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2 years ago

5

2(7/17)+3y=-2. what is the value of y?

2 answers:

Olin [163]2 years ago

8 0

-16/17 is the answer...

2(7/17)+3y=-2
14/17+3y=-2
3y=-2 - 14/17
y = (-2 - 14/17)/3
y = -16/17

Ad libitum [116K]2 years ago

4 0

2/(2y+7=17 multiply both sides by (2y+7) distribute: 2=34y+119 subtract 119 from both : 34y=117 both sides by 34: y=117/34 or: (2/3)y+ 7=17 subtract 7 from both sides: (2/3)y=10 divide both sides by 2/3:y=10/(2/3)=10(2/3)=15

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Find the area of the figure.<br><br>12 ft<br>18 ft<br>18 ft<br>36 ft

Nataly_w [17]

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2 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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3 years ago

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saveliy_v [14]

Answer:

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Step-by-step explanation:

Hello There!

The figure shown is a trapezoid with the following dimensions

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We can do this by using the area of a trapezoid formula

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2 years ago

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