Answer:
The 95% confidence interval for the population mean is between 77.5 and 85.5
Step-by-step explanation:
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 81.5 - 4 = 77.5.
The upper end of the interval is the sample mean added to M. So it is 81.5 + 4 = 85.5
The 95% confidence interval for the population mean is between 77.5 and 85.5
Step-by-step explanation:
Probability is the ratio between number of successes to all events.
Probability = success / events
Odds are the ratio between number of successes to number of failures.
Odds = success / failure
If event A has a probability of 0.98, then there are 98 successes per 100 events, which means there are 98 successes per 2 failures. The odds of event A are 98/2 = 49/1.
If event B has a probability of 0.95, then there are 95 successes per 100 events, which means there are 95 successes per 5 failures. The odds of event B are 95/5 = 19/1.
The odds are relatively far apart compared to the probabilities. They make it seem that event A is much more likely than B, when in reality they have about the same probability.
Answer:
9
Step-by-step explanation:
f(-2)= -6(-2)-3=9
After you (correctly) answered part-2, you knew the total bill . . .
(13.75 + 5%) + 15% on top of that.
(13.75) + (0.69) + (2.17) = $16.60 .
If they split the bill equally, each would pay (1/2) (16.60) = $8.30 .
But Arif wants to pay $3 more than Keisha.
Just take $1.50 away from Keisha's half (leave $6.80),
and add it on to Arif's half (make it $9.80). Then their
total is the same, but his share is $3 more than her share.
$9.80 + $6.80 = $16.60
$ 9.80 - $6.80 = $ 3.00 .
She may have eaten 2/3 of the pizza, as she ate more than 1/3.