In the Greenwich Public Library,
about one-tenth of the books are
overdue when they are returned. An
average of 580 books are returned
to the library each day. About how
many books could be expected to be
returned on time each day?

The coordinates after applying a dilation with a scale factor of 1/5 and centered at the origin to the line segment MN with endpoints M(-2, -4) and N(1, 5) are as follows:

   M: (-2, -4) → (-2/5, -4/5)

   N: (1, 5) → (1/5, 1)

So, the matching coordinates for the points are:

M (-2, -4) → (-2/5, -4/5)

N (1, 5) → (1/5, 1)

For such more question on segment

https://brainly.com/question/280216

#SPJ8

The parameters a and b must be set to 1 and 20, respectively, for the function to be linear.

By examining whether the differences between any two sets of y-values are proportionate to the differences between their corresponding x-values, we may establish if the function is linear or not.

Let's figure out the variations:

2 - (-4) = 8 is the difference between the y-values of the second and first pairings.

The x-values of the second and first pairings differ by a - (-3) = a + 3.

The third and second pairings' y-values differ by 10 - 4 = 6, which is how many.

The third and second pairings' x-values differ by 4 - a.

The fourth and third pairings' y-values differ by b - 10, which is 10.

The fourth and third pairings' x-values differ by 9 - 4 = 5.

For the function to be linear, these ratios of differences should be equal:

8 / (a + 3) = 6 / (4 - a) = (b - 10) / 5

Simplifying the first ratio gives us: 8 / (a + 3) = 2 / (a + 3/4), which can only be true if a = 1.

Substituting a = 1 in the third ratio, we get:

(b - 10) / 5 = (b - 10) / (4 - 1)

3(b - 10) = 5(b - 10)

2b = 40

b = 20

Therefore, the values for a and b that would result in the function being linear are:

a = 1; b = 20

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ1

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

Isosceles triangles are triangles that have their base angles to be equal. From the given diagram;

m<BAC = 18 degrees

m<BDC = 48 degrees

Required angle

m<ABD

From the diagram, m<DAB = m<BAC = 18 degrees

Also, m<ADC + m<ACD + m<DAC = 180

Since triangles ACD is isosceles, hence m<ADC = m<ACD. The expression above becomes

m<ADC + m<ADC + m<DAC = 180

2m<ADC + m<DAC = 180

2m<ADC  = 180 - 36

2m<ADC = 144

m<ADC = 144/2

m<ADC = 72 degrees

This means that m<ADB = 72 - m<BDC

m<ADB = 72 - 48

m<ADB = 24 degrees

Get the required angle ABD

From triangle ADB, m<ABD + m<ADB + m<DAB = 180

m<ABD + 24 + 18 = 180

m<ABD + 42 = 180

m<ABD = 180 - 42

m<ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

Learn more here: https://brainly.com/question/16090132

Answer:

your a winner Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2=4

ll. ll

llll

ll

ll

llll

Answer:

Step-by-step explanation:

c is the number of cloth gloves sold.

r is the number of cloth gloves sold.

c + r =127

c = 127 - r

6.95c + 8.95r = 1070.65

6.95(127 - r) + 8.95r = 1070.65

882.65 + 2r = 1070.65

r = 94

c = 33

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ1

Attached picture-.-

hope it helps! ^•.•^

The answer after multiplying the numbers is 67592

Since two numbers are given 1988 and 34

So,

1988

 x34

--------

  7952

5964x

--------

67592

Learn more about multiplication here: https://brainly.com/question/791065

In this scenario, the steps that should be taken to calculate the volume of a prism are:

⇒ A, C, D, and E.

Now, Mathematically, the volume of a prism should be calculated by using this formula:

⇒ V = B × H

Where:

H is the height.

B is the base area.

Hence, In conclusion, you should use the triangle-base and height to solve for the area of the base, and the area of the base (B) is one-half of the product of (3.75) and (3), which is,

= 1/2 x 3.75 x 3

= 5.625 m².

Thus, the steps that should be taken to calculate the volume of a prism are:

⇒ A, C, D, and E.

Read more on prism here:

brainly.com/question/3867601

#SPJ1

Answer:

False - The standard deviation is always positive.

a. Dilation of 2nd equation by a factor of 12

b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles

The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.



To find the margin of error, we need to use the formula:
Margin of error = z* (sigma / sqrt(n))
Where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size.
In this case, we know that the population variance (sigma^2) is 484, which means the standard deviation (sigma) is sqrt(484) = 22.
The sample size (n) is 256.
The confidence level is 95%, which means the z-score is 1.96.
So, plugging these values into the formula, we get:
Margin of error = 1.96 * (22 / sqrt(256))
Simplifying, we get:
Margin of error = 1.96 * (22 / 16)
Margin of error = 2.695


Hence, we use the formula Margin of error = z* (sigma / sqrt(n)), where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, and n is the sample size. The margin of error is 2.695 for a sample size of 256 and a population variance of 484 at a 95% confidence level.

learn more about margin of error click here:

https://brainly.com/question/10218601

#SPJ11

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

To know more about Supreme Court visit:

https://brainly.com/question/29759733

#SPJ11

The rational number that represents the average temperature change per hour is 28/6.

