Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
Answer:
8 x 8 x 8 x 8 = 4096
Step-by-step explanation:
Its an exponent which means you multiply 8 by itself 4 times to get 4096.
Answer:
Yes, 2 is a rational number.
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
