I believe the answer is 0.1
This constant of proportionality is equal to the slope of the line
If we asume each rectangle side is equal to a unit, then
Point 1 (0,3)
Point 2 (5,-1)
m = (y2 - y1) / (x2-x1)
m = (-1 - 3) / (5-0)
m = (-4) / (5) = -4/5 = k
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- <u>2t + 2h = 174</u>
<u> h = 17 </u>
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Therefore, she made 17 three point shots.
Answer: E) Mean will decrease, standard deviation will decrease
Step-by-step explanation:
Initial mean = 81
Initial standard deviation = 9
New score = 78
Taking a look at the initial mean(averahe) score, which is 81 and the new score to be added to the initial scores, the initial average is greater than the new score. Hence, this will result in a decrease in the new mean score after adding the new score of 78.
Also, taking a look at the standard deviation which is 9, we can conclude that the variability in initial scores from the mean scores is high. However, the new score of 78 and the initial mean are very close, and tend to low variation. Hence, adding the new score will lead to a decrease in variability and hence a decrease in the value of standard deviation.
Answer:
Option A. 3.5x + 15 ≥ 55
Step-by-step explanation:
Points Rosh received for becoming a member = 15
Points Rosh received for visiting the moving theater = 3.5
Total points needed for a free movie ticket = 55
For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.
Total points = Points received on becoming a member + Points received on x visits
So,
Total Points = 15 + 3.5x
These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:
3.5x + 15 ≥ 55
So, option A gives the correct answer
