Answer:
f(g(x)) = 6x3 + 4 dollar/hour Answer is D
Step-by-step explanation:
Got it right on the test so yea.
Using the Empirical Rule, it is found that the desired probabilities are given as follows.
a) P(x > 158) = 0.16.
b) P(149 < x < 152) = 0.135.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Additionally, considering the symmetry of the normal distribution, 50% of the measures are below the mean and 50% are above.
Item a:
158 is one standard deviation above the mean, hence the probability is given by, considering that 32% of the measures are more than 1 standard deviation from the mean:
P(x > 158) = 0.5 x 0.32 = 0.16.
Item b:
Between one and two standard deviations below the mean, hence:
P(149 < x < 152) = 0.5 x (0.95 - 0.68) = 0.5 x 0.27 = 0.135.
More can be learned about the Empirical Rule at brainly.com/question/24537145
Yes, Leonard did make an error
It should look like this:
-20x + 35 + 8 = 3x
Hope this helps!
Answer:
The numbers 4 and -4 are the same distance away from 0 on the number line. The number -63 is less than the number 4. The number -63 is further away from 0 than the number 4 on the number line
Answer:
The net force of the brick is 0N and the brick doesn't move
Step-by-step explanation:
Both forces have the same amounts being applied to on the brick, so the forces will cancel each other out and have no effect on the brick, so the brick won't move.
