Alyssa wants to play the game. Choose the statement below that is correct in all aspects. E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels. E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels. E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies. E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies
Answers
Using the expected value of a discrete distribution, the correct option is given as follows:
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
What is the expected value 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.
When 3 coins are tossed, the probabilities are given as follows:
All heads: (1/2)^3 = 0.125.All tails: (1/2)^3 = 0.125.At least one of each: 1 - 2(0.125) = 0.75.Hence the distribution for the penny points is:
P(X = -2) = 0.25.P(X = 3) = 0.75.The expected value for the penny points is:
-2 x 0.25 + 3 x 0.75 = 1.75.
When 2 coins are tossed, the probabilities are given as follows:
All heads: (1/2)² = 0.25.All tails: (1/2)² = 0.25.At least one of each: 1 - 2(0.25) = 0.50.Hence the distribution for the nickel points is:
P(X = -2) = 0.5.P(X = 5) = 0.5.The expected value of nickel points is:
E(X) = -2 x 0.5 + 5 x 0.5 = 1.5.
Due to the higher expected value, she should play with the pennies and the third option is correct.
What is the missing information?
The complete problem is given by the image at the end of the answer;
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Answer:
The answer is C
Step-by-step explanation:
edge
Related Questions
Please help me with this question!! :)
Answers
Answer:
D. The last 26/8, 3-32, -Pi, -4 2/3
Step-by-step explanation:
26/8= 3.25
3-32=3.17
-Pi= -3.14
-4 2/3= -4.67
2.5 m³ of marble has a mass of 6775 kg.
3
a) Calculate the density of marble in kg/m³.
b) Find the mass of 1.9 m³ of marble in kg.
Answers
Answers:
a) 2710 kg/m³
b) 5149 kg
====================================================
Work shown for part a)
density = mass/volume
density = (6775 kg)/(2.5 m³)
density = (6775/2.5) kg/m³
density = 2710 kg/m³
-----------------------------------
Work shown for part b)
density = mass/volume
mass = density * volume
mass = (2710 kg/m³) * (1.9 m³)
mass = (2710*1.9) kg
mass = 5149 kg
Line r is shown in the xy-plane. Line q (not shown) is perpendicular to line r. What is the slope of line q?
Answers
The Slope of the line q equals 3.
Given the slope of line r is -
slope = perpendicular / base
Finding the equation of line using coordinates (2,3) and (-1,4)
putting the values in the equation,
y2 - y1 / x2 - x1
⇒ 4-3 / -1 -2
⇒ 1/-3
⇒ -1/3
Slope of the line r is -1/3
As line q is perpendicular to line r,
Using the property, 2 lines perpendicular to each other have slope = negative reciprocal of slope 1
the slope of line q becomes 3
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fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?
Answers
There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.
Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.
Here, we will use the combination rule to find out the possible triangles,Thus, the total number of possible triangles = 15C3 = (15.14.13) / (1.2.3) = 455
Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.
For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.
And 12/3 = 4 dots would be between any two connecting dots.
Taking 1st connecting dot, the second connecting dot would be
1 + 4 + 1 = 6th
Similarly, the third connecting dot would be 6 + 4 + 1 = 11th
So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);
After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:
So, there are 455 - 5 = 450 triangles that are not equilateral triangles.
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3/5x + 1/4y=-1/2 slope intercept form
Answers
Answer: [tex]y= \frac{-12}{5}x -2[/tex]
Step-by-step explanation:
1) Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2
Answer: y=-12/5(x-2)
Step-by-step explanation:
Move x to the right.
1/4y = -1/2 - 3/5x
2) Multiply both sides by 4 to make y by itself.
-1/2 * 4 = -2 (Multiply the top by 4 and you will get -4/2 = -2)
-3/5x * 4 = -12/5x (Multiply the top by 4 and you will get -12/5x)
y= -2 - 12/5x
3) Reorder the terms so that x goes first.
y= -12/5x -2
The sales tax in your city is 4.4\%4.4%4, point, 4, percent, and an item costs \$3$3dollar sign, 3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answers
If the sales tax in your city is 4.4% and an item costs $3 before tax the amount of tax you would pay on that item is $0.132.
Sales taxSales tax is the tax amount that is charge on goods customers buys.
Using this formula to determine the sales tax
Sales tax = Sales tax percentage × Cost of item
Where:
Sales tax percentage = 4.4% or 0.044
Cost of item = $3
Let plug in the formula so as to find the sales tax
Sales tax = 0.044 × $3
Sales tax = $0.132
Therefore the sales tax amount is $0.132.
