The expected value of the game is $8.75.
----------------------
The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.
32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.
The expected value is:
[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]
[tex]E = \frac{100 + 150 + 30}{32}[/tex]
[tex]E = \frac{280}{32}[/tex]
[tex]E = 8.75[/tex]
The expected value of this game is of $8.75.
A similar problem is given at https://brainly.com/question/24961584
Which of these a example
Answer:
D`
Step-by-step explanation:
The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)
lolol lfeofviponvfnfuibouigb
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
Three
consecutive
inirgers
17
The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is
150 inches, find the dimensions.
Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
sorry bro I even don't know coz I am class 7
f(x)=10x^2-5x-3, evaluate f(-3)
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
X= $25,000
1,500+.2(x-10,000)
Answer:
x-525000+0
Step-by-step explanation:
Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):
Hello! I would like some help. Thank you!
Find the length of the right triangles other leg. Round to the nearest tenth. Leg=10
A. 6.6 ft
B. 15.6 ft
C. 43.6 ft
D. 2ft
Thank you!!!
Answer:
A. 6.6 ft
Step-by-step explanation:
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?
3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg
The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data
The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.
Reason:
The given least-squares regression line equation is presented as follows;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)
Required:
The value of the fuel efficiency for a speed of 60 mph.
Solution:
The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x
Where, in the current question, we have;
[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)
a = The y-intercept = 1.437
b = The slope = 0.541
x = The input value = ln(speed)
When the speed = 60 mph, we have;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816
Therefore;
[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]
The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon
Learn more here:
https://brainly.com/question/14341438
Answer:
the person above me is correct.
Step-by-step explanation:
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above
In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry
Use polar coordinates to find the volume of the given solid.
Below the plane
2x + y + z = 4
and above the disk
x2 + y2 ≤ 1
Using polar/cylindrical coordinates, we take
x = r cos(t )
y = r sin(t )
z = z
so that
dV = dx dy dz = r dr dt dz
The solid is given by the set
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in cylindrical coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
Then the volume of the solid is
[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]
The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
What is the volume of the solid in polar coordinates?The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.
[tex]V = \iint_R f(x,y) \,dA.\\[/tex]
Similarly, by polar coordinates,
x = r cost
y = r sint
z = z
we get, dV = dx dy dz = r dr dt dz
The solid is given
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in polar coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
The volume of the solid is
[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]
Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
Learn more about the volume of the solid;
https://brainly.com/question/12649605
True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies
Answer:
true
Step-by-step explanation:
England claimed the colonies, so they ruled over them.
The volume of a rectangular prism is
represented by the expression x3 + 5x2 - 8x -
48 If the length is (x – 3) and the height and
width are equal, what is the width of the prism?
(x + 4)
(x-4)
(x - 2)
(x + 2)
plsss hurry
Answer:
[tex]x+4[/tex]
Step-by-step explanation:
This question is essentially asking: [tex]p(x)^2*(x-3)=x^3+5x^2-8x-48[/tex]. Find [tex]p(x)[/tex].
The left hand side can be factored into [tex](x-3)(x+4)^2[/tex] by the rational root theorem and polynomial division.
We can then divide both sides of the equation to get [tex]p(x)^2=(x+4)^2[/tex].
Finally, we take the square root of both sides to obtain [tex]p(x)=x+4[/tex].
So, the answer is [tex]\boxed{x+4}[/tex]
If RS = x + 2 and ST = 2x, what is ST?
Answer:
ST = 2x
Step-by-step explanation:
if not please elaborate on the question.
Tara has 3 dogs and 4 cats.
The dogs have a mean weight of x kg.
The cats have a mean weight of y kg.
Write down an expression, in terms of x and y, for the mean weight of all 7 of Tara's pets.
Which type of tax is income tax?
Answer:
B.) Progressive
Step-by-step explanation:
Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.
simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)
List all the positive even numbers less than 10:
Answer is
2, 4, 6, 8
A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.
Answer:
This cinder block has gravitational potential energy.
This cinder block has 15 484 joules of potential energy
Step-by-step explanation:
PE = mass*gravity*height and g= 9.8 m/s^2
PE = 79 * 9.8 * 20
PE = 15 484
Does this equation have exactly one solution
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
help pls. with explanation
Answer:
the answer is infinity....
Does this equation have a solution?
Hiiii a little help here plz !!!!
well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C
me ayudan a resolver esto?
Step-by-step explanation:
es 1
6/9+2/3+10/2(5)=
6+6+45/9=
57/9
es 2
-3/6-2/4-10/5(2)=
-6-6-24/12=
36/12=3
es 3
15/8-3/2+8/9=
135-108+64/72=
91/72
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
153
Step-by-step explanation:
The formula is 3 mL of A to 5 mL of B.
Let's say the chemist uses just the numbers in the formula.
Add 3 mL of A to 5 mL of B.
3 mL + 5 mL = 8 mL
The chemist ends up with 8 mL of the drug.
He really want 408 mL.
408 mL is how many times greater than 8 mL?
408/8 = 51
He needs to use 51 times the numbers in the formula.
51 * 3 mL of A + 51 * 5 mL of B =
= 153 mL of A + 255 mL of B
= 408 mL of the drug
Answer: 153
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
I need help please! (23)(−98)(−45)(−1)
Answer:
−101430
Step-by-step explanation:
Pictomath lol
if Austin burns 120 calories per 30 minutes of weight training how many calories would he burn in 10 minutes?
please help I have a test in 1 hour and I need to know this by then!
Answer:
40 calories per 10 min
Step-by-step explanation:
Because 30 divided by 3 is 10 and 120 divided by 3 is 40
if f(x)=4x-2/3 what would f(a+3) be
Answer:
it will look like this 4(a+3)-2/3
Step-by-step explanation:
look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve
Answer:
Step-by-step explanation:
Id..k how to help u sorry