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kondor19780726 [428]
2 years ago
10

What is the y intercept of the line that passes through the point 3, 4 and has a slope of 3

Mathematics
1 answer:
notka56 [123]2 years ago
3 0

(0, -5)

Step-by-step explanation:

Since we are given the slope and a point on the line, we can use these to write the point-slope form of the equation of the line, which looks this this:

y - y_1 = m(x - x_1)

where (x_1, y_1) is the point on the line and m is the slope. So the equation has the form

y - 4 = 3(x - 3)

To find the y-intercept, set x = 0 to get

y - 4 = 3(0 - 3) \Rightarrow y - 4 = -9

Solving for y, we get

y = -5

Therefore, the coordinates of the y-intercept is (0, -5).

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A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
fiasKO [112]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

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}.

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0
2 years ago
Write an equation to match each graph:
castortr0y [4]

From what I know this graph looks like that of a modulus function except it's shifted 1 unit to right and 1 unit below the origin.

So the original equation must be:
y = |x|

And the transformed equation (aka the equation if this graph) must be,

y+1 = |x| -1

y = |x| -2
7 0
2 years ago
Read 2 more answers
What is the best estimate of the sum of the fraction? 31/4 +17/3 +8/18
Bogdan [553]

The best estimate of the sum of the expression given is \rm 13 \dfrac {31}{26}

What is a Fraction ?

A fraction is written as p/q , where q \rm \ne 0

It is asked to determine the sum of the fraction

31/4 + 17/3 + 8/18

Taking the LCM of 4 , 3 , 18

LCM of 4 , 3 ,18 is 36

Therefore

\rm \dfrac{ 31 *9 + 17 *12 + 8 *2}{36 }

(279+204+16) /36

499 / 36

\rm 13 \dfrac {31}{26}

Therefore the best estimate of the sum of the expression given is \rm 13 \dfrac {31}{26}.

To know more about Fraction

brainly.com/question/10354322

#SPJ1

3 0
2 years ago
A soccer team drank 7 gallons of water during the first 3 games this season. At this rate, about how many gallons of water will
andrezito [222]
The answer would be 77.
8 0
3 years ago
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5x=1/2x does it equal 0 ?
lorasvet [3.4K]

Answer:

Yes it does equal zero.

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