The slope-intercept form of the line is given by:
\(\begin{gathered} y=mx+b \\ where\colon \\ m=slope \\ b=y-intercept \\ \end{gathered}\)So, for:
\(\begin{gathered} y=x+4 \\ m=slope=1 \\ b=y-intercept=4 \end{gathered}\)Find the measure of 43.
<3
75
43 = [?]
Answer:
both are parallel to each other will make same angle 75 is correct
Find the sum of 109+643 then use estimation to see if your answer is reasonable
Answer:
800
Step-by-step explanation:
I am not so sure because you didn't explain the question well
could someone please help me asap
Answer:
90 degrees+90 degrees+32degrees
=212 degrees
Twenty four blood samples were selected by taking every seventh blood sample from racks holding 199 blood samples from the morning draw at a medical center ANSWER BOTH A AND B
a. FPCF for this sample is FPCF = √(199/24) = 2.89.
b. The population cannot be considered effectively infinite, so the answer is no.
What is FPCF?When the sample size is significant compared to the size of the community, the Finite Population Correction Factor, also known as the FPC factor, is applied. The population in most cases is so vast that typical sample sizes are insufficient to raise concerns about the need for the FPC.
The recommendation is to use the FPC when the sample size to population size ratio is higher than 5%. The FPCF must be used, for instance, if the population number is 300 and the sample size is 30, which results in a ratio of 10%.
a. To calculate the FPCF (finite population correction factor) for this sample, we can use the formula:
FPCF = √(N/n)
where N is the population size, and n is the sample size.
In this case, N = 199 (the number of blood samples in the racks), and n = 24 (the number of samples selected every seventh blood sample).
FPCF = √(199/24) = 2.89 (rounded to two decimal places)
b. To determine whether the population should be considered effectively infinite, we need to compare the sample size to the population size. A general rule of thumb is that the population can be considered effectively infinite if the sample size is less than 5-10% of the population size.
In this case, the sample size is 24, which is approximately 12% of the population size of 199. Therefore, the population cannot be considered effectively infinite, and the FPCF should be applied to adjust for the finite population size.
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Compare and contrast the effects that a proportional dimension change has on perimeter and area of figures.
like a sentence or a few
a proportional dimension change has a proportional effect on the perimeter, but a quadratic effect on the area of figures.
Define area of fig?
The area of a figure refers to the measurement of the region enclosed by the boundary of a two-dimensional shape or a flat surface. Square units like square inches, square feet, square metres, etc. are used to measure it.
A proportional dimension change in a figure occurs when all the sides are multiplied by the same factor. When this happens, the perimeter of the figure also changes proportionally to the factor of the dimension change. For example, if all the sides of a rectangle are multiplied by 2, the perimeter will also be doubled.
However, the area of the figure changes proportionally to the square of the factor of the dimension change. For example, if all the sides of a rectangle are multiplied by 2, the area will be multiplied by 4 (2²).
In summary, a proportional dimension change has a proportional effect on the perimeter, but a quadratic effect on the area of figures.
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Compare and contrast the effects that a proportional dimension change has on perimeter and area of figures?
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of defective items in the shipment is larger than 0.1. In a sample of 400 items from the shipment, Company B finds that 59 are defective. Conduct the appropriate hypothesis test for Company B using a 0.05 level of significance.
Answer:
\(z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17\)
The p value for this case would be given by:
\(p_v =P(z>3.17)=0.00076\)
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
\(\hat p=\frac{59}{400}=0.1475\) estimated proportion of defectives from the company B
\(p_o=0.1\) is the value to verify
\(\alpha=0.05\) represent the significance level
z would represent the statistic
\(p_v\) represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:\(p \leq 0.1\)
Alternative hypothesis:\(p > 0.1\)
The statistic would be given by:
\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)
Replacing the info given we got:
\(z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17\)
The p value for this case would be given by:
\(p_v =P(z>3.17)=0.00076\)
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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I don't know how to solve these. please help. show work please.
