Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the true population mean textbook weight.
Number of sample, n = 22
Mean, u = 64 ounces
Standard deviation, s = 5.1 ounces
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
64 ± 1.645 × 5.1/√22
= 64 ± 1.645 × 1.087
= 64 ± 1.788
The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces
The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces
Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces
Answer:
Her initial position was:
-29ft
Where we use the minus sign because this is below the ocean's surface.
Now we also know that she keeps descending at a rate of -29ft per minute, then if she keeps descending for t minutes, her position will be:
P(x) = -29ft - 29ft/min*t
Now, we also know that she does not want to descend more than 81ft below the ocean's surface, then we have the inequality:
P(x) ≥ -81ft
-29ft - 29ft/min*t ≥ -81ft
Now let's isolate t in one side:
- 29ft/min*t ≥ -81ft + 29ft = -52 ft
- 29ft/min*t ≥-52 ft
t ≤ -52ft/(- 29ft/min) = 1.79 min
Then the maximum amount of time that she can keep descending is 1.79 minutes.
The survey sample includes residents of the neighboring city whose phone number is listed.
3.3 miles should be the answer
10 = 2.40 + .2x - take 2.4 from both sides
7.6 = .2x - take 2 from 7.6 for the tip
5.6 = .2x - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles
Answer:
-3.72 is rational because it ends at the hundredths place
Step-by-step explanation:
Rational. A rational number either terminates at a point or repeats in a pattern forever.
