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Margaret [11]
3 years ago
6

An architect is considering bidding for the design of a new museum. The cost of drawing plans and submitting a model is ​$13 com

ma 000. The probability of being awarded the bid is 0.1. If the architect is awarded the​ bid, she will make ​$130 comma 000 minus the ​$13 comma 000 cost for plans and a model.
What is the expected value in this situation?
Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

$0

Step-by-step explanation:

So there's a 0.1 probability of winning $130000 minus $13000 cost and 0.9 chance of losing $13000

Then the expected value of this game is

Probability of winning * winning value + probability of losing * losing value

0.1*(130000 - 13000) - 0.9*13000 = 11700 - 11700 = $0

Anyone playing this game should make even after a while

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Which solid has a greater volume
Triss [41]

Answer:

The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).

Step-by-step explanation:

Cylinder:

-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:

V = \pi r^2 h

V = \pi 2^2 6

-Solve:

V = \pi 2^2 6

V = \pi \times 2^2 \times 6

V = \pi \times 4 \times 6

V = \pi \times 24

V = 24\pi \approx 75.39

--------------------------------------------------------------------------------------------------------

Cone:

-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:

V = \frac{1}{3} \pi r^2h

V = \frac{1}{3} \pi 3^28

-Solve:

V = \frac{1}{3} \pi 3^28

V = \frac{1}{3} \times \pi \times 3^2 \times 8

V = \frac{1}{3} \times \pi \times 9 \times 8

V = \frac{1}{3} \times \pi \times 72

V = \frac{1}{3} \pi \times 72

V = 24\pi \approx 75.39

-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.

Cylinder: 75.39 ft^3

Cone: 75.39 ft^3

5 0
3 years ago
Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
Alona [7]

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

     y = price of child ticket

(1)    175x + 103y = 13796               (2)    2x + 2y = 184

                                                                 x + y = 92

                                                                       y = 92 - x

      175x + 103(92 - x) = 13796

      175x + 9476 - 103x = 13796

       72x = 4320

           x = 60                                                  y = 92 - 60

                                                                        y = 32

4 0
3 years ago
Help asap 1 question 98 points!!!!
LenaWriter [7]

-0.6(-6.3)

When 2 numbers are side by side it is a multiplication problem.


Multiply -0.6 by (-6.3)

-0.6 x -6.3 = 3.78

8 0
3 years ago
Read 2 more answers
If 50 percent of x=66 then x =
sasho [114]

Answer:

132

Step-by-step explanation:

50 % means half

so 66 is half of whatever x is.

to find x you have to multiply 66 by 2 or add 66 to 66 which will give you 132 either way.

<em>Hope this helps you! have an amazing day :)</em>

7 0
3 years ago
Read 2 more answers
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
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