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Murljashka [212]
2 years ago
10

The temperature at noon was 5 degrees and drops 15 degrees. What is the new temperature?

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0
The temperature would be -10 degrees
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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 <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
Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 ​ (2a−6b+8)
liberstina [14]

Answer:

a+4=11b

Step-by-step explanation:

Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.

for example a( b+c) = ab+ac

Therefore, applying distributive property in asked eapression

12(2a - 6b+ 8) = 21(2a−6b+8)

24a+72b+96 = 42a-126b+168

198b=18a+72

9a +36=99b

3a+12=33b

a+4=11b

5 0
2 years ago
123456-654321=<br> eeeeee
BigorU [14]

Answer:

−530865

Step-by-step explanation:

hoped I helped:)

4 0
3 years ago
Which of the following must be true for and expression to be a difference of two squares?
Rudik [331]
<span>Let's say e=a^2−b^2 and take each affirmation:

a. </span><span>both coefficients are perfect squares.
</span><span>a could be equal to 2 which is not a perfect square 

b. </span><span>there are only two terms - obviously yes
</span><span>
c. </span>both terms have negative coefficients - as we can see just b has a negative <span>coefficient

Final answer b. </span><span>there are only two terms.</span>
<span>

</span>
5 0
3 years ago
Read 2 more answers
Please simplify the expression
Rzqust [24]

Answer:

10y + 12x +38

Step-by-step explanation:

Take the common variable aside

4y + 6y + 8x + 4x + 6 + 25 + 7

10y + 12x + 38

7 0
3 years ago
Read 2 more answers
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