Answer:
Step-by-step explanation:
First, we need to write the polynomial in descending order
Then, grab the term with the highest power from the polynomial and divide it by the term with highest power from the polynomial located at the other side of the division symbol (this polynomial would be x+5)
The result (4x^2 / x) = 4x
This term will be part of the solution, and will be use to start the process of division.
This process start with the previous obtained term (4x), which will be multiplied by the polynomial from the other side of the division symbol (x+5).
The result another is another polynomial
This new polynomial will be multiply by negative 1
The new polynomial is then added to the poly (4X^2+14x-9)
The result will constitute a new poly, that will be use as the remaining of the division.
Since, our remaining differs from zero, and we still have member to simplify, we repeat the step 1 using the remaining as the new poly that needs to by divided by (x+5).
The attached picture explains the whole procedure.
Let's call the Ameri-Mobile activation fee A, and the Cell-U-Later activation fee B.
Let's call the Ameri-Mobile monthly payment c, and the monthly Cell-U-Later monthly payment d
Let's call n the number of months
The cost of the Ameri-Mobile (in business, that's often called "total cost of ownership) is then:
(a + c * n)
<em>The cost of the plan after n months is the activation fee, plus each monthly payment times the number of months paid</em>
The cost of Cell-U-Later is, similarly:
(b + d * n)
You can even find out how many months you'd need to keep the plan for each plan to be equal (the longer you keep the plan, the better is the Cell-U-Later plan, because the activation fee distributes across a higher number of months), by plugging in numbers and solving this equation for n (but that's a bit more advanced):
a + c*n = b + d* n
In order to solve this problem, you must divide 30 beads by 5 beads to get 6 pairs of purple beads. Then multiple 6 by 2 to get 12 white beads.
In ratio form, this can look like 30:12
Answer:
A.) 20
Step-by-step explanation:
According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
