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anzhelika [568]
3 years ago
9

Based on the cards shown, what is P(pink or even)? 1/57/109/10​

Mathematics
2 answers:
kvasek [131]3 years ago
6 0
Four of them are pink so it’s 4/10 and 2/5
Oksana_A [137]3 years ago
5 0

Answer:

7/10

Step-by-step explanation:

To solve this, first find how many of the cards or even. There are 5 even cards out of these 10 cards, so we have the fraction 5/10. Next, we can see that there are 4 pink cards. So, we also have the fraction of 4/10. Then, add these two fractions.

5/10 + 4/10 = 9/10.

But, since the pink 8 card and the pink 10 card are both pink and even, they were counted twice. So, we need to subtract 2/10 from 9/10. This is 7/10.

If I was of any assistance to you, please mark me brainliest! It would mean a lot and I really need more brainliest marks!

God bless! :)

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Find the area of a plane figure bounded by lines
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Answer: 4.5

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

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


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The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?​
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Answer:

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Step-by-step explanation:

Given the following data;

Radius, r = 21 m

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Substituting into the formula, we have;

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Distance = Circumference * Number of revolutions

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