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Hitman42 [59]
2 years ago
13

(8+8i)(-3+9i) using imaginary numbers

Mathematics
2 answers:
Leya [2.2K]2 years ago
6 0

The answer is -96+48i

lana66690 [7]2 years ago
3 0
-96+48i is the answer and check photo for steps

You might be interested in
Need help asap thanks!!
Zigmanuir [339]

I'm sure is true hopefully.

6 0
2 years ago
The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.
serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that p = 0.16

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136


0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

E = \frac{n}{p}

In this question, n = 1, p = 0.16. So

E = \frac{1}{0.16} = 6.25

The expected number of at-bats until the next home run is 6.25.

6 0
2 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
SpyIntel [72]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

3x+8y=55 -----> equation A

x+y=15

x=15-y -----> equation B

Substitute equation B in equation A

3[15-y]+8y=55

45-3y+8y=55

5y=55-45

5y=10

y=2

Find the value of x

x=15-y

x=15-2=13

therefore

<u>the answer is</u>

the number of multiple choice question are 13

the number of free response question are 2

5 0
3 years ago
Read 2 more answers
the parabola y=x^2 is shifted up by 2 units and to the right by 3 units. what is the equation of the new porabola
Juli2301 [7.4K]
Up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1
6 0
2 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Assoli18 [71]

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 13², so

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

3 0
3 years ago
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