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3 years ago

The hypotenuse of a right triangle is 65 cm, if one of its sides is 25 cm, find the length of the other side and it's perimeter

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

Other side = 60

Perimeter = 150

Step-by-step explanation:

Using Hypothenuse formula

25²+B²=65²

625+B²=4225

B²=4225-425

B²=3600 (Bring Square to the other side to become Square root)

B=√(3600)

B=60

Perimeter:(Sum of all side)

60+65+25

150

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What is 862,840 rounded to

aliya0001 [1]

862,840 is rounded to 900,000

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3 years ago

The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution 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.

The probability that a certain hockey team will win any given game is 0.3723

So $p = 0.3723$

12 games in November

So $n = 12$

What is the probability that the hockey team wins 6 games in November?

This is $P(X = 6)$

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

$P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505$

0.1505 = 15.05% probability that the hockey team wins 6 games in November

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3 years ago

How do you graph the function f(x)=−1/4x−2?

Georgia [21]

Welll the y-intercept is negative 2 so on the y axis the first point is negative 2. 1/4 is the rise over run so you would go up from your first point one unit and over to the left four units or vise versa down one unit and over to the right four units, or the image