The equation in slope intercept form for the line with slope 3 and Y intercept -1 is y = 3x -1 .
First, make the mixed fraction into improper fraction,
x−12=54
Add 1/2 on both sides
x−12+12=54+12
Find LCM,
LCM is 4
x=54+1⋅22⋅2
x=54+24
Add
x=74
Or,
x=134
Or,
x=1.75
X=1.75 IS YOUR ANSWER!
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Answer: it would cost a total of $194
Step-by-step explanation:
A ticket to a movie theatre for a student is $7. The cost for an adult is $2 more than for a student.
If student ticket costs $x, adult ticket would cost x + 2
This means that the cost for an adult is
7 + 2 = $9
The cost of 13 adult tickets to the movie theatre would be
13 × 9 = $117.
The cost of 11 student tickets to the movie theatre would be
11 × 7 = $77
Total cost of 13 adult tickets and 11 student tickets would be
117 + 77 = $194
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Answer:
A. Yes, the result is a binomial probability distribution.
Step-by-step explanation:
The experiment above depicts a binomial probability distribution because the 4 required conditions are met :
1.) The distribution is independent as the possible outcome of each trial is the same.
2.) There are two possible categories and the result of each trial is one of two outcomes : Yes or No
3.) The number of observation is fixed at sample size of 5500
4.) The probability of success and failure of each trial is the same for all trials in the sample.
Hence, we can conclude that the experiment depicts a binomial probability distribution.
