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3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Mathematics

2 answers:

Westkost [7]3 years ago

7 0

Answer:

The answer to your question is QS = 5

Step-by-step explanation:

Data

hypotenuse = RQ = 8

angle = 39°

Opposite side = QS = ?

To solve this problem use trigonometric functions. The trigonometric function that relates the opposite side to hypotenuse is sine.

sin α = $\frac{opposite side}{hypotenuse}$

Solve for opposite side

Opposite side = hypotenuse x sin α

Substitution

Opposite side = 8 sin 39

Simplification

Opposite side = 8(0.63)

Result

Opposite side = 5.0

Levart [38]3 years ago

6 0

Answer: QS= 4.93

Step-by-step explanation: because they’re asking you to find QS which is opposite to your angle 39and we have the hypotenuse so we can use sine(39)=x/8.

Sin(39)=x/8

Multiply eight both side

8(sin(39))=x

4.93=x

X=4.93

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irakobra [83]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6

SIZIF [17.4K]

Answer:

Probability of rolling at least 4 sixes is 0.01696.

Step-by-step explanation:

We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......$

where, n = number trials (samples) taken = 6 trials

r = number of success = at least 4

p = probability of success which in our question is probability of

rolling a “six", i.e; p = 0.20

Let X = Number of sixes on a die

So, X ~ Binom(n = 6, p = 0.20)

Now, Probability of rolling at least 4 sixes is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = P(X = 4) + P(X = 5) + P(X = 6)

= $\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}$