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3 years ago

Why does dividing by 5 by a decimal less than 1 give a quotient greater than 5

1 answer:

6 0

Because dividing 5 by something means "how many times
can that 'something' fit into 5 ?

If the 'something' is less than ' 1 ', then of course it can fit into 5
more than 5 times.

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There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

4 years ago

How do you get the domain and range of a bar graph

Murljashka [212]

X is the domain and y is the range

7 0

3 years ago

The product of two consecutive numbers is 182

kupik [55]

2 consecutive numbers....x and x + 1

x(x + 1) = 182
x^2 + x = 182
x^2 + x - 182 = 0
(x - 13)(x + 14) = 0

x - 13 = 0
x = 13

x + 14 = 0
x = -14....not this one because it is negative

x + 1 = 13 + 1 = 14

ur 2 numbers are : 13 and 14

8 0

3 years ago

What happens to a number when you multiply by 1000? Why does this happen?

Elis [28]

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

8 0

2 years ago

What is the area of a triangle with a base of five units and a height of 15 units

Leviafan [203]

Answer:

37.5

Step-by-step explanation:

5*15=75 then 75/2=37.5

4 0

3 years ago