Answer:
P(X > 112) = 0.21186.
Step-by-step explanation:
We are given that the random variable X is normally distributed, with mean 
= 100 and standard deviation 
= 15.
Let X = <u><em>a random variable</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, = population mean = 100
= standard deviaton = 15
Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)
P(X > 112) = P( > 
) = P(Z > 0.80) = 1- P(Z 
0.80)
= 1 - 0.78814 = <u>0.21186</u>
The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.
To "break even" means that the costs are equal to the money made, so profit would have to be 0. Therefore, we can rewrite the equation to be
0 = x3 -4x2 +5x -20
From here, all you have to do is factor to be able to solve for the values of x
First, since the first two numbers both have an x2, we can factor that out
x2(x-4) + 5x -20 = 0
The next two can factor out a 5
x2(x-4) + 5(x-4) =0
Since both of these terms share an (x-4), they can be factored to become:
(x-4) (x2 +5) = 0
So now we just solve for x, and get x = 4, and +- (sqrt) 5i
Since 4 is the only answer present in the options (and since 5i is a non-real number), the answer would be 4
ANS: D
Hope this helped ^-^
The answers 1, 2, 5, and 6
The solution to the given equation is 4 and -4.
<h3>What is a fraction?</h3>
Fractions are the numerical values that are a part of the whole.
A whole can be an object or a group of objects.
The given equation is;
A fraction is used to represent the portion/part of the whole thing.
The solution of the fraction is determined in the following steps given below.
Hence the solution to the given equation is 4 and -4.
Learn more about fractions here;
brainly.com/question/17431959
Answer:
option d: 25% unfavorable
Step-by-step explanation:
The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.
The amount spent more than the budget was:
50 - 40 = 10
Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)
Percent of variance = 10 / 40 = 0.25 = 25%
So the answer is 25% unfavorable, option d
