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ahrayia [7]
3 years ago
8

A number decreased by 14 is equal to 18. What is the number?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
The correct answer is 32 because:

x-14 = 18 => add 14 to both sides=>

x=32
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Explain how to determine if the number is a solution to the equation. n + 6 = 33 for n = 27
stepan [7]
If you subtract 6 from 33 youll end up with 27 and therefore 27 plus 6 equals 33
8 0
3 years ago
Read 2 more answers
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 <u>p-value of Z when X = 1250 subtracted by the p-value of Z when X = 1000</u>, 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 <u>one subtracted by the p-value of Z when X = 1250</u>, hence:

1 - 0.9222 = 0.0778 = 7.78%.

Item c:

The probability is the <u>p-value of Z when X = 1220</u>, 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

#SPJ1

3 0
2 years ago
Please help!! thank you
shutvik [7]

Answer: 5

Step-by-step explanation:

f(x)=3-x

f(-2)=3-(-2)

f(-2)=3+2

f(-2)=5

Hope this helps!! :)

Please let me know if you have any question

8 0
3 years ago
Evelyn has 12.7 quarte of fruit punch in a cooler. She pours the fruit punch into glasses. She fills 5 glasses, each with a capa
Alexus [3.1K]
There is 6.74 quarts left in the cooler.

Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt.  The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt.  This gives a total of 4.16+1.8 = 5.96 qt.

To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
7 0
3 years ago
The distance a person can travel varies directly with the time they have been traveling if going at a constant speed. If Phoenix
SVEN [57.7K]

Answer:

answer is 175 miles, have a good day <3

4 0
3 years ago
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