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3 years ago

Select ALL the correct answers,

Mathematics

1 answer:

Vaselesa [24]3 years ago

8 0

<h2>Answer :</h2>

Option (2) and Option (3) is the correct answer .

Required Explaination :

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

The graph of this scenario is a downward parabola. Therefore option 2 is correct.

Scenario 3 : The sale of product increases at first and then decreases.

The graph of this scenario is a downward parabola. Therefore option 3 is correct.

Therefore, the correct options are 2 and 3.

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Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the pop

Andreyy89

Answer:

The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

Step-by-step explanation:

The complete question is:

The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.

Solution:

The (1 - α)% confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

The critical value of z for 90% confidence level is:

z = 1.645

Compute the required sample size as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48$

Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

3 0

3 years ago

Giving Brainliest which statement is true about points in quadrentIII in the coordinate plane

Aleks [24]

Answer:

Step-by-step explanation:

Quadrant 1 is positive positive, Quadrant 2 is negative positive, and quadrant 3 is negative negative. Quadrant 4 is positive negative.

8 0

3 years ago

Question 10

antoniya [11.8K]

Answer:

$11,500 was invested at 13%.

$17,500 was invested at 4%

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$