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3 years ago

The distance of the point (5, -1) from the y axis is *

Mathematics

1 answer:

pashok25 [27]3 years ago

4 0

Answer:

5 units

Step-by-step explanation:

draw a horizontal line from the point (5, -1) to the y-axis: y=-1, it hits the y-axis at (0, -1). the distance between the two is 5 units

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X-1/2=15 1/4 whats x and show work

ikadub [295]

X-1/2=15 1/4

15 1/4 = 15*4 + 1 = 61/4

61/4

x - 1/2 = 61/4
+1/2 +1/2

61/4 + 2/4 = 63/4

x = 63/4

7 0

3 years ago

If the radius of a circle is increased by 100%, then the area is increased by:

shtirl [24]

$A_1=\pi r^2\\\\R=2r\ then\ A_2=\pi R^2\to A_2=\pi(2r)^2=4\pi r^2\\\\A_2-A_1=4\pi r^2-\pi r^2=3\pi r^2=3A_1\\\\3=300\%\\\\Answer:(C).$

5 0

3 years ago

Someone please help with this question :)!

Elodia [21]

I think a) would be the answer. I proceeded by elimination: the domaine of the function goes from 3 and continues to infinity, so that leaves with a) and b) as possible answers. Both have the same range and both of their functions reflect over the x axis, so we have to compare the two answer by looking at the position of the function in the graph. The function is in the first quadrant (top right corner), so the position of the function has to be at our right, which leads us to a).

3 0

2 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence level

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

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

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

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

On a test, wrong answers are worth -5.25 points and right answers are worth 3.5 points. So far, Marshall has one right answer an

Over [174]

Answer:

Marshall's current score is - 1.75 points

Step-by-step explanation:

From the question,

Wrong answers are worth -5.25 points and right answers are worth 3.5 points.

Currently, Marshall has one right answer and one wrong answer.

To determine Marshall's current score, we will multiply the number of right answers has by 3.5 points and multiply the number of wrong answers by -3.5 points and then add the results.

Number of right answers = 1

Number of wrong answers = 1

For the right answer, he has

1 × 3.5 points = 3.5 points

For the wrong answer, he has

1 × - 5.25 points = -5.25 points

Hence, Marshall's current score is

3.5 points + ( -5.25 points) = 3.5 points - 5.25 points

= - 1.75 points.

Hence, Marshall's current score is - 1.75 points.

8 0

2 years ago