At a local coffee shop, 10% of customers order decaf coffee and 30% are students. Given that 5% of students order decaf coffee, what is the probability that a randomly selected customer is a student AND orders decaf coffee? Round to 3 decimal places.

0.015

Step-by-step explanation:

We know that 30% of the customers are students, and 5% of these students order decaf coffee, so we can say that 5% of that 30% (=1.5%) is the percentage of customers that are students and order decaf coffee.

So, the probability of randomly selecting a customer that is a student and orders decaf coffee is 1.5% = 0.015

The percentage of customers that order decaf coffee (10%) is not applied in this solution, as we can have the percentage of students that order decaf coffee just using the percentage of customers that are students, and the percentage of students that order decaf coffee.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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