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marin [14]
3 years ago
13

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

Or

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}

a)

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%

b)

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\%

c)

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\%

d)

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
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