Answer:
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Step-by-step explanation:
Given
Required
Determine the hourly rate
First, we need to determine the ice cream sold
Next, we calculate the hourly rate:
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Solve. y = -2x + 9 y= 4x – 3
1 answer:
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Answer:
The last table given See attached image)
Step-by-step explanation:
Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.
Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:
What was:
(20, $10) should now be ($10, 20)
(26, $6.25) should now be ($6.25, 26)
(35, $4) should now be ($4, 35)
This is exactly represented by the last table (see also image attached)
∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram
Let ,
1st∠ = (x + 18)°
2nd∠ = x°
3rd∠ = 4x°
so ,
substituting x = 12 at the place of x .
= x° + 18°
= 12° + 18 °
1st∠ = 30°
__________________________________
= x°
2nd∠ = 12°
__________________________________
= 4x°
= 4(12)°
3rd∠ = 48°
Answer:
The 99% confidence interval for the scores of men is (64.406,75.594).
The 99% confidence interval for the scores of women is (73.609,90.391).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.797.
For men:
Standard deviation of 10.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406
The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594
The 99% confidence interval for the scores of men is (64.406,75.594).
For women:
Standard deviation of 15.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609
The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391
The 99% confidence interval for the scores of women is (73.609,90.391).