Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not

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:I believe the answer is $0.24

Step-by-step explanation:

Answer:

0.22.

Step-by-step explanation:

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:

He has a likely outcome of 1/8

Omar sells 9 muffins. I hope this helps!

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.

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

seventy-five thousand and fifty-four.

Answer:

seventy five thousand and fifty four

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:

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

mean is the answer nnnnnnnnn

Answer: choice a, the mean

Step-by-step explanation:

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: 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.

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:

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:

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

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

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!

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

2/3 and 8/12, because when you divide both 8 and 12 by 4 you get 2/3, which makes it proportional to 2/3

Answer:

2/3 and 8/12

Step-by-step explanation:

Answer is square root of 65

Explanation:

Use the pathagreom theoream: a’2+ b’2= c’2 (C= hypotenus and a + b is legs)

Substitute:

7^2 + 4^2 = c^2

65= c^2

Square root both sides and you get … c= square root of 65

The hypotenuse of the triangle is AB = √65 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of AC = 7 feet

The measure of side BC = 4 feet

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AB² = AC² + BC²

On simplifying , we get

AB² = 7² + 4²

AB² = 49 + 16

Taking square roots on both sides , we get

AB = √65 feet

Hence , the hypotenuse of the triangle is AB = √65 feet

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

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:

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:

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:

197.2+10.5x

Step-by-step explanation:

Combine regular numbers and combine x

208-10.8+8.3x+2.4x

197.2 + 10.5x

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:

Answer:

13 by using pythagorean theorem

Step-by-step explanation:

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.  

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches,  let's simplify that as 1000  π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{72 \pi } = 13.88[/tex]

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{200 \pi } = 5[/tex]

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

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]

The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.

Hope this helps!

Sometimes is correct!

have a lovely day and don't forget to take care of yourself! ^-^