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3 years ago

Write the equation in slope intercept form of the line that is perpendicular to y=-3x+7 and passes through the point (6,-4)

Mathematics

2 answers:

seropon [69]3 years ago

5 0

The answer to this question is Y= -1/3 - 2

Gre4nikov [31]3 years ago

4 0

The equation is y = -1/3x-2.

To determine the equation, I remembered that for a equation to be perpendicular of another, the original slope will be the reciprocal. So, -3 will turn into -1/3. Then I written the equation y=mx + b. I wrote out -4 = -1/3 (6) + b because I plugged in the x and y values. Then I solved for b. The result I got for b was -2.

After solving for b, the equation I found was y= -1/3x-2

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Which of the following situations are equal to 2? Select all that apply.

MissTica

Answer:

C, D, and E

Step-by-step explanation:

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Happy New Year!!

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3 years ago

Solve 7z^2 + 4z - 1) + (2z^2 - 6z + 2)

Vlad1618 [11]

Answer:

9z^2+4x+1

Step-by-step explanation:

Remove parentheses.

7{x}^{2}+4x-1+2{x}^{2}+2

+4x−1+2x

2 Collect like terms.

(7{x}^{2}+2{x}^{2})+4x+(-1+2)

(7x

+2x

)+4x+(−1+2)

3 Simplify.

9{x}^{2}+4x+1

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2 years ago

Given that (0,-2) is on the graph of fx find the corresponding point for the function f(x)+3

Svetach [21]

Answer:

(0, 1)

Step-by-step explanation:

Take your y-value (-2) and add 3

4 0

3 years ago

What’s a random sample survey

Fudgin [204]

Answer:

its a variety of selection techniques in which sample members are selected by chance

Step-by-step explanation:

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3 years ago

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So 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.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago