood leftover?
After building 18 shelves and 24 tables, the carpenter will have 9 boxes of screws, 80 2x4s, and 39 sheets of plywood leftover.
To find the leftover materials, we need to calculate the total materials used to build 18 shelves and 24 tables, and then subtract that from the total materials the carpenter had on hand.
For 18 shelves, the carpenter used 18 boxes of screws, 36 2x4s, and 72 sheets of plywood. For 24 tables, the carpenter used 48 boxes of screws, 48 2x4s, and 72 sheets of plywood.
So, the carpenter used 66 boxes of screws, 84 2x4s, and 144 sheets of plywood in total.
Subtracting this from the materials on hand, we get 9 boxes of screws, 80 2x4s, and 39 sheets of plywood leftover.
Therefore, the carpenter can potentially use these leftover materials for future projects or sell them to recoup some of their costs.
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If A and B are 3 X 3 matrices, det (A) = -5, det (B) = 9, then det (AB) = det (3A) = det (A^T) = det (B^-1) = det (B^4) =
det(A) = -5 and det(B) = 9, the determinants of various matrix expressions are as follows: det(AB) = -45, det(3A) = -125, det(A^T) = -5, det(B^-1) = 1/9, and det(B^4) = 6561.
The determinant of a matrix represents a scalar value that provides information about the matrix's properties. Here are the explanations for each determinant calculation:
det(AB): The determinant of the product of two matrices is equal to the product of their determinants. Hence, det(AB) = det(A) * det(B) = (-5) * (9) = -45.
det(3A): The determinant of a scalar multiple of a matrix is equal to the determinant of the original matrix raised to the power of the scalar. Therefore, det(3A) = (3^3) * det(A) = 27 * (-5) = -125.
det(A^T): The determinant of a matrix remains the same when taking its transpose. Hence, det(A^T) = det(A) = -5.
det(B^-1): The determinant of the inverse of a matrix is the reciprocal of the determinant of the original matrix. Thus, det(B^-1) = 1/det(B) = 1/9.
det(B^4): The determinant of a matrix raised to a power is equal to the determinant of the original matrix raised to the same power. Therefore, det(B^4) = (det(B))^4 = (9)^4 = 6561.
These determinants can be useful in understanding the properties and transformations of matrices in various mathematical and scientific applications.
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12
Solve for a.
✓ [?]
9
a =
Enter the number that
goes beneath the
radical symbol
a
Answer:
63
Step-by-step explanation:
Use Pythagorean theorem,
base² + altitude² = hypotenuse²
a² + 9² = 12²
a² = 12² - 9²
a² = 144 - 81
a² = 63
a = √63
A normal probability distribution a. can be either continuous or discrete. b. is a continuous probability distribution. c. must have a standard deviation of 1. d. is a discrete probability distribution.
The correct answer is b. A normal probability distribution is a continuous probability distribution, which means that it can take on any value within a given range.
This type of distribution is often used to model real-world phenomena that are measured on a continuous scale, such as height or weight. Unlike discrete probability distributions, which have a finite number of possible outcomes, a continuous distribution has an infinite number of possible outcomes. It's important to note that while a normal distribution is continuous, not all continuous distributions are normal. A normal distribution has a specific bell-shaped curve that is defined by its mean and standard deviation, and it is often used in statistical analysis to make predictions about the likelihood of certain events occurring within a given population. In summary, a normal probability distribution is a type of continuous probability distribution that is often used to model real-world phenomena. While it has a specific shape and can be described by its mean and standard deviation, it is not always the best model for every situation.
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Select the correct answer. Circle M dilated by a scale factor of 3 gives circle N. If the circumference of circle N is 6 cm, what is the circumference of circle M? The picture shows two circles. A small circle with a center M and a large circle with a center N. A. 54 cm B. 3 cm C. 18 cm D. 2 cm
The circumference of circle M is 2cm, the correct option is (D) 2 cm.
If circle M is dilated by a scale factor of 3 to obtain circle N, we can determine the circumference of circle M by dividing the circumference of circle N by the scale factor.
The scale factor of 3 means that every linear dimension (such as radius or diameter) in circle N is three times larger than the corresponding dimension in circle M. Since the circumference is directly proportional to the radius or diameter of a circle, we can conclude that the circumference of circle N is three times the circumference of circle M.
Given that the circumference of circle N is 6 cm, we can divide this value by 3 to find the circumference of circle M:
Circumference of circle M = Circumference of circle N / Scale factor
Circumference of circle M = 6 cm / 3
Circumference of circle M = 2 cm
Therefore, the correct answer is:
D. 2 cm
The circumference of circle M is 2 cm.
