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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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Two prisms are similar and their ratio of similarity is 3:8.
trapecia [35]

Answer:

8.63 square units

Step-by-step explanation:

you must set up a proportion.

3 x

- = -

8 23

after you set up that proportion, cross multiply to find x.

8x = 69

divide by 8

x = 8.625, rounded to 8.63

5 0
2 years ago
69 points!!!
Amiraneli [1.4K]

Answer:

C)  The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : x^{2}  + y^{2}  = 25\\2x  + y  = -5

from equation 2, we get   y = -5 - 2x .

Put the above value of y in the equation (1).

We get: x^{2}  + y^{2}  = 25  \implies x^{2}  + (-5-2x)^{2}  = 25

By ALGEBRAIC IDENTITY:

(a+b)^{2}   = a^{2}  +  b^{2}  + 2ab\\ (-5-2x)^{2} = (-5)^{2}  +  (-2x)^{2}  + 2(-5)(-2x)

or, x^{2}  + (-5-2x)^{2}  = 25  \implies x^{2} + (25  +  4x^{2}  + 20x)  = 25

or, 5x^{2}  + 20x = 0  \implies x(5x + 20) = 0

⇒ x = 0 or,   x  = -20/5 = -4

So, the possible values for x are: x  = 0 or  x  = -4

If x  = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4)   = -5 + 8  = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0
3 years ago
What is the side length of a cube with volume 4913 cm3?
Elan Coil [88]
A=17 cm 

you would need to find the volume of the shape! (:
7 0
3 years ago
The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet
aleksklad [387]

Answer:

The length of the actual train's car is <u>67.5 feet.</u>

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be x.

And, the length of the car of model train = 5\ inches\ long.

<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>

<em>Thus, 5 inches is equivalent to </em>x.<em />

Now, to get the length of actual train's car using cross multiplication method:

\frac{1}{13.5} =\frac{5}{x}

By cross multiplying we get:

x=67.5\ feet.

Therefore, the length of the actual train's car is 67.5 feet.

7 0
3 years ago
Factor the expressions .<br> 36 + 8z
Sophie [7]

Answer:

4 × ( 9 + 2z)

Step-by-step explanation:

36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor

            = 4 × ( 9 + 2z)  

we can also write it like this

36 + 8z = 2 × ( 18 + 4z)

3 0
3 years ago
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