Answer:
The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.
Step-by-step explanation:
We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.
Let X = <u><em>heights of 18-year-old men.</em></u>
So, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean height = 68 inches
= standard deviation = 3 inches
Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)
P(X > 65 inches) = P(
>
) = P(Z > -1) = P(Z < 1)
= <u>0.8413</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.
Answer:
x = 1
Step-by-step explanation:
f(x) = 3x + 3
f(x) = 6
=> 3x + 3 = 6
=> 3x = 3
=> x = 1
Answer:
the y intercept is -3
Step-by-step explanation:
if you need an explanation lmk!
Answer:
x=0
y= -1
Step-by-step explanation:
x−2y=2 - eq 1
3x+2y=−2 - eq 2
x−2y=2
(3x+2y)+(x−2y)=−2+2
x−2y=2
3x+2y+x−2y=0
x=0
y= -1
Answer:
the answer is x^12
Step-by-step explanation:
multiply 3 by 4 and you get 12