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3 years ago

-8 and 8 are ___; they are both 8 away from zero.

Mathematics

1 answer:

Archy [21]3 years ago

4 0

Two numbers that are the same distance from zero are called opposites.

-8 and 8 are Opposites.

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Evaluate the expression.<br> (5+9÷3)2

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The answer to the equation is 16

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What is the constant of proportionality, y/x

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1/2

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-1.78 – (-0.42) = x

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Answer: x = - 1,36

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-1.78 – (-0.42) = x

-1.78 + 0.42 = x

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use the picture to write each ratio as a simplified fraction (how are you going to find the length of the third side?) show your

Butoxors [25]

Answer:

<h3>See below</h3>

Step-by-step explanation:

to figure out the ratios we must figure out the length of <u>hypotenuse</u> first to do so we can consider <u>Pythagoras</u><u> theorem</u> given by

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

$\displaystyle \implies c = \sqrt{ {a}^{2} + {b}^{2} }$

substitute:

$\displaystyle c = \sqrt{ {12}^{2} + {9}^{2} }$

simplify squares:

$\displaystyle c = \sqrt{ 225 }$

simplify square root:

$\displaystyle c = 15$

now recall that,

$\displaystyle \sin( \theta) = \frac{opp}{hypo}$
$\displaystyle\cos( \theta) = \frac{adj}{hypo}$
$\displaystyle \tan( \theta) = \frac{opp}{adj}$

the ratios with respect to angle w given by

$\displaystyle \sin( W) = \frac{12}{15} = \frac{4}{5}$
$\displaystyle \cos(W) = \frac{9}{15} = \frac{3}{5}$
$\displaystyle \tan( W) = \frac{12}{9} = \frac{4}{3}$

the following ratio with respect to angle X

$\displaystyle \sin(X) = \frac{9}{15} = \frac{3}{5}$
$\displaystyle \cos(X) = \frac{12}{15} = \frac{4}{5}$
$\displaystyle \tan( X) = \frac{9}{12} = \frac{3}{4}$

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3 years ago

A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exa

aleksley [76]

Answer:

$P(X=3)$

And we can use the probability mas function and we got:

$P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

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

$X \sim Binom(n=9, p=0.51)$