Answer:
(y+b)/a = x
Step-by-step explanation:
y = ax − b
Add b to each side
y+b = ax − b+b
y+b =ax
Divide each side by a
(y+b)/a = ax/a
(y+b)/a = x
Answer:
205.3 pounds
Step-by-step explanation:
<span>The regular octagon has rotational symmetry. Since it is comprised of 8 "equal parts", divide 360º/8 to determine the smallest angle of rotation. 360º/8 = 45º. </span>
Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is where and are the sample proportion and sample size of the first sample, and and are the sample proportion and sample size of the second sample.
We see that and . We also know that a 98% confidence level corresponds to a critical value of , so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
Answer:
<em>84%</em><em> of the wage earners earn less than $14,000 each. </em>
Step-by-step explanation:
The Empirical Rule (68-95-99.7%)-
According to this around 95% of the data will fall within two standard deviations of the mean.
As the bell curve is symmetrical, so the remaining 5% will be divided into 2 equal parts. So 2.5% will be above 2 standard deviation and 2.5% will be below 2 standard deviation.
As it is given that, the top 2.5% of the wage earners earn $18,000 or more, so 18,000 is 2 standard deviation away from the mean 10,000.
i.e
We know that,
where,
X = raw score = 14,000
μ = 10,000
σ = 4,000
Putting the values,
Now, calculating the value from the z score table,
As the probability at is the area below that, so 84% of the wage earners earn less than $14,000 each.