all problems concern the following wheel, which we shall call q. 1 4 16 64 (a) estimate the probabilities of the outcomes of q. (b) estimate the expected value of q. (c)
Answers
Probabilities of Q are 1,4, 16, 64 are 312 2 8181818 , E(Q)=20.88 and 12.5% information revealed. Wheel is spin twice 0.2815.
When we are not sure about the outcome we can make possible probabilities about the situation. Therefore, it is the maximum and possible chances of something to be happen.
Step 1
Angle of one complete spin = 360°
Q=16=90° Q=6490"
Q=4-450
Q=1=135°
Here
P(Q16) = P(Q= 64)
=90/36
=1/4
Step 2
Expected value E(Q) = xP(x) E(Q) = 1x+4x+16x+64 x2/8
Step 3
c)
We learn Q=4
P(Q=4)=1/8=0.125
12.5 % information is revealed.
Please refer to solution in this step.
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Related Questions
Consider the equation xy = 0 In this equation, variables are multiplied and the result is Can the equation be true neither variable is equal to ? Can the equation be true only one variable is equal to 0If so, which one needs to be equal to Can the equation be true if both variables are equal to ? What process could you use to solve equations of the form (x + a)(x + b) = 0 In this case there are only two factors (values being multiplied ) that are being set equal to How would you solve the equation if there were more than two factors ? Explain
Answers
Answer: 1+1
Step-by-step explanation:
I not giving
While playing a game with her friends, Ellen scores 12 points less than twice the lowest score. She scored 98. What was the lowest score in the game?
Answers
ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ). using the empirical rule, about 99.7% of the scores lie between which two values?
Answers
Using the empirical rule, about 99.7% of the scores lie between 75 to 93
In this question, we have been given ms. wilson's science test scores are normally distributed with a mean score of 84 (μ) and a standard deviation of 3 (σ).
We know that the empirical rule predicts that 99.7% within the first three standard deviations (µ ± 3σ).
An empirical rule is also known as 68-95-99.7 rule.
We find the interval (µ ± 3σ)
The upper value would be,
µ + 3σ
= 84 + 3(3)
= 84 + 9
= 93
and the lower value would be,
µ - 3σ
= 84 - 3(3)
= 84 - 9
= 75
Therefore, about 99.7% of the scores lie between (75, 93)
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9^2/9^-4 using a single positive exponent
Answers
Answer:
9⁶
Step-by-step explanation:
[tex]\dfrac{9^2}{9^{-4}} = 9^2 9^{4} = 9 ^ {(2 + 4)} = 9^6[/tex]
Reciprocal of a number raised to exponent is the same as the number raised to the negative of the original exponent
So
[tex]\dfrac{1}{9^{-4}} \text{ becomes } 9^4[/tex]
what are all of the equivalent ratios to 4.5
Answers
Answer:
The two equivalent ratios of 4:5 are 8:10 and 12:15.
Step-by-step explanation:
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suppose a random variable has population standard deviation 29.5. what is the margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53?
Answers
The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.
Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.
MOE = z x (SD / √n)
where MOE = margin of error
z = found by using a z-score table
SD = sample standard deviation = 29.5
n = sample size = 53
At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.
(100 - 95) / 2 = 2.5
100 - 2.5 = 97.5
Find 0.975 in the z-table to get the value of z.
At p = 0.975, z = 1.96
Plug in the values to the formula and solve for the margin of error.
MOE = z x (SD / √n)
MOE = 1.96 x (29.5/√53)
MOE = 7.94
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Multiply the following 2 polynomials
(9 + 2x)(9 - 2x)
Answers
9x9=81
2x2=4
Answer 81-4x^2
Colleen took out a $48,000 student loan with a fixed interest rate to pay for college. Colleen did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $78,000. a. What is is the 7-year growth factor for the amount that Colleen owes on the loan? Preview b. What is the 7-year percent change for the amount that Colleen owes on the loan? % Preview c. What is is the 1-year growth factor for the amount that Colleen owes on the loan? Preview d. What is the 1-year percent change for the amount that Colleen owes on the loan? % Preview Submit
Answers
a)The 7-year growth factor for the amount on the loan is $4285.71 b) 7-year percentage change for the amount is 6.25% c) 1-year growth factor for the amount $612.244 and d) 1-year percent change for the amount is 0.894%.
a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or
Growth factor=(Final loan amount-Initial loan amount)/Total time
=>Growth factor=(78,000-48,000)/7
=>Growth factor=30,000/7=$4285.71
b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or
percentage change=((78000-48000)/48000)×100
=>percentage change=[(30000)/48000)]×100
=>percentage change=300/48=6.25%
c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it
=>In 7 years growth factor is=$4285.71
∴In 1 years growth factor is=$4285.71/7=$612.244
d)In 7 years percentage change for the given amount is =6.25%
∴In 1 year percentage change for the given amount=6.25/7=0.894%
Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%
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Where does the graph of y = -3x - 18 intersect with the x axis?
