Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete because the area of the parallelogram is missing. However, the following will guide you in answering the question</em>
Given
Required
Determine the Height
Area of a Parallelogram is:
Make Height the subject
Substitute 16 for Base
This implies that you divide the value of area by 16 to get the height of the parallelogram.
Take for instance;
The height would be
Or
The height would be
The factors are 6 and x + 5
To find the y-intercept, we set x=0 and solve for y.
Step-by-step explanation:
{(2)³}⁸×{(2)³}-⁵
2²⁴× 2-¹⁵
2²⁴-¹⁵. ( subtract 24 and 15)
2⁹= 512
So...
8×8×8= 512
hence
8³ Answer
Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
