I’am between 750 and 850. I have 3 ones and no tens.

A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es

Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

$\sigma = 3.10\text{ milligrams}$

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

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

Putting values, we get,

$0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65$

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0

3 years ago

Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does E

miskamm [114]

Linear equation are the equation which has the power of the unknown variable is 1. The Emily have total 2 number of dimes coin and total 6 number of nickels coin.

<h3>Given information-</h3>

Emily has 8 coins in her purse totaling 50 cents

The only kinds of coins she has are nickels and dimes.

<h3>Nickel</h3>

A nickel is a coin which has the value equal to the 5 cents.

<h3>Dimes</h3>

A dimes is a coin which has the value equal to the 10 cents.

Suppose the number of nickel coin is <em>x </em>and the number of dimes coin is <em>y.</em>

As total coins are 8 . Thus,

$x+y=8$

$x=8-y$ ......equation 1

As the total value of the cents is 50 and nickel is equal to the 5 cents whereas the dimes is equal to the 10 cents. Thus,

$5x+10y=50$

Put the value of the <em>x</em> from the equation 1 in the above equation.

$\begin{aligned}5(8-y)+10y &=50\\40-5y+10y &=50\\5y &=50-40\\y&=\dfrac{10}{5} \\y&=2\end$

Thus Emily have total 2 number of dimes coin.

Put this value of y in equation 1 we get,

$x=8-2\\x=6$

Thus Emily have total 6 number of nickels coin.

Hence the Emily have total 2 number of dimes coin and total 6 number of nickels coin.

Learn more about the coin based problems here;

brainly.com/question/10482015

5 0

2 years ago

Read 2 more answers

Solve for t in the expression 16/t when t = 4. <br><br> please help!!

Ronch [10]

Answer:

x=16/t

t=4 so

16/4 = 4

4 is your answer.

3 0

3 years ago

To round the number to the hundredths place, what should be done first?

Oksanka [162]

Answer:

b

Step-by-step explanation:

5 0

3 years ago

Given triangle ABC with sides AB = 3x + 4 , BC = 2x + 5 , and AC = 4x , determine the values of x such that triangle ABC exists

Jlenok [28]

Answer:

x > 1/5

Step-by-step explanation:

All of these three triangle inequalities must be satisfied:

AB +BC > AC

BC +CA > BA

CA +AB > CB

___

Taking these one at a time, we have ...

AB +BC > AC

3x +4 + 2x +5 > 4x

x +9 > 0 . . . . . subtract 4x

x > -9

__

BC +CA > BA

2x +5 + 4x > 3x +4

3x > -1 . . . . . . subtract 3x+5

x > -1/3 . . . . . divide by 3

__

CA + AB > CB

4x + 3x +4 > 2x +5

5x > 1 . . . . . . subtract 2x+4

x > 1/5

___

The only values of x that satisfy all of these inequalities are those such that ...

x > 1/5

8 0

3 years ago