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3 years ago

Please help me solve this correct answer gets brainlist

Mathematics

2 answers:

julia-pushkina [17]3 years ago

8 0

Answer:

hyp²= opp² + adj²

hyp²= 12² +4²

hyp²= 144+16

hyp²=160

hyp=√160

hyp= 4√10

cricket20 [7]3 years ago

6 0

Answer: $\sqrt160$ or 12.449

Step-by-step explanation:

4 $pythagorean theorem = a^{2} \\ + b^{2} = c^{2} 4^{2} + 12^{2} \\ 16+ 144= 160\\\\\sqrt{160}$

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3 years ago

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Which of the following is a perfect square trinomial?

shutvik [7]

Answer:

Step-by-step explanation:

Take a look at what happens when squaring either of these...

$(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\$

Notice a couple of patterns.

1. The last term has a positive coefficient. That rules out answer choices C and D.

2. The coefficient of the middle term is either $+2ab \text{ or } -2ab$ . So what are a and b? a is the square root of the x^2 term and b is the square root of the y^2 term.

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The middle coefficient needs to be either +30 or -30. The answer is choice A.

5 0

3 years ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

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

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

3 years ago

there were three full pizzas sitting on the counter. if joe ate 1/4 of a pizza,rhoda at 3/8 of a pizza,and chris ate 4 slices, h

IrinaK [193]

ANSWER:
15 SLICES

Explanation:
Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.
2+3+4= 9.
There are 3 pizzas divided into 8 slices per pizza.
3 x 8 = 24 ; 24 SLICES TOTAL
Subtract 9 (that’s what was consumed) from 24.
24-9 = 15 ; 15 SLICES LEFT OVER

pls mark brainliest hehe

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3 years ago