Answer:
a = 2x, b = 3.
Step-by-step explanation:
8x^3+27 = (2x)^3 + 3^3
a = 2x and b = 3.
We can cube root 8x^3 getting 2x and cube root 27 getting 3.
Answer:
16
Step-by-step explanation:
6.9-(-5)+4.1
When we subtract negatives, it is like adding positives
6.9 +(5)+4.1
11.9 + 4.1
16
Answer:
The standard deviation of number of hours worked per week for these workers is 3.91.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem we have that:
The average number of hours worked per week is 43.4, so .
Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.
This means that the Z score of has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use .
The standard deviation of number of hours worked per week for these workers is 3.91.
Answer:
0.10
Step-by-step explanation:
If together the ball and bat cost $1.10 and the bat cost one more dollar than the ball than you would have too subtract $1 from what the ball and bat together. so 0.10 would be left
Hey there! :)
Answer:
y = 11.
Step-by-step explanation:
Set both of the equations equal:
5x - 9 = x² - 3x + 7
Rearrange the equation:
0 = x² - 3x - 5x + 9 + 7
Combine like terms:
0 = x² - 8x + 16
Factor:
0 = (x -4)²
Solve for x:
0 = x - 4
x = 4.
Plug this into an equation to solve for 'y':
y = 5(4) - 9
y = 20 - 9
y = 11.