A soccer field is 50 yards wide and 60 yards long. If a person walks across the field along the diagonal instead of walking the length and width of the field, how much shorter is the distance? Round to the nearest thousandth.

Answer:

11

Step-by-step explanation:

4x -y

substitute numbers for variables

4(3) - 1 -- multiply first

12-1   subtract

11

Option C is correct. The values of the expression 4x − y when x = 3 and y = 1 will be 11.

They are mathematical formulas containing variables raised by non-negative integers, coefficient, and constants involving only addition, subtraction, multiplication, and non-negative exponentiation of variables.

The given expression is;

4x − y

Put, x = 3 and y = 1

⇒4x − y

⇒4(3)− 1

⇒11

The values of the expression 4x − y when x = 3 and y = 1 will be 11.

Hence, option C is correct.

To learn more about polynomials, refer:

https://brainly.com/question/27343162

Answer:

C. The events are independent of one another

Step-by-step explanation:

If the probability remains the same whether or not hardcover or paperback is bought, then the probability is not reliant on this variable, and is independent.

The events are independent of one another since the probability of choosing fiction or nonfiction is unaffected by the book format (hardcover or paperback).

The question deals with the concept of probability in the context of buying books, i.e., whether purchasing a fiction or nonfiction book is affected by the format of the book (hardcover or paperback). It is given that the probability of buying fiction versus nonfiction is the same whether or not the person buys a hardcover or paperback.

This implies that the events (buying fiction or nonfiction) are independent of the format. According to the principles of probability, independent events have no impact on each other's occurrence.

The formula for independent events states that P(A AND B) = P(A)P(B), and P(B|A) = P(B).

Answer:

13 by using pythagorean theorem

Step-by-step explanation:

Final answer:

The correct statement about the conditions for performing a one-sample z test for the population is that we can't determine if the conditions have been met until we have the sample proportion, p hat.

Explanation:

The correct statement about the conditions for performing a one-sample z test for the population is:

a. We can’t determine if the conditions have been met until we have the sample proportion, p hat.

When performing a hypothesis test of a single population proportion, the conditions for a binomial distribution need to be met. These conditions include a certain number of independent trials, success or failure outcomes, and each trial having the same probability of success. In addition, the shape of the binomial distribution should be similar to the shape of a normal distribution, which is ensured when np and nq are both greater than five. Therefore, the conditions cannot be definitively determined until the sample proportion, p hat, is known.

The Large Counts condition is met (np >= 10, n(1-p) >= 10), allowing the z-test. Other conditions are satisfied, validating the test.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

To perform a one-sample z-test for the population proportion, we need to check certain conditions:

1. **Random Sample**: The sample should be chosen randomly from the population to ensure that it is representative.

2. **Normality of Population**: There are two criteria for this condition:

  - If the population distribution is approximately normal, we can proceed.

  - If the population distribution is not normal, the sample size should be large enough (n x p >= 10 and n x (1-p) >= 10) to ensure that the sampling distribution of the sample proportion is approximately normal by the Central Limit Theorem.

3. **Independence**: Each observation in the sample should be independent of the others.

Given:

- Sample size (n) = 30

- Population proportion (p) = 0.04

We need to check if these conditions are met.

a. **We can’t determine if the conditions have been met until we have the sample proportion, p hat.**

  - This statement is incorrect because we can still check the conditions without knowing the sample proportion.

b. **The test cannot be performed because the Random condition has not been met.**

  - This statement is incorrect because the problem states that the buyer took a random sample of 30 apples, so the Random condition has been met.

c. **All conditions for performing the test have been met.**

  - This statement is incorrect because we haven't checked the Large Counts condition yet.

d. **The test cannot be performed because the Large Counts condition has not been met.**

  - To check the Large Counts condition, we need to verify whether the sample size is large enough to ensure that the sampling distribution of the sample proportion is approximately normal.

  - The Large Counts condition is met if both np >= 10 and n(1-p) >= 10.

  - Here, n = 30 and p = 0.04

  - np = 30 x 0.04 = 1.2

  - n(1-p) = 30 x (1 - 0.04) = 28.8

  - Both np and n(1-p) are greater than or equal to 10.

  - So, the Large Counts condition is met.

Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**

Answer:

Value of Z is 16.39

Step-by-step explanation:

each line is 0.08 away.

the value of z is 16.39

hope this helped! have a nice day!

