Answer:
The probability of selling more than 2 properties in one week=0.9453
Step-by-step explanation:
We are given that
n=10
p=50%=0.50
q=1-p=1-0.50=0.50
We have to find the probability of selling more than 2 properties in one week.
Binomial probability distribution formula
![P(X=x)=nC_xp^{x}q^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3DnC_xp%5E%7Bx%7Dq%5E%7Bn-x%7D)
Using the formula
![P(x\geq 2)=10C_0(0.50)^{10}+10C_1(0.50)^{10}+10C_2(0.50)^{2}](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D10C_0%280.50%29%5E%7B10%7D%2B10C_1%280.50%29%5E%7B10%7D%2B10C_2%280.50%29%5E%7B2%7D)
![P(x\leq 2)=\frac{10!}{0!10!}(0.50)^{10}+\frac{10\times 9!}{9!}(0.50)^{10}+\frac{10\times 9\times 8!}{2\times 1\times 8!}(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%5Cfrac%7B10%21%7D%7B0%2110%21%7D%280.50%29%5E%7B10%7D%2B%5Cfrac%7B10%5Ctimes%209%21%7D%7B9%21%7D%280.50%29%5E%7B10%7D%2B%5Cfrac%7B10%5Ctimes%209%5Ctimes%208%21%7D%7B2%5Ctimes%201%5Ctimes%208%21%7D%280.50%29%5E%7B10%7D)
Using the formula
![nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=nC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
![P(x\leq 2)=(0.50)^{10}+10(0.50)^{10}+45(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%280.50%29%5E%7B10%7D%2B10%280.50%29%5E%7B10%7D%2B45%280.50%29%5E%7B10%7D)
![P(x\leq 2)=(0.50)^{10}(1+10+45)](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%280.50%29%5E%7B10%7D%281%2B10%2B45%29)
![P(x\leq 2)=56(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D56%280.50%29%5E%7B10%7D)
Now,
![P(x>2)=1-P(x\leq 2)](https://tex.z-dn.net/?f=P%28x%3E2%29%3D1-P%28x%5Cleq%202%29)
![P(x>2)=1-56(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%3E2%29%3D1-56%280.50%29%5E%7B10%7D)
![P(x>2)=0.9453](https://tex.z-dn.net/?f=P%28x%3E2%29%3D0.9453)
Hence, the probability of selling more than 2 properties in one week=0.9453
Let's start by rationalizing the radical:
4√6/√50 * √50/√50
This gets rid of the radical in the denominator, giving us:
4√300/50
√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:
4 * 10√3/50
This is equivalent to:
40√3/50
40/50 can be simplified to 4/5.
Therefore, the answer is 4√3/5.
If you would like to find the roots of the function f(x) = x^2 - 2 * x - 3, you can calculate this using the following steps:
<span>f(x) = x^2 - 2 * x - 3 = (x - 3) * (x + 1)
</span>1. x = - 1
<span>2. </span><span>x = 3
</span>
<span>The missing number would be 3.</span>
Answer:
A...similar triangles
Step-by-step explanation:
option b... the two triangles are not congruent
option c... the area of ∆AED= 3, ∆ACB= 12.. half of 12 is 6.. wrong
option d. perimeter of ∆AED= 8.60, area of ∆ACB = 12... one fouth of 12 =3. wrong.
option A.. similar triangles have the same shape but they necessarily don't need to have the same size. ... correct! both triangles are right angled triangles.
note.. perimeter is summation of all sides..
solving unknown side use Pythagoras formulae
hyp= √ height (sq) + base (sq)
area of ∆ = 1/2 * base * height...
Answer:
the last choice shown here: F'(0, -4), G'(-3, -1), H'(-2, 2), I'(0, -2)
Step-by-step explanation:
The translation vector tells you that the new coordinates are found by adding -4 to each of the old coordinates. When you realize that the answer choices differ in their values for H' and I', you can conclude that you only need to find one of those to determine the correct answer.
H' = H + (-4, -4) = (2-4, 6-4) = (-2, 2) . . . corresponds to the last choice shown
_____
When you subtract 4 from each of the coordinates of the other points, you find they also match the last answer selection.