He is wrong.
The 10 inch cube is bigger than the 5 inch cube by 5 cm in EACH DIRECTION.
So, the 10 inch cube should be twice as big in volume by a factor of 2*2*2
=8
Okay let's see.
5 cm cube volume = 5*5*5 = 125 cc
10 cm cube volume = 10 * 10 * 10 = 1,000 cc
1,000 / 125 = 8
The given information is,
→ a = -8
→ b = -7
→ c = 6
Let's verify the problem,
→ (a+b) + c = a+ (b+c)
→ (-8 - 7) + 6 = -8 + (-7 + 6)
→ -15 + 6 = -8 - 1
→ -9 = -9
→ [ LHS = RHS ]
Hence, it is equal and verified.
Answer:
-0.20
Step-by-step explanation:
Given the data:
Age at auction (x) ____price sold (y)
391
51
32
84
47
104
88
43
470
51
Y:
76.9
95.4
86.3
49.3
80
57
47.8
80
70
86.9
General formula for a simple linear regression :
y = ab + c
Where ;
y = predicted variable ; a = slope / gradient
b = predictor / independent variable ; c = intercept
From the result obtained from the calculator :
y = -0.01246X + 74.65552
Correlation Coefficient is used to measure the strength of relationship between linear variables.
The regression Coefficient obtained is - 0.20
This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.
Answer:
x = -5
y = 2
Step-by-step explanation:
x = – 2y – 1
= -x - 2y - 1
-x - 2y = 1
x = – 5y + 5
= -x - 5y + 5
-x - 5y = -5
-x - 2y = 1
-x - 5y = -5
___________--
3y = 6
y = 6/3
<u>y = 2</u>
-x - 2y = 1
-x - 2(2) = 1
-x - 4 = 1
-x = 1 + 4
-x = 5
<u>x = -5</u>
Answer:
false
Step-by-step explanation:
(-7-2) > (6-14)
-7-2 = -9
6-14 = -8
-9 is not > -8, because -9 is farther to the left on a number line. So, this statement would be false.
