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Jlenok [28]
2 years ago
13

Question 1

Mathematics
1 answer:
ad-work [718]2 years ago
3 0
The answer is 5680 :) thank me later
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Help pls
timurjin [86]

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

3 0
2 years ago
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
Questions 1-6 of 6 | Page 1 of 1
LenKa [72]

Answer:

Blank 1 = 53 + 90 = 143

Blank 2 = 143 - 229 = -86

Blank 3 = 0 - 86 = 86

7 0
3 years ago
A triangle has the coordinates of A (1,2), B (4,6), and C (4,-3). If the triangle is translated 2 units right, what are the new
yaroslaw [1]

A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )

A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.

A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )

B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )

C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )


8 0
3 years ago
How old is a 13 year old is going to be in 2021?
Anna11 [10]
In 2021 a 13 year old will be 17 years old.
5 0
3 years ago
Read 2 more answers
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