Answer:
So, y = 2x + 7;
Then, 2x = 4( 2x + 7 ) - 16;
2x = 8x + 28 - 16;
2x = 8x + 12;
- 6x = 12;
x = - 2;
Then, y = 2· (-2) + 7;
y = - 4 + 7;
y = 3.
Step-by-step explanation:
Answer:
(a) The sample variance is 16.51
(a) The sample standard deviation is 4.06
Step-by-step explanation:
Given

Solving (a); The sample variance.
First, calculate the class midpoints.
This is the mean of the intervals.
i.e.





So, the table becomes:

Next, calculate the mean




Next, the sample variance is:

So, we have:



The sample standard deviation is:



Area of Big Rectangle Area of Small Rectangle
A = L x w A = L x w
= (25 + 2w)(10 + 2w) = 25 x 10
= 250 + 50w + 20w + 4w² = 250
Big - Small
74 = 250 + 70w + 4w² - 250
74 = 4w² + 70w
0 = 4w² + 70w - 74
= 2(2w² + 35w - 37)
= 2[2w² -2w | +37w - 37]
= 2[2w(w - 1) | +1(w - 1)]
= 2(2w + 1)(w - 1)
0 = 2 0 = 2w + 1 0 = w - 1
FALSE so disregard w = -1/2 w = 1
NEGATIVE so disregard
Answer: 1 meter
You can honestly find it your self your probably failing your class