Answer:
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Step-by-step explanation:
Sample size of 30 or larger, so we can use the normal distribution to find the confidence interval.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 71492 - 8 = 71484 km.
The upper end of the interval is the sample mean added to M. So it is 71492 + 8 = 71500 km.
The 93% confidence interval for the equatorial radius of Jupiter is between 71484 km and 71500 km.
Site B pays (y) dollars which is 40% of what site A pays for 5 photos (x) - hence
y=0.40*5
OR
40/100=>4/10=>2/5
2/5*5/1= y
Answer:
Jerome answered 88 questions correctly
Step-by-step explanation:
88% is the equivalent of 88 questions out of 100 in this scenario, also meaning he answered 12%, or 12 questions wrong.
Answer:
Step-by-step explanation:
Let the number of students be x
<u>Initial share was:</u>
<u>With the less students the share is:</u>
- 120 /(x - 8) = 120/x + 0.5
<u>Solve for x:</u>
- 120 /(x - 8) = 120/x + 0.5
- 120x = 120(x - 8) + 0.5x(x - 8)
- 120x = 120x - 960 + 0.5x² - 4x
- 0.5x² - 4x - 960 = 0
- x² - 8x - 1920 = 0
- x² - 8x + 16 = 1936
- (x - 8)² = 1936
- x - 8 = √1936
- x - 8 = 44
- x = 52
52 students