Computer Scored Unit Test

What is the greatest common factor of 72 and 36

adelina 88 [10]

The greatest common factor is 36

5 0

4 years ago

0.21 divided by 33.2 !!! ASAP please show the work

PolarNik [594]

Answer:

0.0063253012

Step-by-step explanation:

hope this helps

7 0

3 years ago

79=11x+13 <br> Solve each equation by using the properties of equality and justify each step

neonofarm [45]

Solution: X=6

Detailed explanation:

In this problem we're asked to find "x" or the unknown.

The first step is to subtract 11x from both sides.

$---\mapsto\boldsymbol{-11x+79=13}$

Next, subtract 79 from both sides.

$---\mapsto\boldsymbol{-11x=-66}$

To finish this off, divide both sides by -11.

$---\mapsto\boldsymbol{x=6}$

Voila! There's our answer!

<h2><em>Cheers!! ^-^</em></h2>

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Hope I helped. Best wishes.

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8 0

2 years ago

Read 2 more answers

Justine paid 35.70 for a lego set that was on sale. The original price of the set was $42.00 what is the percentage discount for

Licemer1 [7]

15% because what you do is take $35.70 and subtract it from $42 then you get $6.3 and take that $6.3 and divide it from 42 and you get .15 but then just take the decimal away and it’s 15%.... don’t believe me just multiply 15% times 42

6 0

3 years ago

Read 2 more answers

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard

larisa86 [58]

Answer:

a) 36.88% probability that her pulse rate is between 66 beats per minute and 78 beats per minute

b) 66.30% probability that they have pulse rates with a mean between 66 beats per minute and 78 beats per minute

c)

C.

Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 72, \sigma = 6.5$

a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 66 beats per minute and 78 beats per minute.

The probability is?

This is the pvalue of Z when X = 78 subtracted by the pvalue of Z when X = 66. So

X = 78

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{78 - 72}{12.5}$

$Z = 0.48$

$Z = 0.48$ has a pvalue of 0.6844

X = 66

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{66 - 72}{12.5}$

$Z = -0.48$

$Z = -0.48$ has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 66 beats per minute and 78 beats per minute

b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 66 beats per minute and 78 beats per minute

The probability is?

Now we have $n = 4, s = \frac{12.5}{\sqrt{4}} = 6.25$