Answer:
E[X] = 1
Var[X] = 1
Step-by-step explanation:
We are told that n people enter the restaurant and put their hats at the reception.
This means that there are n hats.
Also, we are told that eeach person gets a random hat back when going back after having dinner.
Thus, each person will pick a hat uniformly at random and will get a right hat back with the probability: 1/n.
The expectation is linear even though the random variables are dependent. Thus, the expected mean of the total number of persons who get their right hat back is: E[X] = n × 1/n = 1
Now, the variance in hat problem is given by;
Var[X] = E[X²] - E[X]²
This gives;
Var[X] = E[X²] - 1
Now, E[X²] is expressed as;
E[X²] = n(1/n) + n(n - 1)•(1/n)•(1/(n - 1))
E[X²] = 1 + 1
E[X²] = 2
Thus;
Var[X] = 2 - 1
Var[X] = 1
5. Maria is tracking the number of miles she runs in one week. She is using the track at her
school, which measures in meters.
Part A; if Maria runs 5.000 meters each week, how many miles does she rung Round your
answer to the nearest tenth. (1 meter = 1.09361 yards)
Answer:
0.00310 miles
Step-by-step explanation:
Maria runs 5 m each week. We need to find how miles she run. It means we need to convert meters to miles. The relation between meter and yards is as follows :
1 meter = 1.09361 yards
Also, 1 mile = 1760 yards
It means,
1 mile = 1609.34 m
1 m = (1/1609.34) miles
[tex]5\ m=\dfrac{5}{1609.34}\ \text{miles}\\\\=0.00310\ \text{miles}[/tex]
So, she will cover 0.00310 miles.
16.9 and 1.7 and 0.17 and 2.0 least to greatest
Answer:
0.17,1.7,2.0,16.9
Step-by-step explanation:
Answer:
0.17 1.7 2.0 16.9
Step-by-step explanation:
your going to look at the first number
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
12 time 10 times 10 times 10
Answer:i used a calculator 12000
Step-by-step explanation:12 × 10 × 10 × 10 = 12000
and have a nice Day :)
Answer:
12000
Step-by-step explanation:
If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)
Glenda placed $1900 in a savings account which compounds interest continuously at a rate of 2.4%. How much will she have in the account after 2 years?
Answer: $1,992
Step-by-step explanation: :)
What is the reciprocal of 8 5/6
The current population of a small town is 10,500, and its population is expected to grow at a rate of 5% per year. Which of the following functions represents the expected population of the town, where t is the number of years that have passed since the current year?
Answer:
f(x) = 10,500 x 1.05^t
2. What is the mass of an object that is 10 m above the ground and has
543 J of PE?
Decide what can be used to determine the equation of a line when you have two points, but no slope.
a.
slope-intercept form
c.
point-slope form
b.
general form
d.
slope formula, then use one of the given points to find the equation
Answer:
Slope formula!
Step-by-step explanation:
You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!
I really hope this helped!! Have a good day :)
Place the following fractions and decimals in order from least to greatest:
12/5
3 1/3
3 1/6
3.09
Answer:
.09,1/6,1/3,2/5
Step-by-step explanation:
Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3
Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.
tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10
421.2 - 305.8
Using mental math
Answer:
114.4
Step-by-step explanation:
421.2
-305.2
114.4
Do you guys know this
Answer && Step-by-step explanation:
Simple plug and chug
we know a+b == 6 so replace the set as 6 so:
2(6)+6/6+(6)^2-2
12+1+36-2
49-2
==47
102,918,029 Plus 16/3
Answer:
102,918,0343.3
Step-by-step explanation:
tbh idek if this is right :|
Answer:
ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh hmmmmmmmmmm i think carrot
Step-by-step explanation:
An experiment requires a sequence of three steps. The first step can result in six possible outcomes, the second in three possible outcomes, and the third in four possible outcomes. What is the total number of outcomes possible?
Answer:
72
Step-by-step explanation:
The total no of outcomes of an experiment is given by :
N = n₁× n₂ ×n₃ ×....
