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4 years ago

Monique chose a number. She multiplied by 2, divided by 11, and added 6. The result was 10. Hint: work backwards to solve

Mathematics

2 answers:

sleet_krkn [62]4 years ago

8 0

The answer would be 22.

22 x 2=44

44 divided by 11 = 4

4+6=10

sweet-ann [11.9K]4 years ago

3 0

The answer is 22 because 22 multiplied by 2 is 44 and that divided by 11 is 4 and 4 added to 6 is ten. Hope this is helpful.

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The mean annual cost of an automotive insurance policy is normally distributed with a mean of $1140 and standard deviation of $3

DerKrebs [107]

Using the normal distribution, it is found that the probabilities are given as follows:

a) 0.8871 = 88.71%.

b) 0.0778 = 7.78%.

c) 0.8485 = 84.85%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters in this problem are given as follows:

$\mu = 1140, \sigma = 310, n = 16, s = \frac{310}{\sqrt{16}} = 77.5$

Item a:

The probability is the p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000, hence:

X = 1250:

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

By the Central Limit Theorem

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

$Z = \frac{1250 - 1140}{77.5}$

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

X = 1000:

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

$Z = \frac{1000 - 1140}{77.5}$

Z = -1.81

Z = -1.81 has a p-value of 0.0351.

0.9222 - 0.0351 = 0.8871 = 88.71% probability.

Item b:

The probability is one subtracted by the p-value of Z when X = 1250, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the p-value of Z when X = 1220, hence:

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

$Z = \frac{1220 - 1140}{77.5}$

Z = 1.03

Z = 1.03 has a p-value of 0.8485.

0.8485 = 84.85% probability.

More can be learned about the normal distribution at brainly.com/question/4079902

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2 years ago

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

Pavel [41]

The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers

two consecutive even integers: n, n+2

next two consecutive even integers n+4, n+6

n+(n+2) >= 7+1/2(n+4 +n+6)

combine like terms

2n+2 >= 7 +1/2(2n+10)

distribute 1/2

2n+2 >= 7+n+5

2n+2>= n+12

subtract n from each side

n+2>= 12

subtract 2 from each side

n>10

4 integers : 10, 12 ,14, 16

7 0

3 years ago

a man wanted to paint a cylinder gas tank. What amount of surface area will need to be covered if it had a radius of 14 inches a

Over [174]

Answer:

224

Step-by-step explanation:

in a cylinder the only sides that would actually count is the top and bottom
you would multiply the top and bottom.
14 x 16 = 224
if I'm wrong let me know

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3 years ago

A 6-pound bag of wheat costs $47.04. What is the price per ounce?

Lena [83]

Answer:

$0.49

Step-by-step explanation:

Using the conversion

1 pound = 16 ounces , then

6 pounds = 6 × 16 = 96 ounces, thus

cost of 1 ounce = $\frac{47.04}{96}$ = $0.49

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3 years ago

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DIA [1.3K]

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3 years ago

Monique chose a number. She multiplied by 2, divided by 11, and added 6. The result was 10. Hint: work backwards to solve​

Monique chose a number. She multiplied by 2, divided by 11, and added 6. The result was 10. Hint: work backwards to solve