Find the following list of data calculate a demean be the maid in and see the mouth or mothers of the numbers from
the picture
Answers
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
On further simplification, we get
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Hence, the expected winnings for this game are $3.50.
Related Questions
using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?
Answers
Answer:
The projected population in 2026 is of 699.3 million.
Step-by-step explanation:
Population:
The population, in x years after 2000, is given by the follwing equation:
[tex]y - 4.55x = 581[/tex]
That is:
[tex]y(x) = 4.55x + 581[/tex]
What is projected population in 2026?
2026 - 2000 = 26, so this is y(26).
[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]
The projected population in 2026 is of 699.3 million.
Simplify the given expression and enter in numerical form.6+5
Answers
Answer:
6+5=11
Step-by-step explanation:
6 is added to 5
i am sorry if i am wrong
If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?
Answers
Answer:
the first term is 4
The perimter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length (l) if the rectangle
Answers
Answer:
Step-by-step explanation:
P=2(w)+2(l)
34=2(6.5)+2(l)
34=13+2(l)
21=2(l)
10.5=l
8. In rural third world countries, farmers use a
conical bucket, the "Gầu Dây” to drain/transfer
water from one rice field to another. If the height
is 20" & the diameter of the opening is 15”, how
much cubic feet of water can two farmers drain
in three hours if their rate is 28 “gầu" per
minute?
Answers
9514 1404 393
Answer:
6872 cubic feet
Step-by-step explanation:
The volume of the conical bucket is ...
V = 1/3πr²h
V = 1/3π(15/2 in)²(20 in) = 375π in³
There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.
If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...
(375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³
There are 1728 in³ in 1 ft³, so this is ...
(3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.
Can y’all help me on question 27?!
Answers
Answer:
A cube can be made out of this
Step-by-step explanation:
Hope this helps you :)
Find the surface area of the prism.
Answers
Answer:
D
Step-by-step explanation:
Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2
Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft
LA= base perimeter x 24 = 36 x 24 = 864 ft^2
SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2
2x^2=50 solve the equation algebraically?
Answers
The following condensed information was reported by Peabody Toys, Inc., for 2021 and 2020: ($ in thousands) 2021 2020 Income statement information Net sales $ 6,900 $ 5,900 Net income 374 158 Balance sheet information Current assets $ 970 $ 920 Property, plant, and equipment (net) 2,630 2,280 Total assets $ 3,600 $ 3,200 Current liabilities $ 1,660 $ 1,310 Long-term liabilities 920 920 Common stock 700 700 Retained earnings 320 270 Liabilities and shareholders’ equity $ 3,600 $ 3,200 Required: Determine the following ratios for 2021: (Round your percentage answers to 1 decimal place.) Determine the amount of dividends paid to shareholders during 2021. (Enter your answers in whole dollars, not in thousands. For example, $150,000 rather than 150.)
1a. Profit margin on sales 5.4 %
1b. Return on assets %
1c. Return on equity %
2. Dividends paid ?
Answers
Answer:
The answers are given below.
Step-by-step explanation:
The computation is shown below:
1.a.
Profit Margin = Net Income ÷ Sales × 100
= $374 ÷ $6,900 ×100
= 5.4%
1-b:
Average Assets = (Beginning Assets + Ending Assets) ÷ 2
= ($3,200 + $3,600) ÷ 2
= $3,400
Now
Return on Assets = Net Income ÷ Average Assets
= $374 ÷ $3,400
= 11%
1-c
Average Equity = ($700 + $700 + $320 + $270) ÷ 2
= $995
Now
Return on Equity = Net Income ÷ Average Equity *100
= $374 ÷ $995
= 37.59%
2:
Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings
= $270 + $374 - $320
= $324
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20
What is the value of x in the equation (3x + 12) = {(x + 14) – 3?
0
-24
46
0 0
Answers
Answer:
x = -24
Step-by-step explanation:
(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3
2x/6 + 24/3 = x/6 + 14/2 - 3
2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4
x/6 + 8 = 4
x/6 = -4
x = -24
Calculate a critical z-score for a left-tailed, right-tailed, or two-tailed test.
a. The critical z-score for a left-tailed test at a 12% significance level is -0.45.
b. The critical z-score for a right-tailed test at a 9% significance level is 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.
Answers
Answer:
a. Z = -1.175.
b. Z = 1.34.
c. |Z| = 2.054.
d. |Z| = 1.28.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The critical z-score for a left-tailed test at a 12% significance level
Left-tailed test: The region of interest is the 12th percentile or below.
Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.
b. The critical z-score for a right-tailed test at a 9% significance level
Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.
Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.
c. The critical z-score for a two-sided test at a 4% significance level is 1.75.
Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.
d. The critical z-score for a two-sided test at a 20% significance level is 0.85.
Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.
Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.
HELP SUMMER ALGEBRA 2! the rest of the answer d is numerator and denominator of both fractions
Answers
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Answer:
the correct choice is marked
Step-by-step explanation:
The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.
The offered choices suggest that treating the second fraction first is Juan's preferred choice.
multiply the second fraction by (x-2)/(x-2)A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?
?
O 28 cm
O 36 cm
O 45 cm
O 90 cm?
Answers
Answer:
28 square centimeters
Step-by-step explanation:
The area of a trapezoid (formula):
(a + b) ÷ 2 x h
Where a & b are the bases, and h is height.
Use formula with given measurements:
(9 + 5) ÷ 2 x 4 = 28
Area is measured in square centimeters
(centimeters in this case)
Therefore the area if the trapezoid is 28 cm^2
I really hope this helps!
