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3 years ago

Describe how to write 3x + 2y = 12 in function notation. Assume that y represents the dependent variable

Mathematics

1 answer:

Westkost [7]3 years ago

7 0

Answer:

f(x)=(12-3x)/2

Step-by-step explanation:

1) add -3x to both sides

2) divide them by 2

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Lisa and her 17 classmates are donating money to a local charity. Each student will donate $5.25. How much money are Lisa and he

masya89 [10]

Answer:

$94.50

Step-by-step explanation:

Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18

Money donated by 1 student = $5.25

Money donated by 18 Students = 18*5.25 = $94.50

8 0

3 years ago

Read 2 more answers

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient? The sequence 05 Only the dig

Oksi-84 [34.3K]

Answer:

Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?

The sequence 05

Only the digit 5

The sequence 54

Only the digit 4

The sequence 54 is the final answer.

Step-by-step explanation:

Given:

A a fraction 6/11 which Teagan is dividing we have to find the repeating quotient.

Here the divisor is 11 and the dividend is 6.

Lets say that the quotient is "q" .

And we know that:

⇒ Dividend / divisor = quotient

In mixed fraction.

⇒ Dividend / divisor = quotient + (remainder/ divisor)

Finding the values of "q".

⇒ $\frac{Dividend}{divisor} = quotient$

⇒ $\frac{6}{11} = 0.5454....$

Explanation:

To divide $6$ with $11$ we have to take a decimal in quotient which allows us to have a zero in each step in the quotient.
After putting zero the dividend will become $60$ and then we can apply $11\times 5 = 55$ ... $5$ in the quotient and $55$ in the numerator.
In third step we will subtract $55$ with $60$ that will give us $5$ putting a zero with it it will be now $50$ ,and the closet multiple of $11$ is $11\times 4=44$ , $4$ with the quotient and and $50-44=06$ will continue to be divided.
The fraction is a rational numbers as the decimals occurring are repeating decimals in the quotient.

Our final answer from the option is : C

The sequence 54 will be repeating.

4 0

4 years ago

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

bulgar [2K]

Answer:

a) 20.61%

b) 21.82%

c) 42.36%

d) 4 withdrawals

Step-by-step explanation:

This situation can be modeled with a binomial distribution, where p = probability of “success” (completing the course) equals 80% = 0.8 and the probability of “failure” (withdrawing) equals 0.2.

So, the probability of exactly k withdrawals in 20 cases is given by

$\large P(20;k)=\binom{20}{k}(0.2)^k(0.8)^{20-k}$

We are looking for

P(0;20)+P(0;1)+P(0;2) =

$\large \binom{20}{0}(0.2)^0(0.8)^{20}+\binom{20}{1}(0.2)^1(0.8)^{19}+\binom{20}{2}(0.2)^2(0.8)^{18}=$

0.0115292150460685 + 0.0576460752303424 + 0.136909428672063 = 0.206084718948474≅ 0.2061 or 20.61%

Here we want P(20;4)

$\large P(20;4)=\binom{20}{4}(0.2)^4(0.8)^{16}=0.218199402\approx 0.2182=21.82\%$

Here we need

$\large \sum_{k=4}^{20}P(20;k)=1-\sum_{k=1}^{3}P(20;k)$

But we already have P(0;20)+P(0;1)+P(0;2) =0.2061 and

$\large \sum_{k=1}^{3}P(20;k)=0.2061+P(20;3)=0.2061+0.205364 \approx 0.4236=42.36\%$

For a binomial distribution the <em>expectance </em>of “succeses” in n trials is np where p is the probability of “succes”, and the expectance of “failures” is nq, so the expectance for withdrawals in 20 students is 20*0.2 = <em>4 withdrawals.</em>

3 0

3 years ago

PLEASE HELP!!! WILL GIVE BRAINLIEST!!

iren2701 [21]

Answer:

5 and it helps do the project

Step-by-step explanation:

its realy easy

6 0

4 years ago

Simplify the square root of –75

nadezda [96]

Answer:

5 i √ 3

Step-by-step explanation:

3 0

3 years ago