Answer: Dist = 8.94, midpoint = (1,6)
Step-by-step explanation:
Basically, the Distance between the points is the hypotenuse of a right triangle, whose legs are parallel to the x and y axes.
Leg 1 = x2 - x1 = 5 - -3 = 8
Leg 2 = y2 - y1 = 8-4 = 4
Hypotenuse = (8^2 + 4 ^2) ^ .5 = (64+16)^.5
Sqrt(80) = 8.94
The midpoint is aligned with the midpoint of each leg
X = 5 - 8/2 = 1
Y = 8 - 4/2 = 6
So (1,6) is the midpoint
Answer: 150 students walk to school
Step-by-step explanation: 75%=0.75
200 multiplied by 0.75
200×0.75=150 students
Or
75%=3/4
3/4 of the children walk to school
3/4×200=3/4×200/1=150
Answer:
Null Hypothesis, 
: p 
85%
Alternate Hypothesis, 
: p > 85%
Step-by-step explanation:
We are given that it's been found that 85% of American adults suffer from triskaidekaphobia (fear of the number 13).
A USA Today/Gallup poll asked 1,006 randomly selected people 18 years old and older in telephone interviews "Suppose you checked into a hotel and were given a room on the thirteenth floor. Would this bother you or not?" 87% of the survey respondents answered they would be bothered.
Let p = <u><em>proportion of respondents who would be bothered about given a room on the thirteenth floor</em></u>
SO, Null Hypothesis, : p 85%
Alternate Hypothesis, : p > 85%
Here, <u>null hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is less than or equal to 85%.
On the other hand, <u>alternate hypothesis states that</u> the proportion of respondents who would be bothered about given a room on the thirteenth floor is more than 85%.
Hence, this would be the correct null and alternative hypothesis.
Answer:
either # 5 or 6
Step-by-step explanation:
hope this helps
Answer:
"The question cannot be answered without knowing the scale factor."
Step-by-step explanation:
<u>The complete question:</u>
<em>A dilation centered at the origin is applied to the line y = 3x + 5. What is true about the image of the line?</em>
- <em>It is the same line.
</em>
- <em>
It is another line parallel to y = 3x + 5.
</em>
- <em>
The image is not a line.
</em>
- <em>
The question cannot be answered without knowing the scale factor.</em>
<em />
A dilation, center at origin, with a scale factor of "k", will have a rule:
(x,y) = (kx,ky)
This basically means that the image after dilation will have the points kx and ky respectively.
If k ≠ 1, this means the image is parallel to the line y = 3x + 5
If k = 1, this means the image is same, it coincides with the line y = 3x + 5
<u><em>Thus, the scale factor is really important and we can't say anything about this dilation since scale factor isn't known.</em></u>
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