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3 years ago

A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.

Step-by-step explanation:

An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.

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Step-by-step explanation:

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3 years ago

At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the piz

lys-0071 [83]

Answer:

There were 5 toppings on his pizza.

Step-by-step explanation:

From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:

c=17.50+2.35x, where:

c is the total cost

x is the number of toppings

Now, you can replace the total cost with $29.25 and solve for x:

29.25=17.50+2.35x

29.25-17.50=2.35x

11.75=2.35x

x=11.75/2.35

x=5

According to this, the answer is that there were 5 toppings on his pizza.

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3 years ago

A student placement center has requests from five students for interviews regarding employment with a particular consulting firm

bagirrra123 [75]

Answer: a) 1 / 10

b) 3 / 10

c) 1 / 5

d) 3 / 5

Step-by-step explanation:

Total number of requests five students for interviews regarding employment with the consulting firm = 5

Number of students that are maths majors = 3

Probability of selecting a maths student is 3 / 5

Number of students that are statistics majors = 2

Probability of selecting a statistics student is 2 / 5

a) the probability that both selected students are statistics majors

= 2 / 5 × 1 / 4 = 2 / 20 = 1 / 10

b) the probability that both students are math majors

= 3 / 5 × 2 / 4 = 6 / 20 = 3 / 10

c) the probability that at least one of the students selected is a statistics major will be p( one statistics and the other, maths) + p( one maths and the other, statistic) - p( both are mathematics)

= (2 / 5 × 1 / 4 ) + ( 2 / 5 × 3 / 4 ) - (3 / 5 × 2 / 4)

= 2 / 10 + 6 / 20 - 6 / 20

= 1 / 5 + 3 / 10 - 3 / 10

= 1 / 5

d) the probability that the selected students have different majors is p(one is maths and the other is statistics) + p(one is statistics and the other is maths)

(3 / 5 × 2 / 4) + (2 /5 × 3 / 4)

= 6 / 20 + 6 / 20 = 12 / 20

= 3 / 5

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4 years ago