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.
If Carly broke the record by 1.3 seconds and Carly's time was 55.7 the old record would be Carly's time plus 1.3 seconds for the time that Carly broke the record by, so... 57 seconds was the old record
<span>cylindrical vase
r=radius </span>cylinder=radius cone
h= height cylinder=height cone
Volume cylindrical vase (V1)= 63 cm³=pi*r² *h
cone
Volume cone (V2)=pi*r² *h
if radius cylinder=radius cone and height cylinder=height cone
then V1=V2
therefore
V2= 63 cm³
the answer is The volume of cone is 63 cm³
Answer:
a. 35 *gh or 35 gh
b. 60 *mn or 60 mn
Step-by-step explanation:
The fewest number of symbols and characters can be obtained by multiplying the constant numbers with the constant numbers and variables with the variables.
a. The co efficients 5 and 7 are multiplied to get 35 and g is multiplied with h to get gh. So the answer is 35*gh. It can be further simpliefied into 35 gh
b. The co efficients 3,4 and 5 are multiplied to get 60 and m is multiplied with n to get mn. The answer is 60* mn. On further simplificaation we get 60 mn.
It has to be 45 degrees pal
