Answer:
6x²-26x+31
Step-by-step explanation:
(x²-3x+5)(2x-7)
=2x³-7x²-6x²+21x+10x-35
=2x³-13x²+31x-35
Now to differentiate:
dx=6x²-26x+31
Answer:
a) P=0.535
b) P=0.204
c) P=0.286
Step-by-step explanation:
The exponential distribution is expressed as

In this example, λ=1/8=0.125 min⁻¹.
a) The probability of having to wait more than 5 minutes

b) The probability of having to wait between 10 and 20 minutes

c) The exponential distribution is memory-less, so it is independent of past events.
If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

Answer:
936
Step-by-step explanation:
Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
Answer:
1,2,3,4,6,8,12,16,24,32,48
Step-by-step explanation: