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3 years ago

Find the midpoint between 3+8i and 2-i

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

(5/2) +(7/2)i

Step-by-step explanation:

The midpoint is the average value:

((3 +8i)+(2 -i))/2 = (5 +7i)/2 = (5/2) +(7/2)i

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I have 18 piece of fruit 9 are apples the rest are oranges how many are oranges

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Answer:

Step-by-step explanation: 18-9=9

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4 years ago

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Which of the following values is equal to − (−3.7)? −3.7 0 3.7 4 (not it)

bogdanovich [222]

3.7

I hope this helps! Negatives cancel out negatives

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A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

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

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

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3 years ago

If f(x)=4x^2 and g(x)=x+1, find (f-g)(x)

Nataly [62]

Answer:

I need help

Step-by-step explanation:

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Kyle buys $30,000 of company XYZ's shares, at a share price of $50. A year later, XYZ's share price is $55, and Kyle sells all h

creativ13 [48]

Answer:

$3,000

Step-by-step explanation:

Given that the shares are $50 per share and that Kyle buys $30,000 worth of shares,

Number of shares bought = total price of shares ÷ price per share

= $30,000 ÷ $50

= 600 shares

We are also give that a year later, the shares are worth $55

Total value of shares 1 year later = Price per share one year later x number of shares

= $55 x 600

= $33,000

Hence the investment gained $33,000 - $30,000 = $3,000

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3 years ago

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