Answers
-18 is your y intercept so you mark -18 at y.
-3x/1 is your slope, so you go left 3 cubes, up 1 cube until you cross the x axis.
find the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector . the larger eigenvalue has associated unit eigenvector .
Answers
The eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector is Ax = λx.
Symmetric matrix:
In algebra, symmetric matrix a square matrix that remains unaltered when its transpose is calculated.
Given,
Here we need to find the the eigenvalues and associated unit eigenvectors of the symmetric matrix the smaller eigenvalue has associated unit eigenvector and the larger eigenvalue has associated unit eigenvector.
Here the eigenvector is a vector that is associated with a set of linear equations.
And in the eigenvector of a matrix is also known as a latent vector, proper vector, or characteristic vector.
Therefore, those are defined in the reference of a square matrix.
So, the smaller eigenvalue has associated unit eigenvector is Ax is λx.
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Fifteen percent of cellphone users use their cell phones to access the Internet. In a random sample of 10 cell phone users, what is the probability that:
Exactly 2 have used their phones to access the Internet?
More than 2 have used their phones to access the Internet?
At least 8 have used their phones to access the Internet?
No more than 5 have used their phones to access the Internet?
Between 1 and 3 people, exclusive, have used their phones to access the Internet?
Answers
1) Probability that Exactly 2 have used their phones to access the Internet is; P(X = 2) = 0.2759
2) Probability that more than 2 have used their phones to access the Internet is; P(X > 2) = 0.1798
3) Probability that at least 8 have used their phones to access the Internet is; P(X ≥ 8) = 0.00001
4) Probability that no more than 5 have used their phones to access the Internet is; P(X ≤ 5) = 0.99862
How to solve binomial probability distribution?The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.
The formula for binomial probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
Where;
P(X = x) = binomial probability
x = number of times for a specific outcome within n trials
nCx = number of combinations
p = probability of success on a single trial
q = probability of failure on a single trial
n = number of trials
1) We are given;
p = 15% = 0.15
n = 10
Thus;
P(X = 2) = 10C2 * 0.15^(2) * (1 - 0.15)^(10 - 2)
P(X = 2) = 0.2759
2) Probability that more than 2 have used their phones to access the Internet is;
P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
Using binomial probability calculator, we have;
P(X > 2) = 0.1798
3) Probability that at least 8 have used their phones to access the Internet is;
P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)
Using binomial probability calculator, we have;
P(X ≥ 8) = 0.00001
4) Probability that no more than 5 have used their phones to access the Internet is;
P(X ≤ 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
P(X ≤ 5) = 0.99862
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Using your answer from the previous question, state the value of ‘w’ if the perimeter of the rectangle is equal to 37 feet and the length is equal to 4 feet.
Answers
Answer:
16.5
Step-by-step explanation:
hence the answer is 16.5 feet
Can someone help me figure this out, i’ve been stuck on this question for an hour.
Answers
According to the given statement the function representing the points relation is f(x) = 32(3x - 1)
What are the different kinds of functions?An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.
Briefing:Depicts a few points within the graph of the linear function f given a table.
x = -2, 1, 5, 10
f(x) = -224, 64, 448, 928
From option first,
f(x) = 32(3x - 1)
Put x = -2
= 32(-2x3-1)
= 32x(-7) = -224
Consequently, f(x) = 32 is the function used to express the points connection (3x - 1)
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catalina multiplied 842 and 3 and got 3326.how did she check to see if her answer is reasonable?
Answers
Answer: Take 3326 and divide by 3
Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!
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3326 ÷ 3 = 1108.666667
Step-by-step explanation:Question: 842 x 3 = 3326?Check:
Take the answer 3326, and divide it by 3, and we should get 842:
3326 ÷ 3 = 1108.666667
It does not equal 842.
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
PLEASE HELP ME WITH THIS PROBLEM!!!!!!