Where,
n₁,n₂,n₃... are possible outcomes in step 1,2,3 and so on
In this problem, there are 3 steps.
n₁ = 6, n₂ = 3, n₃ = 4
Total number of possible outcomes = 6(3)(4) = 72
Hence, there are 72 possible outcomes.
Let the function f be defined by f(x) = 12 -5x
4. Is it true that f(0) = 0?
5. Explain why or why not?
ILL MARK YOU BRAINLIEST if you answer xx
3.
Determine the amplitude (A), period (P) and phase shift (PS) of the function
f(x) = tan (2x + 1).
A = 1, p = ,PS = (2:0)
A = 1, P = 27, PS =
o
s = (2)
A = 1, p = 5, P = (1,0).
A = 1, P = 2.PS = (6, 1)
Answer:
for f(x)=tan(2x+1)
Amplitude: None
Period: pi/2
phase Shift: -1/2(1/2 to the left)
Which operation will not change the value of any nonzero number?
flipAnswer:
Multiplication
Step-by-step explanation:
The answer is multiplication because the multiplication by two will definetly flip the value of any sort of number that is non zero.
Find the simple interest and the total amount after three years.
Principal = 7800 rupees
Annual rate of interest = 9.5%
Total interest =____rupees
Total amount =____rupees
Answer:
[tex] \boxed{ \sf{Total \:Interest = \underline{ 2223} \: rupees}}[/tex]
[tex] \boxed{ \sf{Total \: Amount = \underline{10023} \: rupees}} [/tex]
Step-by-step explanation:
♨ Given :Principal ( P ) = 7800 rupeesAnnual rate of interest ( R ) = 9.5 %Time ( T ) = 3 years♨ To find :Total interest ( I ) = ?Total amount ( A ) = ?✎ Finding the total interest :[tex] \boxed{ \sf{Simple \: interest \: ( \: I\: )\: = \frac{Principal \: ( \: P \: ) \: \times \: Time \: ( \: T \: ) \: \times \: Rate \: ( \: R \: )}{100}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{7800 \times 3 \times 9.5}{100}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{222300}{100}}} [/tex]
[tex] \longrightarrow{ \sf{2223 \: rupees}}[/tex]
The total interest = 2223 rupees.
✎ Finding the total Amount :[tex] \boxed{ \sf{Amount \: (A) = Principal \: ( \: P \: ) \: + \: Interest \: ( \: I \: )}}[/tex]
[tex] \longrightarrow{ \sf{7800 \: rupees + 2223 \: rupees}}[/tex]
[tex] \longrightarrow{ \sf{10023 \: rupees}}[/tex]
The total amount = 10023 rupees.
--------------------------------------------------------------
☞ Additional Info :Principal : The money which is borrowed or deposited is called principal ( P ).Interest : The additional amount of money which is paid by borrower to the lender is called Interest ( I ) .Time : The duration of time for which principal is deposited or borrowed is termed as time period ( T ).Rate : The condition under which the interest is charged is called rate ( R ).Amount : The sum of principal and interest is called an amount ( A ).✑ Important Formulaes :[tex] \sf{Interest \: = \frac{Principal \times Time \times Rate}{100}} [/tex][tex] \sf{Principal = \frac{Interest \: \times \: 100}{Time \times Rate}} [/tex][tex] \sf{Time = \frac{Interest \: \times \: 100}{Principal \times Rate}} [/tex][tex] \sf{Rate = \frac{Interest \: \times \: 100}{Principal \times Time}} [/tex][tex] \sf{Amount = Principal + Interest}[/tex][tex] \sf{Principal = Amount - Interest}[/tex][tex] \sf{Interest = Amount - Principal}[/tex]Hope I helped!
Have a wonderful time ツ
~TheAnimeGirl
what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?
Answer:
5x² - 36x - 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
5x² - 36x - 81
Step 2: Simplify
We cannot simplify the expression down further.
Dentro de 11 años la edad de Vicente será la mitad del cuadrado de la edad que tenía hace 13 años. ¿Qué edad tiene Vicente ahora?.
