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gayaneshka [121]
1 year ago
13

Three times the difference between t and y"

Mathematics
1 answer:
Harlamova29_29 [7]1 year ago
8 0

Answer: 3(t-y)

Step-by-step explanation:

The term difference refers to subtraction, so that means t-y in parenthesis since you would have to solve that first.

Then after you'd solve that, then you would multiply it by 3

Hope I helped :)

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Answer:

\boxed{\sf B)\: x=\sqrt{17}}

Step-by-step explanation:

<u>Use the Pythagorean Theorem</u>

The equation for the Pythagorean Theorem is \tt a^2+b^2=c^2

* a and b are the lengths of the legs, and c is the hypotenuse.*

(To know which side is the hypotenuse look at longest side which is across the right angle).

a= x, b=8, c=9

\sf a^2+b^2=c^2

Let's Plug in the side lengths:

\sf x^2+8^2=9^2

Evaluate 8^2 and 9^2:

\sf x^2+64=81

Subtract 64 from both sides:

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Take the square root of both sides:

\sf x=\sqrt{17}

___________________________

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Answer:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

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Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

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