The answer is b. False. The mean of a random variable with only integer values may not always be an integer. The sum of integer values can result in a non-integer mean depending on their frequencies or weights.
The mean, e(x), of a random variable is a measure of its central tendency and is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. However, if the random variable, x, has only integer values, it does not necessarily mean that the mean will always be an integer.
Let's consider an example to understand this concept better. Suppose we have a random variable, x, that represents the number of children in a family. The possible values for x are 0, 1, 2, 3, and so on. Let's say the probabilities associated with each of these values are 0.2, 0.3, 0.4, 0.05, and 0.05, respectively. If we calculate the mean using these probabilities and integer values, we would get:
(0 * 0.2) + (1 * 0.3) + (2 * 0.4) + (3 * 0.05) + (4 * 0.05) = 1.45
In this case, the mean, e(x), is 1.45, which is not an integer. Therefore, the statement that the mean of a random variable with only integer values will always be an integer is false.
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A beef cow is eating 1 pound per day of a liquid protein supplement (as fed). The supplement contains 76% DM and 20% CP, DM basis. How many pounds of CP is the cow eating per day (from the supplement)
The cow is eating 0.2 pounds of CP (Crude Protein) per day from the liquid protein supplement.
To determine the amount of CP the cow is consuming from the supplement, we need to consider the CP content based on the dry matter (DM) basis. Given that the supplement has 76% DM and 20% CP on a DM basis, we can calculate the CP content per pound of the supplement.
Since the cow is eating 1 pound of the supplement per day, we can multiply this weight by the CP percentage on a DM basis (0.76 * 0.20) to find the amount of CP consumed. This results in 0.152 pounds of CP per pound of the supplement.
Therefore, the cow is consuming 0.2 pounds of CP per day from the liquid protein supplement.
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A medium pizza at Benny’s Pizza costs $13.60 plus $2.50 for each topping. At Ricco’s Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
A.A pizza with three toppings will cost less at Benny's Pizza.
B.A pizza with four toppings will cost less at Ricco's Pizza.
C.A pizza with two toppings will cost more at Ricco's Pizza.
D.A pizza with one topping will cost more at Benny's Pizza.
Answer: A
Step-by-step explanation:
Benny's Pizza
13.60 + 2.50(3)
13.60 + 7.50
21.10
Ricco's Pizza
14.60 + 2(3)
14.60 + 6
21.60
What is 6089385829582858385+18383059285829492? Try with no calculator. :)
Given a function f(x). Suppose that Newton's interpolating polynomial P 2(x) of f(x) at the points x 0 =−3,x 1 =1 and x 2 =2 is P 2 (x)=x 2 +x+2. Calculate f[x0 ,x 1 ].
a. 4 b. −4 c. −3 d. −1
The value Newton's interpolating polynomial P 2(x) of f(x) of f[x0, x1] is -4.
In Newton's interpolating polynomial, the coefficients of the linear terms (x) correspond to divided differences. The divided difference f[x0, x1] represents the difference between the function values f(x0) and f(x1) divided by the difference between x0 and x1.
Since we are given P2(x) = \(x^2 + x + 2\), we can substitute the given x-values into P2(x) to find the corresponding function values.
For x0 = -3, substituting into P2(x) gives f(-3) = \((-3)^2 + (-3) + 2 = 12\).
For x1 = 1, substituting into P2(x) gives f(1) = \((1)^2 + (1) + 2 = 4\).
To calculate f[x0, x1], we need to find the divided difference between these two function values: f[x0, x1] = (f(x1) - f(x0)) / (x1 - x0) = (4 - 12) / (1 - (-3)) = -8 / 4 = -2.
Therefore, f[x0, x1] = -2, and the correct answer choice is b. -4.
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Idil has a smart phone data plan that costs $25 per month that includes 10 GB of
data, but will charge an extra $20 per GB over the included amount. How much
would Idil have to pay in a month where she used 4 GB over the limit? How much
would Idil have to pay in a month where she used went over by x GB?
How many solutions exist for the system of equations in the graph?
In a quadrilateral ABCD , AB = BC and CD = DA . Then , the quadrilateral is a :
a) Parallelogram
b) Rhombus
c) Kite
d) Trapezium
PLEASE HELP ME !! I BEG
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
\(\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}\)
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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find the point of the line segment joining the points (-2,-1) and (-10,4)
(type an ordered pair)
the midpoint is ____
Answer:
( - 6, 1.5 )
Step-by-step explanation:
( x1, y1 ) = ( - 2, - 1 )
Here,
x1 = - 2
y1 = - 1
( x2, y2 ) = ( - 10, 4 )
Here,
x2 = - 10
y2 = 4
Formula : -
Mid - point = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Mid - point = ( - 2 - 10 ) / 2, ( - 1 + 4 ) / 2
= - 12 / 2, 3 / 2
Mid - point = ( - 6, 1.5 )
90 to the nearest tenth
Answer:
90
Step-by-step explanation:
Hey there!
Well 90.000 to the nearest tenth is just 90 because there is no decimal places to round.
Hope this helps :)
Answer:
90
Step-by-step explanation:
90 has 0 ones so 90 is just 90, but rounded...
5. Write a stored procedure in T-SQL that will change the maximum group size of a trip with a given trip ID. How would you use this stored procedure to change the maximum group size of trip 21 to 15
By utilizing the stored procedure, we can easily and efficiently modify the maximum group size of a trip by providing the trip ID and the desired new maximum group size as input parameters.
The stored procedure in T-SQL can be used to change the maximum group size of a trip with a given trip ID. In this case, we would use the stored procedure to change the maximum group size of trip 21 to 15.
