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maksim [4K]
3 years ago
8

3. Find the midpoint between the following points. (-2,-5) and (-3,1) ​

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

(x₁, y₁) = (-2 , -5)   & (x₂ , y₂) = (-3 , 1)

Midpoint = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

          =(\frac{-2 + [-3]}{2} ,\frac{-5 + 1}{2})\\\\\\=(\frac{-5}{2} , \frac{-4}{2})\\\\=(-2.5, -2)

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8/5 miles or 1.6 mile per hour

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What is −√72 expressed in simplified form
Alekssandra [29.7K]

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− 6 √ 2

Step-by-step explanation:

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5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of
solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.8}{\sqrt{36}} = 0.26

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0
3 years ago
What is the length of Line segment A C? Round to the nearest tenth. 3.0 cm. 9.8 cm. 10.5 cm. 12.8 cm.
Simora [160]

Answer:

10.5 cm

Step-by-step explanation:

A line segment is defined as a part of a line. It is a straight line having two end points. The only difference between a line and line segment is that a line is continuous with indefinite length whereas a line segment has a definite length to it between the two points.

In the figure, the length of the line segment is 10.5 cm (rounded to the nearest tenth).

5 0
2 years ago
Read 2 more answers
M(6, 7) is the midpoint of RS. The coordinates of 5 are (8,9). What are the coordinates of R? ​
Marta_Voda [28]

Answer:

R=(4,5)

Step-by-step explanation:

M={x1+x2/2,y1+y2/2}

(6,7)={8+x2/2,9+y2/2}

Equating the x coordinates and y coordinates

6=8+x2/2

12=8+x2

x2=12-8=4

7=9+y2/2

14=9+y2

y2=14-9=5

3 0
2 years ago
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