Answer:

x = 128

Step-by-step explanation:

x and 128 are vertical angles

Vertical angles are equal

x = 128

Hi your answer is 128

Answer:

27

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

~

first do -7 times -5 because Parentheses means multiplication. After, you would add your answer to -8. Your answer would be 27.

mean is the answer nnnnnnnnn

Answer: choice a, the mean

Step-by-step explanation:

hence it forms a straight line

Answer: you line is a straight line, is a positive line.

Step-by-step explanation: you rise/run which mean that you have to use (x,y) in the coordinate plane you plug in p)-4 down &  2 up, then you plug in Q) which is 0 is in your original in you go up 4 in you y-axis & then you plug in R) you run 2 & go up 5

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

The given statement is a false statement.

We know that the transformation of the type:

f(x) to f(x+k)

is a horizontal shift of the graph.

The graph is shifted k units to the right if k is negative and if k is positive then the graph is shifted k units to the left.

Here we have the graph as:

                [tex]y=6\cos (x)-3[/tex]

and the translated graph is given by:

       [tex]y=6\cos (x-2)-3[/tex]

This means that:

f(x) → f(x-2)

i.e. the graph is shifted horizontally 2 units to the right ( since k=2 is positive )

Answer:

I think both

Step-by-step explanation:

Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!

Answer:

both :) welcome hope it helps

Answer: First option

12 candy bars were sold

Step-by-step explanation:

Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

[tex]x + z = 20[/tex]

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76

So:

[tex]3x + 5z = 76[/tex]

To find the quantity of candy bars sold we must solve the system of equations:

[tex]x + z = 20\\\\3x + 5z = 76[/tex]

Multiply the first equation by -5 and add it to the second equation

[tex]-5x -5z = -100[/tex]

               +

[tex]3x + 5z = 76[/tex]

--------------------------------

[tex]-2x = -24\\\\x = 12[/tex]

Brad sold 12 candy bars.

To find this answer, you could do the following steps.

1. Use the formula $3b + $5c = $76 where "b" is the number of bars and "c" is the number of cookies.

2. Fill in each of the given answers (12, 14, 16, 18) into "b".

3. Subtract the given answers from 20 to get the number of cookies (8, 6, 4, 2).

4. Solve to see if it comes out even.

Below are all the solutions in which you use these steps.

A. $3 * 12 + $5 * 8 = $76

$36 + $40 = $76

$76 = $76

True

B. $3 * 14 + $5 * 6 = $76

$42 + $30 = $76

$72 = $76

False

C. $3 * 16 + $5 * 4 = $76

$48 + $20 = $76

$68 = $76

False

D. $3 * 18 + $5 * 2 = $76

$54 + $10 = $76

$64 = $76

False

Thus making 12 the answer. I hope this helps!

He has a likely outcome of 1/8

Answer:

1/9

Step-by-step explanation:

To find the geometric mean of two numbers,  multiply them together, then take the square root

G.M = sqrt( 1/3 * 1/27)

        = sqrt(1/81)

       = 1/9

Answer:

to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square

Step-by-step explanation:

X-20 because x is the width and the length is x-20

Answer:

Shakia will read 40 pages each day.

Step-by-step explanation:

To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.

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Answer:

The estimate price for all three items is $22.00.

The actual price would be $21.97.

Step-by-step explanation:

To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.

To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.

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Answer:

49 days are equal to 7 weeks.

Step-by-step explanation:

Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.

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Answer:

2/3 of the books were not placed on the first shelf.

Step-by-step explanation:

All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.

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In order to solve the last problem, I need more information.

Answer:

x=28

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

Simplifying

0.25x + 0.1x = 9.8

Combine like terms: 0.25x + 0.1x = 0.35x

0.35x = 9.8

Solving

0.35x = 9.8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '0.35'.

x = 28

Simplifying

x = 28

Answer:

option d

{ 4, 8 , 16 , 32 }

Step-by-step explanation:

Given in the question a function

f(x) = 2x

initial value[tex]x_{0}[/tex]=2

First iteration

f(2) = 2(2)

     = 4

[tex]x_{1}=4[/tex]

Second iteration

f(4) = 2(4)

     = 8

[tex]x_{2)=8[/tex]

Third iteration

f(8) = 2(8)

     = 16

[tex]x_{3)=16[/tex]

fourth iteration

f(8) = 2(16)

     = 32

[tex]x_{4}=32[/tex]

Answer:

[tex]a=56.4\degree[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be an acute angle.

To solve: [tex]\sin(a)=0.8325[/tex], we take the sine inverse of both sides to obtain:

[tex]\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)[/tex]

Recall  composition property of a function and its inverse function.

