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bulgar [2K]
3 years ago
5

Dori charges 60 customers £1 to play a game. The probability of a customer winning is 0.35 and the prize is £2. How many of the

60 customers can Dori expect to win and how much profit will Dori make?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

21 people will win, so the profit will be £18

Step-by-step explanation:

0.35 x 60 = 21

21 x 2 = 42 (the amount of money to give away to prize winners)

If 60 people enter, she has £60. Subtracting £42 in winning payouts from this leaves her with a £18 profit.

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Someone please help!
DochEvi [55]

Answer: 62cm^2

Step-by-step explanation: 70-8=62

7 0
3 years ago
In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha
Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

                                     = 0.98757

P(Recognize Amazon) ≅ 0.988

The probability that a randomly selected consumer will recognize Amazon is 0.988.

7 0
2 years ago
How many pounds of each kind of candy (hard at $2 per pound, and soft at $4 per pound) must be mixed to
Reil [10]

Answer:

30 pounds of hard candy and 30 pouonds of soft candy

Step-by-step explanation:

$2 per pound added with $4 per pound would become $3 per pound

x pounds plus 60 - x pounds will add up to 60 pounds

(multiply the top with the bottom)

2x + 4x = 3(60)

6x = 180

x = 30

60 - 30 = 30

6 0
3 years ago
Use the diagrams below to derive the formula for the volume of a hemisphere.
Zigmanuir [339]

Answer:

2/3 \pir²

Step-by-step explanation:

5 0
3 years ago
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches
harkovskaia [24]

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

4 0
2 years ago
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