Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

For the next unique toy, there is now a 3 in 5 chance of getting it:

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

Finally, there is a 1 in 5 chance to get the last unique toy:

The expected number of boxes to obtain a full set is:

Answer:


Step-by-step explanation:

Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

Factor out the coefficient of the quadratic term,

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

Simplify,



The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

u19=-71.74
Step-by-step explanation:
u5=a+4d=-3.7....(1)
u15=a+14d=-52.3....(2)
-10d=48.6
d=-48.6/-10
d=-4.86
Substitute-4.86 into....(1)
u5=a+4(-4.86)=-3.7
a+(-19.44)=-4.7
a=-3.7-(-19.44)
a=15.74
19term=a+18d=?
=15.74+18(-4.86)
=15.74+(-87.48)
19th term =-71.74
Answer:
Negative
Step-by-step explanation:
(if it's going downwards = negative)
insta: ymy.lu
Answer:
y = 1/7x + 88/7
Step-by-step explanation:
y = mx +b
since it is perpendicular you have to get the negative reciprocal of the slope which is 1/7
y = 1/7x + b then you would plug in your points
12 = 1/7(-4) + b and then solve for b
12 = -4/7 + b
+ 4/7
88/7 = b
y = 1/7x + 88/7