Answer:14
Step-by-step explanation:
X-6=8
+6. +6
X=14
Prizes and the chances of winning in a sweepstakes are given in the table below.
Prize Chances
$10,000,000 1 chance in 300,000,000
$350,000 1 chance in 150,000,000
$50,000 1 chance in 10,000,000
$20,000 1 chance in 1,000,000
$400 1 chance in 200,000
A watch valued at $75 1 chance in 6,000
(a) Find the expected value (in dollars) of the amount won by one entry.
(b) Find the expected value (in dollars) if the cost of entering this sweepstakes is the cost of a postage stamp (34 cents)
The expected value of the discrete distribution, for each case, is given as follows:
a) Amount won by one entry: $0.075.
b) If the cost is the cost of a postage stamp: -$0.525.
How to obtain the expected value of a discrete distribution?The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's probabillity.
In this problem, the distribution for the prizes is given as follows:
P(X = 10,000,000) = 1/300,000,000.P(X = 350,000) = 1/150,000,000.P(X = 50,000) = 1/10,000,000.P(X = 20,000) = 1/1,000,000.P(X = 400) = 1/200,000.P(X = 75) = 1/6,000.Hence the expected value for the prizes is:
E(X) = 10,000,000 x 1/300,000,000 + 350,000 x 1/150,000,000 + 50,000 x 1/10,000,000 + 20,000 x 1/1,000,000 + 400 x 1/200,000 + 75 x 1/6,000 = $0.075.
The cost of a postage stamp is of $0.6, hence the expected value considering this cost would be of:
0.075 - 0.6 = -$0.525.
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In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA. A. the row variance estimate B. the within-cells variance estimate C. the column variance estimate D. the interaction variance estimate
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
Option B is right choice.
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.
This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.
This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.
Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.
Option B is right choice.
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What shape is generated when a rectangle, with one side parallel to an axis but not touching the axis, is fully rotated about the axis?
A solid cylinder
A cube
A hollow cylinder
A rectangular prism
Answer:
Step-by-step explanation:
Its rectangular prism trust me I did the quiz
can anyone solve these with explanation? 40 points for it +brainliest if i can
Answer:
x² - 8x - y = -7
4x² + 8x - y = 12
x = -5, -1
x = 1, 3
Step-by-step explanation:
Standard form means two variables on one side of the equation and a constant on the other side.
y = (x-7)(x-1)
y = x² - 8x + 7
x² - 8x - y = -7
y = 4(x - 1)(x + 3)
y = 4x² + 8x - 12
4x² + 8x - y = 12
The second part says to determind the x-intercepts and zeros of each function. X-intercepts means places where the function crosses the x-axis, or where y = 0. The zeros of a function are the same thing. This means where f(x) = 0.
So for the first equation, we look to see when values of x cause the function to be equal to 0. Any term on the left side must equal 0 for this to happen. To find the zeros, set a polynomial term equal to zero and solve for x. So...x = -5, -1 achieves this result.
For the second equation, we set (x - 3) and (x - 1) equal to zero, solve for x, and we get that x = 1, 3.
volume equals length times width times height v=lwh
solve the equation for l
Answer:
\(\frac{V}{wh}=l\)
Step-by-step explanation:
Equation: \(V=lwh\)
1). \(\frac{V}{wh}=\frac{lwh}{wh}\)
2). \(\frac{V}{wh}=l\)
Read image for instructions The shape of the distribution is…
Ok, so
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.
Please help please give answers for both :)
Answer:
25 cm^2
24 cm
Step-by-step explanation:
5*5 = 25 cm^2
Make sure not to forget the cm^2, otherwise you will get it wrong
10 + 14 = 24 cm
this is only perimeter so only cm
Answer:
25 cm²
24 cm
Step-by-step explanation:
Area of a Square: A = lw
Since the sides of a square are all the same, we have A = 5(5) = 25 cm²
Perimeter of a Rectangle: 2w + 2l
Simply plug it in:
P = 2(7) + 2(5)
P = 14 + 10
P = 24 cm
I've been learning this but I don't remember how to find x?
Answer:56 degrees
Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.
Answer:
the answer is x = 56 degrees
and your not finding the side lengths
Step-by-step explanation:
there is 2 62 degrees,
meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either
so x = 56
Will give another brain!!
Jonah’s restaurant bill comes to $25.65, and he leaves a 15% tip. What is Jonah’s total restaurant bill?
Answer:
$29.50
Step-by-step explanation:
Not sure how your teacher wants you to round up.
