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victus00 [196]
3 years ago
10

Help please!!! A bag contains 50 marbles, 10 of which are blue, 8 are red, 20 are green, and 12 are purple. Marcie takes a marbl

e out of the bag, records the color, and returns it to the bag. How many red marbles should she expect after 500 trials?
A) 80
B) 100
C) 120
D) 200
Mathematics
2 answers:
Andru [333]3 years ago
5 0

Answer:

A


Step-by-step explanation:

We would need to multiply the number of trials (which is 500) by the probability of choosing a red in 1 try from the information given.


<em>There are 50 in total, and 8 of them are red, so:</em>

P(red) = \frac{8}{50}=0.16


<em>Now we multiply this with 500 to get:</em>

500*0.16=80


The correct answer is A.

Lerok [7]3 years ago
5 0

Answer:

Marcie should expect 80 red marbles. Correct answer is (A).

Step-by-step explanation:

First we need to calculate the probability of red marble to come from the bag of 50 marbles.

P=\frac{Favourable condition}{Total condition}

P=8/50

Now the chances of getting red marble after 500 trail is calcualted as

x=P*500

=(8/50)*500

=80

Therefore the correct answer is (A).

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The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts
elena-14-01-66 [18.8K]
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.

The total pounds is 50, therefore
x + y + z = 50                   (1)

The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340         (2)

There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10                         (3)

Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40                     (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310                (5)

From (4),
z = 40 - 2y          (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20

Answer:
Peanuts:     20 pounds
Cashews:   10 pounds
Brazil nuts: 20 pounds


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Step-by-step explanation:

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