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SSSSS [86.1K]
3 years ago
13

What is the equation of a line parallel to y = 2x + 3 and passes through the point (2, 1)?

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

<u>y-1=2</u>

x-2

y-1=2x-4

y=2x-3

Step-by-step explanation:

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Consider estimating a population proportion p. What is the most conservative sample size (erring on the large size) required in
just olya [345]

Answer:

The most conservative sample size is 2401.

Step-by-step explanation:

We are given the following in the question:

We are not given any approximation of s]ample proportion, thus,

\hat{p} = 0.5

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.5(1-0.5)}}{0.02}\\\\\sqrt{n}=49\\n = 2401

Thus, the most conservative sample size is 2401.

3 0
3 years ago
If 210 people chose football as their favorite sport and that is 42% how many people were surveyed
dimulka [17.4K]
The answer is about 28-30 people who were surveyed.
7 0
3 years ago
It takes Mark 3 minutes to make 1 1/2 inches of a bracelet. If he works at the same speed, how many minutes will it take him to
RUDIKE [14]

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

7 0
4 years ago
The perimeter of the triangle shown is 40 meters. Write an equation to represent the
Alex_Xolod [135]

Answer:

15m

Step-by-step explanation:

perimeter=total distance round a figure

40m=11m+16m+2n+3m

40m=30m+2n

50m-30m=2n. 30=2n. (divide both sides by 2 to get). n=15m

5 0
3 years ago
Which quadratic equation has roots of 7 and -2?
RUDIKE [14]

Answer:

x² - 4x - 21 = 0

Step-by-step explanation:

7 0
3 years ago
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