Answer:
15/17
Step-by-step explanation:
SOH-CAH-TOA
Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.
Y=mx+b
-2= -8(7)+b
-2= -56+b
54=b
The answer is:
y= -8x+54
Salaries are normally distributed
Average salary per hour: $6.50 ⇒ μ=$6.50
σ=$0.45 (Standard deviation)
Probability that the selected worker will earn $6.75:
P(x>6.75)
Now you must standardize the normal random variables:
If x~N (μσ²) => Z=(x-μ)/σ
Z=(6.75-6.50)/0.45
Z=0.556 => P(Z>0.556)= ? (To find this probability, you must use the tables for Standard normal distribution).
Then:
P(Z>0.556)=0.2877
The probability of selecting a worker who earns more than $ 6.75 is 28.7%