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
In a five-card poker hand, what is the probability of being dealt exactly one nine and no picture cards?
Answer:
0.0907
Step-by-step explanation:
There are 12 picture cards
There are 4 9's
There are 52-12-4 = 36 cards that are not 9's and not picture cards
(5*58905)/(52C5)
Using a table, show 60% of 80 60% of 80 is о
What is the slope of the line that contains these points?
Answer:
[tex]m=-7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from chart.
Point (39, 36)
Point (40, 29)
Step 2: Find slope m
Substitute: [tex]m=\frac{29-36}{40-39}[/tex]Subtract: [tex]m=\frac{-7}{1}[/tex]Divide: [tex]m=-7[/tex]What is the slope of points M(1, 3) and N(5,0) ? Help
Answer:
-3/4
Step-by-step explanation:
Line is passing through the points [tex] M(1,\:3)=(x_1, \: y_1) \: \&\: N(5, \: 0)=(x_2,\:y_2) [/tex]
Slope of MN
[tex] = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ = \frac{0 - 3}{5 - 1} \\ \\ = \frac{ - 3}{4} \\ \\ = - \frac{3}{4} [/tex]
it is urgent.so anyone solve this
Answer:
Step-by-step explanation:
Answer:
1i.) x = 18
1ii.) x = 40
2.) x = 155
3i.) ABD = 115° (actually this is wrong, idk how to calculate this ;-;
3ii.) BEF = 135°
Step-by-step explanation:
*All triangles add up to 180° in total of all angles added together*
i.) Find x
4x + 3x + 3x = 180°
10x = 180°
10x/10 = 180/10
x = 18
----------------------------------------
ii.) Find x
180 - 115 = 65
65° + 75° + x° = 180°
140° + x° = 180°
x° = 180° - 140°
x = 40°
----------------------------------------
2.) Find x
180 - 145 = 35
45° + 35° + n° = 180°
80° + n° = 180°
n° = 180° - 80°
n° = 100°
*Vertical Angles of n and m (variables I randomly made so I can solve this), so they are both the same*
100 + 55 + m = 180
155 + m = 180
m = 180 - 155
m = 25
25 + x = 180
x = 180 - 25
x = 155
----------------------------------------
3.) Find Angles
i.) ABD
180° - 65° = 115°
Angle ABD = 115°
ii.) BEF
180° - 110° = 70°
70° + 65° + x° = 180
135° + x° = 180°
x° = 180° - 135°
x = 45°
180° - 45° = 135°
Angle BEF = 135°
HELP please, see the picture below thank you.
I have a test, please
Answer:
5 - 10g + 20b
Step-by-step explanation:
(5 times 1) plus (5 times -3g) plus (5 times 4h)
5 - 10g + 20h.
This is the answer.
#teamtrees #WAP (Water And Plant)
PLZ PLZ PLZ HELP ME GET THIS RIGHT ILL GIVE 40 POINTS AND BRAINLY IF THERE BOTH RIGHT, I REALLY NEED HELP I SUCK AT GEOMETRY!!!
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they pave in one hour?
Answer:37.5
Step-by-step explanation:
The work a crew will pave in an hour will be 8/5 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,
1 / 8 hours ⇒ 1 / 5 miles
1 hour ⇒ 8 x (1 / 5 ) miles
1 hour ⇒ 8 / 5 miles
Therefore, the work a crew will pave in an hour will be 8/5 miles.
To know more about an expression follow
https://brainly.com/question/16174575
#SPJ2
Suppose z is a complex number (a point in the plane) with angle 30 degrees and radius 2. Suppose w is a complex number with angle 60 degrees and radius 5. If z and w are multiplied together the angle of their product is how many degrees?
Answer value
Write each number in complex polar form:
[tex]z=2e^{i\cdot30^\circ}[/tex]
[tex]w=5e^{i\cdot60^\circ}[/tex]
When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that
[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]
so the angle of the product zw is 90°.