Solve for x and y<br>2x+3yi=-14+9i

Simplify: (-2x - 3) – (3x2 – 8x + 9). Choose the standard form of the answer.

lawyer [7]

Answer:

C

Step-by-step explanation:

Given

(- 2x - 3) - (3x² - 8x + 9) ← distribute parenthesis

= - 2x - 3 - 3x² + 8x - 9 ← collect like terms

= - 3x² + 6x - 12 → C

7 0

3 years ago

A recent survey of students at John Tukey High School revealed that

RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that 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.

18% of the students are in favor of changing the dress code.

This means that $p = 0.18$

You randomly select 15 students

This means that $n = 15$

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051$

$P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678$

$P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234$

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0

3 years ago

Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?

Lorico [155]

Answer:

Step-by-step explanation:

events are 1+1+4=6

1+2+3=6

1+3+2=6

1+4+1=6

2+1+3=6

2+2+2=6

2+3+1=6

3+1+2=6

3+2+1=6

4+1+1=6

total number of ways=10

7 0

3 years ago

Read 2 more answers

Write the number 32 in same values of 32

prohojiy [21]

Answer:

Thirty Two

Step-by-step explanation:

like this? hope it helps

8 0

3 years ago

Which of the following expressions represents \"the quotient of nine times a number and seven\"? A. 9n ÷ 7. B. 9n - 7. C. 9(n +

Illusion [34]

The correct answer among all the other choices is A. 9n ÷ 7. This is the expression that represents "the quotient of nine times a number and seven." Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.

5 0

3 years ago

Read 2 more answers

Solve for x and y2x+3yi=-14+9i