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3 years ago

What is the length of the hypotenuse for a right triangle with legs of length 6 and 8?

Mathematics

1 answer:

Vlad [161]3 years ago

6 0

Answer:

hyp = sqRoot(6^2 + 8^2) = sqRoot(100) = 10

Step-by-step explanation:

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The number that is multiplied by a power of 10 in scientific notation must be in between 1 and 10

vazorg [7]

Answer:

Thats false

Step-by-step explanation:

When you multiply by a power your basically multiplying that number b itself 10x except for 1

4 0

3 years ago

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

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.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

Explain and show plz

STALIN [3.7K]

C,D and F are correct.

C is what you would think of when reading it, you walked 12 and walked 1/4(12) more.

12 + 12(1/4) =

12 + 3 =

D is equal to C when simplified,

12(1+1/4) =

12 + 3 =

F is the same as the D, it just simplified the numbers in the parenthesis

12(1+1/4) =

12(4/4 + 1/4) =

12(5/4) =

8 0

3 years ago

Read 2 more answers

Count by fives from 135!to 175 describe the pattern

irina1246 [14]

5 10 15 20 25 30 35 40 45 50 55 60 64 70 75 80 85 90 95 100, 105 110 115 120 125 130 (135) 150 155 160 165 170 (175)
Five multiplied each number.

Hope I helped!

-RainyClouds~

5 0

3 years ago

Data management:<br><br> Find n if <br><br> C ( n+ 2 , 2 ) = 36

Lana71 [14]

Please, Karla, explain what "C" and "n" represent. Are you talking about combinations (for example, n+2 objects taken n at a time? Or is C some kind of function? I don't quite see the relationship of this problem to 'data management.'

3 0

3 years ago