3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
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HELP QUICK
Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?
Answer:
25 inches
Step-by-step explanation:
Given
Son:
[tex]Height = 40\ inch[/tex]
[tex]Shadow = 24\ inch[/tex]
Woman:
[tex]Height = 41.4\ inch[/tex]
Required
Determine the height of the woman's shadow
From the question, the height is directly proportional to the height of the shadow:
So, we have:
[tex]40\ inch = 24\ inch[/tex] --- For the son
and
[tex]41.4\ inch = x[/tex]
Where x represents the shadow of the woman
Cross Multiply:
[tex]x * 40 = 24 * 41.4[/tex]
[tex]x * 40 = 993.6[/tex]
[tex]40x = 993.6[/tex]
Make x the subject
[tex]x = 993.6/40[/tex]
[tex]x = 24.84[/tex]
[tex]x = 25[/tex] ---- approximated
Hence, the woman's shadow is 25 inches tall
Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.
Answer:
sarah can buy 88 songs
Step-by-step explanation:
filler fbjebdjsndjen
Answer:
sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
Witch variable represents the y intercept
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Please find the comp[lete question in the attached file.
Given:
[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]
In point 1:
[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]
In point 2:
[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]
In point 3:
Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex], in which r and t were constants!
[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]
In point 4:
[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and
[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.
Please help me...I need to turn this in PLZZZZ!!!!!!
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
HURRY !!!!
i need help with this question
What is the multiplicative inverse of 1 2/3
Answer:
sorry if im wrong but im pretty sure -5/3
Step-by-step explanation:
Answer:
2/1
Step-by-step explanation:
A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.
Hope this helps!
The Buffalo Bills football team wanted to buy new footballs. what did the team have to pay per football? Be sure to explain all of your work.
Answer: I don't see the amount per football
Step-by-step explanation:
True False x-sqrt6 is a factor of x^4-36
Does f(x)=|x|+5 go up or down
Answer:
up
Step-by-step explanation:
postive, up!
Answer:
..........UP..........
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
A triangle has angles that measure 54.6° and 17.8°. Which equation can be used to find the value of x, the measure of the third angle in the triangle?
Answer:
58.6 + 17.8 + x = 180
Step-by-step explanation:
hope this helps
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
If x + y = 5, then x =
1. 5y
2. 5+y
3. 5 - y
What is the polynomial of least degree with the given zeroes -2 and 4?
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
Look at image which graph shows T (ABC)?
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
-2(b+5)= -6
What is b?
Answer:
-2
Step-by-step explanation:
It would be =
-2(-2 + 5) = -6
4 - 10 = -6
-10 and a positive four is a -6
Amaia purchased two blouses and a skirt for a total of $32. The sales tax rate is 8%. How much total sales tax will Amaia pay on these items?
Answer:
2.56
Step-by-step explanation:
8% of 32 is 2.56
Graph this line using the slope and y-intercept:
Y= 1/8X + 4
Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
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7
8
9
10
Submit
Answer:
98765432123459 that is te answer
Step-by-step explanation:
Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki
Answer:
What is this about?
Step-by-step explanation:
What topic?