Answer:
First one: yes
Second one: yes
Third one: no
Step-by-step explanation:
To find the midpoint of a line segment, you take the x and y coordinates of the 2 points, add each of them up, and divide each of them by 2.
First one: x = (1+3)/2 = 2, y = (2+4)/2 = 3, so it's correct.
Second one: x = (-1+3)/2 = 1, y = (1+-1)/2 = 0, so it's correct.
Third one: x = (-3+-1)/2 = -2, y = (0+5)/2 ≠ 2, so it's not correct.
I really hope this helped.
Answer:
The claim is false.
Step-by-step explanation:
Given the data :
13 24 21 37 15 25 18 22 40 32
The sample mean and standard deviation can ben calculated for the given sample.
Using calculator :
Sample mean, xbar = 24.7
Sample standard deviation, s = 9.04
Sample size, n = 10
The hypothesis :
H0 : μ = 17
H1 : μ ≠ 17
The test statistic :
(xbar - μ) ÷ (s/√(n))
(24.7 - 17) ÷ (9.04/√(10))
7.7 / 2.8586990
Test statistic = 2.694
We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9
Pvalue = 0.0246
Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure
Answer:
1) For each value of x, a value of y is increased by 5.
x = 0, y = 5
x = 1, y = 10
x = 2, y = 15
x = 3, y = 20
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2) For each two values of x, a value of y is increased by 10.
x = 0, y = -2
x = 2, y = 8
x = 4, y = 18
x = 6, y = 28
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3)
x = 0, y = 1
x = 1, y = 
x = 5, y = 3
x = 10, y = 5
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4)
x = 0, y = 2
x = 1, y = 17
x = 2, y = 32
x = 5, y = 77
Step-by-step explanation:
This is as easy as replacing x for the actual value show on the table.
1)

When x = 0, y = ?

When x = 1, y = ?

When x = 2, y = ?

When x = 3, y = ?

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2)

When x = 0, y = ?

When x = 2, y = ?

When x = 4, y = ?

When x = 6, y = ?

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3)

When x = 0, y = ?


When x = 1, y = ?


When x = 5, y = ?

When x = 10, y = ?

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4)

When x = 0, y = ?

When x = 1, y = ?

When x = 2, y = ?

When x = 5, y = ?

The slope-intercept form:

m - slope
b - y-intercept → (0, b)
We have the points (-4, -6) and (2, 6). Substitute:

Put the coordinates of the point (2, 6) to the equation of a line:

<h3>Answer: y = 2x + 2</h3>