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3 years ago

Solve the proportion.

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

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Is this adjacent, vertical, linear, or complimentary?

Varvara68 [4.7K]

<h3>Answer: Adjacent</h3>

Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.

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2 years ago

Read 2 more answers

3 more questions . geometry!!! please help

never [62]

10 is B
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3 years ago

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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2 years ago

use the tangent ratio to find the missing leg of the right triangle estimate your answer to two decimal places

Oksi-84 [34.3K]

Answer:

y = 5.595090517 or approximately 5.6

Step-by-step explanation:

Tan47 = 6/y

y x Tan47/Tan47 = 6/Tan47

y = 5.595090517 or approximately 5.6

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3 years ago

You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th

frutty [35]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices:

a.0.0142
b.1.0142 
c.14.2 
d.1.42

Every month your balance includes the original amount (100%) and the added the monthly interest (1.42%). So each month the balance will be 101.42% of the prior month's balance. Move the decimal point two places to the left to make that into a decimal.

Answer: 
b. 1.0142

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3 years ago