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3 years ago

Which equation shows y = 3x - 1/5 in standard form? I will mark brainliest!!

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer:

15x-5y=1

Step-by-step explanation:

y=3x−15

The standard form of a linear equation is Ax+By=C.

Multiply both sides by 5.

5y=5(3x−15)

Simplify 5(3x−15).

5y=15x−1

Rewrite the equation with the sides flipped.

15x−1=5y

Move all terms containing variables to the left side of the equation.

15x−5y−1=0

Add 1 to both sides of the equation.

15x−5y=1

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There are 1,000 residents of a town in Year 1. That number increases by 1% each year.

S_A_V [24]

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Part A) $y=1,000(1.01^{x})$

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Part A) What is the explicit rule for the number of residents

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$y=a(b^{x})$

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Legalize Marijuana, Part II. As discussed in Exercise 6.12, the 2010 General Social Survey reported a sample where about 48% of

kvv77 [185]

Answer:

Around 2397 Americans must be surveyed to get a margin of error of 2%.

Step-by-step explanation:

We are given the following in the question:

Proportion of US residents who thinks marijuana should be made legal = 48%

$\hat{p} = 0.48$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.48(1-0.48)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.48(1-0.48)}}{0.02}\\\\\sqrt{n}=48.96\\n = 2397.0816\approx 2397$

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