[tex]f^{-1}(f(x))=x[/tex]

We apply this property to the left hand side to obtain;

[tex]a=\sin^{-1}(0.8325)[/tex]

We now use our scientific calculator to obtain;

[tex]a=56.3564115\degree[/tex]

We round to the nearest tenth to obtain;

[tex]a=56.4\degree[/tex]

Answer:

Brown.

Step-by-step explanation:

Theoretical probability for each:

 625

   5

= 125

122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.

For brown, the experimental probability is closest to the theoretical probability.

We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:

P = 1/5 = 0.20

We need to see for which color the experimental probability is closest to 0.20.

The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:

As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer: 220000 grams for male

Step-by-step explanation:

The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.

You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.

Omar sells 9 muffins. I hope this helps!

Answer:

see below

Step-by-step explanation:

In clock arithmetics, your answer has to be in the range 0-N where N is the number of hours in your given clock.

If the initial answer < 0, you add N until you get >=0

If the initial answer >= N, subtract N until you get < N.

a) 8 - 11 (12 clock ) = -3, then -3 + 12 = 9

(a) 9 + 10 (18-clock)  = 19, then 19 - 18 = 1

B) 4 Divide 9 ( 12 clock ) , 4/9

(B) 2 Divide 5 (13-clock)  , 2/5

C) 7 - 6 ( 12 clock ) = 1, fine.

(C) 1 - 5 ( 37 - clock )  = -4, then -4 + 37 = 33

D) 8 Divide 5 ( 12 clock )  = 8/5, fine

( D ) 3 * 9 ( 18 clock ) =27, then 27 - 18 = 9

Answer:

[tex]3b(2n-5)(5n-2)[/tex]

Step-by-step explanation:

First we can factor out a 3b from each of the terms.

[tex]30n^2b-87nb+30b \\ \\ 3b(10n^2-29n+10)[/tex]

Then, we can factor this out.

[tex]3b(10n^2-29n+10) \\ \\ 3b(2n-5)(5n-2)[/tex]

And you'll get your answer!

Answer:

3b(2n-5)(5n-2)

Step-by-step explanation:

to solve 30n²b - 87nb +30b, we would need to factor out a common term among them

the entire expression has the number 3 in common, as they are all factors of 3. each term has the letter b included as well, so we can factor out 3b from the expression

3b(10n² - 29n + 10)

now we can factor the expression 10n² - 29n + 10. there are many ways we can factor this. i am choosing to factor by grouping, which means breaking down the expression into 4 terms and factoring each term.

to break this down, we can write -29n as a difference. the expression looks as follows:

3b(10n² - 4n - 25n + 10)

now we seperate the new expression into 2 groups with 10n² - 4n being their own group, and -25n + 10 being another

we will now factor 10n² - 4n. both have 2n in common, so we will factor that out:

2n(5n - 2)

next is -25n + 10, both have 5 in common, but we want the factorization of -25n + 10 to be equal to 5n - 2. to do this, we would factor out a -5 to get a -2 out of 10

-5(5n - 2)

the expression looks like the following:

3b(2n(5n-2) -5 (5n-2)) < we can drop a 5n - 2 since there are 2 of them and combine 2n - 5 as another factor of the expression. the fully simplified expression looks like the following:

3b(2n-5)(5n-2) is our answer

Answer:

45 - 5 v

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

5 × 9 = 45

5 × - v = - 5 v

45 - 5 v

Answer:

This is what you would do!

One, you start off by multiplying 5 into the parentheses (9 and v)

Next, it will look like this,

5(9)-5(v)

Then multiply your equation

5x9=45

5xv=5v

And this is what it would look like

45-5v

(Sometimes this would just stay like this, put if your teacher wants the unknown number to be by itself, this is what you would do next)

Divide 5 to both problems

45/5  5v/5

9=v

(That last part is if you need it but hopes it helps :))

Step-by-step explanation:

Answer:

648

Step-by-step explanation: You have to do 792 divided by 11 wich = 72 then do 72 x 9 and it = 648.

Answer:

Step-by-step explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

[tex]M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}[/tex]

Plug the known coordinates of the midpoint:

[tex]-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}[/tex]

Solve for x and y:

[tex]-4 = 2+x,\quad 12 = 3+y[/tex]

[tex]x=-6,\quad y = 9[/tex]

Answer:

c:188.1 gal

Step-by-step explanation:

Baisically, you have to start by finding the volume of the pool. You multiply length*width*height(deepness).

3.8*5.5*1.2=25.08 ft^3

To convert from ft to gallons, we have to multiply by 7.5

25.08*7.5=188.1 gal