Answer:
53
Step-by-step explanation:
when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have
(5) + 8(6)
after evaluating we come up with the answer 53
Answer:
−1.13348172≤x≤1.13348172
Step-by-step explanation:
For this problem
Add −5x2 to both sides of the inequality.
−x16 + 1 + 5x2≥0
Convert inequality to an equation.
−x16 + 1 + 5x2 = 0
Factor −x16 + 1 + 5x2
Set the factor equal to 00.
x16−5x2−1 = 0
x≈ − 1.13348172,1.13348172
so,
x≤ − 1,13348172
−1.13348172≤x≤1.13348172
x≥1.13348172
−1.13348172≤x≤1.13348172
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425



has a pvalue of 0.7088
X = 325



has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Let the original price of the sweater be = X
Then the amount Jerome pays for the sweater after 20% discount = X - (20X/100)
= X - 0.2X
= 0.8X
Now on this price the 8.25% tax needs to be added to get to the amount actually paid by Jerome.
So,
0.8X + [(8.25/100) * (0.8X) = 25.1
This is the equation from which the actual price of the sweater bought by Jerome can be determined.
So
0.8X + [(.0825) * ( 0.8X) = 25.1
0.8X + 0.066X = 25.1
0.866X = 25.1
X = 25.1/0.866
= 28.98
So the actual price of the sweater is $28.98.
Answer:
The first one. Top left.
Step-by-step explanation:
The top right one makes a triangular prism.
I don't even know if the bottom right is even a thing.
The bottom left is a cube.