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What is the value of x?
(2x - 5)°
n
l
m 45°
Answers
Answer:
x = 70
Step-by-step explanation:
(2x - 5) and 45 are same- side interior angles and sum to 180° , that is
2x - 5 + 45 = 180
2x + 40 = 180 ( subtract 40 from both sides )
2x = 140 ( divide both sides by 2 )
x = 70
A 30cm 40cm page of a book includes a 2cm margin on each side, as shown. What percentage of the page is occupied by the margins
Answers
If a (30cm by 40cm) page of a book includes a 2cm margin on each side, then the margins occupy 11.67 percentage of the total surface area of one side of the pages.
As per the question statement, a (30cm by 40cm) page of a book includes a 2cm margin on each side.
We are required to calculate the percentage of the total surface area of one side of the pages, occupied by the margins.
To solve this question, first we will need to calculate the total surface area of one side of the pages, and also the surface area occupied by the margins on one side, and then simply, calculate the percentage amount between the two area values.
Since the dimensions of the pages of the book are (30cm by 40cm), therefore, area of one side of each page = (30 * 40) sq. cm.
= 1200 sq. cm.
And, area occupied by the margins on each side of the page
= [(2 * 30) + (2 * 40)] sq. cm.
= (60 + 80) sq. cm.
= 140 sq. cm.
Therefore, percentage of the total surface area of one side of the pages, occupied by the margins = [(140/1200) * 100] = 11.67%
Percentage: In mathematics, a Percentage is a number or a ratio, expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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A snowboarder leaves an 8-foot-tall ramp with an upward velocity of 28 feet per second. The function h=16t+28t+8 gives the height h (in feet) of the snowboarder after t seconds. What is the maximum height of the snowboarder?
Answers
The maximum height of the skateboarder is 40.25 feet after 0.875 seconds
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let h(t) represent the height of the skateboarder after t seconds.
h(t) = -16t² + 28t + 8
The maximum height is at h'(t) = 0
h'(t) = -32t + 28
-32t + 28 = 0
32t = 28
t = 0.875s
h(0.875) = -16(0.875)² + 28(0.875) + 8 = 40.25 feet
Maximum height is 40.25 feet
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Stat 0,-10 and -6,-8
Answers
The midpoint of the given coordinates of points (0,-10) and (-6,-8) is ( -3,-9 )
How determine the midpoint between two point?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point 1( 0,-10 )
x₁ = 0y₁ = -10Point 2( -6,-8 )
x₂ = -6y₂ = -8Midpoint = ?
To determine the midpoint, plug the given points into the midpoint formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ( 0 + (-6) )/2, ( (-10) + (-8) )/2 )
M = ( ( 0 - 6) )/2, ( -10 - 8 )/2 )
M = ( ( -6 )/2, (-18 )/2 )
Midpoint M = ( -3,-9 )
Therefore, the midpoint of the coordinates is ( -3,-9 ).
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EVENING PUZZLE: 7 years ago I was 7 years older, 7years Later how old am I?
Answers
Answer:
21
Step-by-step explanation:
You are 14 right now if you were 7 yo 7 years ago. Add 7 more years to 14 and you get 21
If a company's current sales revenue is $1,386,000 and its marketing objective is to increase sales by 10 percent during the next year, what is the dollar sales goal or the following year?
Answers
Answer: ales revenue = 1,386,000 dollars Increase sales in percent = 10 percent Increase sales in dollars = 1,386,000 dollars * 0,1 = 138,600 dollars New sales goal in dollars = 1,386,000 dollars + 138,600 dollars = 1,524,600 dollars
New sales goal is 1,524,600 dollars.
Step-by-step explanation:
6. a. i. Using a scale of 2cm to 2units on both axes, draw on a sheet of graph paper two axes ox and 0 to 10 ii. On this graph sheet, mark the x-axis from 10 to 10 and the yaxis from -10 to iii. Draw triangle PQR with coordinates, P(2,2) Q(4,6) and R(6,2). iv. Draw the image triangle PQ,R of triangle PQR under a refection in the line 0 where P→ P₁, QQ, and RR, Write the coordinates of P₁, Q, and R. v. The image triangle P, Q, R, of triangle P₁, Q₁, R, under a rotation of 180° about the origin when P,→P₂, Q₁→Q₂ and R,→R₂. Write down the coordinates of P₁ Q₂ R₂. vi. Find P,R..
