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svp [43]
4 years ago
10

N the following Earliest Start Time (EST) graph, assume each unit of time is an hour.

Mathematics
1 answer:
lesantik [10]4 years ago
5 0

Answer:

4

Step-by-step explanation:

It takes 4 hours to do task E using the route:  start ⇒B⇒E

It will take 6 hours to do task E if using route : start ⇒C ⇒E

Taking the shortest route, it will take 4 hours

You can apply the critical path method to identify the shortest route possible. First , specify the activity and look for their dependencies.Using the activity diagram, establish the activity completion time.Finally, identify the critical path using the best case estimate.

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I’ll mark brainlest
Alla [95]

Answer:

48,841,380.8

Step-by-step:

find 12% of 14,365,112= 1,723,813.44

then find 1,723,813.44×20= 34,476,268.8

then 34,476,268.8+14,365,112=48,841,380.8

3 0
3 years ago
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What exponential function is best fit for the data table?
Sedaia [141]
F(x) = 3(2)^(x − 2)<span> + 4</span>
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3 years ago
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Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

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}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

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

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
PLEASE HELP!! what is the equation for the parabolic function that goes through the points (-3, 67) (-1, 1) and has a stretch fa
barxatty [35]

Answer:

f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}

Step-by-step explanation:

So, we need to find the equation of a parabolic function that goes through the points (-3,67) and (-1,1) and has a stretch factor of 9.

In other words, we want to find a quadratic with a vertical stretch of 9 that goes through the points (-3,67) and (-1,1).

To do so, we first need to write some equations. Let's use the vertex form of the quadratic equation. The vertex form is:

f(x)=a(x-h)^2+k

Where a is the leading coefficient and (h,k) is the vertex.

Since a is the leading coefficient, it's also our stretch factor. Thus, let a equal 9.

Also, we have two points. We can interpret them as functions. In other words, (-3,67) means that f(-3) equals 67 and (-1,1) means that f(-1) equals 1. Write the two equations:

f(x)=a(x-h)^2+k\\f(-3)=67=9((-3)-h)^2+k

And:

f(x)=a(x-h)^2+k\\f(-1)=1=9((-1)-h)^2+k

Now, we essentially have a system of equations. Thus, to find the original equation, we just need to solve for the vertex. To do so, first isolate the k term in the second equation:

1=9(-1-h)^2+k\\k=1-9(-1-h)^2

Now, substitute this value to the first equation:

67=9(-3-h)^2+k\\67=9(-3-h)^2+(1-9(-1-h)^2)

And now, we just have to simplify.

First, from each of the square, factor out a negative 1:

67=9((-1)(h+3))^2+(1-9(((-1)(h+1))^2)

Power of a product property:

67=9((-1)^2(h+3)^2)+(1-9((-1)^2(h+1)^2))

The square of -1 is positive 1. Thus, we can ignore them:

67=9(h+3)^2+(1-9(h+1)^2)

Square them. Use the trinomial pattern:

67=9(h^2+6h+9)+(1-9(h^2+2h+1))

Distribute:

67=(9h^2+54h+81)+(1-9h^2-18h-9)

Combine like terms:

67=(9h^2-9h^2)+(54h-18h)+(81+1-9)

The first set cancels. Simplify the second and third:

67=36h+73

Subtract 73 from both sides. The right cancels:

67-73=36h+73-73\\36h=-6

Divide both sides by 36:

(36h)/36=(-6)/36\\h=-1/6

Therefore, h is -1/6.

Now, plug this back into the equation we isolated to solve for k:

k=1-9(-1-h)^2

First, remove the negative by simplifying:

k=1-9((-1)(h+1))^2\\k=1-9((-1)^2(h+1)^2)\\k=1-9(h+1)^2

Plug in -1/6 for h:

k=1-9(-\frac{1}{6}+1)^2

Add. Make 1 into 6/6:

k=1-9(-\frac{1}{6}+\frac{6}{6})^2\\  k=1-9(\frac{5}{6})^2

Square:

k=1-9(\frac{25}{36})

Multiply. Note that 36 is 9 times 4:

k=1-9(\frac{25}{9\cdot4})\\ k=1-\frac{25}{4}

Convert 1 into 4/4 and subtract:

k=\frac{4}{4}-\frac{25}{4}\\  k=-\frac{21}{4}

So, the vertex is (-1/6, -21/4).

Now, plug everything back into the very original equation with 9 as a:

f(x)=a(x-h)^2+k\\f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}

And this is our answer :)

8 0
3 years ago
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Factor the expression completely.<br> y^4 + x^2 y^2
erastova [34]

Answer:

y^2(x^2+y^2)

Factor y^4+x^2y^2

x^2y^2+y^4

=y^2(x^2+y^2)

5 0
3 years ago
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