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timama [110]
3 years ago
5

There are 5 red pens, 3 blue pens and 2 green pens in a box. Ziyad takes at random a pen from the box and gives the pen to his f

riend, Tamer. Ziyad then randomly takes another pen from the box. Work out the probability that both pens are the same color.
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer: 14/45

Step-by-step explanation:

Assuming that there is no replacements:

The probability of both pens being red will be represented by P(r), and P(b) and P(g) will represents both being blue and green respectively

P(r) = 5/10 x 4/9 = 2/9

P(b) = 3/10 x 2/9 = 1/15

P(g) = 2/10 x 1/9 = 1/45

Now take all 3 probabilities and add them all together to find the probability that any 2 pen will be the same color

P = P(r) + P(b) + P(g)

P = 2/9 + 1/15 + 1/14

P = 14/45

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I’m not sure how to solve “system of equations”
natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

7 0
3 years ago
Use the mapping shown above to show the value of the function f(x) at each point.
julsineya [31]

Answer:

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21 ⇒ A

Step-by-step explanation:

Let us use the mapping shown to solve the question

∵ f(x) = y

∵ x is the domain

∵ y is the range

→ From the figure use x from the domain and y from the range, where

   each arrow pointed at the corresponding value y of x

∵ x = -1 and the corresponding value of y is 5

∴ f(-1) = 5  

∵ x = 0 and the corresponding value of y is 3

∴ f(0) = 3

∵ x = 1 and the corresponding value of y is 5

∴ f(1) = 5

∵ x = 2 and the corresponding value of y is 11

∴ f(2) = 11

∵ x = 3 and the corresponding value of y is 21

∴ f(3) = 21

The value of the function f(x) at each point is f(-1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21

7 0
3 years ago
Help please! Thank you
Anna71 [15]
First thing to do is set up your equation:
45/x = 20/100
Cross multiply
4500 = 20x
And divide by 20

Answer: 225 people were surveyed 

6 0
3 years ago
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shtirl [24]

Answer:

$1,555.06

Step-by-step explanation:

8 0
3 years ago
beth made a batch of blueberry and banana muffins. Each batch is 6 muffins. She makes 2.5 batches of blueberry muffins. How many
Murljashka [212]
The answer should be 7.5 batches of banana. I hope this helps
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