Answer:
y
= −
5/
4
x − 7
Step-by-step explanation:
37* 4.75 =175.75
no overtime since there are no hours over 50
Answer: $175.75
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
Answer:
x= -40
Step-by-step explanation:
Cost
C(x)=1,600+20x
P(x)=100-x
Revenue=x*p(x)
=x*(100-x)
=100x-x^2
Cost=Revenue
1600+20x=100x-x^2
1600+20x-100x+x^2=0
1600-80x+x^2=0
Solve using quadratic formula
Formula where
a = 1, b = 80, and c = 1600
x=−b±√b2−4ac/2a
x=−80±√80^2−4(1)(1600) / 2(1)
x=−80±√6400−6400 / 2
x=−80±√0 / 2
The discriminant b^2−4ac=0
so, there is one real root.
x= −80/2
x= -40
Answer:
95% Confidence interval: (31.32%,47.04%)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 148
Number of people who sleep for 8 hours or longer, x = 58
95% Confidence interval:
Putting the values, we get:
(31.32%,47.04%) is the required 95% confidence interval.