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Nastasia [14]
3 years ago
15

Steve connected a wire extension that is 3/8 foot long to another wire that is 1/2 foot long. How long is the wire with the exte

nsion?
Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

<u>7/8 feet</u>

Step-by-step explanation:

In order to add two frctions you need to make their denominator the same,

3/8 can be kept as it is and we can multiply the top and bottom of 1/2 by 4 in order to ger 4/8. Now it is easier to add together,

3/8 + 4/8= <u>7/8</u>

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Sharon earns 4% Commission on the items that she sells one week she earns $150 in commission what is the total value of the item
Annette [7]
X = total sales
y = sharon's commision earnings

Since Sharon makes 4% of the total sales, we want to calculate how many sales equate to a $150 return. Since 4% = .04, the solution would be :

y = .04 x
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5 0
3 years ago
There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

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

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
PLEASE HELP IS IT A B C OR D PLEASE HELP ME Thank You
Savatey [412]

Answer: I believe the correct answer is option D.

7 0
3 years ago
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