All categories

2 years ago

(x-1)I+(y+1)=(1+i)(4-3i)

Mathematics

1 answer:

LenKa [72]2 years ago

8 0

Answer:

x=2, y=6

Step-by-step explanation:

You might be interested in

» What is the product?<br> 0.9 x 100 =

Zepler [3.9K]

The product of this is 90

4 0

3 years ago

Read 2 more answers

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution 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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

2 years ago

Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Setler79 [48]

Answer:

diameter = 3,600 units

Step-by-step explanation:

Let $\pi$ = 3.14

C = 2 $\pi$ r

11,304 = 2(3.14)r

r = 1,800

d = 2r = 2(1,800) = 3,600

7 0

2 years ago

Please Help Me:!!!!!

butalik [34]

Answer:

Vertical stretch of factor of 3

translated to the right 2

translated up 5

Step-by-step explanation:

6 0

3 years ago

Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a late

SashulF [63]

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

6 0

2 years ago

Read 2 more answers

(x-1)I+(y+1)=(1+i)(4-3i)​

(x-1)I+(y+1)=(1+i)(4-3i)