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Anton [14]
4 years ago
11

A family has four children. What is the probability that two children are girls and two are boys? Assume the the probability of

having a boy (or a girl) is 50%.
Mathematics
1 answer:
Zigmanuir [339]4 years ago
8 0

Answer:The first issue one most notice is the words “at least” We are trying to find the probability of at least 2 girls.

The five possible outcomes for girls are 0,1,2,3,4. The odds of 1 girl out of 4 is .25 and the odds of 1 boy out of 4 is .25 (same as the odds of 3 out of 4 girls). Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number.

The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125)(—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)——(the same as the probability of 1 boy)—- plus the probability of 2 girls. Since we know the probability of zero boys is .0625 (again, .5 to the 4th power) and the probability of 1 boy is .25 (the same as the probability of 3 girls )———then the probability of 2 girls is ((1 minus (the sum of the probability of 0 OR 1 boys) plus the (sum of the probability of 3 or 4 girls)), or 1-((.0625+.25)+(.0625+.25)), or .375. We had to derive the probability of two from the other known probabilities. Therefore .375+.25+.0625=.6875 is the probability of both AT LEAST 2 girls and also NO MORE than 2 boys. Notice this adds up to 1.375 because the probability of the central number 2 (i.e., .375) appears on both sides.

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10 points
oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a  deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must  swim up to the boat. It can be calculate by applying trigonometry as follows :

\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}

So, the distance the diver must swim up to the boat is 240 feet.

6 0
3 years ago
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Norma-Jean [14]

Answer: -4 and 9

Step-by-step explanation:

5 0
3 years ago
The probability of spinning a 4, flipping heads, then spinning a 7 is ___.
AnnZ [28]

Answer:

1/7 1/4

Step-by-step explanation:

......…........ ..

3 0
4 years ago
Ayuda por favor es para hoy...
Stels [109]

The two number that when added to the first number, give the second number, and when multiplied, give the second number are:

  • a. 4 and 2
  • b. 9 and -4
  • c. -7 and 3
  • d. 5 and 2
  • e. -7 and -4
  • f. 7 and 9

<h3>What numbers are required?</h3><h3 />

The question requires two numbers that can be added to get the first number and multiplied to get the second.

When 4 and 2 are multiplied, they get 8 and when added they get 6.

When 9 and -4 are added, they get 5 and when multiplied they get 36.

When -7 and 3 are multiplied, they get -21 and when added they get -4.

When 5 and 2 are added, they get 7 and when multiplied they get 10.

When -7 and -4 are multiplied, they get 28 and when added they get -11.

When 7 and 9 are added, they get 16 and when multiplied they get 63.

Find out more on number operations at brainly.com/question/1053492.

#SPJ1

3 0
2 years ago
What are the coordinates of the orthocenter of △ABC with vertices at A(1, 2) , B(1, 6) , and C(5, 6) ?
maria [59]
......ok.....the orthocenter would be at (1,6)
7 0
3 years ago
Read 2 more answers
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