Answer:
-4c² + 4c +6
Step-by-step explanation:
combine like terms
2+ 4 = 6
7c - 3c = 4c
- 4c
Hope this helps!
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:
y = -6x - 6
Step-by-step explanation:
<u>First, subtract 12x from both sides:</u>
12x + 2y = -12
-12x -12x
-----------------------
2y = -12x - 12
<u>Divide both sides by 2:</u>
y = -6x - 6
Let's break down each part of this question into math symbols. It's cooler to think of it like one of those codes they make you crack in primary school.
Three: 3
Times: * (multiplication)
A number: x
Less two: –2
Is greater than: >
Two: 2
No more than: <
Seven: 7
So 3*x–2>2
But also
3*x–2<7
Solving the first equation, add two to both sides:
3x>4
Divide both sides by 3:
X>4/3 (4/3 is about 1.33)
Solving the second equation, add two to both sides:
3x<9
Divide both sides by 3:
x<3
So the number we want is bigger than 1.33 but less than 3 which makes the answer:
2
Hope that helped! :)