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Sever21 [200]
3 years ago
5

Alice and Bob took a test, which has ten questions. Given that Alice answered six questions correctly and Bob answered eight que

stions correctly, compute the probability that there exists at least one question on the test which is answered correctly by Alice but not by Bob.
Mathematics
1 answer:
lozanna [386]3 years ago
5 0

Answer:

0.12

Step-by-step explanation:

Total number of questions in the book = 10

Number of questions answered correctly by Alice = 6

Number of questions answered correctly by Bob = 8

Probability of Alice answering a question correctly = 0.6

Probability of Alice answering a question incorrectly = 1- 0.6 = 0.4

Probability of Bob answering a question correctly = 0.8

Probability of Bob answering a question incorrectly = 1- 0.8 = 0.2

Probability that there exists at least one question on the test which is answered correctly by Alice but not by Bob = 0.6 *0.2 = 0.12

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2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
3 years ago
What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.)
katen-ka-za [31]
769.3= (3.14) r^2 *5
153.86=(3.14) r^2
49= r^2
The square root of 49 is 7

The answer is 7.
6 0
4 years ago
Read 2 more answers
the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width
natali 33 [55]
What's the question?
7 0
3 years ago
Read 2 more answers
7(1 - 76) - 2b = -197
noname [10]

Answer:

b= -164

Step-by-step explanation:

calculate the difference

7x(-75)-2b= -197

multiply the numbers

-525-2b= -197

move the constant to the right- hand side and change the sign

-2b= -197+525

add

-2b=328

divide

b= -164

4 0
3 years ago
What is the range of the function?
Eduardwww [97]

Answer:

C.

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the function

which is here just (3 , 9 , 12)

so the choice is C.

6 0
2 years ago
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