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yuradex [85]
3 years ago
14

Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple

random sample of 36 students is taken. a) What is the expected value, standard deviation, and shape of the sampling distribution of the sample mean
Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer and Step-by-step explanation:

According to the situation the solution is shown below:-

The expected value is

\mu = 5

The standard deviation is

= $3

The sample distribution of the sample standard deviation is

\sigma_x = \frac{\sigma}{\sqrt{n} } \\\\ = \frac{3}{\sqrt{36} } \\\\ = \frac{3}{6}

After solving the above equation  we will get

= 0.5

Basically we applied the applied formula so that each part could be determined

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Find one value of x that is a solution to the equation:<br>(x^2– 8)^2 + x^2 – 8 = 20<br>x=​
Kipish [7]

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

8 0
3 years ago
Can someone help me with this math question and can you explain it to? If so that would be great :)
Rainbow [258]

Answer:

251.33, the reason is because the formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Step-by-step explanation:

hope that makes sense

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Taking a final exam rn and im stuck on this question, pls help ;-;
Effectus [21]
False true true.....
5 0
3 years ago
Read 2 more answers
Help is needed asap​
Wewaii [24]

Answer:

3.8

Step-by-step explanation:

3(-7.9)-5(-5.5)

3.8

Hope this helps!

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3 years ago
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Cheryl has 56$ and wants to buy as many notebooks as she can to donate to her school. If each notebook cost $1.60, which inequal
Len [333]
1.60n<56  
it should be greater than or equal to because if n is the amount of notebooks she can buy than n times 1.60 needs to be less or equal to $56
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