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Damm [24]
2 years ago
14

What is the length of the missing leg

Mathematics
2 answers:
Shtirlitz [24]2 years ago
7 0

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

Leona [35]2 years ago
6 0

Answer: 12 miles

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side.

a^2 + 5^2 = 13^2

a^2 + 25 = 169

subtract 25 from both sides

a^2 = 144

take the square root of both sides

a = 12

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z = \frac{0.00206 -0.0110}{\sqrt{\frac{0.00206*(1-0.00206)}{7765} +\frac{0.0110*(1-0.0110)}{2823}}}= -4.405

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Step-by-step explanation:

We have the following info given from the problem

X_1 =31 number of people killed with occupants not wering seat belts

n_1 = 2823 number of people not wearing seat belts

\hat p_1 =\frac{31}{2823}=0.0110 represent the estimated proportion of people killed not wearing seatbelts

X_2 =16 number of people killed with occupants using wering seat belts

n_2 = 7765 number of people using wearing seat belts

\hat p_2 =\frac{16}{7765}=0.00206 represent the estimated proportion of people killed  wearing seatbelts

We want to check if seat belts are effective in reducing fatalities, so we want to test the following system of hypothesis:

Null hypothesis: p_2 \geq p_1

Alternative hypothesis: p_2

The statistic for this case is given by:

z = \frac{\hat p_2 -\hat p_1}{\sqrt{\frac{\hat p_1 (1-\hat p_1)}{n_1} +\hat p_2 (1-\hat p_2)}{n_2}}}

And replacing we got:

z = \frac{0.00206 -0.0110}{\sqrt{\frac{0.00206*(1-0.00206)}{7765} +\frac{0.0110*(1-0.0110)}{2823}}}= -4.405

Now we can find the p value since we are using a left tailed test the p value would be:

p_v = P(z

Since the p value is very low compared to the significance level of 0.05 we have enough evidence to reject the null hypothesis and then the best conclusion would be:

B) Since p <a, we conclude that this data shows that seat belts are effective in reducing fatalities.  

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