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san4es73 [151]
3 years ago
9

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Remember the rule: 5, 12, 13

To prove this rule: Use the equation a² + b² = c²; where as a & b = shorter side, and c is the hypotenuse (longest).

Solve. Let a = x, b = 12, c = 13

a² + b² = c²

(x)² + (12)² = (13)²

Simplify

x² + 144 = 169

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

x² + 144 (-144) = 169 (-144)

x² = 169 - 144

x² = 25

Isolate the x. Root both sides

x² = 25

√(x²) = √(25)

x = √25 = √(5 * 5) = 5

5 is your answer for x

~

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Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

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Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

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The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

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The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

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