Weights of adult males.The weights of adult individuals in a certain country are normally distributed with a population mean of μ=172 pounds and a population standard deviation of σ=29 pounds. Suppose n=36 individuals are sampled.
1)
What is the mean of the sampling distribution of the means?

Answers

Answer 1

Answer:

The sampling distribution of the means has a mean of 172 pounds and a standard deviation of 4.83 pounds.

In the context of sampling distribution of the means, the standard deviation represents the degree of spread or variation of sample means around the true population mean.

To compute the standard deviation of the sampling distribution of the means, one typically divides the population standard deviation by the square root of the sample size.

Therefore, the standard deviation of the sampling distribution of the means is 29/√36 = 29/6 = 4.83 pounds.

So, the sampling distribution of the means has a mean of 172 pounds and a standard deviation of 4.83 pounds.

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Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it take for the account to reach $8500? Round your answer to the nearest hundredth.

Answers

Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years

What is the factored form of x^2 - 49?

Answers

X+7, square root the 49 and x^2 making it x+7, then for a check write your equation 0= x+7, x =-7

Describe how to find the area of the patio

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You must use the information you're given, together with everything you know about the area of various shapes, to translate the known into the solution for the unknown. Since you gave us none of the former, and we remain dubious concerning the scope and extent of the latter, there's no more that can be said.

HELP PLEASE ASAP!!!!! BRAINLIEST+20 POINTS!!!!!!!Which statements are true about parabolas represented by the equation
y=ax²+bx+c?
Select four that apply.
If a>0, then the parabola opens up.
If a>0, then the parabola has a minimum.
If a<0, then the parabola opens down.
If a>0, then the parabola has a maximum.

Answers

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Martha Owens is paid $14.50per hour for a regular forty-hour work
week. Her overtime pay is one-and-one-
half times her regular hourly rate. This
past week Martha earned S754.00 in total
рау. .
How many hours of overtime did
Martha work this pas week?

Answers

Martha worked approximately 8 hours of overtime during the past week.

Martha's regular hourly rate is $14.50, and she works a regular forty-hour work week. Her overtime pay is one-and-one-half times her regular hourly rate.

Let's break down Martha's earnings for the week:

Regular Earnings (for 40 hours): Regular Hourly Rate × Hours Worked

Regular Earnings = $14.50 × 40 = $580

Total Earnings (including overtime): $754

Overtime Earnings = Total Earnings - Regular Earnings

Overtime Earnings = $754 - $580 = $174

Since Martha's overtime pay is one-and-one-half times her regular hourly rate, we can set up an equation:

Overtime Earnings = Overtime Hourly Rate × Hours of Overtime Worked

Solving for Hours of Overtime Worked:

Hours of Overtime Worked = Overtime Earnings / Overtime Hourly Rate

Overtime Hourly Rate = 1.5 × Regular Hourly Rate

Overtime Hourly Rate = 1.5 × $14.50 = $21.75

Now, plug in the values:

Hours of Overtime Worked = $174 / $21.75 ≈ 8

Martha worked approximately 8 hours of overtime during the past week.

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Answer:

Step-by-step explanation:

14.50*40=580 for reg pay

754-580=174 over time

14.50*1.5=21.75 an hour for ot

174/21.75=8 hours of overtime

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5

3
=
10

q
start fraction, 3, divided by, 5, end fraction, equals, start fraction, q, divided by, 10, end fraction
q =q=q, equals