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zysi [14]
3 years ago
7

The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta

ndard deviation of 900 dollars. Suppose that we take a random sample of 10 Florida State students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is
Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

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Show your work please.
Kruka [31]

Answer:

Tauren has 78 keychains

James has 34 keychains

Marcus has 68 keychains

Yahya has 74 keychains

Step-by-step explanation:

I got this answer by doing this:

If Tauren has 78 keychains then its gonna be left like that.

If everybody else has an average of 68 keychains then divide 68 by 2 to get half of what marcus has which equals 34.

Then add the amount of James and marcus keychains which is 68 plus 34 which equals 102, the subtract the 28 because it says Yayha has 28 fewer keychains and that equals 74.

3 0
3 years ago
2- suppose a ball is thrown upward to a height of h0 meters . each time the ball bounces, it rebounds to a fraction r of its pre
Aleks [24]

Answer:

a) 40, 50, 55, 57.5

b) S_n=h_0+2h_0\sum_{n=1}^{\infty}r^n

Step-by-step explanation:

h₀ = Initial height of the ball =20

r = Rebound fraction = 0.5

a) The series of bouncing balls is given by

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

S₁=h₀+2h₀r¹=20+2×20×0.5=40

S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50

S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55

S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5

b) General expression for the nth term of the sequence

S_n=h_0+2h_0\sum_{n=1}^{\infty}r^n

7 0
3 years ago
#13. A lighthouse casts a 128-foot shadow. A nearby lamppost that measures 5 feet 3
Ad libitum [116K]

Answer:84

Step-by-step explanation:Using proportions, it is found that the height of the lighthouse is of 84 ft.

This question is solved by proportions, using a rule of three.

For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?

The rule of three is:

5.25 feet - 8 feet

x feet - 128 feet

Applying cross multiplication:

The height of the lighthouse is of 84 ft.

credit:joaobezerra

please rate and thanks

7 0
2 years ago
Three years ago, Andy invested $5,000 in an account that earns 5% interest compounded annually. The equation y = 5000{\left( {1.
Inessa05 [86]
You have not provided sufficient information. 

But here is a tool.

http://www.moneychimp.com/calculator/compound_interest_calculator.htm
6 0
3 years ago
Name a point on <-----> BC
Rudik [331]
Well, ya got point B and ya got point C. For an added bonus (though I know it's not technically on the line) ya got point D.
7 0
3 years ago
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