Answer:
11 Square Units
Step-by-step explanation:
Let A be the area of the Rectangle
First statement: The area of the rectangle is increased by seven, we have :
A+7
Second Statement: Four less than twice the area of the rectangle
Twice the Area=2A
Four less = 2A-4
Therefore:
2A-4=A+7
Collecting like terms
2A-A =7+4
A=11
The area of the rectangle is 11 Square Units.
Answer:
(−0.103371 ; 0.063371) ;
No ;
( -0.0463642, 0.0063642)
Step-by-step explanation:
Shift 1:
Sample size, n1 = 30
Mean, m1 = 10.53 mm ; Standard deviation, s1 = 0.14mm
Shift 2:
Sample size, n2 = 25
Mean, m2 = 10.55 ; Standard deviation, s2 = 0.17
Mean difference ; μ1 - μ2
Zcritical at 95% confidence interval = 1.96
Using the relation :
(m1 - m2) ± Zcritical * (s1²/n1 + s2²/n2)
(10.53-10.55) ± 1.96*sqrt(0.14^2/30 + 0.17^2/25)
Lower boundary :
-0.02 - 0.0833710 = −0.103371
Upper boundary :
-0.02 + 0.0833710 = 0.063371
(−0.103371 ; 0.063371)
B.)
We cannot conclude that gasket from shift 2 are on average wider Than gasket from shift 1, since the interval contains 0.
C.)
For sample size :
n1 = 300 ; n2 = 250
(10.53-10.55) ± 1.96*sqrt(0.14^2/300 + 0.17^2/250)
Lower boundary :
-0.02 - 0.0263642 = −0.0463642
Upper boundary :
-0.02 + 0.0263642 = 0.0063642
( -0.0463642, 0.0063642)
If you know the formular a^3+b^3=(a+b)(a^2-ab+b^2), you can solve this problem.
8 is 2 cubed, so x^3+2^3=(x+2)(x^2-2x+4)
so the other quadratic factor is x^2-2x+4
Answer:
940
Step-by-step explanation:
The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).
Also the sales can be modeled by the help of a linear function as:
y = 0.94x + 12.5.
Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.
We know that for any linear function of the type:
y=mx+c
'm' represents the slope and 'c' represents the y-intercept of the line.
Hence, by looking at the equation we get:
m=0.94
but as the sales are multiplied by 1000.
Hence,
0.94×1000=$ 940.
Hence, the company's sales increase per month is:
$ 940
