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2 years ago

A circle has a diameter of 18 cm. Find the circumference. . Use 3.14 for π.

Mathematics

1 answer:

marta [7]2 years ago

8 0

Answer:

Step-by-step explanation:

C= 2 *3.14*r

we have diameter 2r=d=18

C=18*3.14

C=56.52

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A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

If the Semi Monthly is $4,000

Andreyy89

Disclaimer- this is all assuming that "semi monthly" means twice a month. if it doesn't, ignore this answer

A- if semi monthly is half a month, then 4 times 2 is 8, and 8 times 12 is 96,000.

B- If there are 4 weeks in a month and 4000$ accounts for half of that pay, then the weekly pay is 2000, making the bi-weekly pay 1000.

C- The monthly pay is 8,000$ because 4,000 x 2 is 8,000

D- The weekly pay is 2,000$ because the monthly pay is 8,000$ and there are 4 weeks in a month

E- I do not know the hours at this job and therefore cannot answer this

4 0

2 years ago

In order for Mark to get to work he needs to drive 10 miles south and 20 miles east. How many miles would he have to go if there

IrinaK [193]

To answer this i need a little more info but it's probably going to be 30 miles.

8 0

2 years ago

A car manufacturer sent out survey cards to owners who had purchased new cars. The survey card only had boxes to check for repli

pantera1 [17]

Answer: I think the answer is B. I don't fully understand the question but it seems like that would be the answer. You might double check though.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

How to i get the aswner for 3^5(8×9)

Agata [3.3K]

Hey there Emilybarnhart20,

How do I get the answer for 3^5(8x9)

Answer:

Step 1 : Finish the equation in the brackets

3^5 (72)

Step 2: Find the answer for 3^5

243 (72)

Step 3 : Multiply 243 with 72

243 (72) = 17496

Hope this helps :D

~Top♥

3 0

3 years ago