Sarah enjoys reading books as a hobby. Complete the rate chart below to find how many pages Sarah reads in a certain number of hours. Time (in hours) 3 6 9 12 15 Number of Pages Read 120 240 360 480 ? A. 780 B. 520 C. 600 D. 578

Answer:

  6

Step-by-step explanation:

The degree of 8m^2n^4 is the sum of the exponents of the variables:

  2 + 4 = 6

The monomial has degree 6.

Answer:

Step-by-step explanation:

Final answer:

Using proportional reasoning from the sample survey where 16 out of 60 students favored the aquarium, it's predicted that approximately 192 out of 720 students in the entire school would prefer the aquarium as their favorite field trip.

Explanation:

We can predict the number of students who would choose the aquarium as their favorite field trip by using proportional reasoning based on the sample provided. In the survey, 16 out of 60 students chose the aquarium which gives us the ratio of 16/60 or approximately 0.267 (rounded to three decimal places).

To find out how many out of the entire school population of 720 students would likely choose the aquarium, we multiply the total number of students by this ratio:

(Total number of students) times (Ratio favoring aquarium)
720 times 0.267 = 192

Therefore, we would predict that approximately 192 students in the school would choose the aquarium as their favorite field trip.

Answer:

x =89

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360 degrees

88+154+x+29 = 360

Combine like terms

271 +x = 360

271+x-271 = 360-271

x =89

Answer:

62

Step-by-step explanation:

length of rectangle = 2* diameter = 24

width  = diameter = 12

area = 24*12 - 2 * pi * 6^2 = 61.8

Your answer would be the second option, 62.

To answer this we need to find the area of the 2 circles, and then subtract this from the area of the rectangle to find the shaded area.

The equation for the area of a circle is πr², so for one circle this would be π × 6² = 36π. Since we're taking π = 3.14, this comes out as 113.04 as the area for once circle, which means the area for both circles would be 113.04 × 2 = 226.08.

To find the area of the rectangle, we need to notice that the height of the rectangle is the diameter of one circle, and the width is 2 multiplied by the diameter of the circle, because there are 2 diameters right next to each other. The diameter of one circle is 6 × 2 = 12, so this is the height, which means the width of the rectangle is 12 × 2 = 24. This means the area of the rectangle is 24 × 12 = 288.

Now the last step is to do 288 - 226.08 = 61.9 = 62.

I hope this helps!

Answer:

orchestra​ seats = 140 seats

main​ seats = 350 seats

balcony seats = 210 seats

Step-by-step explanation:

Let x = number of orchestra seats

Let y = number of main seats

Let z = number of balcony seats

Theater has 700 seats. Thus;

Total seat equation is;

x + y + z = 700 - - - - (1)

We are told Orchestra seats sell for $ 50, main seats for $ 40, and balcony seats for $ 25 and a gross revenue of $26,250

Thus ;

all seats revenue equation is;

50x + 40y + 25z = 26250 - - - (eq2)

Now, we are told that, when all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 22,750

Thus, we have;

½(50x) + 40y + 25z = 22,750

Which gives ;

25x + 40y + 25z = 22,750 ---(eq3)

Solving the 3 equations simultaneously, we have;

x = 140

y = 350

z = 210

Answer:

4cm; 1.79 cm.

Step-by-step explanation:

Okay, this question is about the Calculation involving the volume of a box with a square base and a height.

So, the volume of the box = length × width × height ---------------------------(1).

Therefore, we are going to make use of Equation (1) to determine the solution to this question, so that we have;

For Box A; We are given our volume to be equal to 32cm^3, height = 2cm, length and width = x cm.

For Box B = 32 = 2x^2.

x^2 = 16..

x = 4.

Note that Length = width.

For box B=> 32 = 10x^2.

x = √3.2 cm. = 1.79 cm.

Final answer:

The height of Box A with a base area of 32 square centimeters is 1 cm.

Explanation:

To find the height of Box A, we need to use the formula for the volume of a rectangular box, which is V = length * width * height. Given that the base area of Box A is 32 cm2 and assuming that the volume of Box A is equal to the volume of Box B, we can express their volumes as proportional to each other based on their dimensions.

Box A has a volume of 32 cm³ with a base area of 32 square centimeters.

Volume of Box A = Base Area x Height = 32 cm² x Height = 32 cm³

Height of Box A is 1 cm.

