(-2x^3 +x -5) * (x^3 -3x)
= x^6*(-2*1) +x^4*(-2*-3 +1*1) +x^3*(-5) +x^2*(-3) +x(-5*-3)
= -2x^6 +7x^4 -5x^3 -3x^2 +15x
Given a point in coordinates form
, one can compute the cartesian form like this:
We have:
We get the cartesian form then:
Answer: 64% of garbage was plastic over there when he was collected garbage.
Step-by-step explanation:
Since we have given that
Total amount of garbage collected by them = 25 pounds
Total amount of garbage which consisted of plastic = 16 pounds
Percent of the garbage was garbage is given by
Hence, 64% of garbage was plastic over there when he was collected garbage.
Answer:
8.9 × 10^{4}
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Follow the steps below to see how 89,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 89,000
New Number: 8.9000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 8 . 9 0 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.9 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
8.9 x 10^{4}
Step 4
Check your work:
10^{4} = 10,000 x 8.9 = 89,000
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
3. Probability that more than two customers are waiting =
