Attached
Step-by-step explanation:
From the question x is the number of stools and y is the number of recliners
Given that the coffee shop can hold no more than 50, then the inequality for number of seats will be;
x+y≤ 50
Also, the owner wants at least 20 of the seats to be stools, this can be written as;
x≥20
Using a graph tool to visualize the inequalities, you get the attached graph;
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Inequalities graph : brainly.com/question/11234618
Keyword : graph, inequalities
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Answer:
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
Step-by-step explanation:
The interpretation of a confidence interval of level x% means that we are x% sure that the interval contains the true mean of the population.
In this problem, we have that:
The population are all the cell phone users.
The 95% confidence interval is (73.1%, 76.9%).
Which of the following is an appropriate interpretation of the 95% confidence interval?
D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.
Answer:
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Step-by-step explanation:
According to the question,
Madera, a middle school student, received some phone calls on one Saturday from 10 a.m. to 10 p.m.
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have:
. Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.
Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold
A.
ABA and AB
A look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.
So in this case the formula would be
. We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!
Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.
