Answer:
11 * 11 * 11
Step-by-step explanation:
11^3 is the same thing as 11*11*11
Welming's spending is $1164.8 and his savings is $291.2
<h3>How to determine the savings and the spending?</h3>
The given parameters are:
Weekly pocket = $28
Save = 20%
There are 52 weeks in a year.
So, the yearly pocket is:
Yearly pocket = $28 * 52
Evaluate
Yearly pocket = $1456
He saves 20%.
So, we have:
Savings = 20% * $1456
Evaluate
Savings = $291.2
His spending is then calculated as:
Spending = $1456 - $291.2
Evaluate
Spending = $1164.8
Hence, Welming's spending is $1164.8 and his savings is $291.2
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The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
<h3>How to find the z score (z statistic) for the sample mean?</h3>
If we're given that:
- Sample mean =
- Sample size = n
- Population mean =
- Sample standard deviation = s
Then, we get:

If the sample standard deviation is not given, then we can estimate it(in some cases) by:

where
population standard deviation
For this case, we're specified that:
- Sample mean =
= 2.3 - Sample size = n = 15
- Population mean =
= 2.7 - Population standard deviation =
= 0.4
Thus, the value of the z-statistic is evaluated as:

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
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1) 6/14 divide by 2 = 3/7
2) 9/12 divide by 3 = 3/4
3) 15/25 divide by 5 = 3/5
Answer:
(4,5)
Step-by-step explanation:
Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)
If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown
New position = (12, -5) + (-8,10)
New position = (12-8, -5+10)
New position = (4, 5)
Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)