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Over [174]
2 years ago
5

HELP I NEED HELP ASAP

Mathematics
1 answer:
Irina18 [472]2 years ago
5 0

Answer:

Step-by-step explanation:

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A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are
Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0
2 years ago
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side
gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is V=\dfrac{3}{4}\ yd^3

Length of the cubic block is a=\dfrac{1}{2}\ yd

Volume of each cubic block is

\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3

Suppose, n blocks are required to measure the volume of Prism

\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}

Thus, 6 blocks are required to measure the volume of prism.

7 0
3 years ago
9000 dollars is placed in an account with an annual interest rate of 7.75%. How much will be in the account after 18 years, to t
NNADVOKAT [17]

In one year, $ 9,000 with a profit of 7.75%, is $ 697.5

697.5 × 18 = 12555

After 18 years old, it is $ 15,222

7 0
3 years ago
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In the equation y = 2π^x, 2 is the ______ and π is the ______.
olga2289 [7]

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

8 0
3 years ago
Onyango slept at 2040 h on Thursday and woke up after 5 h 20 minutes. At what time did he wake up? A. 2.00 p.m. B. 2.40 a.m. C.
Leni [432]

Answer:

Your answer is C.

Step-by-step explanation:

4 0
2 years ago
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