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chubhunter [2.5K]
3 years ago
14

The American Statistician, (Vol. 53,No. 4, pp. 298–302) has an article on birth weights of babies. According to the article, the

mean birth weight is 3369 grams (7 pounds, 6.5 ounces) with a standard deviation of 581 grams. (a). For samples of size 200, find the mean and standard deviation of all possible sample mean weights.(b). Repeat part (a) for samples of size 400. (c). If Ῡ is the mean of one of the n = 200 babies, find the probability that the mean weight is less than 2500 grams (5 pounds 8 ounces, a low birth weight). (d). If Ῡ is the mean of one of the n = 400 babies, find the probability that the mean weight is less than 1500 grams (3 pounds 5 ounces, a very low birth weight).
Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

ummm idk

Step-by-step explanation:

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Mashcka [7]

well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160

well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.

what if she had left her money for 1 whole year, then

~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240

so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?

\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}

4 0
2 years ago
Which of the following is a non-prime factor of 70? Select one: A. 5 B. 7 C. 10 D. 15
Umnica [9.8K]

Answer:

C. 10

Step-by-step explanation:

by deduction, 5 and 7 are prime numbers and 15 is not a multiple of 70, therefore the answer must be 10 as it is a non-prime number and is a factor of 70 (I.e. 10 and 7)

5 0
3 years ago
Read 2 more answers
The total cost of owning a home for 6 years is $120,000. The
Agata [3.3K]

After 6 years, the difference between owning the house and renting is $12,000.

<h3>What is the difference in owing and renting the house?</h3>

The first step is to determine the total cost of renting the house for six years.

Total cost of renting the house = rent per month x number of years x number of months in a year

1500 x 12 x 6 = $108,000

Difference = cost of owning - cost of renting

$120,000 - $108,000  = $12,000

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6 0
2 years ago
What is the domain of a graph
Vika [28.1K]

Answer:

refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

7 0
3 years ago
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
nasty-shy [4]

This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.

Please find attached the appropriate diagram to solve for this question

Complete Question :

The surface area of a given cone is 1,885.7143 square inches. What is the slant height?

Answer:

25 inches

Step-by-step explanation:

In the diagram, we are given the following information

Height of the cone = 20 inches

Radius of the cone = 15 inches.

The formula for the slant height of a cone represented by l =

l² = r² + h²

l = √(r² + h²)

l = √(15² + 20²)

l = √(225 + 400)

l = √625

l = 25 inches

Therefore, the slant height of this cone = 25 inches

3 0
3 years ago
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