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2 years ago

Find out if the lengths form a right triangle

Mathematics

1 answer:

Mila [183]2 years ago

3 0

Answer:

The triangle is a right triangle.

Step-by-step explanation:

Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

$a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256$

Therefore, the triangle is right.

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In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?

kakasveta [241]

The area of a Square is 144 because 12x12 is 144 and if both sides are 12 then that equals 144.

Hope this helps!

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3 years ago

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Which of the following is true about the function shown below?

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Answer:

Step-by-step explanation:

d is true

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3 years ago

A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If

musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

The claim is that the proportion of viewers that prefer the new show is bigger than 50% (meaning that most viewers prefer the new show).

The null hypothesis will state that both shows have the same proportion.

Then, the null and alternative hypothesis are:

$H_0: \pi\leq0.50\\\\H_a: \pi>0.5$

The sample proportion is p=0.53

$p=X/n=438/827=0.53$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.5*0.5}{827}}= 0.017$

Then, the z-statistic can be calculated as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.50-0.5/827}{0.017}=\dfrac{ 0.029 }{0.017} =1.706$

The critical value for a right tailed test at a significance level of 0.10 is zc=1.282. This value can be looked up in a standard normal distribution table.

As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

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3 years ago

Animal A and Animal B each have 95% of their DNAin common. Animal A and Animal C each have 50% of their DNA in common. What does

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A is probably much more related to B than to C

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9 please help with 9 <br><br> 10 what is P

LenaWriter [7]

Answer:

The probabilities are the same

10.

1/3

Step-by-step explanation:

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

The probability of getting tails in a single toss is, P(T) = 1/2

Now, P(H,H,H) is the probability of obtaining 3 heads in the e tosses. Since each toss is independent of the others,;

P(H,H,H) = P(H)*P(H)*P(H)

= 1/2 * 1/2 * 1/2 = 1/8

On the other hand, P(H,T,H) is the probability of obtaining a head followed by a tail followed by a final head. Using the independence property;

P(H,T,H) = P(H)*P(T)*P(H)

= 1/2 * 1/2 * 1/2 = 1/8

Therefore, P(H,H,H) = P(H,T,H)

10.

We are informed that a coin is tossed and a number cube is rolled. We are to determine the following probability;

P(heads, a number less than 5)

Assuming the coin is fair;

The probability of getting heads in a single toss is, P(H) = 1/2

Assuming the number cube is fair as well, the probability of rolling a number less than 5 is;

4/6 = 2/3

This is because there are 4 numbers less than 5, (1, 2, 3, 4) while the cube has 6 sides.

P(heads, a number less than 5), the events presented here are independent since the outcome from tossing the coin does not in any way determine the outcome from rolling the number cube. Therefore,;

P(heads, a number less than 5) = P(heads)*P(a number less than 5)

= 1/2 * 2/3 = 1/3

3 0

3 years ago

Find out if the lengths form a right triangle ​

Find out if the lengths form a right triangle