Answer:
y= 0 and y = 3
Step-by-step explanation:
Answer:
2962
Step-by-step explanation:
2 8 8 8
+ 7 4
----------------
2 9 6 2
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
#3 is he got extra rolls just in case in ran out of it or he made mistake on the math
For this case, the first thing we must do is define variables.
We have then:
x: number of years
y: total salary
For company 1 we have:
For company 2 we have:
By the time both salaries are equal we have:
From here, we clear the value of x.
We have then:
Answer:
Brenda's salary would be the same with both companies in 8 years.
