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Alenkasestr [34]
2 years ago
13

Make k the subject for 3t = 7k/13 - 17 and 7k = 4k/3t - 11t

Mathematics
1 answer:
andrew11 [14]2 years ago
5 0
3t = \frac{7k}{13} - 17 \\3t(1\frac{6}{7}) = 1\frac{6}{7}(\frac{7k}{13} - 17) \\5\frac{4}{7}t = k - 31\frac{4}{7} \\\frac{-k}{-1} = \frac{-5\frac{4}{7} - 31\frac{4}{7}}{-1} \\k = 5\frac{4}{7} + 31\frac{4}{7}

\frac{7k}{7} = \frac{\frac{4k}{3t} - 11t}{7} \\k = \frac{4k}{21t} - 1\frac{4}{7}
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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab
WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

or

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

8 0
2 years ago
Read 2 more answers
Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequa
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Answer:

Total number of peanuts =n

He shared with 5 people = 6 people

Each person had at least 18

n/6>=18

Step-by-step explanation:

When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.

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2 years ago
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Chris Paul is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one,
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Answer:

Do you even know who Chris Paul is

Step-by-step explanation:

8 0
3 years ago
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What is the missing length??
amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

15 + x : 20= x : 8

Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

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Solve for x

x = \frac{120}{10}

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3 years ago
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Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

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The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.
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3 years ago
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