Answer:
65.3658 inches
Step-by-step explanation:
Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value
such that
, but,
, i.e.,
is the 76th percentile of the standard normal distribution. So,
,
. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.
Following the table and knowing that the total number of students interviewed were 158 ( we can see this by looking adding either the total number of upperclassment or adding the total number of people with jobs or no jobs, this value is at the bottom right of the table in the figure attached).
Recall that:

In the figure provided each of these terms is highlighted in a different color. To convert these values to their matching probabilities we have to divide each by the total number of students, this is due to the fact that the probability is the number of favorable cases (in this case a group matching the qualities we seek) divided by the total amount of cases ( that is the total number of people interviewed). In the figure the answer is provided. For the intersection of the two events we're looking for people that is both an undercalssman and also has a job.
Answer:
D
Step-by-step explanation:
To find the percentage we must first find the area of the circle:
We can find the radius of the circle using the distance formula;
⇒ 
⇒ 
⇒ 
Now we calculate the area;
⇒ 
⇒ 
⇒ 
To get the percentage we divide the area of the circle by the square’s are and multiply by 100;
⇒ 
⇒ 
Answer:
$22,510.96
Step-by-step explanation:
Final investment value
$22,510.96
Total interest earned
$7,510.96
Initial balance
$15,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
7%
Answer: The answer is 0.25 miles.
Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.
Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.
In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.
In 1 minute, distance travelled by my friend is

Therefore, distance travelled by my friend in 5 minutes will be

Thus, the answer is 0.25 miles.