1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
V125BC [204]
3 years ago
7

The profits of life insurance companies A and B are normally distributed with the same mean. The variance of company B's profit

is 2.25 times the variance of company A's profit. The 14th percentile of company A's profit is he same as the pth percentile of company B's profit. Calculate p.
Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

23.58-th

Step-by-step explanation:

The standard deviation of company B's profit is:

\sigma_B=\sqrt{2.25}\sigma_A

Let X be the profit correspondent to the 14th percentile of company A's profit.

The z-score for 14th percentile of a normal distribution is roughly -1.08.

The z-scores for X in companies A and B are:

-1.08 = \frac{X-\mu}{\sigma_a} \\z_B = \frac{X-\mu}{\sqrt{2.25}*\sigma_a}\\z_B=\frac{-1.08}{\sqrt{2.25}}\\z_B = -0.72

The z-score for X in company B's profit distribution is -0.72, which corresponds to the 23.58-th percentile.

You might be interested in
<img src="https://tex.z-dn.net/?f=3a-4%5Cleq5" id="TexFormula1" title="3a-4\leq5" alt="3a-4\leq5" align="absmiddle" class="latex
Gnesinka [82]
It depends, what does a mean? If you know just add what a means to 3 then subtract 4.
4 0
3 years ago
Simplify the following expression.
Rzqust [24]

Step-by-step explanation:      

<u>Step 1: Add the numbers: 9.5 +6.2 = 15.7</u>

=8.6\left(15.7-3.5^2\right)

3.5^2=12.25

=8.6\left(15.7-12.25\right)

<u>Step 2: Subtract the numbers: 15.7 - 12.25 = 3.45</u>

= 3.45X 8.6

<u>Step 3: Multiply the numbers: 8.6 × 3.45 = 29.67</u>

<u />=29.67<u />

<u />

- To solve this equation, the first step is to add the numbers 9.5 + 6.2 into the equation and it will lead to 15.7 as the number for step one.

- To solve this equation, the second step is to subtract the numbers 15.7 - 12.25 into the equation and it will lead to 3.45 as the answer.

- To solve this equation, the third step is to multiply the numbers 8.6 x 3.45 into the equation and it will lead 29.67 as the final answer for the whole equation.

Answer:      

=29.67

 

Hope this helps.

3 0
2 years ago
What time does that say​
zubka84 [21]

Answer:

5:15

Step-by-step explanation:

The shorter "leg" show the hour and the longer "leg" shows the minutes. The minutes around the clock goes by 5s.

4 0
3 years ago
What is the ratio of two soccer balls to six footballs
kkurt [141]
The ratio would be 2:6 or 1:3 in its simplest form. 
3 0
3 years ago
A 2-pack of plastic flower pots costs $8.90. What is the unit price?
I am Lyosha [343]

Answer:

$0.79

Explanation:

1.58/2= 0.79

8 0
2 years ago
Read 2 more answers
Other questions:
  • Please help!! <br> What is the value of x?
    10·1 answer
  • The trail is 2982 miles long.It begins in city A and ends in city B.Manfred has hiked 2/7 of the trail before.How many miles has
    14·1 answer
  • Solve for t in terms of s, u, and v
    9·1 answer
  • Plz help with all ile give brainliest​
    9·1 answer
  • One number is twelve less than another number. The total of the two numbers is 154. Find both numbers.
    8·1 answer
  • Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 cm, 8 cm,
    7·2 answers
  • Which expression is equivalent to
    9·1 answer
  • 87789-8977609-78860=
    12·2 answers
  • Linear equation 3+X=-2 ​
    8·2 answers
  • Carlos spent a total of $40 at the grocery store. Of this amount, he spent $14 on fruit. What percentage of the total did he spe
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!