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3 years ago

What is the solution to this system of linear equations?

Mathematics

2 answers:

Luden [163]3 years ago

4 0

Answer:

the answer is (5,-1)

Step-by-step explanation:

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yan [13]3 years ago

3 0

Answer:

It’s c

Step-by-step explanation:

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In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

A Salesman worked on a weekly salary of $180.00 . To this was added a commission of 5% on all sales over $500. It his sales for

Anvisha [2.4K]

250x.05 = 12.5 + 180 = 192.50

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3 years ago

What is the value of the expression 4rs if r = -1/3 and s = 7/8

Brut [27]

1 and 1/6 is the correct answer because 4/1 multiplied by 1/3 is 4/3. 4/3 multiplied by 7/8 is 28/24 or 1 and 4/24, which can be simplified down to 1 and 1/6.

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3 years ago

When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold?

Cerrena [4.2K]

You might need to divide the grams from table spoons

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3 years ago

Mr.rodrigues invests half his money in land, a tenth in stocks and a twentieth in bonds . He puts the remaining 35,000 in his sa

Natali5045456 [20]

Let's say <span>Mr.rodrigues's total amount of money is x. 1/2 of his money is in land, 1/10 of his money is in stocks, and 1/20 of his money is in bonds. The remaining is in his savings. Therefore, 1-1/2-1/20-/10 = fraction of money in savings account = 35/100 = 7/20. If 7/20 of his money =35000, then we can say that (7/20)x=35000, and 35000*20=7x, then getting (35000*20/7)=x, which equals (5000*20)=100,000 dollars.</span>

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3 years ago