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3 years ago

A 30° -60° – 90° triangle is shown below. Find the length of the hypotenuse.

Mathematics

1 answer:

Leno4ka [110]3 years ago

4 0

Answer:

I think it's 10 because the 30 60 90 triangle rule is x, x sqrt 3, 2x. The 5 matches the x side and the hypotenuse is 2x so 10.

Step-by-step explanation:

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Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c

antoniya [11.8K]

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

3 0

3 years ago

A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The

Mama L [17]

Answer:

The required probability is $\dfrac{1}{12}$ .

Step-by-step explanation:

Let A be the event of rolling the number cube.

Let B be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are 12 here.

$\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}$

where H means Head on toss of coin and T means Tails on toss of coin.

Formula for probability of an event E is:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are 1 and total cases are 12.

$\Rightarrow P(E) = \dfrac{1}{12}$

6 0

3 years ago

The box plots show the data distributions for the number of text messages Will and Jaime sent each day.What is the difference of

Softa [21]

Hey there!

You can find the medians by referring to the line in the middle of both of the boxes. These indicate the median of the sets of data you have. The first median is at 10 and the other is at 12.

All you need to do to find the difference is subtract the smaller number from the bigger number.

12 – 10 = 2

Your difference will be 2, making your second option your answer. Hope this helped you out! :-)

4 0

3 years ago

Read 2 more answers

Find the value of x A- 6 B-5 C-4 D-10

Snezhnost [94]

Answer:

x=4

Step-by-step explanation:

In triangle MLK