Answer:
105°
Step-by-step explanation:
Measure of the third angle
= 180° - 18° - 57° (angle sum of triangle)
= 105°
Answer:
Step-by-step explanation:
3.14*10*(10+24^2+10^2 squared)
31.4*5870 squared
31.4*76.62
240.5554
I don't know if this is right
Answer:
The sum of f(2) and g(-3) is -7.
Step-by-step explanation:
f(x) = 3x - 2
f(2) = 3(2)-2
f(2) = 6 -2 = 4
g(x) = 4x + 1
g(-3) = 4(-3) +1
g(-3) = -12 + 1 = -11
f(2) + g(-3) = 4 + (-11)
f(2) + g(-3) = -7
Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.
Explanation:
Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:
![SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08](https://tex.z-dn.net/?f=%20SE%3D%5Cfrac%7B0.8%7D%7B%5Csqrt%7B100%7D%7D%3D%5Cfrac%7B0.8%7D%7B10%7D%20%3D%200.08%20%20%20%20)
So, Standard Error is 0.08 million or $80,000.
Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.
![\frac{1 - 1.5}{0.08}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20-%201.5%7D%7B0.08%7D%20%20)
![=-6.250](https://tex.z-dn.net/?f=%20%3D-6.250%20)
-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.
Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.