We can use the tangent function to find the value of angle C.
tan ∠C = 29/38
tan ∠C = <span>0.76315789473
Now we will do inverse of tangent on both sides.
</span>∠C ≈ 37°
<span>
Hope this helps :)</span>
108 / 1376 is the probability that a student participates in both sports and music.
<u>Step-by-step explanation:</u>
It is given that,
A suburban high school has a population of 1376 students.
- Let the event A be the no.of students participated in sports.
- Let the event B be the no.of students participated in music.
The number of students who participate in sports is 649.
The number of students who participate in music is 433.
<u>To find the probability of event A (sports) :</u>
P(sports) = No.of students participated in sports / Total students.
⇒ 649 / 1376
∴ P(A) = 649 / 1376
<u>To find the probability of event B (music) :</u>
P(music) = No.of students participated in music / Total students.
⇒ 433 / 1376
∴ P(B) = 443 / 1376
From the question, we know that the probability that a student participates in either sports or music is 974 /1376.
∴ P(A∪B) = 974 / 1376
<u>To find the probability that a student participates in both sports and music :</u>
The formula used here is,
P(A∩B) = P(A) + P(B) - P(A∪B)
⇒ 649 / 1376 + 433 / 1376 - 974 /1376
⇒ 108 / 1376
∴ P(A∩B) = 108 / 1376
Answer:
Step-by-step explanation: concert to Fractions. 22/4 - 19/4 = 3/4
Answer:
The approximate population of the state of California in 2010 was
Step-by-step explanation:
Let
x----->the estimated population of Los Angeles in 2010
y----->the estimated population of the state of California in 2010
we know that
------> equation A
we have

Substitute the value of x in the equation A and solve for y