five note cards each contain a different single-digit numbers.The cards are arranged to find the largest possible 5-digit number
1 answer:
Solution: The largest number is 86521, the smallest number is 12568 and the sum of digits is 22.
Explanation:
Let the digits on cards be a, b, c, d and e. where because if the smallest digit is 0, then we get a four digit number on rearrangement.
To get the five digit greatest number we have to arrange these digits in descending order. So the greatest number is abcde.
To get the five digit greatest number we have to arrange these digits in descending order. So the smallest number is edcba.
It is given that the sum of greatest and smallest number is 99089.
When we add greatest and smallest number we noticed that the sum of c and c is 2c which is equal to 0. It is possible if c=0 or c=5. since c>0, therefore the value of c=5.
So the from the addition of unit digits we get e+a=9, there are many possibilities to get the sum 9 like 1+8, 2+7 and 3+6 because a>5 and e<5 since we have to find the greatest and smallest number so by hidden trial the value of e=1 and a=8. Similarly d+b=8, b>5 and d<5 by hidden trial the value of b=2 and d=6.
The digits are 8, 6, 5, 2 and 1, therefore largest number is 86521, the smallest number is 12568 and the sum of digits is 22.
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Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
a_n = 2.2 + 0.6 n
a_50 = 32.2
Step-by-step explanation:
What's the common difference of this series?
Common difference = .
Expression for the nth term:
n = 50 for the fiftieth term. Therefore
.
Answer:
Step-by-step explanation:
Let x be the number of adult tickets and y be the number of children's tickets.
We are given that there are total 12 people. Therefore, we can set:
Moreover, we are given that an adult ticket costs $21.50 and a child's ticket costs $14.75, therefore, cost of x adult tickets will be and cost of y children's ticket will be
. We can form the second equation by setting the total cost of tickets as:
Therefore, the required system of equations that could be used to find x and y will be: