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IrinaK [193]
2 years ago
10

Janice was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:

Mathematics
1 answer:
Lena [83]2 years ago
7 0

Given two reference points, we want to answer some questions, the answers are:

  • a) The 0 should represent the surface of the water of the pool.
  • b) The slide is 12 ft above the zero (12ft above the surface of the water)
  • c) She should mark the pole with a -4 on the number line.

So we start with two reference points:

  • -8, which represents the depth of water in the swimming pool.
  • 12, which represents the height of the slide at the pool.

So positive numbers represent height, negative ones represent depth.

A) Here the 0 should represent the surface of the water of the pool.

B) on this situation, we should see that the slide is at 12, meaning that is 12 ft above the surface of the water in the pool.

C) The pole is at a depth of 4 ft, and 0 represents the surface, then -4 will represent the depth of the pole when it is at a depth of 4 ft. She must mark the level of the pole as a -4 on the number line.

If you want to learn more, you can read:

brainly.com/question/10979298

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3

Step-by-step explanation:

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A.) 10<br> B.) 25<br> C.) 20<br> D.) 15
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2x+4=10
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3 years ago
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

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What is a prime in coordinates
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