Use the following data to determine the total dollar amount of assets to be clarified as investments

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90

snow_lady [41]

ok ok ok bro i understand i love you

8 0

4 years ago

Read 2 more answers

To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government dat

denis-greek [22]

Answer:

a) The standard deviation of x must be 0.25 inches.

b) We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

Step-by-step explanation:

The 68-95-99.7 states that:

68% percent of the measures of a normally distributed sample are within 1 standard deviation of the mean.

95% percent of the measures of a normally distributed sample are within 2 standard deviations of the mean.

99.7% percent of the measures of a normally distributed sample are within 3 standard deviations of the mean.

The standard deviation of the population is 2.8. This means that $\sigma = 2.8$ .

(a) What standard deviation must x⎯⎯⎯ have so that 95% of all samples give an x⎯⎯⎯ within one-half inch of μ?

We want to have a sample in which 2 standard deviations are within 0.5 inches of the mean.

So, the standard deviation of the sample must be:

$2s = 0.5$

$s = 0.25$

The standard deviation of x must be 0.25 inches.

(b) How large an SRS do you need to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a)?

We have that the standard deviation of a sample of length n is given by the following formula:

$s = \frac{\sigma}{\sqrt{n}}$ .

We want $s = 0.25$ and we have $\sigma = 2.8$ . So

$0.25 = \frac{2.8}{\sqrt{n}}$

$0.25\sqrt{n} = 2.8$

$\sqrt{n} = 11.2$

$\sqrt{n}^{2} = (11.2)^{2}$

$n = 125.44$

We need a sample of 125 to reduce the standard deviation of x⎯⎯⎯ to the value you found in part(a).

8 0

4 years ago

Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of ch

Sati [7]

Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

$3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}$

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

$\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}$

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0

2 years ago

How do you use percents to solve problems?

nataly862011 [7]

Covert the problem into and equation using formulas

8 0

3 years ago

Find the slope of the line that passes through the pair of points.<br> N (-1, -7)<br> M (-4, 1)

umka21 [38]

-3/-8 is the correct answer

8 0

3 years ago