The expected number of a dataset is the mean of the dataset
The expected number of selection is: [tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]The expected number of distinct birthdays is: [tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]The given parameters are:
[tex]\mathbf{n = 100}[/tex] --- sample size
[tex]\mathbf{r = 3}[/tex] --- selection of 3 people
(a) The expected number of birthdays
The probability of a having a birthday on a certain day is:
[tex]\mathbf{p = \frac{1}{365}}[/tex]
The probability of not having a birthday on the day is:
[tex]\mathbf{q = \frac{364}{365}}[/tex]
For a selection of 3 people in 100, the expected number of selection is:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times p^3 \times q^{100 - 3}}[/tex]
So, we have:
[tex]\mathbf{E(x) = Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{100 - 3}}[/tex]
Rewrite as:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
(b) Expected number of distinct birthdays
The probability that a person from the has his birthday on a certain day is:
[tex]\mathbf{p = 1 - (\frac{364}{365})^{100}}[/tex]
For 365 days, the expected number of distinct birthdays is:
[tex]\mathbf{E(x) = Days \times (1 - (\frac{364}{365})^{100})}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]
Read more about expected values at:
https://brainly.com/question/22097128
all of the equations to –32 = k + –19
Answer:
[tex]k = - 13 [/tex]
Step-by-step explanation:
[tex] - 32 = k - 19 \\ -32 + 19 = k \\ - 13 = k[/tex]
Please help me quick this is due very soon!!!
Answer:
8
Step-by-step explanation:
you can see because it tells you if you look at the numbers it goes 1-8
Thereisalinethatincludesthepoint(1, 10)andhasaslopeof5
. What
isitsequationin
slope -intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answer: y=5x + 5
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The slope is given as 5, so we have y = 5x + b.
To find b, enter the given point (1,10) and solve for b:
y = 5x + b
10 = 5(1) + b
b = 5
The equation of a line with slope 5 and point (1,10) is y=5x + 5.
Check this with a DESMOS graph (attached).
How is the graph if y=2x^2 -9 different from the graph of y=2x^2+8
Answer:
y=2x^2+8 on a graph is smaller than y=2x^2-9 on a graph.
Step-by-step explanation:
I don't have the braincell to do this
A + -7 = -15, someone find the value of the variable for me lol
Answer:
A = -8
Step-by-step explanation:
A + -7 = -15
Add 7 to both sides. You now get:
A = -8
Hope this helped!
Answer:
A = -8
Step-by-step explanation
I don't know how to give you a explanation on this but here you go. lol
Help meee with this worksheet pleasee!!!
Find the value of 3x + 2 when 7 + x = 5
Answer:
5x I think I don't know is it right look in calculator
The value of (3x + 2) when (7 + x = 5) is -4.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following equation as -
x + 7 = 5
We can write -
x + 7 = 5
x = 5 - 7
x = - 2
Now, we have to find -
3x + 2
3(-2) + 2
- 6 + 2
- 4
Therefore, the value of (3x + 2) when (7 + x = 5) is -4.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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Which expression has a negative value?
2+12
O (-3)(-8)
O 10-(-18)
O -35-5
Please huryyyy
Answer:
-72!!!!!!!!
Step-by-step explanation:
What’s (2^2+8)x7 please help
Answer:
84
Step-by-step explanation:
2^2=4
4+8=12
12*7=84
Find the equation of the line that passes through (2,-1) and is parallel to
y = 4 - 2x.
Leave your answer in the form y = mx + c
Answer:
2
Step-by-step explanation:
you needed to rotate the point (-4,-5) 180, what would the new
coordinate be?
Solve for x in the equation below.(x – 2) = –14(x – 8)
Answer:
x =38/5
Step-by-step explanation:
(x – 2) = –14(x – 8)
Distribute
x-2 = -14x+112
Add 14x to each side
x-2+14x = -14x+14 +112
15x-2 = 112
Ad 2 to each side
15x-2+2 = 112+2
15x= 114
Divide each side by 15
15x/15 = 114/15
x=114/15
Divide top and bottom by 3
x =38/5
Answer:
x = 7.6
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Remove the parentheses by expanding.
Solve for x[tex](x - 2) = -14(x - 8)[/tex][tex]x - 2 = -14x + 112[/tex][tex]15x = 114[/tex][tex]x = 7.6[/tex]The value of x is 7.6.
