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3 years ago

Could someone please explain to me how to solve this question?

Mathematics

1 answer:

Maksim231197 [3]3 years ago

5 0

Answer:

$y+2 = x+2$

Step-by-step explanation:

A line is written in the point-slope form if its equation is in the form

$y-y_1 = m(x-x_1)$

where

$m=\frac{y_2-y_1}{x_2-x_1}$ is the slope of the line, calculated using the two points $(x_1,y_1)$ and $(x_2,y_2)$

In this problem, we have the following two points:

$(x_1,y_1) = (-2,-2)\\(x_2,y_2)=(2,2)$

Therefore we can calculate the slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{2-(-2)}=\frac{4}{4}=1$

And so, the equation of the line in point-slope form is

$y-(-2) = 1(x-(-2))\\\rightarrow y+2 = x+2$

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Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and

ryzh [129]

Answer:

a) X1+X2 have distribution Bi(n1+n2, p)

P(X1+X2 = 1 | X2 = 0) = np(1-p)ⁿ¹⁻¹

P(X1+X2 = 1| X2 = 1) = (1-p)ⁿ¹

P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Step-by-step explanation:

Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).

Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).

If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹

Thus,

P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

4 0

3 years ago

Property taxes are based on an assessed value of $132,000 and the tax rate is 8.5 mills. The property closes on Jun 14. On a bas

defon

Answer:

$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13

One mill is one dollar per $1,000 dollars of assessed value.

In our case 8.5 mills equivalent to 0.0085.

So to get the assessed value for one day

we will get

$132,000 X .0085 = $1,122 / 360 = $3.1166

Now we have the value for one day,

For June 14, we will calculate the days from January 1st to date

total days are 164. i.e. 5*30+14 = 164

Finally, the seller owes

$3.1166 * 164 = 511.13

6 0

3 years ago

Area of circle. show your work please

Neporo4naja [7]

 so the answer is 3.14.

Hope this will help u....

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3 years ago

Solve the following equation. -8x=-6x +10

miskamm [114]

(-8)x=(-6)x+10
(-2)x=10
X=10/-2
X=-5

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3 years ago

What is the measure of ZA? A [?] degrees 87° 35 B Enter

mamaluj [8]

Angle A is 58 degrees.

87 + 35 = 122
180 - 122 = 58

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3 years ago