Answer: the standard hourly pay is $3.05
Step-by-step explanation:
Let x represent the standard hourly pay that he gets for the first 40 hours.
Therefore, the total amount that he gets for the first 40 hours of work in a given week is 40x.
At Dairy Queen, he earned double time for any hours worked over 40 in a given week. This means that the hourly rate is 2x
If during one week, he worked 51 hours, it means that the overtime is 51 - 40 = 11 hours
Total amount earned for overtime is
11 × 2x = 22x
If the total amount that he earned for the week is $189.10, then
40x + 22x = 189.1
62x = 189.1
x = 189.1/62 = 3.05
We can check each of these using the Pythagorean Theorem,

Option A:

.25 + 1.44 = 1.691.69 = 1.69
This option works
Option B

1 + 4 = 9
5 ≠ 9
This option does not work, but let's check the others to make sure
Option C:

36 + 64 = 100
100 = 100
This option works
Option D:

9 + 16 = 25
25 = 25
This option works
So, after doing the calculations, we see that option B does not work
Answer:
The proportion of the variability seen in math achievement that can be predicted by math attitude is 0.78, the same value as the correlation coefficient.
Step-by-step explanation:
The correlation coefficient r between this two variables is found to be 0.78.
This coefficient can be calculated as:

where SSY' is the sum of the squares deviation from the mean for the predicted value and SSY is the sum of the squares deviation from the mean for the criterion variable.
Then, the value of the coefficient r is giving the proportion of the variability seen in the criterion value Y that can be explained by the predictor variable X.
Answer:
See explaination for the details of the answer
Step-by-step explanation:
Defect per opportunity DPO = defects/ no. of opportunities = 2/25 = 0.08
Defect per million opportunities
DPMO = DPO * 1 million
DPMO = 0.08 * 1 million = 80,000
six sigma = 2.9, take the dpmo at higher level if not exact 80800 for 2.9
Answer:
What is the exact value of tan(−π4)? is 20