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Reptile [31]
3 years ago
6

The legs of a right triangle are 3 and 8 centimeters long, respectively. What is the length of the hypotenuse? If necessary, rou

nd your answer to two decimal places.
Mathematics
1 answer:
vredina [299]3 years ago
3 0
The Equation for this is A squared plus B squared equals C squared. So this would become 3 squared (9) plus 8 squared (64) equals your <span>hypotenuse squared. When you add these together you get 73. You then must find the square root of 73 which is 8.5. The length of the </span><span>hypotenuse is 8.5.</span>
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A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th
baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
If 10 mm = 1 cm, how many millimeters are in 22 centimeters?<br><br> Group of answer choices
san4es73 [151]

Answer:

220 millimeters

Step-by-step explanation:

If you take 22 cm * 10mm/1cm you get 220 mm

Please rate!

6 0
2 years ago
How many laps per minute <br><br> Minutes 0246<br> Laps 0 1 2 3
Annette [7]
So each lap is about 10 minutes witch makes it possible to be 5
4 0
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There are 24 muffins in a bakery. If 3/8 of the muffins are blueberry, how many muffins are blueberry?
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Answer:

9

Step-by-step explanation:

3/8 = 0.375

0.375(24) = 9

5 0
3 years ago
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Y=3/5 +2 plot the slope of the line
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The slope is equal to ³/₅.

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