Answer:
25%
Step-by-step explanation:
16% answered "local government" to question 2.
9% answered "private donations" to question 2.
So the probability that a randomly selected response is either "local government" or "private donations" is 16% + 9% = 25%.
Answer:
The value of x = 6
Step-by-step explanation:
Given
To determine
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
here:
so substitute (x₁, y₁) = (x, -4)
, (x₂, y₂) = (2, 8) and m = -3
m = [y₂ - y₁] / [x₂ - x₁]
-3 = [8 - (-4)] / [2 - x]
-3 = [12] / [2-x]
-3 (2-x) = 12
-6+3x = 12
3x = 12+6
3x = 18
divide both sides by 3
3x/3 = 18/3
x = 6
Therefore, the value of x = 6
Answer:
Step-by-step explanation:
The answer is $11.55 for the week.
1) Since 1 watt is 0.001 kilowatts, 1500 watts is 1.5 kilowatts.
2) Multiply that by 7 for the week and that equals 10.5.
3) It takes her 10 minutes each day, so it takes 70 minutes per week, that is also 1.1 hours.
4) Multiply 10.5 kilowatts by 1.1 hours and you get 11.55.
5) The answer is $11.55 per week to dry Lisa's hair.
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
Answer:
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