F(x)=(x^3-3)÷(x^5) determine if odd or even

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

2 years ago

Ava has a dozen apples of the same size and a dozen watermelons of the same size. Ava uses her juicer to extract 14 ounces of wa

ExtremeBDS [4]

Answer:

85.9%

Step-by-step explanation:

We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

11.9/84 = 0.141

I am doing this way because I could not get 84/11.9 into a percent without it going over 100%. Next step is to multiply by 100.

0.141 x 100 = 14.1%

Next, subtract 100% from 14.1%.

100% - 14.1% = 85.9%

Therefore, the answer is 85.9%. I hope this helps.

I rethought this, so if it is asking for a percentage greater than 100, then here is my original answer (which did not make sense to me so i took a different route):

"We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

84/11.9 = 7.05

Multiply by 100:

7.05 x 100 = 705

Therefore, the answer is 705%. I have never seen a percentage over 100, but I hope this helps. "

3 0

2 years ago

Which is a perfect square?

yaroslaw [1]

The answer is 20 because all 4 sides would equal 5

5 0

2 years ago

Read 2 more answers

The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavi

dlinn [17]

Answer:

The weight of container C is 2.1kg.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the weight of container A.

y is the weight of container B.

z is the weight of container C.

The average weight of 3 containers A,B and C is 3.2kg.

This means that the total weight is 3*3.2 = 9.6kg. So

$x + y + z = 9.6$

Container A is twice as heavy as container B.

This means that $x = 2y$ .

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that $y = z + 0.4$ , or $z = y - 0.4$

Replacing y and z as functions of x in the first equation:

$x + y + z = 9.6$

$2y + y + y - 0.4 = 9.6$

$4y = 10$

$y = \frac{10}{4} = 2.5$

Container C

$z = y - 0.4 = 2.5 - 0.4 = 2.1$

The weight of container C is 2.1kg.

4 0

2 years ago

Drag each equation to show if it could be a correct first step to solving the equation 3(x+8)=42.

jeyben [28]

Answer:

3*x + 3*8 = 42 simplified as 3x + 24 = 42

Step-by-step explanation:

The correct first step in solving the equation is to apply the distributive property. Order of operations states to perform operations in this order, PEMDAS, left to right. Some operations can be applied at the same time left to right through the equation such as multiplication and division as well as addition and subtraction. Since 3 is being multiplied into parenthesis, this needs to be applied first using the distributive property.

3(x+8)=42

3*x + 3*8 = 42

3x + 24 = 42

You can continue to solve using inverse operations.

3x = 18

x = 6

8 0

3 years ago