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Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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Can someone please help me with this and show work if you can .
Answer:
see in step 2, he added 20 at x² + 8x - 70 and 0
but he must add 70 at x² + 8x - 70 and 0 to have x² + 8x = 70
Step-by-step explanation:
What is the volume of a cube whose edges each have a measure of 1. 5 cm? 2. 25 cm³ 3. 375 cm³ 4. 5 cm³ 9 cm³.
The volume of the cube whose edges each have a measure of 1. 5 cm is 3.375 cm³.
What is of volume of solid?Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The more the volume of an object it obtains, the more space. Liter is the most common unit to measure the volume of a solid.\
The volume of the cube is given by,
\(V=a^3\)
Here, (a) is the side length of the cube.
The measures of each edges of the cube is 1. 5 cm. Thus, the volume of this cube can be given as,
\(V=(1.5)^3\\V=3.375\rm cm^3\)
Thus, the volume of the cube whose edges each have a measure of 1. 5 cm is 3.375 cm³.
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Research suggests that half the American public believes in at least one conspiracy theory. Some of the more popular theories involve a secret group controlling the world, a faked moon landing, and Area 51 and aliens. You might consider investigating the theory about lizard people who control our society. The research results are often very different according to political affiliation. A random sample of Democrats and Republicans were asked if they believe pharmaceutical companies invent new diseases to make money. The resulting data are given in the table. Number who believe Political Sample pharmaceutical companies affiliation size invent diseases Democrats 788 137 Republicans 866 105 1. Is there any evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans? Use alpha = 0.01. 2. Calculate the test statistic and p value for this hypothesis test. Assume p, is the proportion of Democrats and P2 is the proportion of Republicans.
the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis
To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.
Let's set up the hypotheses:
Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)
Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)
We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:
\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)
where:
- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.
- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.
- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.
The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.
Given the sample data:
Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)
Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)
Let's calculate the test statistic and the p-value:
Step 1: Calculate \(\( \hat{p} \)\):
Total number of believers = 137 + 105 = 242
Total sample size = 788 + 866 = 1654
\(\( \hat{p} = \frac{242}{1654} \)\)
Step 2: Calculate the test statistic (Z):
\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)
≈ -1.258
Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.
To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.
Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.
Conclusion:
Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.
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Donna made $396 for 18 hours of work.
At the same rate, how much would she make for 13 hours of work?
Answer:
$286
Step-by-step explanation:
396/18 = $22 per hr x 13 hrs = $286
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Write the equation of the line that is parallel to y=-3x - 1 and passes through (2, -1)
Answer:
Step-by-step explanation:
y + 1 = -3(x - 2)
y + 1 = -3x + 6
y = -3x + 5
Determine which expressions can be simplified further.
Answer:
\({ \colorbox{lightgreen}{can \: be \: simplified}} \\ \dashrightarrow \: { \sf{ \blue{9x + 6x}}} \: \: \: \: \: \\ \hookrightarrow \: { \mathfrak{simplification}} \: \: \: \\ { \sf{ = (9 + 6)x}} \\ { \underline{ \sf{ \: = 15x \: \: \: \: \: \: \: \: \: \: }}} \\ \\ \dashrightarrow \: { \sf{ \blue{4x + x}}} \: \: \\ \hookrightarrow \: { \mathfrak{simplification}} \\ { \sf{ = (4 + 1)x}} \\ { \underline{ \sf{ \: = 5x \: \: \: \: \: \: \: \: \: \: \: \: }}} \\ \\\dashrightarrow \: { \sf{ \blue{y + 2y}}} \\ \hookrightarrow \: { \mathfrak{simplification}} \\ { \sf{ = (1 + 2)y}} \\ { \underline{ \sf{ \: = 3y \: \: \: \: \: \: \: \: \: \: \: \: }}}\)
\({ \colorbox{lightgreen}{cannot \: be \: simplified}} \\ \dashrightarrow \: { \sf{2x + 3y}} \\ \dashrightarrow \: { \sf{7y + 1 \: \: }} \\ \dashrightarrow \: { \sf{4y + 4x}}\)
Julie started to solve the exponential expression (–2)3. (–2)3 = –2 ⋅ –2 ⋅ –2 = ? Which of these explains why Julie gets a negative number for her final answer? Question 25 options: The exponent 3 is an odd number. The base –2 is an even number. The base –2 is a negative number. The exponent 3 is a positive number.
Answer:
The base –2 is a negative number
Step-by-step explanation:
We need to solve the exponential expression (–2)³.
