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3 years ago

Which trig ratio should you use to find the given side?

Mathematics

1 answer:

Zigmanuir [339]3 years ago

4 0

Answer:

D. cosine

Step-by-step explanation:

As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.

In a right angle triangle, there is a formula as following:

<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>

In the figure, the point of angle B and length of hypotenuse AB are given.

We have to calculate x - length of the given side. As BC is the adjacent side of angle B

=> we can use the above formula to calculate x

So that we can use cosine

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Of the entering class at a college, 75% attended public high school, 15% attended private high school, and 10% were home s

poizon [28]

Answer:

a)- 0.7670

b)- 0.176

c)- 0.809

Step-by-step explanation:

Let us assume that,

P(A)= Attended Public School

=0.75

P(B)= Attended Private School

=0.15

P(C)= Attended Home School

=0.10

P(E)= Student made the Dean's list

Then,

P(E/A)= Probability of Student made the Dean's list given that he\she attended Public School = 0.18

P(E/B)= Probability of Student made the Dean's list given that he\she attended Private School = 0.16

P(E/C)= Probability of Student made the Dean's list given that he\she is from Home School = 0.17

a)- P(E)= Probability that Student made the Dean's List

= P(A) × P(E/A) + P(B) × P(E/B) + P(C) × P(E/C)

= 0.75 × 0.18 + 0.15 × 0.16 + 0.10 × 0.17

= 0.176

b)- P(A/E) = Probability that Student came from a Public high school, given that Student made the Dean's list

= [ P(E/A) × P(A) ] ÷ P(E)

= [ 0.18 × 0.75 ] ÷ 0.176

= 0.767

c)- P(C'/E') = Probability that Student was not home schooled, given that the Student did not make the Dean's list

= [ P(E'/C') × P(C') ] ÷ P(E')

= [ 0.741 × 0.90 ] ÷ 0.82 [∵P(E'/C')=P(A)×P(E'/A)+P(B)×P(E'/B)

= 0.75 × 0.82 + 0.15 × 0.84

= 0.741

= 0.809

8 0

4 years ago

Please help AND explain!

Len [333]

40 because of the constant rate

3 0

4 years ago

Which planet is the third farthest away from the sun? Uranus Jupiter Saturn Neptune

svet-max [94.6K]

Answer:

saturn

Step-by-step explanation:

it goes Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

8 0

3 years ago

Read 2 more answers

Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr

Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002$

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

8 0

2 years ago

A single die is rolled twice. Find the probability of getting a 2 the first time and a 6 the second time. Express the probabilit

myrzilka [38]

it would be 2/6 bc, one die, rolled twice, and landing on a 2 the first time and 6 the second time, is actually a 2/6 chance, you have 6 numbers, one die, two chances.

3 0

3 years ago

Read 2 more answers