The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Answer:
Option B) Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 333
p = 48% = 0.48
Alpha, α = 0.01
Number of women belonging to union , x = 149
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.273079
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to support the claim that proportion of homes in Oregon that were heated by natural gas is different from what was reported.
B. Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
Since u have to multiply 2 by m to get 1/8, in order to figure out what "m" is, do teh opposite, divide 1/8 by 2. and that is equal to 0.0625
Answer:
x>±4
x<±1
Step-by-step explanation:
Given the inequalities
x² > 16
Square root both sides
√x² > ±√16
x > ±4
The solution is x>±4
2) x² < 1
Square root both sides
√x² <±√1
x < ±1
Hence the solution is x<±1
