The answer is 35.08. she will have 35.08 yards of cloth left.
Answer:
Set of hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20.5 oz
Sample mean,
= 20.4 oz
Sample size, n = 50
Population standard deviation, σ = 2.25 oz
First, we design the null and the alternate hypothesis
We use One-tailed z test(left tailed) to perform this hypothesis.
Formula:
Putting all the values, we have
Based on the significance level, we can make our decision and complete the hypothesis testing.
We may accept the null hypothesis or fail to accept depending on different significance level.

The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0


Now plug in 2 for x and check

So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of 
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
A rigid transformation is one that does not change the dimensions of a figure. So translations, rotations, and reflections.