Answer:
The answer is c) 761.0
Step-by-step explanation:
Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.
The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.
Then you first calculate E [x] and E [
], and then be able to calculate the variance.
![E[x]=0*\frac{1}{40} +10*\frac{1}{20} +50*\frac{1}{10} +100*\frac{33}{40}](https://tex.z-dn.net/?f=E%5Bx%5D%3D0%2A%5Cfrac%7B1%7D%7B40%7D%20%2B10%2A%5Cfrac%7B1%7D%7B20%7D%20%2B50%2A%5Cfrac%7B1%7D%7B10%7D%20%2B100%2A%5Cfrac%7B33%7D%7B40%7D)
![E[x]=0+\frac{1}{2} +5+\frac{165}{2}](https://tex.z-dn.net/?f=E%5Bx%5D%3D0%2B%5Cfrac%7B1%7D%7B2%7D%20%2B5%2B%5Cfrac%7B165%7D%7B2%7D)
E[X]=88
So <em>E[X]²=88²=7744</em>
On the other hand
![E[x^{2} ]=0^{2} *\frac{1}{40} +10^{2} *\frac{1}{20} +50^{2} *\frac{1}{10} +100^{2} *\frac{33}{40}](https://tex.z-dn.net/?f=E%5Bx%5E%7B2%7D%20%5D%3D0%5E%7B2%7D%20%2A%5Cfrac%7B1%7D%7B40%7D%20%2B10%5E%7B2%7D%20%2A%5Cfrac%7B1%7D%7B20%7D%20%2B50%5E%7B2%7D%20%2A%5Cfrac%7B1%7D%7B10%7D%20%2B100%5E%7B2%7D%20%2A%5Cfrac%7B33%7D%7B40%7D)
E[x²]=0+5+250+8250
<em>E[x²]=8505
</em>
Then the variance will be:
Var[x]=8505-7744
<u><em>Var[x]=761
</em></u>
answer:
point D
step-by-step explanation:
- all you have to do is try to find what each point is
- you will see that D is (4,-5)
Answer:
-25/12
Step-by-step explanation:
I assume you want to subtract 4/3 from -3/4 OR combine -3/4 and -4/3.
Here the LCD is (4)(3) = 12.
Then -3/4 becomes -9/12 and -4/3 becomes -16/12.
Then -9/12 - 16/12 = -25/12
Answer:
x = 16.
Step-by-step explanation:
The 3 angles sum to 180 degrees so:
x + 19 + 6x - 7 + 56 = 180
7x + 68 = 180
7x = 112
x = 112/7 = 16.
First off,congruent triangles are triangles that are equal to another,having the same area,length of sides and angles.
Judging visually,the triangles that are congruent would be:
C and E-as they are both in smaller size.
D and F-as they are both significantly irregular.
That would left A and B:
A-it is very large in size that none other could match
B-it is the only isosceles triangle.
Thus the answer is A and B as they do not match with any others.
Hope it helps!
