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.
Volume of a cylinder is 62.8 cm cubed. Hope this helps!
2. 2 increasing
3. Y=-x +9 decreasing
4. 2 increasing
5. 6 increasing
6. Y=-3x+1 decreasing
The slope of the line between the points On the line would be -1. And the y intercept would be 1.
Y = -x + 1.
We know that 70% of all comic book fans are male, and that 40% of Company A fans are male.
Since 25% of all comic book fans are company A fans:
0.4 * 0.25 (meaning 40% of 25%) = 0.1, or 10% of all comic book fans are male company A fans.
What percentage, then, of male comic book fans are company A fans?
0.1 ÷ 0.7 = 0.142
We divide 10%, the percentage of all comic book fans that are male and company A fans, by the percentage of comic book fans that are male, since we are given that the fan is male.
Answer is 0.14
