Probability that you have chosen 2 red marbles is 3/11
<h2>How to solve?</h2>
Total number of marbles = 6 + 5 = 11
Number of red marbles = 6
Number of blue marbles = 5
Important Points:
1. Replacement is not allowed
2. Blue is followed by Red
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Probability of Blue first = 5/11
Probability of Red second = 6/10 (one marble is already taken out)
Probability = 5/11 * 6/10 = 3/11
Learn more about Probability:
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Answer:
x= 1
y= -3
Step-by-step explanation:
multiply them to get common factor for y or x:
3(7y+10x=-11)
10(4y-3x=-15)
21y+30x=-33
40y-30x=-150 <em>x's cancel out so solve for y</em>
61y = -183
/61 /61
y = -3 <em> insert y into either equation and solve for x</em>
<em />
<em>4(-3) -3x=-15</em>
<em>x = 1</em>
Answer:
A recent Harris poll asked a random sample of 1016 adults nation-wide whether or not they smoked cigarettes. 22% said they smoked. Based on this sample, can you conclude that...
a.) The expected value for the percent of all adults world-wide who would say they smoked cigarettes is 22%?
b). The expected value for the percent of students at UI who would say they smoked cigarettes is 22%?
c). The expected value for the percent of professors at UI who would say they smoked cigarettes is 22%?
d). The expected value for the percent of all US adults who would say they smoked cigarettes is 22%?
The correct answer is
d).The expected value for the percent of all US adults who would say they smoked cigarettes is 22%?
Step-by-step explanation:
The expected value is arrived at by finding the product of a possible output and the probability that the output will occur and summing up the results. Expected value can be used for investment management to calculate options and make decisions most likely to bring about the desired gain. The random variable provides categorisation of the outcomes of the game while the expected provides the probability of aan outcome
In the above, the source of the sample is nationwide whereby 22 % said they smoked therefore it cannot be applied to a different population that has a different expected value for the same survey.
Answer:
A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2
Step-by-step explanation:
<u>Step 1: Determine the sides</u>
A → 3 ft
B → 7 ft
C → 4 ft
D → 5 ft
<u>Step 2: Determine the surface area</u>
Area of the sides
![A= 4\ ft * 7\ ft = 28\ ft^2](https://tex.z-dn.net/?f=A%3D%204%5C%20ft%20%2A%207%5C%20ft%20%3D%2028%5C%20ft%5E2)
![A= 5\ ft * 7\ ft = 35\ ft^2](https://tex.z-dn.net/?f=A%3D%205%5C%20ft%20%2A%207%5C%20ft%20%3D%2035%5C%20ft%5E2)
![A= 3\ ft * 7\ ft = 21\ ft^2](https://tex.z-dn.net/?f=A%3D%203%5C%20ft%20%2A%207%5C%20ft%20%3D%2021%5C%20ft%5E2)
Area of the top and bottom triangles
![A= \frac{h\ *\ b}{2} = \frac{3\ ft\ *\ 4\ ft}{2} = \frac{12\ ft^2}{2} = 6\ ft^2 = 2(6\ ft^2) = 12\ ft^2](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7Bh%5C%20%2A%5C%20b%7D%7B2%7D%20%3D%20%5Cfrac%7B3%5C%20ft%5C%20%2A%5C%204%5C%20ft%7D%7B2%7D%20%3D%20%5Cfrac%7B12%5C%20ft%5E2%7D%7B2%7D%20%3D%206%5C%20ft%5E2%20%3D%202%286%5C%20ft%5E2%29%20%3D%2012%5C%20ft%5E2)
Total Area
![28\ ft^2 + 35\ ft^2 + 21\ ft^2 + 12\ ft^2](https://tex.z-dn.net/?f=28%5C%20ft%5E2%20%2B%2035%5C%20ft%5E2%20%2B%2021%5C%20ft%5E2%20%2B%2012%5C%20ft%5E2)
![96\ ft^2](https://tex.z-dn.net/?f=96%5C%20ft%5E2)
Answer: A = 3 ft, B = 7 ft, C = 4 ft, D = 5 ft, Surface Area = 96 ft^2