The following data points represent the number of puppies in each litter at Port's Pup Rescue.

What is 84:7 in its lowest form

In-s [12.5K]

Divide both the numerator and denominator by the GCD so it’s 12/1

8 0

2 years ago

Read 2 more answers

Which step should be performed first when simplifying 25 − (14 − 8) + 3 × 2?

Vanyuwa [196]

Answer:

(14-8)

Step-by-step explanation:

Heres why:

Pedmas

P= Parenthesis

E=Exponents

D=Division

M=Multiplication

A=Addition

S= Subtraction

Do that in order.

7 0

3 years ago

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=60$ represent the population standard deviation

n represent the sample size (variable of interest)

Confidence =95% or 0.95

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

6 0

3 years ago

How do you do this question? 24 is what percent of 32?

Eddi Din [679]

24 = x% * 32

24= x/100 * 32

Multiply 100 on both sides.

2400 = x * 32

32x = 2400

Divide 32 on both sides.

x = 2400/32

x = 75

75 percent<span> of 32 is 24</span>

6 0

3 years ago

Read 2 more answers

Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot that

coldgirl [10]

Answer:

431.775 ft

Step-by-step explanation:

So basically we should first find the area of the rectangles which is 28 ft * 15 ft, which you get 420. Next for the semicircle, the diameter is 15 but we need the radius so you divide that by 2 to get 7.5 as the radius. Then u multiply 7.5 * π, or 3.14 to get 23.55. But since its a semicircle, or half a circle we divide 23.55 by 2 which is 11.775. Then we just add the results which is 420 ft and 11.755 ft to get a total area of 431.775 ft.

-Hope this helped!

4 0

3 years ago