Answer:
11. B 12. C 13. B
Step-by-step explanation:
11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.
12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.
13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.
Good luck...hope this helped ;)
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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what is the solution to the inequality below?
\( \sqrt{x} \leqslant 5\)
Answer:
\( x \leqslant \sqrt{5}\)
Step-by-step explanation:
Hope this helped!
8x^3+9x^7+5x^3+2+7x^7
Answer:
16x^7+13x^3+2
Step-by-step explanation:
8x^3+9x^7+5x^3+2+7x^7
Add 8x^3 and 5x^3 (don’t add the exponents together )
13x^3+9x^7+2+7x^7
Add 9x^7 and 7x^7
13x^3+16x^7+2
Then put them in order from biggest exponent to smallest
16x^7+13x^3+2
If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB
Answer:
B
Step-by-step explanation:
26 divides by 2 = 13
13+2=14
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
.54 oz of premium walnuts costs $12.95. what is cost per ounce
The cost per ounce of the premium walnut is $0. 23
What is proportion?To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such that they are made equal to another.
From the information given, we have that;
54 ounces of premium walnuts costs $12.95
This is represented as;
54 ounces = $12. 95
Then 1 = x
cross multiply the values, we get;
x = $12.95/54
Divide the values, we get;
x = $0. 23
Hence, the value is $0. 23 per premium walnut
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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which expression will result in a product Less Than Zero
If we take the product of two numbers such that one of the numbers is a negative number and the other number is a positive number, then the product of the numbers will be less than zero.
If x and y be two numbers then,
\(xy<0,\text{ if x<0 or y<0 and x,y}\ne0\)Can someone help me with this? I’m confused
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
I need help with the second part
The probability that each bill is a $1 bill is given as follows:
1/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.
Hence the probability that each bill is a $1 bill is obtained as follows:
p = 1/4 x 1/4
p = 1/16.
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Jason tried to find an expression equivalent to the rational expression −4x4+12x3−7x+22x2+1 by using polynomial long division. His work is shown below.Jason concluded that −2x2+7x+−14x+22x2+1 was equivalent to the rational expression. Jason's conclusion is incorrect.
Which statement BEST explains where Jason made an error?
She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The rational expression is given in the question as:
\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)
Divide the leading term of the dividend by the leading term of the divisor:
\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)
Write down the calculated result in the upper part of the table.
Multiply it by the divisor
\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)
Thus, Jason made a mistake in multiplying 2x²+1 by -2x².
Hence, the correct answer would be option (B).
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please help Pythagorean theorem
please answer all the question
Answer:
a)5
b)17
c) ?
\(d) 3\sqrt{2}\)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Formula: \(a^{2} + b^{2} = c^{2}\)
A.)
\(a^{2} + b^{2} = c^{2}\)
\(4^{2} +3^{2} = c^{2}\)
16 + 9 = \(c^{2}\)
25 = \(c^{2}\)
5 = c
__________________________________________________________
B.)
\(15^{2} + 8^{2} = c^{2}\)
225 + 64 = \(c^{2}\)
289 = \(c^{2}\)
17
__________________________________________________________
C.)
\(11^{2} + 14^{2} = c^{2}\)
121 + 196 = \(c^{2}\)
317 = \(c^{2}\)
17.8
__________________________________________________________
D.)
\(3^{2} + 3^{2} = c^{2}\)
9 + 9 = \(c^{2}\)
18 = \(c^{2}\)
4.2
Sry my Wi-Fi is actin up
Melissa is going shopping. She has no more than $55.00 to spend on
new clothes. She wants to buy a pair of pants for $19.95 and some t-
shirts that cost $9.50 each.
Write an inequality and solve it for the number of shirts that Melissa
can buy.
Answer:
3
Step-by-step explanation:
She has no more to spend than $55, which means the starting equation is:
x<=55.
