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3 years ago

A coin is tossed a number cube is rolled P(tails and 3)

Mathematics

1 answer:

Anarel [89]3 years ago

5 0

Answer:

1/6

Step-by-step explanation:

The coin toss and the cube roll are entirely separate and independent events. To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.

P(tails) = 0.5

P(3) = 1/6, or 0.3333 ....

Desired joint probability = (1/2)(1/3) = 1/6

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Quadratic Equation

Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

${y}^{2} - 13y + 42 = 0$

${y}^{2} - (7 + 6)y + 42= 0$

${y}^{2} - 7y - 6y + 42 = 0$

$y(y - 7) - 6(y - 7) = 0$

$(y - 6) (y - 7) = 0$

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

7 0

3 years ago

Can you guy's help me quick!

nadya68 [22]

Answer:

480,700 sets (first choice)

Step-by-step explanation:

If all 25 questions are different,

When order of selection counts:

P(25,7)

= 25!/(25-7)!

= 15511210043330985984000000/6402373705728000

= 2422728000

When order of selection does not count count:

C(25,7)

=25!/(7!*(25-7)!)

=15511210043330985984000000/(6402373705728000*5040)

= 480,700

Hope this helps, have a nice day.

6 0

3 years ago

Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole

alukav5142 [94]

Divide 14 by 2 to get the radius and plug into formula.
pi 7^2 16
pi 49 16= pi784=2462.7
2463 cm3 is the answer

5 0

3 years ago

There are 28 flowers in a bouquet. 7 of the flowers are tulips. What

Semenov [28]

Answer:

25%

Step-by-step explanation:

6 0

3 years ago

There are 24 red roses and 36 white roses in the bouquet. what is the ratio of red roses to white roses

otez555 [7]

Answer:

the required ratio is :

24 : 34 = 2 : 3

6 0

3 years ago

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