The mean of all the data will be equal to 8.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data. Mean is generally the average it is calculated by adding all the data and dividing by the number of the data.
Given that a basketball team played six games. In those games, the team won by 8 points, lost by 14, won by 9, won by 10, lost by 1, and won by 6.
The mean of the data will be calculated as:-
Mean = ( 8 + 14 + 9 + 10 + 1 + 6 ) / 6
Mean = 8
Therefore, the mean of all the data will be equal to 8.
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Answer:
An employee's score in order to qualify for increase in the salary must be higher than 95.45.
Step-by-step explanation:
Let X represent the performance score of employees.
It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.
It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.
That is, the probability to qualify for increase in the salary is,
P (X > x) = 0.08
⇒ P (X < x) = 0.92
⇒ P (Z < z) = 0.92
The corresponding z-value is,
z = 1.40
Compute the value of x as follows:
Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.
What equals y?
B.5.0m/s
C.10m/s
D.15m/s
The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.
Given that, a vehicle designed to operate on a drag strip accelerates from zero to 30m/s while undergoing a straight line path displacement of 45m.
Acceleration is the name we give to any process where the velocity changes. Since velocity is a speed and a direction, there are only two ways for you to accelerate: change your speed or change your direction-or change both.
Here, Δx = 45 m, v₀ = 0 m/s and v = 30 m/s
Using the formula v² = v₀² + 2aΔx
(30 m/s)² = (0 m/s)² + 2b (45 m)
b = 10 m/s
The vehicle's acceleration if its value may b assumed to be constant is 10 m/s. Therefore, option C is the correct answer.
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Answer:
C. 10 m/s²
Step-by-step explanation:
Given:
Δx = 45 m
v₀ = 0 m/s
v = 30 m/s
Find: a
v² = v₀² + 2aΔx
(30 m/s)² = (0 m/s)² + 2a (45 m)
a = 10 m/s²
Answer:
No. Southwest flights did not arrive on time.
Step-by-step explanation:
Please see attachment
Please show solving
The inverse function theorem says
We have
defined on , for which we get
and
The derivative of is
So we end up with