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amid [387]
3 years ago
12

What is the slope of the line that passes through the points (-1 , 0) and (3 , 8).?

Mathematics
1 answer:
Zina [86]3 years ago
5 0
Let's apply the formula giving the slope:


m=(y2-y1) /(x2-x1) , let's plug:


m= (8-0) / (3-(-1)) ====> m= 2
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A recent survey of 128 high school students indicated the following information about release times from school. -35 percent wan
wlad13 [49]

Answer:

The interval is for those that want to get out earlier is between 43 student to 47 students

The interval is for those that want to get out later is between 48 student to 50 students

Step-by-step explanation:

Given that:

sample size n=128

Probability of those  that want to get out earlier = 0.35.

The mean  =  n × probability = 0.35 × 128 = 44.8 ≈ 45

Margin of error = 4% = 0.04 × 44.8 = 1.79 ≈ 2

Therefore the interval = mean ± Margin of error = 45 ± 2 = (43, 47)

The interval is for those that want to get out earlier is between 43 student to 47 students

Probability of those  that want to get out later = 0.39.

The mean  =  n × probability = 0.39 × 128 = 49.92 ≈ 50

Margin of error = 4% = 0.04 × 50 =  2

Therefore the interval = mean ± Margin of error = 50 ± 2 = (48, 52)

The interval is for those that want to get out later is between 48 student to 50 students

the group that wants to get out of school earlier to win after all the votes are counted if those that have no opinion decide that they want to go earlier

5 0
3 years ago
Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

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Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

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The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

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