Answers
Answer:
720
Step-by-step explanation:
100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720
i honestly don’t know how to do this and if anyone could help it would be appreciated
Answers
Circumference formula:
C=2r
Input radius value:
C=2(5)
Simplify:
C=31.414
So, the circle is 31.414mm in length.
Now, we need to find a fraction of this length. Remember, an arc is a fraction of the circle. We know a circle is 360° and the given arc is 232.° So, we can are looking for 232/360 of the circle’s circumference.
Arc length=232/360•31.414
Arc length=20.244
The billed arc length is about 20.244mm.
All we did was take a fraction of the circumference. The fraction was found because we are given 232 degrees out of 360, and degrees form arcs.
(7x³ + x² + x) divided by (x² + 1)
Answers
Answer:
Q=7x+1, R=-6x-1
Step-by-step explanation:
7x + 1
----‐----------------------------
x² + 1 | 7x^3 + x^2 + x
-) 7x^3 +7x
---‐---‐----------------------------
x^2 -6x
-) x^2 +1
--------------------
-6x-1
please help solve! cannot find answer and i’m trying to work on math
Answers
Answer: 19/21>8/9
Step-by-step explanation:
common denominator is 63
19*3=57 so thats 57/63
8*7=56 so thats 56/63
what is the coefficient of -2 and -3
Answers
Answer:
The coefficient of -2 and -3 is -6.
PLS HELP ASAP>>>>>>Write an equation in slope-intercept form for the line that passes through (3,1) and (1,2). Pls show work
Answers
The equation in slope-intercept form is found as; y = -x/2 + 5/2.
State the equation in slope-intercept form?When you understand the slope of a line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y frequency of the y intercept position is denoted by the symbol b in the formula.For the stated question.
Two point are-
(x1, y1) = (3,1)
(x2, y2) = (1,2)
Thus,
slope m = (y2 -y1)/(x2 - x1)
m = (2 - 1)/(1 - 3)
m = -1/2
Equation of line;
y - y1 = m(x - x1)
y - 1 = (-1/2)(x - 3)
y = -x/2 + 5/2
Thus, the equation in slope-intercept form is found as; y = -x/2 + 5/2.
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An adult ticket to a museum costs $3 more than a children's ticket. When 200 adult tickets
is $2100. What is the cost of a
and 100 children's tickets are sold, the total revenue
children's ticket?
Answers
children: $7.50, the total revenue would be $750
i divided 2100 and 200 to get 10.5, and since the adult ticket is three dollars more than the children’s ticket, it would be 7.5. multiply that by 100, you’ll have 750. hope this helped!
Jack's Car Rental rents out cars, trucks, and SUVs to both individuals and to businesses. For the month of June, they rented out 29 cars, 9 trucks, and 16 SUVs to individuals. They also rented out 13 cars, 22 trucks, and 4 SUVs to businesses. Which of the following matrices could represent this information?
Answers
The matrix that represents this information is
| 29 9 16 |
| 13 22 4 |
How to determine which matrices can represent the information?
Matrices (singular matrix) are rectangular arrays or tables where numbers or elements are arranged in rows and columns
Given that:
For the month of June, they rented out 29 cars, 9 trucks, and 16 SUVs to individuals. They also rented out 13 cars, 22 trucks, and 4 SUVs
A defined above, matrices can be viewed as a table. Thus, we can write:
Cars Trucks SUVs
29 9 16
13 22 4
In matrice form:
| 29 9 16 |
| 13 22 4 |
Therefore, the matrix that represents this information is
| 29 9 16 |
| 13 22 4 |
Option D. is the answer
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A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below. How many possible dinner special combinations are there?
Starter: breadsticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork
Answers
The total number of possible dinner combinations are 15
What are Combinations?
The number of ways of selecting r objects from n unlike objects is calculated by combination. The formula for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the total number of dinner combinations be = T
Now ,
The values of Starters is represented in set = A
The values of Entree is represented in set = B
The values of Set A = { bread sticks , soup , salad }
The values of Set B = { beef , fish , chicken , shrimp , pork }
Now , the total combinations of possible selection of Starters = ³C₁
The total combinations of possible selection of Entree = ⁵C₁
So , the total number of dinner combinations T = total combinations of possible selection of Starters x total combinations of selection of Entree
And , the equation is
The total number of dinner combinations T = ³C₁ x ⁵C₁
The total number of dinner combinations T = 3 x 5
The total number of dinner combinations T = 15
Therefore , the value of T is 15
Hence , The total number of possible dinner combinations are 15
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Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
[Linear pair ] [ vertical ] [ adjacent ] [none of these ]
Answers
Based on the image given above, the angles that are numbered can be classified as:
∠1 and ∠2: vertical angles
∠3 and ∠4: adjacent angles
What are Adjacent Angles?Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.