To create the stored procedure, we would define a parameter for the trip ID and the new maximum group size. The procedure would then update the corresponding record in the trips table with the new maximum group size based on the provided trip ID.
Here's an example of the T-SQL stored procedure:
sql
CREATE PROCEDURE ChangeMaxGroupSize
TripID INT,
NewMaxGroupSize INT
AS
BEGIN
UPDATE trips
SET MaxGroupSize = NewMaxGroupSize
WHERE TripID = TripID
END
To use this stored procedure to change the maximum group size of trip 21 to 15, we would execute the following command:
sql
EXEC ChangeMaxGroupSize TripID = 21, NewMaxGroupSize = 15
This would update the trips table, specifically the record with TripID 21, setting the MaxGroupSize column to 15. By utilizing the stored procedure, we can easily and efficiently modify the maximum group size of a trip by providing the trip ID and the desired new maximum group size as input parameters.
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measurement basis used when a reliable estimate of fair value is not available.
t
f
The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.
Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.
This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.
For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.
In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.
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Given f(x) = -2x and g(x) = 10x-3 find f(g(x))
Answer:
-20x^2 -6x
Step-by-step explanation:
I don't want to explain the whole thing, but here's a pic.
Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? explain
A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.
Yes, the large-sample confidence interval will be valid.
What is meant by normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.
The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.
What does a large sample confidence interval for a population mean?A sample is considered large when n ≥ 30.
By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.
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Do I just type out where the dots are on the x axis?
Answer:
yes
Step-by-step explanation:
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. \(\mu_{1}=\mu_{2}=\mu_{3}\)
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
\(\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29\)
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
x+2= square root -13x-26
Answer:
x = -15 and x = -2
Step-by-step explanation:
x+2 = \(\sqrt{-13x-26}\)
first step is to square both sides to eliminate the square root symbol
(x+2)² = -13x - 26
now use the 'foil' method on (x+2)² to get:
x² + 4x + 4 = -13x - 26
add 13x to each side to get:
x² + 17x + 4 = -26
add 26 to each side to get:
x² + 17x + 30 = 0
(x+15)(x+2) = 0
x+15 =0; x = -15
x+2 =0; x = -2
4x-5=x-1+3x I need help
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
4x - 5 = x - 1 + 3x
Step 2: Solve for x
Combine like terms: 4x - 5 = 4x - 1Subtract 4x on both sides: -5 ≠ -1Here we see that -5 does not equal -1.
∴ This equation has no solutions.
Which is a solution of the inequality 7 ≤ −2x + 3 ?
A.) 1
B.) 2
C.) −2
D.) −1
Answer: x ≤ -2
Option C is correct
Answer:
x ≤ -2 then it is C) -2
Step-by-step explanation:
7 ≤ −2x + 3
2x+7 ≤ + 3
2x ≤ 3-7
2x ≤ -4
x ≤ -4/2
x ≤ -2
4•(2+5)^2 -5^2 how do I solve this?
Answer:
4•(2+5)^2 -5^2 = 171
Step-by-step explanation:
Do BIDMAS
(brackets, indices, division, multipy, add, sub)
so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps
Answer: Brackets => 4 x (7)^2 - 5^2
Indices/Orders => 4 x 49 - 25
Multiplication => 196 - 25
Subtraction => 171
Which is the graph of f(x) = x^2- 2x + 3?
Answer:
you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph
32 Ounces of Juice for $7.04. How much per ounce
Answer:
$0.22.
Step-by-step explanation:
To find the cost per ounce of juice, divide the total cost of 32 ounces of juice by the number of ounces:
7.04 ÷ 32 ounces = 0.22 per ounce
So, the cost per ounce of juice is approximately $0.22.
Answer:
0.22
Step-by-step explanation:
an 8-person committee is to be formed from a group of 15 women and 12 men. in how many ways can the committee be formed if the committee must contain four men and four women? if there must be at least two men? if there must be more women than men?
The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of Permutation and Combination.
If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.
To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.
To get the total number of ways, we can multiply these numbers:
495 x 1,365 = 7,425.
To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.
To get the total number of ways, we can add these numbers:
495 x 5,005 + 2,190 x 3,003 = 58,275.
To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.
To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.
Adding these numbers gives us the total number of committees with more women than men:
15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700
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A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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You earn $2,323 per month after taxes. Your monthly bills are as follows….Rent $870, food $754, child care $961, car $607 and taxes $242. How much must you earn in order to pay all of your bills? A.$3460 B.$4267 C.$4362 B.$3434
Answer: The answer would be d. 3434
Step-by-step explanation:
5) find the value of x to the nearest tenth.
6) you sight a rock climber on a cliff at a 32° angle of elevation. your eye level is 6ft above the ground and you are 1000ft from the base of the cliff. what is the approximate height of the rock climber from the ground?
In linear equation, 631 ft is the approximate height of the rock climber from the ground and 0.64350 is the value of x.
What in mathematics is a linear equation?
An mathematical equation with only a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The distance of the climber from the ground is x + 6 ft , where 6 ft is the height of the observer from the ground
5) Cosθ = 32/42
Cosx = 16/21
x = cos⁻¹(16/21)
x = 0.64350
6) We use the trigonometry ratios to work out x
tan(32) = x/1000
x = 1000 tan(32)
x = 625 ft (to the nearest integer)
Hence, the height of the climber from the ground is 625+6 = 631 ft.
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find the volume of a 2by2
Answer:
24
Step-by-step explanation:
2+2+2 = 6*2 = 12*2 = 24
Morning! I have a question before class...
Answer:
here is the answer :
Step-by-step explanation:
AC=5x-5(similar triangle )
y=10,x=28 (both reasons are similar triangle)