Answer: x=10 in
Step-by-step explanation:
60=3*2*x
60=6*x
x=10 in
-0.5
Step-by-step explanation:
um bc it is the answer
When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.
A product is equal to zero whenever one of the factors is equal to zero.
That means that zeros of our functions are:
1)
2)
3)
The final answer is a. Function has zeros at (0, 1, -11).
Equation: <span> y+7=-2/5(x-10)
y + 7 = -2/5 x + 4
y = -2/5 x - 3
2/5x + y = -3
Multiply the equation with 5,
2x + 5y = -15
In short, Your Answer would be: </span>2x + 5y = -15<span>
Hope this helps!</span>
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
