The formula for a vertex form equation is
in which (h,k) represents the vertex
Your equation is in vertex form, if you mpve the -7 to the other side you will get
because you have to add 7 to both sides
based on the equation,
h=10
k=7
(h,k)=(10,7)
your vertex is (10,7)
Answer: 52.38%
Step-by-step explanation:
11 out of 21
11/21
.5238
52.38%
Given Information:
Population mean = p = 60% = 0.60
Population size = N = 7400
Sample size = n = 50
Required Information:
Sample mean = μ = ?
standard deviation = σ = ?
Answer:
Sample mean = μ = 0.60
standard deviation = σ = 0.069
Step-by-step explanation:
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
50*0.60 ≥ 10
30 ≥ 10 (satisfied)
n(1 - p) ≥ 10
50(1 - 0.60) ≥ 10
50(0.40) ≥ 10
20 ≥ 10 (satisfied)
The mean of the sampling distribution will be same as population mean that is
Sample mean = p = μ = 0.60
The standard deviation for this sampling distribution is given by
Where p is the population mean that is proportion of female students and n is the sample size.
Therefore, the standard deviation of the sampling distribution is 0.069.
Answer:
h(x) = (x+2) ^2 -2x -3
Step-by-step explanation:
If we have to shift 2 units left the we have to replace x by x+2 i.e
h(x) = (x+2)^2-2(x+2)+1
= (x+2)^2 -2x-4 +1
= (x+2)^2 -2x -3
Step-by-step explanation:
One way
x3 + 11x2 - 3x - 33
x2(x + 11) - 3(x + 11)
(x + 11) (x2 - 3) are the factors
