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
Answer:
556.2% change
Step-by-step explanation:
Percentage change = (p2-p1)/p1 * 100%
= (58.99 - 8.99) / 8.99 * 100%
= 556.2% change
Mark brainliest if this helped
Mark brainliest if this helped
Answer:
12 feet
Step-by-step explanation:
Given in the question,
horizontal distance from sister to rock wall = 5.5 feet
diagonal distance from sister to rock wall's peak = 13.42 feet
<h3>
To find the height </h3>
As we know this figure make a right angle triangle, so we will apply pythagorus theorem
hypotenuse² = height² + base²
13.42² = height² + 5.5²
13.42² - 5.5² = height²
149.85 = height²
height = √149.85
height = 12.24 feet
Approximate height of her rock wall to the nearest tenth = 12 feet
You'll need to create two equations and have a 'system of equations' then use direct substitution to turn the equation into one. Whichever equation is easiest to solve for x or y. Solve that one for x or y and plug the result in for the variable in the other equation. Then you will have an equation with only 1 unknown.
I think the answer is 1/12 im not sure i hope this helps tho ∩_∩❤️
