This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
If the ratio is 4:3 divide the larger can by 4 which in a) is 25 then multiply by 3 to get surface area of smaller can which would be 75 square inches.
In part b) do the same so 150 divided by 4 is 37.5 multiplied by 3 is 112.5 cubic inches.
It doesn't matter if it is surface area or volume you still use the same ratio of 4:3
Answer:
y=1
x=-5
Step-by-step explanation:
3x+y=-14
4x+4y=-16
y=-3x-14
4x+4y=-16
y=-3x-14
4(-3x-14)+4x=-16
y=-3x-14
-8x-56=-16
y=-3x-14
-8x=40
y=-3x-14
x=-5
y=1
x=-5
Answer:
144
Step-by-step explanation:
36 ÷ 1/4
We will use copy dot flip
36 * 4
144
f(x) = 2 
-4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2 -4x which is the standard form