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

H₀: Age of a young adult and movie preference are independent.

Hₐ: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]

Consider the table below.

The formula to compute the expected frequencies is:

[tex]E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}[/tex]

The Chi-square test statistic value is:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013[/tex]

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the p-value as follows:

p-value = 0.6266

*Use a Chi square table.

As the p-value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

Answer:

We conclude that we fail to reject [tex]H_0[/tex] as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.

Step-by-step explanation:

We are given that among 317 tested​ subjects, results from 25 subjects were wrong.

We have to test the claim that less than 10 percent of the test results are wrong.

Let p = proportion of subjects that were wrong.

So, Null Hypothesis, [tex]H_0[/tex] : p = 10%     {means that 10 percent of the test results are wrong}

Alternate Hypothesis, [tex]H_A[/tex] : p < 10%     {means that less than 10 percent of the test results are wrong}

The test statistics that would be used here One-sample z proportion statistics;

                      T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p (1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of test results that were wrong = [tex]\frac{25}{317}[/tex] = 0.08

           n = sample of tested subjects = 317

So, test statistics  =  [tex]\frac{0.08-0.10}{\sqrt{\frac{0.08 (1-0.08)}{317} } }[/tex]

                              =  -1.31

The value of z test statistics is -1.31.

Now, the P-value of the test statistics is given by the following formula;

                P-value = P(Z < -1.31) = 1 - P(Z [tex]\leq[/tex] 1.31)

                              = 1 - 0.9049 = 0.095

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test. Since our test statistics is more than the critical value of z as -1.31 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that we fail to reject [tex]H_0[/tex] as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.

Answer:

2 sq. ft. ?

Step-by-step explanation:

hope we can be friends

can i please get brainliest

Answer: 2,820 (use the profit equation from the first question )

Answer:

for  edg its 3x - 180 and the other one is  2820

Step-by-step explanation:

bc i just took it

Answer:

3 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

Answer:

  c.  6

Step-by-step explanation:

The degree of a vertex is the number of arc ends that intercept it. (The other end of the arc is irrelevant.)

Vertex A is connected to B (1), D (2), F (1), and itself (2). There are a total of 6 arc ends that meet vertex A. Its degree is 6.

Answer:

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645*\frac{600}{\sqrt{100}} = 98.7[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons

The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

To seed the entire lawn, you will need 11.4 packages of grass seed.

To determine the number of packages of grass seed needed, we need to find the area of the lawn. The area of a rectangle is given by the formula length * width. In this case, the length is 400 feet and the width is 285 feet. Multiplying these values together, we get an area of 114,000 square feet. Now, we can determine the number of packages needed by dividing the area of the lawn by the area covered by one package of seed. Since one package covers 10,000 square feet, we divide 114,000 by 10,000 to get 11.4 packages.

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A total of 12 packages needed.

To determine how many packages of grass seed are needed to seed a lawn of 400 feet by 285 feet, follow these steps:

Calculate the lawn's total area by multiplying its length by its width: 400 feet * 285 feet = 114,000 square feet.

Since one 50-pound package of grass seed is enough for 10,000 square feet, divide the lawn's total area by 10,000 square feet to find the number of packages needed: 114,000 square feet / 10,000 square feet per package = 11.4 packages.

Because you can't purchase a fraction of a package, you'll need to round up to the nearest whole number, which means you require 12 packages of grass seed to cover the entire lawn.

It's also important to consider the seeding rate when determining the amount of seed required. However, in this case, the seeding rate is not needed since the question specifies one package covers a set amount of square footage.

Answer:

D is the answer

Step-by-step explanation:

If every year the value decreases by $1,500 that variable will change, but the price he bought the car at will not. That is why the x variable(standing for years) would go into the 1,500. And if each year the value decreases the answer would be D

Answer:  D. y=18,000 - 1,500x

Step-by-step explanation: the answer is d.) because the cars value will go down as time pas, so 1,500 represent the money and x could represent one year and you subtract it from 18,000 which is the original  value of the car.

