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Sedbober [7]
3 years ago
8

A bag has 5 yellow marbles, 3 red marbles and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before a

nother is picked. How many times would Quinn expect to pick a blue marble if he picks a marble 200 times?
Mathematics
2 answers:
agasfer [191]3 years ago
6 0

Answer:

Quinn can expect to pick blue 40 times

Step-by-step explanation:

the probability of picking blue is stated as 2/10 which can be reduced to 1/5

multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)

200 x 1/5 = 200 / 5 = 40

Quinn can expect to pick blue 40 times

Ksju [112]3 years ago
3 0

Answer:40 blue marbles

Step-by-step explanation:

First find the probability of a blue marble

P (blue) = number of blue marbles / total marbles

            = 2 blue/ ( 5+3+2) total

             = 2/10

              =1/5

We can use this since we return the marble to the bag each time

We multiply this by 200 for the number of times it is picked

200 * 1/5 = 40

We should expect to pick 40 blue marbles

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2 years ago
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
3 years ago
Ur wrong its acutully 39.8 not 39.75 u came up with the wrong answer.
alukav5142 [94]
It is 39.8 your right
3 0
3 years ago
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