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likoan [24]
2 years ago
7

(-90 – 27i) - (66 + 34i) Express your answer in the form (a + bi).

Mathematics
1 answer:
velikii [3]2 years ago
8 0

Answer:

Step-by-step explanation:

Remove the brackets

-90 - 27i - 66 - 34i                              

Combine like terms

- 90- 66 - 27i - 34i

-156 - 61i

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same
masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0
3 years ago
Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6
svetlana [45]

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

4 0
3 years ago
Help please 11 point reward :)
GrogVix [38]

Your 2nd option is the correct answer because 7 goes into both.

6 0
3 years ago
Read 2 more answers
Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently
Aleksandr [31]
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = <span> <span> <span> 10,841.24 </span> </span> </span>
If compounded quarterly, total = <span> <span> <span> 10,955.64 </span>
</span></span><span>If compounded monthly, total = </span> <span> <span> <span> 10,981.82 </span> </span> </span>
If compounded daily, total = <span> <span> <span> 10,994.58 </span> </span> </span>
Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm


<span> </span><span><span> </span> </span>

3 0
4 years ago
Oswaldo has read 65 pages of a book. That is 20% of the total number of pages. How many pages long is Oswaldos book? Plz plz plz
Katen [24]
We must multiply 20% by 5 in order to reach 100%.

To find out the total number of pages in Oswaldo's book, we must multiply his 20% (65) by 5, therefore:

65 * 5 = 325 total pages
6 0
3 years ago
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