(–2)³ = -2×-2×-2
= -8
The final answer is -8. It is negative. It is because the base i.e. -2 is an even number. If the base is negative and the power is odd, the answer will be a negative number. Here, base is -2, power is 3. Hence, the correct option is (c) "The base –2 is a negative number".
Answer:
The exponent 3 is an odd number.
Step-by-step explanation:
Since the exponent (3) is an odd number, the answer will be negative. Answer: –8
Sidenote: I got this answer correct on the test :)))
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Answer: pentagon
Step-by-step explanation:
use deductive reasoning to write a formula for the perimeter P of a regular polygon with n sides, where each side is s.
Step-by-step explanation:
If each side is s and the regular polygon has n sides, then the perimeter P must be n * s.
Equation for perimeter of regular polygon = ns
Given that;
Number of sides of regular polygon = n
Length of each side = s unit
Find:
Equation for perimeter of regular polygon
Computation:
Perimeter of regular polygon = [Number of sides of regular polygon[[Length of each side]
Equation for perimeter of regular polygon = [n][s]
So,
P = ns
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What is the domain for the given function?
3 + 9x
4+5x
Answer:
12x plus 9x
Step-by-step explanation:
Roberto wrote a sentence that describes an equation.
Half of a number is 45.
Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90
Answer: D: x/2 = 45; x = 90
Step-by-step explanation:
half of a number is 45:
x/2 = 45
.: x = 90
Your answer is D
Answer:
D
Step-by-step explanation:
Solve the equation. | 2x + 0.75 |=5 6/7
Answer:
the first one if you solve it it will be the same and the second one 41/7
Step-by-step explanation:
\(~~~~|2x +0.75| = 5 \dfrac 67\\\\\\\implies \left|2x+\dfrac 34\right| = \dfrac{41}7\\\\\\\implies 2x +\dfrac 34 = \dfrac{41}7~~~~ \text{or}~~~~ 2x + \dfrac 34 =- \dfrac{41}7\\\\\\\implies 2x = \dfrac{41}7- \dfrac 34~~~~ \text{or}~~~~ 2x = -\dfrac 34 - \dfrac{41}7\\\\\\\implies 2x = \dfrac{143}{28}~~~~~~~~ \text{or}~~~~ 2x = -\dfrac{185}{28}\\\\\\\implies x = \dfrac{143}{56}~~~~~~~~~ \text{or}~~~~~ x = -\dfrac{185}{56}\\\\\\\)
\(\implies x = 2\dfrac{31}{56}~~~~~~~~~ \text{or}~~~~~ x = -3\dfrac{17}{56}\\\)
Help me answer this math question
The equation representing the total number of students in the class: b+g=36
The equation representing the total number of boys in the class: b=2g-3
Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26
A patient was
given
medicine. She took 5 ml of
medicine 3 times in one day. How much medicine did
she take in total that day?
help?????????????????
Answer:
\( 1)-\sqrt{2.25} = - \sqrt{225 \times {10}^{ - 2} } \\ = -\sqrt{225} \times \sqrt{ {10}^{ - 2} } \\ =- 15 \times {10}^{ - 1} =- 1.5 = -\frac{3}{2} \\ 2) -\frac{3}{2} = -1.5 \\ thank \: you\)
Determine whether the following equation defines y as a function of x. x-5 = y^2 Does the equation x - 5 = y^2 define y as a function of x? Yes No
The given equation "x - 5 = y^2 " does not define y as a function of x. This is because for each value of x, there are two possible values of y. Hence, the answer to this question is No.
For example, if x = 9, then y can be either 2 or -2. This violates the definition of a function, which states that for each input there should be exactly one output. Therefore, it is determined that the equation "x - 5 = y^2" does not define y as a function of x because for each value of x, there exist two possible values of y.
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Which polygon will always have 4-fold reflectional symmetry.
A square will always have 4-fold reflectional symmetry.
Square is a polygon with four equal sides and four right angles. It possesses 4-fold reflectional symmetry because it can be divided into four equal quadrants that are mirror images of each other. Each quadrant can be reflected along two perpendicular lines, resulting in four identical parts. The lines of reflection are the diagonals of the square, which bisect each other at right angles. This symmetry property makes the square an ideal choice for designs or patterns that require balanced and symmetrical elements.
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a. What is the perimeter of a square with side length:
3 cm
7 cm
scm
b. If the perimeter of a square is 360 cm, what is its side length?
c. What is the area of a square with side length:
3 cm
7cm
scm
d. If the area of a square is 121 cm², what is its side length?
Answer:
a. what is the perimeter of a square with side length:
3 cm=12cm
7 cm=28
b.90