Answer:

it will take 1095 seconds to wash 18 dishes using a pipelined approach

Step-by-step explanation:

Let represent the identity of those three people with :

A

B

C

Now; let the function assigned to those  the people be:

A = Rinse

B =Scrub with soap

C = Dry

For the first dish pipeline

A(RInse) = 15 seconds

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

The total time taken to complete one dish to wash = (15 +30+  15+15)seconds = 75 seconds

However ; A cannot take the second dish for rinse until the first dish has not been rinse for the second time by A,   A can only start rinse from the second dish when the first dish is at C for dry

SO; for the second dish:

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

Similiarly ; for the third dish

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

B (Scrub with soap) = 30 seconds

A(RInse) = 15 seconds

C(Dry) = 15 seconds

Therefore, the total time taken to was 18 dishes = time to wash the first dish + time remaining for 17 dishes

= 75 +(30+15+15)×17

= 1095 seconds

Hence, it will take 1095 seconds to wash 18 dishes using a pipelined approach

To wash 18 dishes using a pipelined approach, you can assign each friend a different task and work on multiple dishes simultaneously. The total time taken would be 75 seconds.

In order to wash 18 dishes using a pipelined approach, you can assign each friend a different task and work on multiple dishes simultaneously. Here is the step-by-step process:

The total time taken to wash the dishes using this pipelined approach can be calculated as follows:

Total time = (15 seconds) + (30 seconds) + (15 seconds) + (15 seconds)

Total time = 75 seconds

Since the pipelined approach allows you to work on multiple dishes simultaneously, the time taken to wash 18 dishes would be the same as washing a single dish, which is 75 seconds.

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Answer:

Check the explanation

Step-by-step explanation:

Social Median  GDP (PPP), Y      X^2           Y^2            XY

usage (%), X

18085                       66         327067225 4356 1193610

15833                       56         250683889 3136 886648

6117                          47           37417689 2209 287499

6559                        42           43020481        1764 275478

9948                        40           98962704       1600 397920

15264                         41          232989696     1681 625824

17522                        50          307020484     2500 876100

4661                          34            21724921        1156 158474

9833                         54            96687889    2916 530982

5186                         22           26894596     484         114092

18579                         69            345179241    4761 1281951

19105                         67           365001025   4489 1280035

13580                         59            184416400   3481 801220

12115                           49            146773225   2401 593635

15614                          44            243796996   1936 687016

5289                           45            27973521   2025 238005

7508                           29            56370064    841 217732

11521                            43            132733441    1849 495403

2824                           32            7974976     1024 90368

3542                           27            12545764      729 95634

1855                           36            3441025        1296 66780

2056                           35            4227136        1225 71960

3142                              7            9872164           49 21994

1473                              13           2169729          169 19149

Total 227211 1007         2984944281  48077 11307509

Sample size: n=24

Now,

Syy= 5824.95833

833909342.6

ry 1774114.125 ry

The coefficient of correlation is :

0.805

The coefficient of correlation indicates a strong and positive correlation between the variables.

(b)

For hypotheses correct option is (a).

The test statistics is

= 6.36

Degree of freedom: df=n-2= 22

The p-value is: 0.000

The critical value of t is to/2 = 2.07

Since p-value is less than 0.05 so we reject the null hypothesis. There is significant evidence ....

Answer:

The fraction that named point b is one-quarter

Step-by-step explanation:

Given

Nunber line divided into 8 parts (see attachment)

Required

Name the fraction

Your question is incomplete. However, I'll make use of my attachment to answer the question.

If you follow the steps I'll highlight, you'll arrive at your answer.

To name a fraction using a number line, first you need to count the total number of partitions on the number line.

In this case, it is 8.

Then we count the number of partitions or points from the index point till the point that needs to be named.

Between index 0 and point b, there are 2 points.

The next step is to represent this using a fraction.

The fraction is 2/8

I.e 2 points out of a total of 8 points

Fraction = 2/8 (Simplify fraction)

Fraction = ¼

The fraction can no longer be simplified;

The next step is to name it.

¼ in words in 0ne quarter.

Hence, the fraction that named point b on the number line is one-quarter

Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

Step-by-step explanation:

Information provided

n=100 represent the random sample ofcollege senior selected

X=53 represent the college seniors who say good

[tex]\hat p=\frac{53}{100}=0.53[/tex] estimated proportion of seniors who think their job prospects are good

[tex]p_o=0.5[/tex] is the value that we want to test

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:  

Null hypothesis:[tex]p\leq 0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we have:

[tex]z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6[/tex]  

The p value for this case would be given by

[tex]p_v =P(z>0.6)=0.274[/tex]  

Given that $1.50 is the cost of one kilogram of rice and that one kilogram equals about 2.20462 pounds, the cost of one pound of rice will be about $0.68.