$29.4975
Rounded -> $29.50
I'm assuming 2 decimal places; would be $29.50.
What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22
Answer:
(-7,22)
Step-by-step explanation:
x+7 moves the graph left 7 (-7)
+22 moves it up 22
the 2 at the beginning is a shrink and it doesn't matter when finding the vertex
Prove by induction that there are constants n0, a1, a2 such that:
for n > n0: a1*n*lg*n <= T(n) <= a2*n*lg*n
where * is the multiplication sign and <= means less than or equal to
To prove the inequality for all n > n0 using induction, we will follow these steps:
Step 1: Base Case
We will verify the base case when n = n0. If the inequality holds true for this value, we can proceed to the induction step.
Step 2: Induction Hypothesis
Assume the inequality holds true for some k > n0, i.e., a1klg(k) ≤ T(k) ≤ a2klg(k).
Step 3: Induction Step
We need to prove that the inequality holds true for k+1, i.e., a1*(k+1)lg(k+1) ≤ T(k+1) ≤ a2(k+1)*lg(k+1).
Let's proceed with the proof:
Base Case:
For n = n0, we assume the inequality holds true. So we have a1n0lg(n0) ≤ T(n0) ≤ a2n0lg(n0).
Induction Hypothesis:
Assume the inequality holds true for some k > n0:
a1klg(k) ≤ T(k) ≤ a2klg(k).
Induction Step:
We need to prove that the inequality holds true for k+1:
a1*(k+1)lg(k+1) ≤ T(k+1) ≤ a2(k+1)*lg(k+1).
To prove this, we can use the following facts:
For k+1 > n0:
a1klg(k) ≤ T(k) (by the induction hypothesis)
a1*(k+1)*lg(k+1) ≤ T(k) (since k+1 > k, and T(k) is non-decreasing)
For k+1 > n0:
T(k) ≤ a2klg(k) (by the induction hypothesis)
T(k) ≤ a2*(k+1)*lg(k+1) (since k+1 > k, and T(k) is non-decreasing)
Therefore, combining the above two inequalities, we have:
a1*(k+1)lg(k+1) ≤ T(k+1) ≤ a2(k+1)*lg(k+1).
By proving the base case and the induction step, we can conclude that the inequality holds for all n > n0 by mathematical induction.
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a) Let Y ~ Exp(β). Derive mY(t), the mgf of Y (your answer shall be an explicit function of β and t, and shall not contain any expectation or integration). Why is the mgf undefined for t ≥ 1/β ?
b) Let Y ∼ Poi(λ). Derive mY (t), the mgf of Y (your answer shall be an explicit function of β and t, and shall not contain any expectation or integration).
To derive this, we first use the definition of the Poisson distribution and write the expected value as an infinite sum. We then substitute the pmf of the Poisson distribution and simplify the sum using the Taylor series expansion of e^x. This gives us the mgf of Y as \(e^λ(e^t - 1).\)
a) The moment-generating function (mgf) of a random variable Y is defined as \(M(t) = E[e^(tY)]. For Y ~ Exp(β),\) we have:
\(M(t) = E[e^(tY)] = ∫₀^∞ e^(ty) βe^(-βy) dy = β/(β-t)\)
To derive this, we first use the definition of the exponential distribution and write the expected value as an integral from 0 to infinity. We then substitute the pdf of the exponential distribution and simplify the integral using the rule for the integral of e^(-ax) from 0 to infinity, which is a/(a+t). This gives us the mgf of Y as β/(β-t).
The mgf is undefined for t ≥ 1/β because the integral ∫₀^∞ e^(ty) βe^(-βy) dy diverges for these values of t, meaning that the mgf does not exist.
b) For Y ~ Poi(λ), the mgf is given by:
\(M(t) = E[e^(tY)] = ∑_{y=0}^∞ e^(ty) (λ^y / y!) e^(-λ) = e^λ(e^t - 1)\)
To derive this, we first use the definition of the Poisson distribution and write the expected value as an infinite sum. We then substitute the pmf of the Poisson distribution and simplify the sum using the Taylor series expansion of e^x. This gives us the mgf of Y as e^λ(e^t - 1).
Note that this mgf is defined for all values of t.
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Which of the binomials below is a factor of this trinomial ? \(x^{2} +5x+6\)
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A. x + 3
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EXPLANATION:
\(x^{2} +5x+6\\ = (x+2) * (x + 3)\)
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Therefore:
The correct answer: A. x + 3.