She wants to buy ONE pair of pants, which means that you have to subtract 55 by 19.95.
55-19.95=35.05;
x<=35.05;
Each t-shirt costs 9.5 each, which means the equation is now
9.5x<=35.05
Which, if you divide by 9.5 on both sides, is
x<=3.68947368.
So, at most, she can buy 3 shirts.
Each pair of numbers determines by what percentage the second is greater than the first and by what percentage the first number is less than the second.
100 and 110
The percentage of the second is greater than the first and the first number is less than the second will be 10% and 9.09%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolised by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Each pair of numbers determines by what percentage the second is greater than the first. Then we have
P = [(110 - 100) / 100] x 100
P = (10/100) x 100
P = 0.10 x 100
P = 10%
The percentage of the first number is less than the second is given as,
P = [(110 - 100) / 110] x 100
P = (10 / 110) x 100
P = 0.0909 x 100
P = 9.09%
The percentage of the second is greater than the first and the first number is less than the second will be 10% and 9.09%.
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HELP ME OUT ASAPPP PLSSS
Answer:
https://linksharing.samsungcloud.com/ul5cX9oOmhzt
Help with math problems
(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.
What is inequality?Inequality refers to the state of being unequal or not equal in some respect. It can refer to various forms of disparities or differences, such as differences in income, wealth, education, opportunities, health, or social status, among others. Inequality can occur between individuals, groups, communities, or nations, and it can be caused by various factors, such as discrimination, historical legacies, social structures, policies, or economic systems. Inequality is often considered a social problem because it can lead to social tension, unrest, and injustice, as well as undermine economic growth and human development.
(D) |k - 7| < - 6 has no solution is not a true statement because an absolute value can never be negative, so the inequality has no solution.
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Work out the surface area.
Answer:
The surface area (SA) of the given triangular prism is 120m.
Step-by-step explanation:
Greetings !
B/c, SA=bh+(b₁+b₂+b₃)l
SA=4(3)+(4+3+5)9SA=12+(12)9SA=12+108SA=120mAnswer:
SA = 120 m2
Step-by-step explanation:
one 9×5 rectangle = 45 m2
one 4×9 rectangle = 36 m2
one 9×3 rectangle = 27 m2
two (4×3)/2 triangles = 6 + 6 = 12 m2
Add the areas:
surface area = 45 + 36 + 27 +12 = 120 square meters
Hope this helps
A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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To find the distance AB across a river, a distance BC=290 is laid off on one side of the river. It is found that B=117degrees and C=24degrees. Find AB.
The value of distance AB is 187.5 units
What is sine rule?Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
sine rule can be expressed as;
a/sinA = b/sinB = c/sinC
The opposite side to angle A is BC
the opposite side to angle C is AB
therefore;
A = 180-( 117 +24)
A = 180- 141
A = 39°
290/sin 39 = x/ sin24
xsin39 = 290 × sin24
0.629x = 117.95
x = 117.95/0.629
x = 187.5
therefore the distance AB is 187.5
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What is the value of x in the image below.
Answer:
16xthe equal parts squares
Step-by-step explanation:
if that is correct let me know of the ewuation
What value will make the equation true?
Answer:
-.6
Step-by-step explanation:
-2.1 - x = -1 1/2
Change the fraction to a decimal
-2.1 -x = - 1.5
Add 2.1 to each side
-2.1 -x+2.1 = -1.5 +2.1
-x = .6
Multiply each side by -1
x = -.6
Rewrite the equation in simplified slope-intercept form: 77-y=5x
The equation of the line in slope - intercept form is -
y = - 5x + 77.
What is the equation of a straight line in slope - intercept form?The equation of a straight line in slope - intercept form is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the equation as -
77 - y = 5x
We have the equation in the slope - intercept form as -
77 - y = 5x
y = 77 - 5x
y = - 5x + 77
Therefore, the equation of the line in slope - intercept form is -
y = - 5x + 77.
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