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Katyanochek1 [597]
3 years ago
9

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of

$12.00. Alyssa thinks that her school is more fashion conscious and spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. Which of the following is the correct z-statistic for this situation?
Mathematics
1 answer:
KiRa [710]3 years ago
5 0

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 2.68.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (195 – 208)/2.68 = -4.86

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If $4,000 is invested in an account for 25 years. Calculate the total interest earned at the end of 25 years if the interest is:
Scrat [10]

The interest is a) $7000

b) $17709.73

c) $18672.62

d) $18901.67

What is the formula for simple and compound interest?

Simple interest = (P× r× t)

Compound interest = P(1+r/n)^nt - P

We will find the interest as shown below:

P=$4,000

t=25 years

a) r=7%=0.07

Simple interest = (P× r× t)

= (4000×0.07×25)

= $7000

b) r=7%=0.07

Compound interest = P(1+r)^t - P

= 4000(1+0.07)^25-4000

= $17709.73056

rounding to nearest cents

= $17709.73

c) r=7%=0.07

n=4

Compound interest = P(1+r/n)^nt - P

= 4000(1+0.07/4)^(25*4)-4000

= $18672.62375

rounding to nearest cent

= $18672.62

d) r=7%=0.07

n=12

Compound interest = P(1+r/n)^nt - P

= 4000(1+0.07/12)^(25*12)-4000

= $18901.6728

rounding to nearest cent

= $18901.67

Hence, the interest is a) $7000

b) $17709.73

c) $18672.62

d) $18901.67

Learn more about Interest here:

brainly.com/question/21104975

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7 0
2 years ago
34x=23+34/5+12x<br><br> btw anyone wanna add me on insta am bored
klasskru [66]

Answer:

sure its ablackmore

Step-by-step explanation:

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3 years ago
In a shipment of onions, 12% are damaged. 1,144 onions are undamaged.
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That's 13. So, then you would multiply 13 by 100. To get the total amount of onions. That'd be 1,300.</span>
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A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
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