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miskamm [114]
3 years ago
9

Box A contains 5 dark chocolates and

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

\frac{1}{3}

Step-by-step explanation:

The probability of picking box A;

P(A) = 1/2

Box A has 5 dark chocolates and 10 milk chocolates.

The probability of picking a milk chocolate from box A;

P(milk in A) = \frac{10}{15} = \frac{2}{3}

P(A) and P(milk in A) = \frac{1}{2} × \frac{2}{3} = \frac{1}{3}

strojnjashka [21]3 years ago
5 0
Answer=2/3 or 66.6%
Explanation:
Total number of milk chocolate in Box A = 10
Total number of dark chocolate in Box A = 5
Total number of chocolates = 15
So probability of choosing Milk chocolate =
10/15*100
=> 2/3*100
=66.66%
Hope this helps you
Please mark this as the brainliest


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Answer:

(a)

r\geq  5

r+y\leq 15

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(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

8r+12y\geq 120

The system of inequalities that represent this problem is therefore:

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

  • (5,10)
  • (5, 6.7)
  • (15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

  • At (5,10), Earning=(5X8)+(10X12)=40+120=$160
  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

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