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The table on the left and the equation below represent
two different functions with a as the independentvariable.
Equation: b= 4a - 5
Which is larger when a=6: b or c?
Answer:
There isn't enough information
Step-by-step explanation:
In the table, on the side with a we can see that there is not one with 6 as a possible term. Therefore, we cannot find the term for b or c since you need both a and c to find b.
In ΔABC,BC=15,BE=6, D C=12 , and AD=8 . Determine whether DE | AB . Justify your answer.
In triangle ABC, with BC = 15, BE = 6, DC = 12, and AD = 8, we need to determine whether DE is parallel to AB.
To determine if DE is parallel to AB, we can examine the ratios of corresponding sides. Let's start by finding the lengths of AB and DE. Using the given information, we can apply the proportionality of sides in triangles.
In triangle ABC, using the proportionality theorem, we have:
AB/BE = AC/BC
Substituting the given values, we get:
AB/6 = (AB + 12)/15
Simplifying the equation, we find:
15AB = 6(AB + 12)
15AB = 6AB + 72
9AB = 72
AB = 8
Now, let's consider triangle ADE. Using the same proportionality theorem, we have:
DE/AD = BE/BC
Substituting the given values, we get:
DE/8 = 6/15
Simplifying the equation, we find:
15DE = 48
DE = 48/15 = 16/5
Since AB and DE have different lengths, we can conclude that DE is not parallel to AB. Therefore, DE does not intersect AB at any point and is not parallel to it.
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Suppose p(A|B) = 0.7, P(A|BC) = 0.3, and p(A) = 0.5- What is p(B) (write it up to first decimal place)?_____
p(B) = 0.5 up to the first decimal place.
We can use Bayes' theorem to find p(B) given the conditional probabilities provided:
\(p(A|B) = 0.7, p(A|BC) = 0.3, and p(A) = 0.5\)
First, we can use the law of total probability to find p(A|B) and p(A|BC):
\(p(A) = p(A|B)p(B) + p(A|BC)p(B^c)\)
where \(B^c\) denotes the complement of B, i.e., not B. Substituting the given values, we get:
\(0.5 = 0.7p(B) + 0.3p(B^c)\)
We can rearrange this equation to solve for p(B):
\(0.2 = 0.4p(B) - 0.3p(B^c)\\0.5 = p(B) + p(B^c)\)
Substituting \(p(B^c) = 1 - p(B)\), we get:
\(0.5 = p(B) + (1 - p(B))\)
Solving for p(B), we get:
\(p(B) = 0.5 - p(B^c) = 0.5 - (1 - p(B)) = 2p(B) - 0.5\\0.5 = p(B)\)
Therefore, p(B) = 0.5 up to the first decimal place.
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Which table represents a function
Answer:
The top right
Step-by-step explanation:
In the top right table, every x value has only one y value.
Your math test scores have been: 73, 86, 91,88 Just from these scores, your current grade is 84.5 You just scored a 67 on the last test. What is your new grade?
Answer:
\(81\)
Step-by-step explanation:
The average of a set of \(n\) values is equal to the sum of the values in that set divided by \(n\).
Therefore, the average of your 5 scores is equal to \(\frac{73+86+91+88+67}{5}=\boxed{81}\). Since evidently your grade is represented by the average of all your scores, your new grade is 81.
under what kind of sampling procedure must the researcher adhere closely to precise selection procedures to ensure that the results are projectable to the population under study?
Probability sampling procedure is the way researcher adhere closely to precise selection procedures to ensure that the results are projectable to the population under study.
What is Probability Sampling ?
Using this methodology based on probability theory, probability sampling is the strategy in which the research fellows selects samples from the larger population. A participant must be chosen at random if they are to be used as a probability as a sample.
As in this question researcher must follow Probability sampling, a participant must be chosen at random if they are used as a probability as the sample.
So, the required answer will be Probability sampling, as it helps researcher to precise selection procedures.
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HELP PLEASE SHOW ME HOW TO DO THIS
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
what+is+the+present+value+of+annual+$8,848+payments+over+the+upcoming+5+years+,on+an+interest+rate+of+10%?
The present value of $8,848 annual payments over the next 5 years at an interest rate of 10% is approximately $33540.88.
The present value of an annuity is a measure of its worth today, taking into account the time value of money and the rate of interest. To calculate the present value, each future payment is discounted back to the present day.
