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mash [69]
3 years ago
13

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th

e highest bid in excess of $9,600 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,600 and $14,500. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?
Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

0.49 = 49% probability that your bid will be accepted

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between $9,600 and $14,500.

This means that a = 9600, b = 14500

Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

Your bid will be accepted if the competitor's bid X is lower than 12000. So

P(X \leq 12000) = \frac{12000 - 9600}{14500 - 9600} = 0.49

0.49 = 49% probability that your bid will be accepted

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The Humphrey family is traveling 1,325 miles for their family vacation. Last year, they traveled 724 miles. They drove 420 miles
Alona [7]

Answer: They have 775 miles left to be traveled

Step-by-step explanation:

Miles required to travel for vacation = 1,325 miles

Miles already traveled = Miles driven this week + miles driven today

= 420 miles + 130 miles

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Miles remaining to be covered =Miles required to travel for vacation --- Miles already traveled

= 1,325 miles - 550 miles

= 775 miles

8 0
3 years ago
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Find a new function g(x) transformed from f(x)=-x-2 such that g(x) is perpendicular to f(x) .
sineoko [7]

The new function is g(x) =-1(1/-x) +2.

The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.

Convert f(x) to g(x)

where the conversion is g(x)=f(x)+2.

A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)

So, f(x)=-x-2  ; m = -1

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6 0
1 year ago
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
34kurt

Answer:

  • Infinitely many solutions

Step-by-step explanation:

First, let's organize the equations of the lines into slope-intercept form.

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And,

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Since both the graphs are the same, the two equations have infinitely many solutions.

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If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.

<h3>What is the solution of the equation?</h3>

A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.

The equation is given below.

2(g - h) = b + 4

Then solve the equation for the value of g. Then we have

2(g - h) = b + 4

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1 - (1/4 + 2*1/4)
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