Answer:
Carla lives 16 miles from the Library.
The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given
Step-by-step explanation:
If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c" from her house to the Library is the distance we have to figure.
c² =a² + b²
c² = 10² + 24²
c² = 100 + 576
c² = 676
√c² = √676
c = 26 Carla lives 26 miles from the Library.
She would atleast have 30 friends
Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
Step-by-step explanation:
According to the empirical rule , 68% of the population falls within one standard deviations from the mean.
Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.
According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between
days and
days .
i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
Answer:
110 students
Step-by-step explanation:
The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

The number of students that have taken a course in either calculus or discrete mathematics is:

D + q = 35....d = 35 - q
0.10d + 0.25q = 6.50
0.10(35 - q) + 0.25q = 6.50
3.50 - 0.10q + 0.25q = 6.50
-0.10q + 0.25q = 6.50 - 3.50
0.15q = 3
q = 3 / 0.15
q = 20 <=== 20 quarters
d + q = 35
d + 20 = 35
d = 35 - 20
d = 15 <=== 15 dimes