In this case, with an interest rate of 10%, each $8,848 payment is worth less in today's dollars the further out it is made. The present value of these payments over the next 5 years would be the sum of the present value of each payment, which is approximately $33540.88.
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anyone know the answer??
The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .
How to find the angle ?The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .
In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse
Cos ( angle ) = 17 / 27
Angle = Cos ⁻ ¹ ( 17 / 27 )
Angle = 50. 98 degrees
Angle = 51 degrees
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Patterns are made using straight lines and arcs.
Pattern A (one row)
Pattern B (two rows)
More rows are added to Pattern B so that
number of straight lines : number of arcs = 7:6
How many rows are added?
5 rows are to be added in the pattern if the ratio will be 7:6 between number of straight lines.
What is a pattern?
A pattern is a sequence. It can be an AP, GP also.
How to determine the number of rows to be added?
present ratio between number of straight lines and number of arcs
=8:9
When we add 1 row it will increase 4 straight lines and 3 arcs. So when 5 rows are added it will increase 20 straight lines and 15 arcs.
Then total number of straight lines will be 28 and the total number of arcs will be 24 and the ratio will be 28:24 which after dividing by 4 becomes 7:6.
Hence 5 rows are to be added in the pattern B to get the ratio 7:6.
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Matemáticas
4. Javier pagó $92 por 5 libretas y 3 lápices. Laura compró 2 libretas y 6 lápices, y pagó $56, ¿cuál es el
precio de cada libreta y de cada lápiz
The price of each book and pencil is $16 and $4, respectively.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
First, you should convert the text of the question into a math expression. Then,
Javier pagó $92 por 5 libretas y 3 lápices. You can represent this text as the equation:5B+3L=92, where B= libretas and L=lápices.
Laura compró 2 libretas y 6 lápices, y pagó $56. You can represent this text as the equation:2B+6L=56, where B= libretas and L=lápices.
Therefore,
5B+3L=92 (1)
2B+6L=56 (2)
After that, you should multiply equation(1) by -2. Thus,
-10B-6L=-184(1)
2B+6L=56 (2)
Now, when you sum equations 1 and 2, you eliminate L . Thus, from this sum, you will have:
-8B=-128
B=128/8
B=16
If B=16, from equation 2, you can find L.
2B+6L=56 (2)
2*16+6L=56
32+6L=56
6L=56-32
6L=24
L=4
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Given that circle P has a radius of 7 and a center of (3, -2), which point lies on the perimeter of circle P?
A. (3, -9)
B. (4, 2)
C. (3, -2)
D. (4, -5)
Answer: (3, -9)
Step-by-step explanation:
The equation of P is \((x-3)^2 +(y+2)^2 =49\)
Substituting the coordinates of each of the points into the equation, we see that only (3, -9) satisfies the equation.
Determine the operation that results in the simplified expression below. x^5+x^4-5x^3-3x^2+x-8
Answer:
The second choice is correct:
.. Q - P
_____
The constant term is all you really need to look at to figure this.
For P(x), the constant is +2.
For Q(x), the constant is -6.
For P+Q, the constant is -4 . . . . not correct
For Q-P, the constant is -8 . . . . correct
For PQ, the constant is -12 . . . . not correct
For P-Q, the constant is 8 . . . . .not correct
Step-by-step explanation:
Change 9.65 kg into grams
this is the answer 9650
Step-by-step explanation:
kilogram 9.65
gram 9650
Answer: 9650 grams
Step-by-step explanation:
Direct conversion formula: 1 Kilogram / 1000 = 1 Grams
assuming that a rabbit runs at a speed of 12.0 meters per second. how far would the rabbit travel in 11.5 seconds?
The rabbit travels a distance of 138 m, and the average speed of the hiker for the entire trip is 7.2 km/h.
Given that,
Speed = 12.0 m
Time = 11.5 seconds
Now we need to calculate the distance by using the formula of distance:
d=v*t
d=12.0*11.5
d=138m
The rabbit travels a distance of 138 m.
Distance = 5.10 km
Time = 1 hour
Distance 16.5 km
Time = 2 hours
To calculate the average speed of the hiker for the entire trip using the formula of average speed:
v=D/T
Where, D = Total distance
T = Total time
Put the value into the formula:
v=5.10+16.5/1+2
v=7.2km/h
Therefore, the average speed of the hiker for the entire trip is 7.2 km/h.
Hence, This is the required solution.
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12.4 is 20% of what number?
A. 2.48
B. 32.4
C. 62
D. 248
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
put 12.4* 20 and you get D