Answer:
The value of the test statistic is 
Step-by-step explanation:
The formula for the test statistic is:
In which X is the statistic, 
is the mean, 
is the standard deviation and n is the number of observations.
In this problem, we have that:
So
The value of the test statistic is
Answer: she scored 69 points on the second test.
Step-by-step explanation:
Let x represent the number of points that she scored in the first test.
Let y represent the number of points that she scored in the second test.
If her mean score was 75, it means that
(x + y)/2 = 75
x + y = 75 × 2
x + y = 150- - - - - - - - - 1
If she scored 12 points more on the first test than the second test, it means that
x = y + 12
Substituting x = y + 12 into equation 1, it becomes
y + 12 + y = 150
2y + 12 = 150
2y = 150 - 12
2y = 138
y = 138/2
y = 69
All triangles must equal 180°. So there you have a right angle which = 90° and a 25° angle. add those together to get 115°. Now do 180-115=65°. the missing angle is 65°.
Answer:
Carmen had the largest red to green apple ratio of 5 : 3
Step-by-step explanation:
Red apples : Green apples
Carmen = 20 red apples : 12 green apples
= 20 / 12
= 5 / 3 = 1.67
= 5 : 3
Dylan = 12 red apples : 10 green apples
= 12 / 10
= 6 / 5 = 1.2
= 6 : 5
Eli = 16 red apples : 20 green apples
= 16 / 20
= 4 / 5 = 0.8
= 4 : 5
Carmen had the largest red to green apple ratio of 5 : 3
Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.
Let us solve the inequality for x.
We have 17 is being subtracted in the middle.
Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get
175+17 ≤ 3x-17+17 ≤ 187+17
192 ≤ 3x ≤ 204.
Dividing by 3.
192/3 ≤ 3x/3 ≤ 204/3.
64 ≤ x ≤ 68.
Therefore, the height of the driver should be from 64 to 68 inches to fit into the race car.
