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2 years ago

PLEASE HELP ME WITH NUMBER 1

Mathematics

2 answers:

LenaWriter [7]2 years ago

5 0

hyp*2 = opp*2 + adj*2

c*2 = a*2 + b*2

a*2 + b*2 = c*2

strojnjashka [21]2 years ago

5 0

Answer:

$a^{2}$ + $b^{2}$ = $c^{2}$

Step-by-step explanation:

Pythagorean Theorem

The proof is a little long, but you can check it out here:

https://www.mathsisfun.com/geometry/pythagorean-theorem-proof.html

Math is fun is a pretty useful website to help visualize mathematical concepts, enjoy!

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What is the inverse of the function? f(x) = 2x - 10?

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Answer:

Step-by-step explanation:

Let $f(x)=y$

y=2x-10

Switch x and y,

x=2y-10

x+10=2y

(x/2)+5=y

So $f^{-1}(x)=\frac{x}{2}+5$

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2 years ago

Write an equation in slope-intercept form for the line with slope and -intercept .

Mazyrski [523]

Answer:

y = $\frac{2}{5}$ x - 9

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2 years ago

The graph is of a polynomial function f(x) of degree 5 whose leading coefficient is 1. The graph is not drawn to scale. Use the

LUCKY_DIMON [66]

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<span>Hope this helps</span>

7 0

2 years ago

The term "freshman 15" refers to the claim that college students typically gain 15lbs during freshman year at college. Assume th

Viefleur [7K]

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

<h3>What is Probability ?</h3>

Probability is defined as the likeliness of an event to happen.

Let X be a random variable that shows the term "freshman 15" that claims that students typically gain 15lb during their freshman year at college.

It is given that

X follows is a normal distribution with a mean of 2.1 lb (μ) and a standard deviation (σ) of 10.8 lb.

Population Mean (μ) = 2.1

Population Standard Deviation (σ) = 10.8

We need to compute Pr(X≥15). The corresponding z-value needed to be computed is:

$\rm Z_{lower} = \dfrac{ X_1 -\mu }{\sigma}\\\\Z_{lower} = \dfrac{ 15-2.1 }{10.8}\\\\\\Z_{lower} = 1.19$

Then the probability is given as

$\rm Pr(X \geq 16 ) = Pr (\dfrac{X -21}{10.8} \geq \dfrac{15-21}{10.8})\\\\= Pr (Z \geq \dfrac{15-2.1}{10.8}\\\\= Pr (Z\geq 1.19)\\\\ = 0.1162$

Pr(X≥15)=0.1162. (11.6%)

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

To know more about Probability

brainly.com/question/11234923

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2 years ago

What is the length in feet of the base of the triangle?

worty [1.4K]

$\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ A=\frac{2}{5}\\ h=\frac{6}{5} \end{cases}\implies \cfrac{2}{5}=\cfrac{1}{2}b\left( \cfrac{6}{5} \right)\implies \cfrac{2}{5}=\cfrac{6b}{10}\implies \cfrac{2}{5}=\cfrac{3b}{5} \\\\\\ 10=15b\implies \stackrel{\textit{dividing both sides by 15}}{\cfrac{10}{15}=\cfrac{15b}{15}}\implies \cfrac{10}{15}=b\implies \cfrac{2}{3}=b$

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3 years ago