Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
Step-by-step explanation:
Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.
The probability that a customer makes a purchase is, <em>p</em> = 0.52.
The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.
The probability mass function of <em>X</em> is:

The expected value of a Geometric distribution is:

(a)
Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:


This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.
(b)
Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.
9514 1404 393
Answer:
x-intercept: 7/6
Step-by-step explanation:
The x-intercept is found by solving for x when y=0.
0 = 6x -7
7 = 6x . . . . . add 7 to both sides of the equation
7/6 = x . . . . divide both sides by 6
The x-intercept is 7/6 = 1 1/6 ≈ 1.167.
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The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.
Answer:
9:30am
Step-by-step explanation:
Given data
Start time= 8:20am
Folding time= 25min
Time spent on Puzzle= 45min
Total time = 25+45= 70min= 1:10 min
Therefore the time she finishes is
8:20+ 1:10= 9:30 am
Hence she finished by 9:30am
Answer:
a) acute angle
b) obtuse angle
c) right angle
d) reflex angle
e) straight line angle
f) acute angle
Step-by-step explanation:
Acute angle
- angle that is smaller than 90°
- 0° < θ < 90°
Right angle
- angle that is 90°
- shaped of a "L"
Obtuse angle
- angle that is greater than 90° but smaller than 180°
- 90° < θ < 180°
Straight line angle
- angle that is 180°
- drawn in a straight line
Reflex angle
- angle than is greater than 180°
- θ > 180°