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VARVARA [1.3K]
3 years ago
12

Discuss transformation of linear equations in two sentences

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

transformations are used to to graph the linear function in the form of f(x)=mx+b f ( x ) = m x + b. google says to "Graph f(x)=x f ( x ) = x . Vertically stretch or compress the graph by a factor |m|. Shift the graph up or down b units."

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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
2 years ago
Please help!!! ILL GIVE U BRAINLIEST.
Viktor [21]

Answer:

f(x) is translated by 4 units left.

Step-by-step explanation:

did it help ?

well, hope it helps !

6 0
2 years ago
Please help me asap<br><br><br> ty :)
Art [367]

Answer:

y = 5x+7

Step-by-step explanation:

Parallel lines have the same slope so y = 5x+9 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 5

The new line will have a slope of 5

y = 5x+b

We know a point on the line (-2,-3)

Substitute this point into the equation

-3 = 5(-2)+b

-3 = -10+b

-3+10 = b

7 = b

y = 5x+7

3 0
2 years ago
Read 2 more answers
G(-2)=-2(-2)2 + 3(-2)-5<br> g(-2) = -2(4) – 6-5<br> g(-2) =<br> g(0) =<br> 1<br> g(3) =
ziro4ka [17]

Answer:

g(-2)= -19

g(0)= -5

g(3)= -14

Step-by-step explanation:

5 0
3 years ago
Help me out please!!!!!
MAVERICK [17]

Answer:

the answer is D

Step-by-step explanation:

that is R ND Q re on the same line as well as S ND

6 0
2 years ago
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