Answer:
9.76
Step-by-step explanation:
area of a rectangle = length * breadth
length = (2x + 3)
breadth = x
given area is 220 sq. inches.
thus,
220 = x * (2x+3)
220 = 2x² +3x
2x² + 3x -220 = 0
x = (-b + √ ( b²-4ac) ) ÷ 2a
x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2
x =9.76
Answer:
A drink is 5 so two are 10...
And original cost-if saves 4 is 18
so 18-10=8
Popcorn is 8 dollars i think
Given :
P( X = 70 ) = 0.62 .
P( X = 80 ) = 0.23 .
To Find :
We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .
Solution :
We need to find :

We know ,

So ,

Hence , this is the required solution .
I'm going to assume this reads

and the path
is parameterized by

with
. Under this parameterization,

and

Then in the integral,


(It's unlikely that an exact answer can be found in terms of elementary functions)
Answer:
3c) x = 1/4, x = 6
3d) t = 0, t = 4
Step-by-step explanation:
3c).....................................
- 6x² - 15x + 2 = 2x² + 10x - 4
- 4x² -25x + 6 = 0
- 4x² - 24x - (x - 6) = 0
- 4x(x -6) - (x - 6) = 0
- (4x - 1)(x - 6) =0
- 4x - 1 = 0 ⇒ 4x = 1 ⇒ x = 1/4
- x - 6 = 0 ⇒ x = 6
==============================
3d).....................................
- - 16t² + 76t + 5 = 12t + 5
- -16t² + 64t = 0
- t² - 4t = 0
- t(t - 4) = 0
- t = 0
- t - 4 = 0 ⇒ t = 4