Answer:
15
Step-by-step explanation:
10x+4=9x+19
x+4=19
x=15
10. 8x+4y=4. y=mx+b
-8x. -8x
4y=-8x+4
÷4. ÷4. ÷4
y = -2x +1
slope = -2. y-int= 1
11. slope is changing y over changing x
m = (y2 -y1)/(x2-x1) (0,-1) x1 = 0, y1=-1
(-4-(-1))/(-2-0) (-2,-4) x2 = -2, y2 = -4
(-4 + 1) / (-2)
-3/-2 = 3/2 answer is 3/2
12. b because negative cause it flip in x axis and it become flatter because of the fraction.
13. 2y =8-8x
÷2. ÷2 ÷2
y = 4 - 4x
Answer A
14. B
Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.
Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.
In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.
Each piece will be the same length. We can convert 5 1/2 into an improper fraction. 5 1/2 = 11 / 2 Divide 66 by this improper fraction. 66 / (11 / 2) When we divide by a fraction, we multiply by the reciprocal of that fraction. 66 * (2 / 11) = 2 * 6 = 12 12 pieces can be cut.
A) (2+6) x (6+3) = 72 in^2
b) width: 6 + 2 = 8
length: 6 + 3 = 9
Because the green part is a square, so the width is just 6 in plus 2 in.
Now, we also know the height of the blue rectangle, 8 in.
The area of the blue rectangle is 24in^2 --> 24/8 = 3. The width of the blue rectangle is 3in.
3 + 6 is the length of the entire figure