37.9 equals 30+7+.9 you should try to put in number form so you know what you're dealing with
Answer:
RP: x equals 0
JH: x equals -11
EG: x equals 9
Answer:
Step-by-step explanation:
In the table, you have an x column and a y column. To find values in the table, you choose your values of x and plug them in as your values of x in the equation, solving for y.
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:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The given function is f(x) = -0.1·cos(x) - 4
The parent cosine function is cos(x)
Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;
The negative sign in the function gives a reflection across the x-axis
The 0.1 factor of the cosine function gives a compression of 0.1
The constant -4, gives a vertical translation 4 units down
Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.
