Answer:
D(5,-8)
Step-by-step explanation:
The given point is (-3,-2)
When we reflect in the line y=k, we use the rule (x, 2k-y)
This implies that:
When we reflect in the line x=k, we use the rule
Now we have x=1
This implies that:
For question A it’s y= 2/7
For question B it’s y=8/7
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.
Answer:
120°
Step-by-step explanation:
angle T + 60°=180° [:. being linear pair ]
or , angle T = 180°-60°
or,angle T = 120°
Answer:
The sample size required is 2500.
Step-by-step explanation:
z-score:
In function of the margin of error M, the z-score is given by:
In this question, we have that:
So
The sample size required is 2500.