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

Given that, the temperature dropped from 21 degrees to -7 degrees over the course of 6 hours.

The change in temperature is:

21 - (-7)

= 21 + 7

= 28

The average temperature change per hour is:

28/6

Hence, the rational number that represents the average temperature change per hour is 28/6.

Learn more about rational numbers:

https://brainly.com/question/24398433

#SPJ1

Answer:

Step-by-step explanation:

The answer is 49

Answer:

y = mx + b

PLEASE GIVE BRAINLIEST THANK YOU!!!

The size of the overall population is not important in determining the reliability of a poll.

The overall population that a poll is based on does not have anything significant to do with the poll itself which means that it is not important in determining reliability.

This is because the poll uses a sample of the population and not the population itself.

Find out more on the reliability of a poll at https://brainly.com/question/1347272

#SPJ4

Answer:

OC

Step-by-step explanation:

price at store A= $19.95

price at store B= 80%

                         = (100-20) x ($22.50/100)

                         = $18.00

since the price at store B is $18.00, it has better deal as it's cheaper.

correct option= OC

The probability of forming teams with no mixing is 63,063/184,756 = 0.341.

The total number of ways to form 10 teams of 2 from 20 people is \((20 choose 2) * (18 choose 2) * ... * (2 choose 2) = (20!)/(2^{10} * 10!) = 184,756\).

To form teams with no mixing, we need to pair the 10 math majors with each other and the 10 cs majors with each other. The number of ways to do this is \((10 choose 2) * (8 choose 2) * ... * (2 choose 2) = (10!)/(2^5 * 5!)^2 = 63,063\).

Therefore, the probability of forming teams with no mixing is 63,063/184,756 = 0.341.

To form teams with no mixing, we can choose any 2 of the 10 math majors to form the first team, then choose any 2 of the remaining 8 math majors to form the second team, and so on until all 10 teams have been formed. The same process can be applied to the 10 cs majors. This gives us the number of ways to form teams with no mixing. We then divide this by the total number of ways to form teams of 2 from 20 people to get the probability.

For more questions like Probability visit the link below:

https://brainly.com/question/14171874

#SPJ11

a) The 95% lower confidence bound for the true average proportional limit stress of all such joints is approximately 7.7395 MPa. b) The 95% lower prediction bound for the proportional limit stress of a single joint of this type is approximately 8.0227 MPa.

a. To calculate the 95% lower confidence bound for the true average proportional limit stress of all such joints, we can use the formula:

Lower bound = sample mean - (critical value) * (sample standard deviation / sqrt(sample size))

Given that the sample mean is 8.48 MPa, the sample standard deviation is 0.79 MPa, and the sample size is 14, we need to determine the critical value for a 95% confidence level.

Assuming the proportional limit stress follows a normal distribution (which is a common assumption for many statistical analyses), we can use the t-distribution to determine the critical value. With a sample size of 14, the degrees of freedom for the t-distribution would be 14 - 1 = 13.

Looking up the critical value from the t-distribution table or using a statistical software, for a 95% confidence level and 13 degrees of freedom, the critical value is approximately 2.1604.

Now we can calculate the lower bound:

Lower bound = 8.48 - (2.1604) * (0.79 / sqrt(14))

≈ 8.48 - 0.7405

≈ 7.7395

Interpretation: This means we can be 95% confident that the true average proportional limit stress of all joints of this type is at least 7.7395 MPa.

Assumptions: In calculating the lower confidence bound, we made the assumption that the proportional limit stress follows a normal distribution within the population of joint specimens. Additionally, we assumed that the sample is representative of the population.

b. To calculate the 95% lower prediction bound for the proportional limit stress of a single joint of this type, we use a similar approach. However, instead of considering the standard deviation of the sample, we consider the standard error, which takes into account the uncertainty in estimating the population mean.

The formula for the 95% lower prediction bound is:

Lower bound = sample mean - (critical value) * (sample standard error)

The sample standard error is calculated by dividing the sample standard deviation by the square root of the sample size:

Sample standard error = sample standard deviation / sqrt(sample size)

Using the same values as in part a, we can calculate the sample standard error:

Sample standard error = 0.79 / sqrt(14)

≈ 0.2114

Again, we need to determine the critical value from the t-distribution table or software. With 13 degrees of freedom, the critical value for a 95% confidence level is approximately 2.1604.

