Parallel to y=−3x−2, through (-3, -3)

Mathematics

1 answer:

VashaNatasha [74]1 year ago

3 0

Answer:

Use the formula y-y1=m(x-x1) <---memorize this. The m here is the slope.

Step-by-step explanation:

The equation is in y=mx+b form

Remember mx=slope and b=y-intercept

The question wants you to find the equation that is Parallel to y=-3x-2 and passes through (-3,-3)=(x1,y1)

Parallel=same slope -3x

So now all that's left is to plug into the equation.

y-(-3)=-3(x-(-3))

y+3=-3(x+3) ----> positive - a negative = positive so x-(-x)=x+x

y+3=-3x-9 ----> distribute like terms(subtract 3 from 3 and 3 from -9)

y=-3x-12 - This is your answer, you can check by graphing it.

Could i get Brainlest? thx :)

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About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$