Answers
Answer:
i dunno
Step-by-step explanation:
hard man
Simplify the expression. Write the answer in scientific notation.
(5x10^-3) (7×10^-2)
(5x10^-3) (7x10^-2)=0
(Simplify your answer. Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Answers
The result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
What is scientific notation?
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ [tex]10^{8}[/tex].
The expression in scientific notation is
(5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) = 5×7 × [tex]10^{-3-2}[/tex]
= 35 × [tex]10^{-5}[/tex]
Therefore, the result of the expression (5x[tex]10^{-3}[/tex]) (7×[tex]10^{-2}[/tex]) in scientific notation is 35×[tex]10^{-5}[/tex].
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Decrease £47 by 24%
Give your answer in pounds (£).
Answers
The most appropriate choice of percentage will be given by-
£47 after 24% decrease becomes £35.72
What is Percentage?
Percentage is a ratio expressed as a percentage of 100.
Here,
Original Price = £47
Percentage decrease = 24 %
Decrease in Price = £([tex]\frac{24}{100} \times 47\\[/tex])
= £11.28
New Price = £(47 - 11.28)
= £35.72
So, £47 after 24% decrease becomes £35.72
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baby blender, a blender used to liquify food for babies, wants to gauge the response of customers to the newest version of its product. in order to do so, the marketing team at baby blender restricts the respondents to mothers with children under the age of one. this scenario exemplifies multiple choice quota sampling. descriptive research. simple random sampling. snowball sampling. causal research.
Answers
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .
The method is helpful for marketing the goods and services of the company .
The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .
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Find the value of x.
Answers
Answer:
2.28 or 2.2
Step-by-step explanation:
46 angle and 18x+5 angle make a z formation and the interior is always the same
46 -5 =41
41/18 =2.2777
round it off and you get 2.2
you can always verify it by putting it in the place of x
brainly to whoever answers first!!
MODELING REAL LIFE You make a total of
11 one-point free throws, two-point shots, and
three-point shots in a basketball game and score a
total of 22 points. You make two more two-point
shots than three-point shots. How many of each
type of shot do you make?
Answers
13 two point shots
11+2=13 13 two point shots in total
11 three point shots
I believe this is correct?
hope this helps
When traveling at top speed, a roller coaster train with a mass of 12,000 kg has a velocity of 30 m/s. The kinetic energy of the train at top speed is
Answers
Our mass is 12,000 kg
Our velocity is 30 m/s
So In the formula it would be
KE = 1/2 12,000kg * 30 m/s^2
First square the velocity to make it 900.
Then multiply that by 12,000 which will equal 10,800,000, then divide that by 1/2 which is equal to 5,400,000 Joules or J
Your answer is likely to be 5,400,000 J
I apologize if anything is wrong and please ask me if you have any questions.
olve for? (Part 1)
Cool Down: A Rectangular Relationship
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the
width, and the perimeter of the rectangle can be described with the
equation 2 length + 2 width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2.3.6 centimeters
3. w centimeters
Answers
Question 1
[tex]2l+2w=48 \\ \\ 2l+20=48 \\ \\ 2l=28 \\ \\ l=14\text{ cm}[/tex]
Question 2
[tex]2l+7.2=48 \\ \\ 2l=40.8 \\ \\ l=20.4 \text{ cm}[/tex]
Question 3
[tex]2l+2w=48 \\ \\ l+w=24 \\ \\ w=24-l[/tex]
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, what is the probability it’s a two-headed coin?
Answers
a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin
Definition of probability
(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:
C₁⁶⁵= 65!/1!(65-1)!
= 65
Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
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The function fis defined by the following rule.
f(x) = 5x-2
Complete the function table.
Answers
Description of a Function : Consider two nonempty sets, X and Y. A relation that links exactly one element from X to Y is known as a function from X into Y.
f(x) = 5x-2 ?
Solution:
f(x) = 5x-2
5x-2 = 0
5x = 2
x = 0.4
f(0.4) = 5(0.4)-2
= 0
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HURRY
What is the distance between the points(−5, −9) and (−5, 13)?
Responses
4 units
11 units
16 units
22 units
Answers
Answer:
22
Step-by-step explanation:
The x-coordinates are the same, so we can find the positive difference between the y-coordinates, which is 22.
the answer is D) 22.
Which expression is the completely factored form of y² + 2y - 15
O (y-5)(y+3)
O (y+5)(y+3)
○ (y+5)(y-3).