Now we can calculate the lower prediction bound:

Lower bound = 8.48 - (2.1604) * (0.2114)

≈ 8.48 - 0.4573

≈ 8.0227

Interpretation: This means we can be 95% confident that the proportional limit stress of an individual joint of this type will be at least 8.0227 MPa based on the observed sample data.

It's important to note that the prediction interval accounts for both the variability in the sample mean and the variability in individual observations, providing a more conservative estimate compared to the confidence interval for the population mean.

Assumptions: Similar to part a, we made the assumption that the proportional limit stress follows a normal distribution within the population of joint specimens and that the sample is representative of the population. Additionally, we assumed independence of the joint specimens and that the distribution of the proportional limit stress does not change over time or with other factors.

Learn more about sample mean at: brainly.com/question/31101410

#SPJ11

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

hope this helped youuu

Answer:

C. 1458 cubic units.

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

Hope this helps you!!

Please Mark me Brainleast!!!!!!!

Answer:

To complete the square for the quadratic expression x^2 + 16x + 22, we need to add and subtract (16/2)^2 = 64 inside the parentheses. This gives us (x^2 + 16x + 64) - 64 + 22, which can be simplified to (x + 8)^2 - 42. So, the expression x^2 + 16x + 22 can be rewritten as a perfect square by completing the square as (x + 8)^2 - 42.

Step-by-step explanation:

The piece of gum is stuck to the rear wheel. Then the minimum height is 8ft and the maximum height is 8ft from the ground.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A rider is riding a bicycle on a 6-foot wall at a rate of 1 foot per second.

The wheels have a radius of 1 foot, and a piece of gum becomes stuck to the rear wheel as shown, continuing to travel with the bicycle.

Then the diameter of the rear wheel is 2 ft.

A rider is riding a bicycle on a 6-foot wall, therefore the height of the lowest point of the rear wheel is 6 ft from the ground. And the highest point of the rear wheel is (6 + 2 = ) 8 ft.

If the piece of gum is stuck to the rear wheel, hence the minimum height is 8ft and the maximum height is 8ft from the ground.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

minimum 6ft, max 8 ft

Step-by-step explanation:

Answer: 4x+6/x^2

Step-by-step explanation:

The equations y = 3x - 5 and y = (1/2)x + 5 on a coordinate plane by plotting points and connecting them to form straight lines. The first equation has a slope of 3 and y-intercept of -5, while the second equation has a slope of 1/2 and a y-intercept of 5.

Equation: y = 3x - 5

This equation represents a linear function with a slope of 3 and a y-intercept of -5. The slope of 3 indicates that for every 1 unit increase in x, the corresponding y-value increases by 3 units. The y-intercept of -5 means that the graph intersects the y-axis at the point (0, -5).

Equation: y = (1/2)x + 5

This equation also represents a linear function, but with a different slope and y-intercept. The slope of 1/2 means that for every 1 unit increase in x, the corresponding y-value increases by 1/2 unit. The y-intercept of 5 indicates that the graph intersects the y-axis at the point (0, 5).

To graph these equations, you can plot a few points on a coordinate plane and then connect them to create a straight line. For example:

For the equation y = 3x - 5:

Choose different x-values (e.g., -2, 0, 2).

Calculate the corresponding y-values using the equation.

Plot the points (-2, -11), (0, -5), and (2, 1).

Connect the points to form a straight line.

For the equation y = (1/2)x + 5:

Choose different x-values (e.g., -4, 0, 4).

Calculate the corresponding y-values using the equation.

Plot the points (-4, 3), (0, 5), and (4, 7).

Connect the points to form a straight line.

for such more question on coordinate

https://brainly.com/question/30107320

#SPJ8

The p-value for testing the hypothesis that the slope of commute is different from zero in the multiple regression predicting price based on lot size, commute, year built, and days on realtor.

In statistical analysis, the p-value is used to determine the significance of a predictor variable in a regression model. A p-value less than a chosen significance level (usually 0.05) indicates that there is strong evidence to reject the null hypothesis, suggesting that the predictor variable has a significant effect on the dependent variable.

In this case, the multiple regression model is used to predict the price of homes based on lot size, commute, year built, and days on realtor. The specific focus is on the slope of the commute variable, and we want to determine if it is significantly different from zero. The p-value obtained from the regression analysis is less than 0.0001, indicating strong evidence against the null hypothesis. Therefore, we can conclude that the slope of the commute variable is indeed different from zero, meaning that it has a significant impact on the price of homes in the Gainesvillehomes SP2019 dataset.

Learn more about  hypothesis here:

https://brainly.com/question/32562440

#SPJ11

If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4