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3 years ago

On the Set of axes below graph the line whose equation is 2y=-3x-2

Mathematics

1 answer:

frutty [35]3 years ago

7 0

Answer:

k = -4

Step-by-step explanation:

The given equation is: 2y = - 3x - 2.

This is written as: 3x + 2y + 2 = 0.

Given the point (2, k) lies on the line given.

That means it should satisfy the given equation.

So, to find the value of 'k', simply substitute the point on the line.

So, it becomes: 3(2) + 2(k) + 2 = 0

⇒ 6 + 2k + 2 = 0

⇒ 2k = - 8

Dividing by 2 throughout, we get: k = - 4

Hence, (2, -4) lies on the line.

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Danielle estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to

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Step-by-step explanation:

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3 years ago

A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

kari74 [83]

Answer:

The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

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

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

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4 years ago