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tia_tia [17]
3 years ago
15

Smplify the expression: 5+6i/4+6i

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0
The answer would be 5 + 15i/2.

1. 5 + 3i/2 + 6i

2. 5 + (3/2i + 6i)

3. 5 + 15i/2.
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Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
Solve the equation for the indicated variable<br> x - 3y for y
Colt1911 [192]

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

7 0
3 years ago
I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi
kolezko [41]

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

A = P (1 + rt)

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

10000= P(1+0.075*8)\\\10000= P(1.6)\\\

Divide both sides by 1.6 we have

P= \frac{10000}{1.6} \\\P= 6250

P= $6,250

3 0
3 years ago
Find the surface area of the composite figure.
kakasveta [241]

Answer:

508.68 in^2

Step-by-step explanation:

The equation given: 2πr^2+2πrh

Givens: r = 3 in, h = 3*8 in = 24 in, π ≈ 3.14

Substitution: 2(3.14)3^2+2(3.14)3*24

Solution: 508.68

7 0
3 years ago
Pleaseeeeee helppp i dont get itttttttt
lisov135 [29]

Answer:

don't get what

Step-by-step explanation:

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3 0
3 years ago
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