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4 years ago

WILL GIVE BRANLIEST Find the value of each trigonometric radio.

Mathematics

1 answer:

Arisa [49]4 years ago

4 0

8)
cos Z = 16/20 = 4/5

9)
tan Z = 7/24

10)
tan C = 27 / 36 = 3/4

11)
sin C = 24/30 = 4/5

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Estimate the number of DVDs that will be checked out for every 100 patrons.

anastassius [24]

The number of DVDs that will be checked out for every 100 patrons will be 20.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

$X \sim B(n,p)$

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The expected value of X will be:

$E(X) = np\\$

The information is given in the table.

The probability of getting DVDs will be

$\rm p = \dfrac{2}{10}\\\\p=2$

The value of n is 100.

Then the number of DVDs that will be checked out for every 100 patrons will be

$\rm E(X) = 100 \times 0.2\\\\E(X) = 20$

Learn more about binomial distribution here:

brainly.com/question/13609688

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5 0

2 years ago

What is the inverse of the function H(x)=3/4x+12

Mrac [35]

Answer:

$h^{-1}$ (x) = $\frac{4x-48}{3}$

Step-by-step explanation:

let y = h(x) and rearrange making x the subject, that is

y = $\frac{3}{4}$ x + 12 ( multiply through by 4 to clear the fraction )

4y = 3x + 48 ( subtract 48 from both sides )

4y - 48 = 3x ( divide both sides by 3 )

$\frac{4y-48}{3}$ = x

Change y back into terms of x, thus

$h^{-1}$ (x) = $\frac{4x-48}{3}$

3 0

4 years ago

number 3 says,"If u and v are the measures of complementary angles such that sin u =2/5 and tan v =(square root of 21) 21/2, lab

vodomira [7]

Answer and Explanation:

Using trig ratios, we can express the given values of sin u and tan v as shown below

$\begin{gathered} \sin u=\frac{opposite\text{ of angle u}}{\text{hypotenuse}}=\frac{2}{5} \\ \tan v=\frac{opposite\text{ of angle v}}{\text{hypotenuse}}=\sqrt[]{21} \end{gathered}$

So we can go ahead and label the sides of the triangle as shown below;

We can find the value of u as shown below;