Alice and Betsy agreed to meet at 3:00PM and o shopping in one of the 6 clothing stores in their hometown.. However, they forgot
to specify which store. If Alice and Betsy were both on time and each went to one of the 6 stores, find the number of ways in which they could miss each other.
1 answer:
They could miss each other 30 different ways. I solved this by drawing it out six different stores and making Alice and Betsy go to each one may different times. Example photo included for how I got the first five. Then I did the same thing, but switch A and B, counted that towards the total and continued the is drawing until all the possibilities were found.
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Answer:
The 98% confidence interval would be given by (0.326;0.354)
Step-by-step explanation:
1) Notation and definitions
number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
random sample taken
estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
2) Confidence interval
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 98% confidence interval would be given by (0.326;0.354)
Miles driven per hour is 60 miles per hour
Hours driven per mile is 0.01667 hours per mile
<em><u>Solution:</u></em>
Given that,
On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours
Therefore,
Miles driven = 210 miles
To find: miles driven per hour and the hours driven per mile
<h3><u>Miles driven per hour</u></h3>Thus both the miles driven per hour and the hours driven per mile are found
Answer:
The number of people, of the twelve, who will win a prize is 5.
Step-by-step explanation:
In a standard deck of cards there are 52 cards.
The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.
Each of the 12 people draws 2 cards from their standard deck of cards.
Compute the probability of selecting at least 1 diamond as follows:
P (At least 1 diamond) = 1 - P (No diamond)
The probability of selecting at least 1 diamond is 0.4412.
If a person draws at least 1 diamond he wins a prize.
The expected number of people who will win the prize is:
E (Wins a prize) = n × P (At least 1 diamond)
Thus, the number of people of the twelve who will win a prize is 5.