All categories

4 years ago

Please help :) (4-3i)(-3+6i)-(2-i)

Mathematics

2 answers:

madam [21]4 years ago

7 0

Answer:

4+34i

Hope this helps!!!!!!

hjlf4 years ago

6 0

Answer 4+34i
Pls mark brainliest

You might be interested in

Suppose a sample of 80 with a sample proportion of 0.58 is taken from a

Anvisha [2.4K]

Answer:

99.7% confidence interval is $[0.4162,0.7437]$

Step-by-step explanation:

The formula for a confidence interval for a population proportion is $CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$ where $\hat{p}$ is the sample proportion, $n$ is the sample size, and $z^*$ is the critical score for the desired confidence level.

We are given a sample size of $n=80$ and a sample proportion of $\hat{p}=0.58$ . Our critical score for a 99.7% confidence level would be $z^*=normalcdf(0.9985,0,1)=2.9677$

Therefore, the approximate 99.7% confidence interval for the population parameter is $CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]$

So we are 99.7% confident that the true population proportion is contained within the interval $[0.4162,0.7437]$

3 0

3 years ago

Laqueta has three times as many quarters as Pablo if they each spend $.50 Laqueta will have five times as many quarters as Pablo

masya89 [10]

Answer:

Number of quarters with Pablo = 4

Number of quarters with Laqueta = 12

Step-by-step explanation:

Given that:

Laqueta has three times as many quarters as Pablo.

They both spend $0.50.

After that Laqueta will have 5 times as many quarters as Pablo.

To find:

Number of quarters with Laqueta and Pablo now?

Solution:

Let number of quarters with Laqueta = $x$

Let number of quarters with Pablo = $y$

As per given statement:

$x=3y ..... (1)$

In $0.50, there are 2 quarters:

After spending $0.50, number of quarters left with both of them:

Number of quarters left with Laqueta = $x$ - 2 = $3y-2$

Money left with Pablo = $y$ - 2

As per given statement:

$3y-2 = 5(y-2)\\\Rightarrow 3y-2 = 5y-10\\\Rightarrow 2y = 8\\\Rightarrow y = 4$

Therefore, the answer is:

Number of quarters with Pablo = 4

Number of quarters with Laqueta = $3 \times 4$ = 12

8 0

3 years ago

TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these

Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

first we get here total no of probability that is

n(s) = 15 C 9

n(s) = $\frac{15!}{9!(15-9)!}$

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = $\frac{9!}{3!(9-3)!}$

n(3) = 84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = $\frac{6!}{4!(6-4)!}$

n(4) = 15

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15 = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = $\frac{1260}{5005}$

probability = 0.2517

6 0

4 years ago

EXPERT HELP I'LL GIVE BRAINLIEST:

ICE Princess25 [194]

Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

A = 2wl + 2lh + 2hw (w is width, l is length, h is height)

w = 18, l = 21, h = 3

A = 2(18)(21) + 2(21)(3) + 2(3)(18)

A = 2(378) + 2(63) + 2(54)

A = 756 + 126 + 108

A = 990 (C)

5 0

3 years ago

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating c

Lerok [7]

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

$H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0$

For point b:

$t = -2.953$

For point c:

$\to p- value = 0.0021$

For point d:

Reject $H_o$ . It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

7 0

3 years ago