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Wewaii [24]
3 years ago
11

Hello I need help Finding the probability

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0
Each petal of the region R is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length 5\sqrt2, which implies the segment is subtended by an angle of \dfrac\pi2. This means the area of the segment is

\text{area}_{\text{segment}}=\text{area}_{\text{sector}}-\text{area}_{\text{triangle}}
\text{area}_{\text{segment}}=\dfrac{25\pi}4-\dfrac{25}2

This means the area of one petal is \dfrac{25\pi}2-25, and the area of R is four times this, or 50\pi-100.

Meanwhile, the area of G is simply the area of the square minus the area of R, or 10^2-(50\pi-100)=200-50\pi.

So

\mathbb P(X=R)=\dfrac{50\pi-100}{100}=\dfrac\pi2-1
\mathbb P(X=G)=\dfrac{200-50\pi}{100}=2-\dfrac\pi2
\mathbb P((X=R)\land(X=G))=0 (provided these regions are indeed disjoint; it's hard to tell from the picture)
\mathbb P((X=R)\lor(X=G))=\mathbb P(X=R)+\mathbb P(X=G)=1

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Which transformation(s) can be used to map one triangle onto the other? select two options. reflection only translation only dil
exis [7]

Transformation which can be used for mapping of one triangle to another are;

  • Only translation
  • Rotation then dilation.

What does mapping mean in geometry?

  • Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping.
  • Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.

We need to map one triangle to another ;

Hence, for mapping of one triangle to another,

The transformation which can be used from the given options are;

  • Only translation
  • Rotation then dilation

Learn more about mapping

brainly.com/question/22566343

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8 0
2 years ago
Please help quick ASAP
musickatia [10]
Answer is: 9.42cm^3
7 0
3 years ago
Compute the probability of randomly selecting a three or club.
Pavlova-9 [17]
Find the total number of cards in a deck. Count all the # 3’s total cards/#3 cards
Count all the clubs total card/ clubs
Not sure if you are counting 3’s & clubs together. If you are, total cards/ both
So all you have to do is count & then divide to get the probability.
5 0
2 years ago
How do you read this expression 8(8x+7) and 8(3x)+8(7)
Misha Larkins [42]

Answer:

64x+56 & 24x+56

Step-by-step explanation:

I hope this is what you mean because this is not an equation as it is not set equal to anything.


Both problems solved by distributive property -

8*8x + (8*7) = 64x+56

8*3x + (8*7) = 24x+56

4 0
3 years ago
13. f(x) = x + 5<br> a. f(4)<br> b. f(7)<br> c. f(-3)<br> d. f(0)<br> e. f(2.4)<br> f. f(2/3)
SashulF [63]
A.9
B.12
C.2
D.5
E.7.4
F.5 2/3 or 5.6666
4 0
3 years ago
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