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Karo-lina-s [1.5K]
3 years ago
10

Given ∠2 and ∠4 are vertical angles. Prove ∠2 ≅ ∠4

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

THEY ARE THE MEDICAL WAY

Step-by-step explanation:

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A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam
bija089 [108]

Answer:

Check the explanation

Step-by-step explanation:

Going by the first attached image below we reject H_o against  H_1 if obs.T > t_{\alpha /2;n-1}

here obs.T=1.879

\therefore obs.T \ngtr 2.447=t_{0.025;6}

we accept H_o:\mu _{1}=\mu_{2} at 5% level of significance.

i.e there is no sufficient evidence to indicate that the special study program is more effective at 5% level of significance.

1.

this problem is simillar to the previous one except the alternative hypothesis.

Let X_i's denote the bonuses given by female managers and Y_i's denote the bonuses given by male managers.

we assume that X_i \sim N(\mu _{1},\sigma _{1}^{2}) Y_i \sim N(\mu _{2},\sigma _{2}^{2}) independently

We want to test H_0:\mu_{1}=\mu_{2} vs H_1:\mu_{1}\neq \mu_{2}

define D_i=X_i-Y_i , i=1(1)8

now D_i\sim N(\mu _{1}-\mu _{2}=\mu _{D},\sigma _{1}^{2}+\sigma _{2}^{2}=\sigma _{D}^{2}) , i=1(1)8

the hypothesis becomes

H_0:\mu_{D}=0 vs H_1:\mu_{D}\neq 0

in the third attached image, we use the same test statistic as before

i.e at 5% level of significance there is not enough evidence to indicate a difference in average bonuses .

3 0
3 years ago
What is the equation of this line?<br> y=3/2x −2<br> y=−2x+3/2<br> y=−2x+2/3<br> y=2/3x −2
podryga [215]
The answer is the last one, y = 2/3 -2
Use the rise over run strategy on linear functions such as this one
7 0
2 years ago
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicl
AleksAgata [21]

Answer:

The answer is D. the gas mileage after the additive is used

Step-by-step explanation:

I got 100% on edg!

3 0
3 years ago
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In the diagram, PQR is a equilateral triangle. Given that QT=TR, find the length, in cm, of PT, correct to 2 decimal places.
Zanzabum
The length of RT=12÷2=6cm

the length of PT
6^2+PT^2=12^2
PT=√108
PT=10.392 decimal places

4 0
3 years ago
You're buying a house for the stated price of $133,000 and you've been approved for a
trasher [3.6K]

Answer:

a. 823.23

Step-by-step explanation:

used a motgage calculator

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