Answer:
For this case we know that the random variable of interest would be X and the distribution for X is given by:
And by properties of this distribution the expected value for this case is:
And the variance :
Step-by-step explanation:
For this case we know that the random variable of interest would be X and the distribution for X is given by:
And by properties of this the expected value for this case is:
And the variance :
Let the 3 sides of a triangle be a,b and c
For it to be a triangle then
a + b > c , a + c > b , b + c > a
12 , 12 , 20
12 + 12 > 20
24 > 20
12 + 20 > 12
32 > 12
Hence is a triangle
10,3,7
3 + 7 .....10
10 = 10
Hence is not a triangle since it does not satisfy the rules above
7,7,11
7 + 7 .... 11
14 > 11
11 + 7 ..... 7
18 > 7
Hence the figure formed is a triangle
24,9,12
9 + 12 .... 24
21 < 24
Hence is not a triangle
The rule is that for 3 numbers to form the sides of a triangle then the sum of any 2 of the numbers should be equal to the third
Since 60 dollars is the maximum, the cost (c) has to be equal to or less than 60. Writing that out, we get c≤60. We want to figure out the cost. Since hamburgers are 3$ per pound, if we buy x pounds of hamburgers we pay 3x dollars due to that we add 3 for every hamburger. Similarly, if the amount of hot dogs is y, we have 2y as the cost for the hot dogs. The cost is (cost of hamburgers)+(cost of hot dogs), so c=3x+2y and since c≤60, we plug 3x+2y in for c to get 3x+2y≤60
Y= mx +b
the first line:
sustitute:
4=m(-2)+b
remplace intercept in y:
4=-2m-6
-2m=(4+6)/-2
m=-5
The first equation is y=-5x-6
For the perpendicular the slope is 1/5
so
y-y1=m(x-x1) use the second coordenates
y+4= 1/5(x-5)
y=(1/5)x-1-4
y=(1/5)x-5 That's the answer: Letter C