31.85 is 24.5% of what number
HELP ME SHOW MY WORK PLS I BEG
Uh yeah I need help can someone please explain to me please and thank you :)
Answer:
53/36
Step-by-step explanation:
56/36 is already in it's simplest form
Answer:
1 17/36
Step-by-step explanation:
Turn each fraction into their LCD (least common denominator)
5/9 turns into 20/36
11/12 turns into 33/36
add 20 + 33 = 53
Keep denominator 53/36
53/36 simplified as mixed number = 1 17/36
Can you help me in this question ASAP!!!
Answer:
y-intercept=1000
slope=400
y=400x+1,000
Find the 11th term of the geometric sequence 7,35,175,..
BAKING Pablo is making muffins for a bake sale. Before he starts baking, he goes online to
research different muffin recipes. The recipes that he finds all specify baking temperatures
between 350°F and 400°F, inclusive. Write an absolute value inequality to represent the possible
temperatures t called for in the muffin recipes Pablo is researching.
Answer:
350°F and 400°F
Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes a total of $816 per year. How much less each month does James make than Matt?
Equation: 12(80 – x) = 816
Solve the linear equation to find the value for x.
x =
How much does James earn each month?
Remember that x represents how much less per month James makes than Matt.
Answer:
its uh 56
Step-by-step explanation:
Determine the intercepts of the line
Answer: x intercept= (-10,0) y intercept = (0,-40)
Just look at where the line hits the x axis for the x intercept, then those coordinates are your x intercept. Then for the y intercept, look at where the line meets the y axis and then that point's coordinates are your y intercept.
Hope this helps!
(5x^2-6)^2-(5x^2+6)^2
Answer:
Step-by-step explanation:
[tex](5x^2-6)^2-(5x^2+6)^2\\=(5x^2-6+5x^2+6)(5x^2-6-5x^2-6)\\=(10x^2)(-12)\\=-120x^2[/tex]
Determine the value of x and y given that line m and n are parallel
Answer:
[tex]^{}[/tex]wer here. Link below!
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Answer:
x = 15
y = 9
Step-by-step explanation:
( 4y + 9 ) and 15y are co - interior angles.
Sum of co - interior angles is 180,
4y + 9 + 15y = 180
4y + 15y = 180 - 9
19y = 171
y = 171 / 19
y = 9
( 6x - 15 ) and ( 4x + 15 ) are alternate exterior angles.
Alternate exterior angles are equal,
6x - 15 = 4x + 15
6x - 4x = 15 + 15
2x = 30
x = 30 / 2
x = 15
Omar is saving to buy a car on his 18th birthday. He plans on spending $4,500. How much must he save each week, if he plans to work the entire year with seven weeks off?
Your class is having a raffle for a new graphing calculator. You bought 2 raffle tickets while everyone else in your class bought 1. There are 15 people in your class in addition to you. What is the probability that you will win the calculator?
Step-by-step explanation:
so, there are 14 people with 1 ticket each, and I have 2 tickets.
that means there are 16 tickets (14+2) in the raffle.
each ticket has therefore a winning probability of 1/16.
I have 2 tickets, so my winning probabilty is therefore
1/16 + 1/16 = 2/16 = 1/8
4 x 10 5+ 3.3 x 10 6
Answer:
389.8 cmiiw
Step-by-step explanation:
just use your calculator
Please help thanks dhejekekdmf
Answer:
60° is the answer
mark me brainliest
In this diagram , parallel lines are cut by transversal
Given: m< 3 (6x-5)° and m < 8 = (4x +15)°
What is the value of x
X=?
Answer:
Here is the answer x = 8, m∠8 = 115°
Step-by-step explanation:
19% of __ is 4.56 can someone help
Answer:
the answer is 24
.........................
A rectangle has side lengths of 9x+12 and 3x+7. What is the perimeter
Answer:
B. 24x + 38
Step-by-step explanation:
Since this is a rectangle, there will be a pair of sides that are the same. With perimeter, add up the side lengths.
[tex]2(9x+12)+2(3x+7)\\\\18x+24+6x+14\\\\24x+38[/tex]
Please help!! Thank you guys!! :)))
Answer:
Second table
Step-by-step explanation:
y = 8x + 3 (x, y)
8(2) + 3 = 19 (2, 3)
8(4) + 3 = 35 (4, 35)
8(6) + 3 = 51 (6, 51)
8(8) + 3 = 67 (8, 67)
8(10) + 3 = 83 (10, 83)
the answers options are
consecutive interior angles
alternate interior angles
alternate exterior angles
corresponding angles
virtical angles
linear pair
Answer:
m∠7= corresponding angle
m∠5= Alternate Interior Angle
m∠6= Consecutive Interior Angle
m∠2= Linear pair
Step-by-step explanation:
