Answer:
96 degrees
Step-by-step explanation:
The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.
Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:
x = 144-48
x = 96
Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.
Let x = random test value
We want to determine P(x>4).
Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667
From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0
Answer: The probability is 0.
14x Is the answer Because 7 times two is fourteen and plus four (X) would be sixteen then subtracted by two so it would be 14x
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)
Answer:
Number of catfish = 28
Step-by-step explanation:
Let the number of catfish = c
Number of angle fish = c + 6
Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24
Total fishes = 198
c + c + 6 + 4c + 24 = 198 {Combine like terms}
c + c +4c + 6 + 24 = 198
6c + 30 = 198 {Subtract 30 from both sides}
6c = 198 - 30
6c = 168
c = 168/6 {Divide both sides by 6}
c = 28
