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UNO [17]
4 years ago
14

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s

peeches, what is the probability that joey with be first, chloe will be second, and zoe will be third?
A: 1/1320 B: 1/4 C: 1/48 D: 1/220
Mathematics
1 answer:
forsale [732]4 years ago
3 0

The probability of choosing Joey first is  1/12 .

If that happens, the probability of choosing Chloe next is  1/11 .

Then, the probability of choosing Zoe after that is  1/10 .

The probability of all these things happening is

          (1/12) x (1/11) x (1/10) 

       =  1/1320 = 0.00076 = 0.076 percent 

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Answer:

The output is 23

Step-by-step explanation:

we know that

f(x) ----> is the output

x ----> is the input

we have that

f(x)=3x-1

For x=8 (input)

Find the value of f(x) (output)

f(8)=3(8)-1=23

The output is 23

7 0
3 years ago
1.44 Make-up exam: In a class of 28 students, 27 of them took an exam in class and 1 student took a make-up exam the following d
Olenka [21]

Answer:

a) Decrease

b) New mean = 78.43

c) Decrease                        

Step-by-step explanation:

We are given the following in the question:

Total number of students in class = 28

Average of 27 students = 79

Standard Deviation of 27 students = 6.5

New student's score = 63

a) The new student's score will decrease the average.

b) New mean

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean = \dfrac{\displaystyle\sum x_i}{27} = 79\\\\\sum x_i = 27\times 79 = 2133

New mean =

\text{ New mean} =\dfrac{ \displaystyle\sum x_i +63}{28}\\\\ =\dfrac{2133+63}{28}= \dfrac{2196}{28} = 78.43

Thus, the new mean is 78.43

c) Since the new mean decreases, standard deviation for new scores will decrease.

This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease

Formula for Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

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3 years ago
Pls help me solve this thank u
zaharov [31]

Answer:

1. 12

2. 32

3. 8

4. 1

5. 14

Step-by-step explanation:

The above numbers represent the empty boxes from top to bottom.

1. (.4 +1.6) = 2 x 6 = 12

2. (24 ÷ 3 x 4) = 8 x 4 = 32

3. 8 ÷ (9-5) + 3 x 2. You have to remember Order of Operations on this one.

8 ÷ 4 + 3 x 2

2 + 6 = 8

4. 28 ÷ 7 x 1/4

4 x 1/4 = 1

5. (6 x 5) - (4 x 4)

30 - 16 = 14

hope this helps, brainliest is always appreciated.

7 0
4 years ago
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labwork [276]

Answer:

3.2 km

Step-by-step explanation:

4cm÷5km=0.8 per cm to km

4km×0.8 km=3.2 km represents

6 0
2 years ago
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