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Natali [406]
3 years ago
9

Suppose that there is a coffee shop in an office(Which also has interns). It is observed that out of the people that visit the c

offee shop in a week 25% were female members, 40% were male members, 25% were female interns and 40% were male interns. These people are randomly asked about the coffee taste.
What is the probability that the first 6 people who are asked about the taste are all office members and not interns?
And what is the probability that the first intern that we talk to is a female?
Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0
The probability that the first 6 people who are asked that aren't interns is 35% 
The probability that the first intern that we talk to is a female is 25%
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4 years ago
A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes
s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

  Let x = number of large boxes

       y = number of small boxes

Now, "There are 110 boxes in all"    means    x + y = 110

Now, the pounds for each kind of box is:

    (pounds per box)*(number of boxes)

pounds for large boxes     +    pounds for small boxes      =    4200pounds

                 "the truck is carrying a total of 4200 pounds in boxes"

 

        (45)*(x)                   +              (30)*(y)                  = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second.  Let's solve for x:

   x = 110 - y          [from eq1]

 

    45(110-y) + 30y = 4200            [from eq2]

     4950 - 45y  + 30y= 4200         [distribute]

     4950 - 15y = 4200

      -15y = -750

         y = 50           [divide both sides by (-15)]

 

 There are 50 small boxes.

 

Put that value into either equation (now, which is easier?) to solve for x:

  x = 110 - y

  x = 110 - 50

  x = 60

 There are 60 large boxes.

Now, let's verify our solution:

 

Is   60+50= 110 ?       [eq1]

         110 = 110 ? yes!

Is  60(45) + 50(30) = 4125   ?

     2700 + 1500 = 4200 ?

       4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0
3 years ago
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Answer:

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= 3 3/5 yards

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3 years ago
During the first six months of operation, Abdoul's lemonade stand made a profit of $50 per month. In the next three months it ha
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profit, p = 6 × $50 = $300

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