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Setler79 [48]
3 years ago
9

1 5 ? whats the missing number? _ + _= _ 9 6 18

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

17 / 18

Step-by-step explanation:

1/9 + 5/6 needs to be converted to a different equivalent fraction so that the denominators are the same, so;

1/9 = 2/18 and 5/6 = 15/18

2/18 + 15/18 = 17/18!

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A public health organization reports that 40%of baby boys 6-8 months old in the United
Sveta_85 [38]

Using the binomial distribution, the probabilities are given as follows:

  • 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
  • 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
  • Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters for this problem are:

n = 10, p = 0.4.

The probability that more than 4 weigh more than 20 pounds is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061

P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403

P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502

Hence:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

The probability that fewer than 3 weigh more than 20 pounds is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

For more than 7, the probability is:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
1 year ago
Find the sum of -6/ab + a^2/b^2
Ymorist [56]

Answer:

\frac{1}{ab^{2} } (a³ - 6b)

Step-by-step explanation:

\frac{-6}{ab} + \frac{a^{2} }{b^{2} }

= \frac{-6b + a^{3} }{ab^{2} }

= \frac{1}{ab^{2} } (a³ - 6b)

4 0
2 years ago
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expe
Margarita [4]

Answer:

The 15 percent commission is what the shop received.

Step-by-step explanation:

It said that the most expensive piece it ever sold was 225

not that the most money they made is 225

5 0
3 years ago
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
RUDIKE [14]
Well what I would do first is divide the 900 student by the 445 teacher to get 20 students per teacher. Now I would take that 20 and multiply it by 110 teacher to get 2200 Students.

Answer= C) 2200 Students
4 0
3 years ago
PLZ HELP ASAP
svet-max [94.6K]
Answer is D:
e + 5 = 3e - 11

2e = 16
e = 8

Ella is 8 years old
Jamie is 8+5 = 13 years old
6 0
3 years ago
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