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3 years ago

In a family, each brother has as many sisters as broth, but

Mathematics

1 answer:

irina [24]3 years ago

8 0

Answer: 4 brothers and 3 sisters for a total of 7 siblings

Step-by-step explanation:

Let No. of boys = x

Let No. of girls = y

Each boy has as many brothers as sisters

Hence, (x - 1) = y

Rearranging we get,

x - y = 1 ……….(1)

Now, each girl has twice as many brothers as that of sisters

Hence, 2 * (y - 1) = x

Solving the bracket we get, 2y - 2 = x

Rearranging we get,

-x + 2y = 2 ……….(2)

Adding (1) and (2) using the elimination method, we get

x - y = 1

-x + 2y = 2

y = 3

Substituting value of Y in equation (1),

x - 3 = 1

Solving this we get,

x = 4

Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7

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Estimate the number of DVDs that will be checked out for every 100 patrons.

anastassius [24]

The number of DVDs that will be checked out for every 100 patrons will be 20.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

$X \sim B(n,p)$

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The expected value of X will be:

$E(X) = np\\$

The information is given in the table.

The probability of getting DVDs will be

$\rm p = \dfrac{2}{10}\\\\p=2$

The value of n is 100.

Then the number of DVDs that will be checked out for every 100 patrons will be

$\rm E(X) = 100 \times 0.2\\\\E(X) = 20$

Learn more about binomial distribution here:

brainly.com/question/13609688

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5 0

2 years ago

Find the mode for the following data set {1,3,5,7,9] PLS HELP

kvasek [131]

Answer: There is no mode.

Step-by-step explanation:

The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.

Hope this helps!

7 0

3 years ago

Please please ASAP ASAP please ASAP thank you so much please No links or files please

Leto [7]

Answer:

(0, 3)

Step-by-step explanation:

Y axis changes and x axis stays the same

5 0

3 years ago

(2,-1) Is one of many solutions to the inequality: X - 3y<1 True or false?

aksik [14]

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

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3 years ago

1/5 multiplied by what number will result in a product of 1/10

34kurt

Answer:

1/2

Step-by-step explanation:

6 0

3 years ago