Answer:
x=-12
Step-by-step explanation:
32+2x=6+x+14
2x-x=6+14-32
x=-12
ST=6
TU=-12+14=2
SU=6+2=8
Answer:
(-3.07, 11.07)
Step-by-step explanation:
Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.
Group Group One Group Two
Mean 300.00 296.00
SD 8.00 6.00
SEM 2.67 2.00
N 9 9
The mean of Group One minus Group Two equals 4.00
standard error of difference = 3.333
df = 16
t = 1.2000
Margin of error = 3.3333* t critical = 3.3333*2.121
95% confidence interval of this difference: From -3.07 to 11.07
Complete Question
The complete question is shown on the first uploaded image
Answer:
First Question
Option A is correct
Second Question
Option C is correct
Third Question

Fourth Question
So substituting for D in (ABC) D = I


This proof that ABC is invertible
Step-by-step explanation:
From the question we are told that
A , B and C are invertible which means that
exist
Now
From the question
(ABC) D = I
Where I is an identity matrix
Now when we multiply both sides by
we have


Now when we multiply both sides by
we have


Now when we multiply both sides by
we have



So substituting for D in the above equation


This proof that ABC is invertible
Since the equation is:
<span>P(x)=-5x^2+40x-300
Solving the equation by using the calculator, the values for x are:
x = 4.72
Therefore, the company must sell 8 items per week to maximize the profit.
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