Answer:
49.87% of the population has a heart rate between 68 and 77.
Step-by-step explanation:
We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.
Let X = <u><em>the data for the resting heart of adults</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 68 beats per minute
= standard deviation = 3 beats per minute
Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)
P(68 < X < 77) = P(X < 77) - P(X 
68)
P(X < 77) = P( < 
) = P(Z < 3) = 0.9987
P(X 68) = P( 
) = P(Z 0) = 0.50
The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.
Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%
Answer:
should be correct!
Step-by-step explanation:
Let x represent the number of grandstand seats on race track #2
The number of grandstand seats on race track #1 = 37,000 + 3x
Total number of seats together = 289,000
So, we can frame the equation as follows:
37,000 + 3x + x = 289,000
4x + 37,000 = 289,000
4x = 289,000-37,000 = 252,000
4x = 252,000
x = 252,000/4
x = 63,000
Number of seats on race track #2= x = 63,000 seats
Number of seats on race track #1 = 37000+3x = 37000+3*63000 = 226,000 seats
For the segment DE to be the midsegment of the triangle ABC, the point D must cut AB in two equal halves, and point E must cut AC in two equal halves as well, that way, DE touches both ends right in the middle
and that can only occur if AD is 4 (half of 8) and AE is 3 ( half of 6)
For number 14 she could fold the string in fours and for 13 it is 9
