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Lubov Fominskaja [6]
3 years ago
8

The point (3 , k) is a distance of 5 units from (0 , 1). Find the two possible values of k.

Mathematics
1 answer:
valkas [14]3 years ago
7 0
D =√(x2-x1)^2 + (y2-y1)^2
......._____________
5 =√(3-0)^2 + (k-1)^2
.......__________
5 =√3^2 + (k-1)^2

25 = 9 + (k-1)^2

16 = k^2 - 2k + 1

k^2 -2k - 15 = 0

(k - 5)(k + 3) = 0

k - 5 = 0.....or.......(k + 3) = 0

k = 5.........or.......k = -3
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Answer: 756

Step-by-step explanation:

Given : The proportion of adults over 50 never graduated from high school.  = 0.23

Margin of error : E=0.03

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

The formula to find the sample size is given by:_

n=p(1-p)(\dfrac{z_{\alpha/2}\ }{E})^2

i.e. n=(0.23)(0.77)(\dfrac{(1.96)}{0.03})^2=755.941511111approx756

Hence, the required minimum sample size = 756

4 0
3 years ago
Which equation demonstrates the additive identity property?
Vika [28.1K]

we know that

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The number zero is known as the identity element, or the additive identity.

For example: a+0 =a

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4 0
4 years ago
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CAN SOMEONE PLZzzz Plzzzz HELP!!!???
umka21 [38]
First plot the points. Let’s just use the first graph. When you have done that. Draw a triangle. Find the right angle and look at what line is across from that. That is the hypotenuse. That is the length that you are trying to find. So you have to do your equation: a^2 + b^2 = c^2. A and B have to be the length of the other 2 lines(just count it). When you have done that repack you a and b with your #s. And what ever is equal to you c. Then that is you answer. (Im sorry if this was confusing)
8 0
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Mike had $8.25 in his account. He deposited $2.25 on Tuesday. He then withdrew $5.75 for lunch on Wednesday. How much money does
Andre45 [30]

Answer:

<em>$4.75</em>

Step-by-step explanation:

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6 0
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Answer:

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Step-by-step explanation:

Before Tax Price: $708.99

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After Tax Price: $778.12

3 0
3 years ago
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