For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.
What are Vertical Angles?If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.
For example, in the image given, angles 1 and 2 are vertical angles.
Therefore, the angles would be classified as:
Angles 1 and 2: vertical angles
Angles 3 and 4: adjacent angles
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Answer:
3 and 4 are adjacent angles, and 1 and 2 are vertical angles.
Step-by-step explanation:
vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')
3. Select all that apply. Which of the following are equal to 600?
A. 400 increased by 50%
B. 500 increased by 25%
C. 300 increased by 75%
D. 800 decreased by 25%
Answers
The answer's are A and D!
Let me know if I'm right please!
I need HELP! I dont understand and need help!
algebra 2 please HELP
Answers
Answer:
[tex]y = 3.48(1.32)^{x}[/tex]
Step-by-step explanation:
8 = ab^3
42 = ab^9
b = 1.32
[tex]\frac{8}{(1.32)^{3} } =\frac{a(1.32)^{3} }{(1.32)^{3} }[/tex]
a = 3.48
Answer:
[tex]y = 3.48(1.32)^{x}[/tex]
Need some help, explain.
Answers
Answer:
hope this will help you
if the mean of 5 values equals 64, then what is the ∑x?
Answers
If the mean of the five values is equals to 64 then the sum of x values i.e., ∑x is 320.
Arithmetic mean:
Arithmetic mean is simply called mean or average. To calculate the arithmetic mean of a set of values, we need to add all the values and then divide the sum by the number of values in the set.
X-bar = ( a₁ + a₂ + -----+ aₙ )/n
Here, there are n items in the set, and each item is represented by one of the a's.
We have given that,
Mean of 5 values , X-bar = 64 , n = 5
we have to calculate the sum of x i.e ∑x
Using Arithmetic mean formula,
sum of x , ∑x = X-bar × n , where x is five values
so, ∑x = 64 × 5 = 320
Hence, the sum of x values is 320.
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Which of the equations is NOT equivalent to 6x = 20? Select all that apply. 6x ÷ 6 = 20 ÷ 6 6x ÷ 6 = 20 ÷ 20 6x + 5 = 20 + 5 6x − 1 = 20 − 1 6x × 6 = 20 × 20
Answers
These three expressions
6x ÷ 6 = 20 ÷ 6
6x + 5 = 20 + 5
6x − 1 = 20 − 1
will be equal to the given expression.
What is Expression ?Operators, constants, and variables all come together to form an expression. A value can be produced by an expression using one or more operands and zero or more operators.
We have to check which equation will be equal to 6x = 20
6x ÷ 6 = 20 ÷ 6
After Multiplying both sides by 6.
We get, 6x = 20
6x ÷ 6 = 20 ÷ 20
After simplifying we get,
x = 1
Multiplying both sides by 6
6x = 6, Hence it doesn't satisfy.
6x + 5 = 20 + 5
Subtract 5 both sides of the equation
We get, 6x = 20
6x − 1 = 20 − 1
Adding 1 both sides of the equation,
We get, 6x = 20
6x × 6 = 20 × 20
After simplifying, we get
36x = 400
Hence, only
6x ÷ 6 = 20 ÷ 6
6x + 5 = 20 + 5
6x − 1 = 20 − 1
will be equal to the given expression.
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A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defectives ones are identified. Denote by N1the number o tsis mad un the first defectiv is identified and by N2 ihe number of additional tests until the second defective is identified. Find the joint probability mass function of N1 and N
Answers
The joint probability mass function of N1 and N2 for the given transistors is 1/15.
Explain the term selection without replacement?The total number of things available for the initial selection is one extra than the number of units available for such second option when items are chosen without replacement. Due to the fact that one object has been chosen and not returned to the pool.For the stated question-
Six transistors total.2 transistors are faulty in total.Four non-defective transistors are present.N1: The number of tests conducted before the first flaw is found = 2/6.
N2: The number of tests that must be performed before the second problem is found = 1/5.
If N1 = 1 and N2 = 1, then
P(N1 = 1; N2 = 1) = 2/6 x 1/5
P(N1 = 1; N2 = 1) = 2/30
P(N1 = 1; N2 = 1) = 1/15
Thus, joint probability mass function of N1 and N2 for the given transistors is 1/15.
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