O(y-5)(y-3)
Answers
Answer:
(y+5)(y-3)
Step-by-step explanation:
..........
Answer:
y^2-3y+5y-15
y(y-3)+5(y-3)
(y-3) (y+5)
One batch of mooncakes contains 1/4 tablespoons of kansui. How many tablespoons of kansui are
needed to make 1 3/5 batches of mooncakes?
Answers
From the division property, the required kansui is 5/32 tablespoon.
What is division?
One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.
Given that a batch of mooncake contains 1/4 tablespoon of kansui.
Given batch of mooncake is 1 3/5 = 8/5
Therefore,
[tex]\frac{\frac{1}{4}}{\frac{8}{5}}\\=\frac{1}{4} \times \frac{5}{8}\\=\frac{5}{32}[/tex]
Hence, the required kansui is 5/32 tablespoon.
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SA=2\pi r^{2}+2\pi rh[/tex]
use 3.14 for [tex]\pi[/tex]
Find the surface area of a water tower that is 40 feet tall and has a diameter of 30 feet.
DO NOT ROUND YOUR ANSWER.
Answers
Thee surface area of the water tower is 1664 square feet
How to determine the surface area
It is important to note that the formula for determining the surface area of a cylinder is expressed as;
Surface area = 2πr² + 2πrh
Where;
The value for pi = 3.14The height of the water tower is 40 feetThe diameter of the water tower is 30 feetAlso, note that the formula for diameter is expressed as;
Diameter = 2r
Substitute the value of diameter
30 = 2r
r = 15 feet
Now, substitute the values into the formula
Surface area = 2(3.14)(15)² + 2(3.14)(40)
expand the bracket
Surface area = 1413 + 251. 2
Add the values
Surface area = 1664. 2
Surface area = 1664 square feet
Hence, the value is 1664 square feet
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find the value of g(ƒ(1))
f(x) = −2x +4
g(x) = 3x² - 7x +9
Answers
Answer:
f=4
Step-by-step explanation:
I think it's right but not 100% sure
What is the value of −4 + (−16) + 23?
43
3
−11
−35
Answers
Step-by-step explanation:
3 ................
.
........................
Answer:
3
Step-by-step explanation:
–4 + (–16) + 23
–4 – 16 + 23
–20 + 23
= 3
solve using completing the square.
[tex] {x}^{2} + 2x - 15 = 0[/tex]
Answers
[tex]x^{2} + 2x - 15 = 0[/tex] -> [tex](x+1)^{2} - 16 = 0[/tex]
-> [tex](x+1)^{2} = 16[/tex]
-> x+ 1 = 4 or -4
-> x = 3 or -5
Answer:
[tex]x=3, \quad x=-5[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]x^2+2x-15=0[/tex]
Solve by Completing the SquareStep 1
Move the constant to the right side of the equation:
[tex]\implies x^2+2x-15+15=0+15[/tex]
[tex]\implies x^2+2x=15[/tex]
Step 2
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]\implies x^2+2x+\left(\dfrac{2}{2}\right)^2=15+\left(\dfrac{2}{2}\right)^2[/tex]
[tex]\implies x^2+2x+1=15+1[/tex]
[tex]\implies x^2+2x+1=16[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+1)^2=16[/tex]
Step 4
Square root both sides:
[tex]\implies \sqrt{(x+1)^2}=\sqrt{16}[/tex]
[tex]\implies x+1=\pm4[/tex]
Step 5
Subtract 1 from both sides:
[tex]\implies x+1-1=-1\pm4[/tex]
[tex]\implies x=-1\pm4[/tex]
Solutions
[tex]\implies x=-1+4=3[/tex]
[tex]\implies x=-1-4=-5[/tex]
Therefore, the solutions of the given quadratic equation are:
[tex]x=3, \quad x=-5[/tex]
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In a scale drawing, a rectangle has a length of 6.1 inches. The actual rectangle has a length of 85.4 inches.
Answers
Using proportions, it is found that the scale of the rectangle is of 1:14.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division to find the unit rates.
One example of application of proportions is for scale problems, as the scale is given by the following equation:
Scale = Drawn distance : Actual distance.
For this problem, we have that:
The drawn distance is of 6.1 inches.The actual distance is of 85.4 inches.Hence the scale is of:
6.1 : 85.4.
We can simplify dividing 85.4 by 6.1, hence:
85.4/6.1 = 14.
Hence the simplified scale is:
1:14.
What is the missing information?This problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the scale of the drawing of the rectangle.
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