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WINSTONCH [101]
3 years ago
14

5!(3!)/4! all include factorials. what to do?

Mathematics
1 answer:
shtirl [24]3 years ago
6 0
5! Is the same as 5x4x3x2x1 and 4! Is the same as 4x3x2x1 because 4! Is in the denominator it cancels the 4x3x2x1 in the numerator and you are left with 5x(3!) witch is the same a 5x3x2x1. The answer=30
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A card is drawn from a standard deck of 52 playing cards. If the card is a club, a fair coin is flipped 9 times and the number o
olasank [31]

Answer: There are 18 elements in the sample space for this experiment

Step-by-step explanation:

Total cards = 52

Total outcomes on tossing a coin = 2   [1 head , 1 tail]

If the card is a club, a fair coin is flipped 9 times and the number of heads flipped is noted (but card drawn is not noted)).

Possible outcomes for heads = 0,1,2,...,9

So sample space for this event = {0,1,2,3,4,5,6,7,8,9} <em> </em><em> (Total </em><em>10 elements</em><em> ) </em><em> (i)</em>

If it is not a club, the coin is only flipped 3 times, but this time the result of each flip is noted(but card drawn is not noted).

Sample space with all possible outcomes ={TTT,TTH, THT, HTT, HTH,HHT,THH,HHH}   <em> (Total </em><em>18 elements</em><em> )  </em><em>(ii)</em>

<em />

From (i) and (ii), Total elements in the sample space for this experiment = 10+8 = 18

Hence, there are 18 elements in the sample space for this experiment

4 0
3 years ago
Rene is going to the lake to visit some friends if the lake is 60 miles away, and rene is driving a 40 miles per hour the entire
Ostrovityanka [42]
40/60=60/x...forty miles in sixty minutes is equal to 60 miles in 40 minutes.....40x=3600....x=90..90 minutes
4 0
4 years ago
You roll a 6-sided die. What is the probability of rolling a 4? Write it as a fraction. P(4)=
Shkiper50 [21]

Answer:

P(4)= 1/6

Step-by-step explanation:

Lots of Love!! <3

Stay Safe! Stay at Home!! =)

8 0
3 years ago
Read 2 more answers
What is 54t x 65f please help me on this question
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I think it is 3510ft
7 0
3 years ago
teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po
mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible <em>top score</em> is <u>21</u>

The maximum possible <em>top score</em> is <u>32</u>

The <em>minimum </em>of the possible <em>standard deviation</em> is approximately <u>1.26</u>

The <em>maximum </em>of the possible <em>standard deviation</em> is approximately <u>11.7</u>

<u />

The reason the above values are correct are as follows:

<u />

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

  • The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is <u>21</u>

<u />

  • The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is <u>32</u>

<u />

  • The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ <u>1.26</u>

  • The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ <u>11.7</u>

<u />

Learn more about mean and median here:

brainly.com/question/17012793

8 0
3 years ago
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