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3 years ago

¡¡¡40 POINTS!!!HELP ASAP!!

1 answer:

8 0

Hi there!

To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!

-0.5-0.5/3-(-3)
-1/6
Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation.

y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
0.5+0.5=b
b=1

Therefore your equation is y=-1/6x+1

Hope this helps!

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3 years ago

Multiply by 1,2,3 and so on to find the first six multiples of 90

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Step-by-step explanation:

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A federal lobbyist wishes to survey residents of a certain congressional district to see what proportion of the electorate is aw

horrorfan [7]

Answer:

a. 385

b. 342

Step-by-step explanation:

To solve the problem we do the following:

The equation to calculate the sample size is:

$n = (p)(q)(\frac{z}{E})^2$

We have the following data:

Since no estimate of proportion is given, we will assume: p = q = 0.5

We know that For 95% confidence, z = 1.96

Width = 0.10

Hence, the margin of error would be:

0.10 / 2 = 0.05

E = 0.05

And so we can calculate sample size:

$n = (0.5)(0.5)(\frac{1.96}{0.05})^2$

n = 385

We have the following data for this point:

p = 2/3

q = 1 - p

q = 1 - 2/3

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4 0

3 years ago

A town hasapopulation of p people based on a 2010 census. According to research conducted by the town council, the population of

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Answer:

p = 497 ( to the nearest whole number)

Step-by-step explanation:

In order to do this calculation, we will apply the principle of accounting, where a certain amount is compounded periodically and yielding a future value. Compound interest is used because the percentage growth rate is added on the new amount gotten each year, and not on the first or original amount.

Hence:

FV = PV × $(1+ \frac{r}{n}) ^{n*t}$

where FV = future value = population in 2020 = 810

PV = present value = population in 2010 = p

r = percentage growth rate in decimal = 5% = 5/100 = 0.05

n = growth rate period per year = once = 1

t = time in years = 2010 to 2020 = 10 years

∴ $810 = p * (1+ \frac{0.05}{1}) ^{1*10}$

$810 = p * (1.05) ^{10}\\810= p(1.6289)$ (dividing both sides by 1.6289)

p = 810 ÷ 1.6289 = 497.2 = 497 (to the nearest whole number)

∴ population in 2010 = 497

4 0

3 years ago