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4 years ago

Helppp!!!!laura is playing a card game with her friend.she will draw two cards from those pictured.

Mathematics

1 answer:

puteri [66]4 years ago

5 0

Answer:

30%

Step-by-step explanation:

In this case it would be the combination of 2 taken from 5.

That is, when n = 5 and r = 2

nCr = n! / r! * (n-r)!

replacing

5C2 = 5! / (2! * 3!)

5C2 = 10

Which means that the sample space is 10 possible combinations.

the probability that the card you draw is even is 3/5, since there are 3 even cards that exist and 5 is the total number of cards.

Now, so that both are for it would be the multiplication of the previous probability and 2/4 because an even card and a card in general have already been drawn:

(3/5) * (2/4) = 0.3

So the probability that both are even is 30%

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when 3 is divided by the sum of x and 8 ,the result is the same as dividing 2 by the sum of x and 3,find the number

kkurt [141]

Answer:

x = your number

3 / ( x + 8 ) = 2 / ( x + 3 )

Cross multiply

3 ∙ ( x + 3 ) = ( x + 8 ) ∙ 2

3 x + 9 = 2 x + 16

Subtract 2 x to both sides

x + 9 = 16

Subtract 9 to both sides

x = 7

8 0

3 years ago

Does the following infinite series have a sum or not and does it converge or diverge?

iren [92.7K]

Answer:

Step-by-step explanation:

Please present these numbers as a list: 7, -21, 63, -189, ....

Otherwise it appears that you are adding them up, which is not the case.

We can tell that this is a geometric series because each new number is -3 times the previous number: -3(7) = -21, -3(-21) = 63, and so on. Let r = -3 and a = first number = 7.

The sum of an infinite geometric series exists if and only if |r} < 1. Here, |-3|, or 3, so in this case the sum of the series does not exist. That is, the series diverges.

3 0

3 years ago

Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.

MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept