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3 years ago

Suppose there are n students in a class what is the probability at least two students have same birthday

Mathematics

2 answers:

vitfil [10]3 years ago

5 0

I don't have enough info to solve this

Katyanochek1 [597]3 years ago

5 0

P(at least two have same birthday) =
1 - (1/2)^(n).

Since no specific number of students is given, we only get an expression.

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What is the measure of B?

densk [106]

Answer:

Step-by-step explanation:

5 0

2 years ago

Two parallelogram-shaped pieces of tile have the same area. One has a base of 20 centimeters and a height of 15 centimeters. The

gtnhenbr [62]

Answer:

height = 12 cm

Step-by-step explanation:

Parallelogram 1:

Area = base *height = 20 * 15 = 300 sq. cm

Area of parallelogram 2 = area of parallelogram 1

25 * height = 300

height = 300/25

height = 12 cm

8 0

2 years ago

Exercise 7.3.5 The following is a Markov (migration) matrix for three locations        1 5 1 5 2 5 2 5 2 5 1 5 2 5 2 5 2

fredd [130]

Answer:

Both get the same results that is,

$\left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

Step-by-step explanation:

Given :

$\bf M=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]$

and initial population,

$\bf P=\left[\begin{array}{ccc}130\\300\\70\end{array}\right]$

a) - After two times, we will find in each position.

$P_2=[P].[M]^2=[P].[M].[M]$

$M^2=\left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]\times \left[\begin{array}{ccc}\frac{1}{5}&\frac{1}{5}&\frac{2}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{1}{5}\\\frac{2}{5}&\frac{2}{5}&\frac{2}{5}\end{array}\right]$

$=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]$

$\therefore\;\;\;\;\;\;\;\;\;\;\;P_2=\left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right] \times\left[\begin{array}{ccc}130\\300\\70\end{array}\right] = \left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

b) - With in migration process, 500 people are numbered. There will be after a long time,

$After\;inifinite\;period=[M]^n.[P]$

$Then,\;we\;get\;the\;same\;result\;if\;we\;measure [M]^n=\frac{1}{25} \left[\begin{array}{ccc}7&7&7\\8&8&8\\10&10&10\end{array}\right]$

$=\left[\begin{array}{ccc}140\\160\\200\end{array}\right]$

4 0

2 years ago

Find the HCF using prime factors of 36 and 54

nataly862011 [7]

Answer:

Step-by-step explanation:

2x18 is 36 and 3x18 is 54

8 0

2 years ago

In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?

mestny [16]

Work 1:
Successful Percent:
15 divided by 20 equals .75
.75 times 100 is equal to 75
75%
Not successful Percent:
100% minus 75% equals 25%
25%
Work 2:
20 minus 15 equals 5
5 divided by 20 is equal to .25
.25 times 100 is equal to 25
25%

7 0

2 years ago