If seven consecutive numbers equal to 182, which one is the smallest?
2 answers:
Answer:
23.
Step-by-step explanation:
My assumption: You mean when you add the numbers, they equal 182.
Let be the smallest number. Then we are asked to solve the following equation:
Rearranging the equation gives us:
7x + 21 = 182 => x + 3 = 26 => x = 23.
So the smallest number is 23 (since our assumption was that x is the smallest number.
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You could very well have stated that x was the middle number as a lot of cancellations would occur. That is:
(x - 3) + (x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x - 3) = 182.
7x = 182 => x = 26 so the smallest would be 26 - 3 = 23.
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Answer:
The other factor is 5x-2
Step-by-step explanation:
Using the factorisation method:
Two numbers that multiply to give -10 and add to give +3:
+5 and -2
So the other factor is 5x-2
I'm not sure about the second part of the question but I hope you understood how to deal with the first part.
Answer:
55.32% probability that a late package was delivered by express delivery service 2
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Late delivery.
Event B: Service 2 was used.
A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.
100 - 35 = 65%.
So
Service 2 has a record of 2.0% of packages being delivered late.
This means that
Probability of a late delivery.
35% from service 1. Of those, 3% are late.
65% from service 2. Of those, 2% are late.
So
What is the probability that a late package was delivered by express delivery service 2
55.32% probability that a late package was delivered by express delivery service 2