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gayaneshka [121]
3 years ago
5

Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)

Mathematics
2 answers:
jasenka [17]3 years ago
4 0

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).

Ludmilka [50]3 years ago
3 0

You can find the midpoint with the following formula:

\frac{x1+x2}{2}, \frac{y1+y2}{2}

Substitute the corresponding values into the formula.

\frac{(-12)+(-8)}{2}, \frac{(-7)+(-4)}{2}

\frac{-20}{2}, \frac{-11}{2}

-10, -5.5

The coordinates of the midpoint are (-10, -5.5).

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Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times
Alexeev081 [22]

Answer:

The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D

D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites

Step-by-step explanation:

From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines

Let 'A' represent one of the airlines and let 'B' represent the other airline

In the statistics hypothesis test we have;

The mean time to access airline A's website, \overline x_1 = 2.5 minutes

The standard deviation to access airline A's website, s₁ = 0.8 minutes

The mean time to access airline B's website, \overline x_2 = 2.1 minutes

The standard deviation to access airline B's website, s₂ = 1.1 minutes

The t-test is given as follows;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}

The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;

t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32

Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.

7 0
3 years ago
How would you best describe the angle pair<br> &lt;3 and &lt;8
Alex_Xolod [135]

Answer:

Vertical angles

5 0
3 years ago
If you have a 21oz cereal and the price is 2.94 what is the unit price
just olya [345]
For 21 Oz, price is 2.94
So, for 1 Oz, it would be: 2.94 / 21 = 0.14

In short, Your Answer would be $0.14 cereal per oz.

Hope this helps!
6 0
3 years ago
Read 2 more answers
105 people must be split into 3 equal groups. How many people in each group?​
Allisa [31]

Answer:

35 people in each

Step-by-step explanation:

105÷3=35

6 0
3 years ago
Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head st
steposvetlana [31]
Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.

Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s

Mark:
t =  5 s

Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s

Summary:
Barbara:  13.3 s
Mark:       5 s
Carlos:     19 s

Answer:
The winner is Mark
7 0
3 years ago
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