What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)
Answers
B. [tex](x - 5)(x - 1)[/tex] ✅
Step-by-step explanation:
[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] =\: x(x - 5) - 1(x - 5)[/tex]
Taking the factor [tex](x-5)[/tex] as common,
[tex]=\:(x - 5)(x - 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
let X1 and X2 have the joint pdf, f(x1, x2) 0
Answers
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
For point a:
[tex]\to fx_1(x_1)=\int^{x_{1}}_{0} f(x_1,x_2)\ dx\\\\[/tex]
[tex]=\int^{x_{1}}_{0} e^{-x_1}\ dx_2\\\\= e^{-x_1} \ [x_2]^{x_1}_0 \\\\\therefore f x_1(x_1)=x_1e^{-x_1}; \ \ x_1>0\\\\[/tex]
For point b:
[tex]\to f(x_2|x_1)=\frac{f(x_1,x_2)}{f(x_1)}\ =\frac{e^{-x_1}}{x_1\ e^{-x_1}}=\frac{1}{x_1} ; \\\\ \ \ 0\leq x_2 \leq x_1 \\\\[/tex]
For point c:
[tex]P(x_1>2|x_2=7)= 1.00 \\\\\because x_2=7\to x_1>7\to x_1>2\\\\[/tex]
what is the measure of angle W in the figure
Answers
Explanation:
A line equals: 180 degrees total.
180-50=130
Use the intercepts to graph the equation x-5=y
Answers
9514 1404 393
Answer:
see beow
Step-by-step explanation:
When x=0, y=-5. The y-intercept is (0, -5).
When y=0, x-5=0, so x=5. The x-intercept is (5, 0).
Plot these two points and draw the line through them.
Evaluate the expression when b= 2 and c=-5. -b+6c
Answers
Answer:
-32
Step-by-step explanation:
- 2 + 6 * -5 = -32
Answer:
- 32
Step-by-step explanation:
- b + 6 c
Where we've
b = 2 and c = -5- ( 2 ) + 6 ( -5 )
- 2 - 30
which expresion is equivalent to-12(3x-3/4)
A -36x-8
B -36x+8
C -36x-9
D -36x+9
Answers
Define the word coeffcent
Answers
Answer:
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
or:
a multiplier or factor that measures some property.
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Can someone help me solve this
Answers
Answer:
Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6
Step-by-step explanation:
100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?
Answers
Answer:
I am pretty sure its 30 students
Question #7: Which revolution resulted from the division of society shown in this diagram?
(5 Points)
First Estate Second Estate
Third Estate
Magd
。
KUIN
பரிழப்பாகத் AARA
annu
MIA
AACAAN
Clergy
Nobles
Atées en
be eagere
1% of the people
owned 10%
of the land
2% of the people
owned 25%
of the land
Bab 2 828
Anu
AR SALE
M
Middle class, peasants, city workers
97% of the people owned 65% of the land
Source Schwartz and O'Connor Democracy and Nationalism Globe Book Company (adapted from the NYS Global History and Geography Regents
Exam August 2007
Puritan (1642)
French (1789)
Mexican (1910)
Russian (1917
Answers
Answer: French (1789)
Step-by-step explanation:
The average mass of a grain of sand is 1.5 x 10^-5 grams. Erin's sandbox has approximately 3.067 x 10^11 grains of sand in it. What is the mass of the sand in Erin's sandbox?
Answers
Answer:
4.6005 * 10^6 grams
Step-by-step explanation:
Average mass of sand grain = 1.5 * 10^-5 grams
Number of grains in Erin's sandbox = 3.067 * 10^11 grains
To obtain the mass of sand in Erin's grain box :
We multiply the mass per sand grain and the number of grains
(1.5 * 10^-5) * (3.067 * 10^11)
1.5 * 3.067 = 4.6005 * (10^(-5+11))
4.6005 * 10^6 grams
A box has seven orange hats and 19 yellow hats if you pick three hats without replacement what is the probability that you pick at least two orange hats from the box?
Answers
Answer:
a chance of 3.16
Step-by-step explanation:
Question in pic, please help
Answers
Answer:
The first one
(I can't see it too properly but if the dot on -10 has a hole in it then this is the answer)
I NEED IT FASTTTTTTTTTTTTTTT
Answers
Answer:
17
Step-by-step explanation:
Which expression is equivalent to
3/14x + (- 1) + (- 4) – 2/7x?
Choose the correct answer below.
A. -5 1/14x - 5
B. 5 1/14x + 5
C. -1/14x - 5
D. 5/14x - 5
Answers
Answer:
A and b
Step-by-step explanation: Because ....
(7.3 × 10-9) + (1.5 × 10−9) in standard form
Answers
Answer:
The answer in standard form is 70.
Answer:
(7.3*10-9)+(1.5*10-9)
(73-9)+(15-9)
64+6=70
Step-by-step explanation:
Help solve this problem
Answers
Answer:
x = -7
Step-by-step explanation:
(x + 14) + (x + 12) = 12
Combine like terms
2x + 26 = 12
Subtract 26 from both sides
2x = -14
Divide both sides by 2
x = -7
Answer:
Step-by-step explanation:
PQ +QR = PR
x + 14 + x + 12 = 12
Combine like terms
x + x + 14 + 12 = 12
2x + 26 = 12
Subtract 26 from both sides
2x = 12 - 26
2x = -14
Divide both side by 2
x = -14/2 =
x = -7