<span>p=210e^(0.0069*20)
'e' is a mathematical constant equal to 2.718281828459
</span>
<span>0.0069*20 = .138
e^.138 =
</span>
<span>2.718281828459^.138 =
</span>
<span>
<span>
<span>
1.1479755503
</span>
</span>
</span>
210 * <span>1.1479755503 =
</span>
<span>
<span>
<span>
241.074865563
</span>
</span>
</span>
That would be 314 because 100xpi
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:
Step-by-step explanation:
x+10=0
x=-10
so vertex is (-10,-105)
