Answer:
The probability of finding a sample mean less than 18 hours is 0.0082
Step-by-step explanation:
To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).
Z-score can be calculated as follows:
z(18)=
where
- X is the sample mean (18 hours)
- M is the average hours dentists spend per week on fillings (20 hours)
- s is the standard deviation (10 hours)
- N is the sample size (144)
Putting the numbers, we get:
z(18)=
Using z- table we can find that P(z<z(18)) = 0.0082
Expected, are, was, arrive, got
Answer:
Option (C)
Step-by-step explanation:
We will apply the rules of transformations in this question.
Parent function of the given line in the graph is,
f(x) = mx
If the function is f'(x) = -mx
Then the line will be inverted of reflected across the x-axis.
If the function is g(x) = -mx - b
Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).
Answer:
x > -1
Step-by-step explanation:
-3x +8 < 11
Subtract 8 from each side
-3x +8-8 < 11-8
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
