Using the expected value of a discrete distribution, it is found that:
a) His expected value is of -$2.5.
b) The fair price of a ticket is of $0.5.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, the distribution for the net value of the ticket is:
P(X = 497) = 1/1000.P(X = -3) = 999/1000.Item a:
The expected value is given by:
[tex]E(X) = 497\frac{1}{1000} - 3\frac{999}{1000} = -2.5[/tex]
His expected value is of -$2.5.
Item b:
With an unknown ticket price, the distribution is:
P(X = 500 - x) = 1/1000.P(X = -x) = 999/1000.The game is fair if E(X) = 0, hence:
[tex]\frac{500 - x}{1000} - \frac{999x}{1000} = 0[/tex]
0.5 - x = 0
x = 0.
The fair price of a ticket is of $0.5.
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
Matt buys 9 cookies, and of them are chocolate chip. How many chocolate chip cookies did he buy? A .3 cookies B. 6 cookies C.8 cookies D. 11 cookies
Answer:
B. 6 cookies
Step-by-step explanation:
Given :
9 cookies2/3 of them are chocolate chipNumber of chocolate chip
Total x fraction of chocolate chip9 x 2/33 x 26 cookiesMakayla leans a 26-foot ladder against a wall so that it forms an angle of 69^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
The base of the ladder and the wall forms a right triangle
The horizontal distance between the base of the ladder and the wall is 9.3 feet
How to determine the horizontal distance?The given parametes are:
Angle = 69 degrees
Length of the ladder (l) = 26 feet
The horizontal distance (h) is calculated using the following cosine ratio
cos(θ) = h/l
Substitute known values
cos(69) = h/26
Make h the subject
h = 26 * cos(69)
Evaluate the product
h = 9.3
Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet
Read more about right triangles at:
https://brainly.com/question/2437195
When do I use the quadratic formula?
Answer:
Step-by-step explanation:
Quadratic equations are commonly used in situations where two things are multiplied together and they both depend on the same variable. For example, when working with area, if both dimensions are written in terms of the same variable, you use a quadratic equation.
Find the value of 2^-3
Answer:
Exact form would be 1/8
and the decimal form is 0.125
Answer:
2^-3=1/8=0.125
Step-by-step explanation:
We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number
We get 2^-3 = 1/(2^3)
and 2^3=8
so we get 2^-3= 1/8 =0.125
Find the product of 0.000879 and 1.028
Answer:
0.008791747
Step-by-step explanation:
0.000879
x 1.028
-------------------
0167
01580
000000
08790000
---------------------
8791747
0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.
Final answer: 0.008791747
I hope this helps!
 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?
Answer:
Step-by-step explanation:
N 32 players
Q1. 12 onces bottles
Q2. 1.152 onces water
N bottle?
1.152/12= 96 (number of bottles)
96/32=3 (number por player)
Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.
Answer:
Lauren needs to get 95 on her next math test so that the mean and median remain the same
Step-by-step explanation:
92+93+ 94+ 95+96+97+98 = 665
665/2 =95
mean=95
median=95
x= score could Lauren get on her next math
(665+ x)/8 =95
multiply both sides by 8 to eliminate fraction
665 +x = 760
x=95
So now the median is the same
(95+95)/2=95
shorcut:
with 7 scores 95 is the median(in the middle)
with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95
HURRY PLS WILL MARK BRAINLIEST, Find an equation in slope intercept form of the line that has two slope and passes through points A [9, -2 ]
Answer:
D
Step-by-step explanation:
sub in the x value and if its equal to -2 its on that line
helpppp: Find the area of the parallelogram.
Step-by-step explanation:
that is totally simple.
the area of a parallelogram is
baseline × height
basically the same as for a rectangle, just that in this more general form the height is no longer the other side.
in our case here
18×13 = 234 cm²
Which expression is equivalent?
Answer:
The Third one.
Step-by-step explanation:
So, Turn the mixed number, 2 1/4, to an improper fraction, 9/4. Then match the answer!
If you need anything else, just message me!
Have a nice day! :)
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps.
I think the answer is 8 but I don't know how to make an inequality. Please help.
Answer:
8 packages
Step-by-step explanation:
First, let's subtract.
#1) Remove the cost of the notebook.
$18 - $4.25$13.75#2) Remove the amount that needs to be saved.
$13.75 - $9.75$4.00#3) Make the inequality.
Let n be the number of packages.0.50n ≤ 4.00n ≤ 4.00/0.50n ≤ 8The expression c + 0.07c can be used to find the total cost of an item with 7% sales tax, where c is the cost of the item. Use the expression to find the total cost of an item that is $25.
The total cost of the item at the value of $25 and a tax of 7% is $26.75
Total CostGiven Data
Tax = 7%Cost of item c = $25We have the given expression to find the total cost which is
Total = c + 0.07c
Substituting our given data into the expression we have
Total = 25 + 0.07*25
Total = 25 + 1.75
Total = $26.75
Learn more about total cost here:
https://brainly.com/question/25109150
A bank pays $15 in interest for every $100 deposited.
The bank pays how much interest?
Answer:
15% interest
Step-by-step explanation:
because it's 15 out of 100 so that would be 15%
mohsin purchased a 30 ounce bag of dried Turkish figs for $11.40. What is the cost per pound?
Answer:
$6.08 per pound
Explanation:
30 ounce ⇒ $11.40
conversions:
16 ounce ⇔ 1 pound1 ounce ⇔ 0.0625 poundsolve:
0.0625(30) pound ⇒ $11.401.875 pound ⇒ $11.401 pound ⇒ $6.08Answer:
$6.08
Step-by-step explanation:
Mohsin purchased a 30-ounce bag of dried Turkish figs for $11.40.
