The correct answer is letter A
We are given function f(a) = 1.07a for total amount including sales tax.
g(b) = b+50 total cost including delivery.
We need to write function g(f(a)).
g(f(a)) = g of f(a).
We need to substitute function f(a) in g(b) function for b.
g(f(a)) = g(1.07a) = 1.07a +50.
<h3>Therefore, g(f(a)) = 1.07a +50.</h3>
We are given mattress price a = $1125.
In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.
Plugging a= $1125, we get
g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.
<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
Answer:
x = 10
Step-by-step explanation:
(3x)/2 = 15 is your question.
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).
First, multiply 2 to both sides
((3x)/2) = (15)(2)
3x = (15)(2)
3x = 30
Next, to isolate the variable (x), divide 3 from both sides
(3x)/3 = (30)/3
x = 30/3
x = 10
x = 10 is your answer
~
The answer is see you happy new year
Answer:
Upper P60 = 212.8
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find Upper P 60, the score which separates the lower 60% from the top 40%.
This is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255.
Upper P60 = 212.8