To convert the costs from kilogram to pound, you need to know that one kilogram equals about 2.20462 pounds. Hence, if rice costs $1.50 per kilogram, we can calculate the cost per pound by dividing $1.50 by 2.20462.

This results in a cost of approximately $0.68 per pound of rice.

So, if you're looking to purchase a pound of rice under this cost scheme, it would set you back about $0.68.

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Answer: Brother = 31, sister = 26

Step-by-step explanation:

first, take 57, and minus the difference of the ages (5) = 52. divide that between both of them, getting 26, and 26. Since the brother is 5 years older, add 5 to one of the 26's and you get 26, and 31.

Check if its correct: 26+31=57

We can make formulas for this.

Assume x=male age and y=female age.

From this problem, we know that x+y=57 and x-5=y since the brother is older. We can do substitution and plug in the second formula into the first.

x+(x-5)=57

2x-5=57     Add like terms (x)

2x=62         Isolate

x=31

Then plug this into the original to find out y.

x+y=57

31+y=57

y=26

Answer:

9.68%

Step-by-step explanation:

Answer:

Approximate intercept is  4,515.33  

Step-by-step explanation:

The intercept of the GPA grades and the first job salary can be determined by using the intercept function in excel spreadsheet.

In order to ascertain the intercept,we apply the intercept formula:

=intercept(known values of y,known values of x)

known values of y are the dependent variables.The first annual salary in this scenario is dependent upon the GPA of the graduate in question

Known values of x are the independent variables upon which the dependent ones rely for their values i.e the GPA itself

As found in the attached,the intercept is  4,515.33  

Answer:

Check the explanation

Step-by-step explanation:

here are 6 possible sequences of removing 3 marbles. Let R be the red marble, B be the blue marble and G be the green marble. The possible sequences are: RBG, RGB, BGR, BRG, GRB and GBR.

Let A denotes Event 1 and B denotes Event 2.

The favorable cases for A are: BGR, BRG, GRB and GBR.

So, P(A) = 4/6 = 2/3.

The favorable cases for B are: RBG, RGB, BRG and GRB.

So, P(B) = 4/6 = 2/3.

The probability of both events happening is P(A \cap B).

Favorable cases for (A \cap B) are BRG and GRB.

Thus, P(A \cap B) = 2/6 = 1/3.

The probability of either of these events happening is P(A \cup B).

Favorable cases for (A \cup B) are RBG, RGB, BRG, BGR, GRB and GBR.

Thus, P(A \cup B) = 6/6 = 1.

Also, P(A \cap B) \neq P(A) P(B).

So, A and B are not independent.

Hence, Option (D) is the only true statement. (Ans).

We have been given that the perimeter of a semicircle is 25.71 cm. We are asked to find the value of the radius.

We know that perimeter of a semicircle is [tex]\pi r+2r[/tex], where r is radius of perimeter.

Upon equating perimeter of semicircle formula with 25.71, we will get:

[tex]\pi r+2r=25.71[/tex]

[tex]3.142r+2r=25.71[/tex]

[tex]5.142r=25.71[/tex]

[tex]\frac{5.142r}{5.142}=\frac{25.71}{5.142}[/tex]

[tex]r=5[/tex]

Therefore, the radius of the semicircle is 5 cm.

Answer:

foster can make 42 1/4-pound turkey sandwiches!!!

explanation: 10.5 divided by 1/4 is 42

Answer:

convert pounds to ounces. theres 16 oz. in a pound.

16x10lb=160 oz + 8 additional ounces = 168 oz of meat. theres 4 oz in 1/4 lb so 168 ÷ 4 = 42 sandwiches

Step-by-step explanation:

Given expression is [tex]8b -2b -4[/tex]

To simplify any expression we combine like terms

Any expression contains constant and variables.

the terms that contains variables are 8b  and -2b .the constant term is -4

To simplify combine the like terms 8b and -2b

[tex]8b-2b= 6b[/tex]

[tex]8b -2b -4[/tex]

[tex]6b -4[/tex]

So the simplified expression is  [tex]6b -4[/tex]

Answer:

THE ANSWER IS 4n - 13