⇒ 30 ounces of dried Turkish figs = $11.40
Finding the cost per ounces:
30 ounces of dried Turkish figs/30 = $11.40
⇒ 30 ounces of dried Turkish figs/30 = $11.40/30
⇒ 1 ounce of dried Turkish figs = $0.38
Finding the cost per pounds:
1 pound ↔ 16 ounces
⇒ 1 ounce of dried Turkish figs = $0.38
⇒ 1 ounce of dried Turkish figs × 16 = $0.38 × 16
⇒ 16 ounces of dried Turkish figs = $6.08
A question to upload the GeoGebra downloaded file : Graph the quadratic function of your choice and find the vertex and axis of symmetry .
Answer:I drew a quadratic function with a vertex and axis of symmetry, hope this helps
Brainlisted for the correct answer! Need help due today!
Answer:
a. 21.95 or abt 22
b. Length of the ladder
Step-by-step explanation:
pythagorean theorem - a^2 + b^2 = c^2
[c is slope/hypoteneuse] [a and b are sides]
11^2 + 19^2 = c^2
121 + 361 = c^2
482 = c^2
sqrt(482) = c
c = 21.954 or abt 22
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. What will it be worth when Sam is 33?
The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,
[tex]P=4000\\r=9.8\%[/tex]
Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,
[tex]t=33-25\\t=12\rm\; years[/tex]
Put the values in the formula,
[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]
Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
Learn more about the compound interest here;
https://brainly.com/question/24274034
#SPJ1
Answer: $8733.01
Step-by-step explanation: I got it right on my quiz
The volume of a cylinder is 48n cubic feet. The
area of the base is 121 square feet.
What is the height of the cylinder?
Answer:
1.25 feet to the nearest hundredth.
Step-by-step explanation:
Voilume = π r^2 h
Here V = 48π , and area of the base = π r^2 = 121.
So 48π = 121h
h = 48π / 121
= 1.25 feet to the nearest hundredth.
You need a 40\% alcohol solution. On hand, you have a 150 mL of a 20% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
Answer:
You need to add 200 mL of the 55% to obtain the desired solution
Step-by-step explanation:
x=mixture you need to add
20% * 150 + 55% x = 40%(x + 150)
0.20 * 150 + 0.55x = 0.40(x + 150)
30+0.55x=60+0.40x
0.15x = 30
x=200 mL
Tom has 267 marbles, He shares the marbles out between himself and his two friends How many marbles does
each get? How many left over ?
Answer:
Each get 89 marbles and the leftovers are 0
Step-by-step explanation:
We have to ditribute the 267 marbles for 3 people so divide 267 by 3:
[tex]\frac{267}{3}[/tex] = 89
So each one gets 89
The leftovers are 0 because 267 is divisible by 3, means that if we divide 267 by 3 we will get a natural number ( no decimal part/ remainder=0)
remainder=0 → leftovers=0
PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking
speed is only r miles per hour.
Tomorrow both girls are planning to spend 3 hours biking. How much longer will be
Sophie's route?
Answer:
FOR THIS PROBLEM I GOT..... (20/r)-(20/s)Step-by-step explanation:
pls brainlest mee
Reason Does the division 25/6 have a remainder?
How do you know?
Answer:
Yes
Step-by-step explanation:
If you divide 26 by six, you get s decimal smaller than 5. Remember, 5*5=25. 6*5=30, so that doesn't work. 6*4=24, so that does. Then you get four with a remainder of one.
Allison is making fruit drinks for her friends.
Each fruit drink is made with 3/5 cup of
strawberries and 1/5 cup of blueberries. If
Allison is making fruit drinks for 6 friends,
how many cups of fruit will she need??
The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Calculation of total quantity of fruitsThe quantity of strawberries needed for each fruit drink= 3/5 cup
The quantity of blueberries needed for each fruit drink = 1/5 cup
Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5
= 4/5
If 4/5 = 1 fruit drink
X = 6 fruit drinks
Make X the subject of formula,
X = 4/5 × 6
X = 24/5
X= 4 ⅘
Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Learn more about calculation of total quantity here:
https://brainly.com/question/13864606
Odds in favor of drawing a face card
Answer:
y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah
12 face cards
->12/52
=3/13
Carlos took 1/4 hours to clean the kitchen. Then he took 5 3/8 hours to clean the den. How much time did Carlos take to clean the two rooms?
Answer:
5 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} = \frac{2}{8}[/tex]
[tex]\frac{2}{8} + 5\frac{3}{8}[/tex]
Your solution is:
5 [tex]\frac{5}{8}[/tex]
mrs. vickers is covering her students work table with chalkboard paper. the table is a radius of 3.8 ft. How much paper will she need?
Answer:
How might the situation lead to bullying?
How might the situation lead to bullying?
How might the situation lead to bullying?
How might the situation lead to bullying?
Step-by-step explanation:
Explain how stroke is caused by substance abuse
Answer:
Cocaine, methamphetamines, and other stimulants can cause stroke in two ways. To begin with, stimulant drugs increase blood pressure. These drugs also have a direct effect on the vessel walls, and the extra pressure can cause them to rupture and leak blood into the brain. This is known as a hemorrhagic stroke.
Step-by-step explanation:
[tex]\frac{-65}{100} - \frac{12}{7}[/tex]
Answer:
-331/140
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
y =
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
The ratio of the area of the first figure to the area of the second figure is 4:1
Ratio of the areas of similar figuresFrom the question, we are to determine the ratio of the area of the first figure to the area of the second figure
The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]
[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]
[tex]=\frac{4}{1}[/tex]
= 4:1
Hence, the ratio of the area of the first figure to the area of the second figure is 4:1
Learn more on Ratio of the areas of similar figures here: https://brainly.com/question/11920446
