Answer:
Vertex: (-1/2, -25/4)
Focus: (-1/2, -6)
Axis of Symmetry: x=-1/2
Directrix: y=-13/2
Step-by-step explanation:
x = -2, -1, -1/2, 1, 2
y = -4, -6, -25/4, -4, 0
Answer:
x =9
Step-by-step explanation:
-5x = -45
Divide both sides by -5:
x = 9
Answer:
0.83,0.50
Step-by-step explanation:
Since there are 2 digits in 83, the very last digit is the "100th" decimal place.
So we can just say that .83 is the same as 83/100.
So your final answer is: .83 can be written as the fraction
Perimeter = 2L + 2W
Perimeter = 2(4x^2) + 2(y^2)
Perimeter = 8x^2 + 2y^2
x^2 - 7x^2 = -6x^2
-3x - -2x = -3x +2x = -x
8 - -1 = 8+1 = 9
Answer = -6x^2 -x + 9
9x^2 -4x - 3x^2 -2x
9x^2 - 3x^2 = 6x^2
-4x - -2x = -4x +2x = -2x
Answer = 6x^2 -2x
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12
For the alternative hypothesis,
µ < 12
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 12 minutes
x = 8 minutes
σ = 12 minutes
n = 36
z = (8 - 12)/(12/√36) = - 4/2 = - 2
Test statistic = - 2
