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lorasvet [3.4K]
2 years ago
14

What does the equation y=2x + 3 represent relationship.

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
6 0

Answer:

Linear Proportional Relationship

General Formulas and Concepts:

<u>Algebra I</u>

  • Linear - Any degree of 1 in the form of y = mx + b or Ax + By = C
  • Nonlinear - Any degree higher than 1

Step-by-step explanation:

<u>Step 1: Define</u>

y = 2x + 3

<u>Step 2: Identify</u>

We see we have a linear equation in y = mx + b. We can also see that it is a degree of 1. Therefore, it is a Linear proportional relationship.

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On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
A closed container has 7.05 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10-24 grams. Which of the following shows
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D

Step-by-step explanation:

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You deposit $200 in an account earning 3% interest compounded
anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

First, change 3% into its decimal form:

3% -> \frac{3}{100} -> 0.03

Now, plug in the values:

A=200(1+\frac{0.03}{1})^{1(10)}

A=268.78

After 10 years, you will have $268.78

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