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yaroslaw [1]
3 years ago
5

A grab bag contains 4 football cards and 6 basketball cards. An experiment consists of taking one card out of the bag, replacing

it, and then selecting another card. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.
Mathematics
2 answers:
Zinaida [17]3 years ago
5 0
Total Number of cards = 4 + 6 = 10
Number of Football cards = 4
Number of Basketball cards = 6

Probability of choosing a football card = 4/10 = 0.4
Since this card is replaced, the total number of cards will remain the same.

Probability of selecting a basketball card = 6/10 = 0.6

Since, the two events are independent, the probability of selecting a football and a basketball card will be the product of two probabilities we calculated. 

Thus, probability of selecting a football card and then a basketball card = 0.4 x 0.6 = 0.24
Sonja [21]3 years ago
4 0

Answer:

0.24

Step-by-step explanation:

6/10 - baseball cards

4/10 - football cards

6/10 = 0.6

4/10 = 0.4

0.6 X 0.4 = 0.24

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use distance formula

6 0
2 years ago
If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
QveST [7]

Answer: $0.58

<u>Step-by-step explanation:</u>

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   <u>-21x - 7y</u> =<u> -6.65 </u>

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8 0
3 years ago
Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin
Brums [2.3K]

There are 25 $10 bills and 11 $20 bills.

Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

x be the number of $10 bills

y be the number of $20 bills.

According to given situation;

10x+20y=470       Eqn 1

x = y+14                Eqn 2

Putting value of x from Eqn 2 in Eqn 1

10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330

Dividing both sides by 30

\frac{30y}{30}=\frac{330}{30}\\y=11

Putting y=11 in Eqn 2

x=11+14\\x=25

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/1279756
  • brainly.com/question/1284310

#LearnwithBrainly

5 0
3 years ago
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Answer:

The diver will take 2.449 seconds to enter the water.

Step-by-step explanation:

We have been given that quadratic equation for the diver jumps is

h=-16t^2+96

We have to find the time taken for the diver to enter the water. When the diver enters the water, the height becomes zero.

0=-16t^2+96\\\\16t^2=96\\\\t^2=6\\\\t=\sqrt6\\\\t=2.449\text{ seconds}

Therefore, the diver will take 2.449 seconds to enter the water.

4 0
3 years ago
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Ainat [17]

Answer:

9/4

Step-by-step explanation:

y2 - y1 / x2 - x1 = 6 - (-3) / 2 - (-2) = 9/4

4 0
2 years ago
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