Answer:
-4
Step-by-step explanation:
y=-4x-9
y=mx+b
m=slope
Answer:
f(12) = - 20
Step-by-step explanation:
To evaluate f(12), substitute x = 12 into f(x), that is
f(12) = - 2(12) + 4 = - 24 + 4 = - 20
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Answer:
2 21 degree angles
Step-by-step explanation:
An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:
180=138+2x
42=2x
21 degrees=x
Answer:
the surface area of the square pyramid is 576.66 cm^2
Step-by-step explanation:
The computation of the surface area of square pyramid is given below:
A = a^2 + 2a × √a^2 ÷ √4 + √h^2
where
a = 12 cm
h = 17 cm
Now put the value of a and h in the above formula
= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2
= 576.66 cm^2
hence, the surface area of the square pyramid is 576.66 cm^2
