Answer:
Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Step-by-step explanation:
To yield a more accurate estimate of the population mean, margin of error should be minimized.
margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level(z-score or t-score)
- s is the standard deviation of the sample (or of the population if it is known)
for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.
Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.
Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Two vertical angles are formed. These angles are also equal to each other.
Answer:
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula
. Substitute the x and y values of the given points into the formula and solve:

Thus, the slope is
.
2) Now, use the point-slope formula
to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for
,
, and
.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

Answer: 250 cameras; $10,000 spent; 15,000 made
Step-by-step explanation:
1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.
2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!
3) How much money has been spent? 40x250= $10000 spent.
4) How much money has been made? 60x250= $15000 made.
<em>Hope this helps!</em>