For all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.
What is the sample mean?The term "Sample Mean" describes the mean value of a data sample taken from a sizable data population. If the sample size is big and the statistical researchers randomly select portions of the population, it is a useful tool for determining the population mean.Only a few observations—selected from the population data—are taken into account when calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.In the situation where, with a mean of $383,500 and an SD of $289,321, the prices of homes in the US are strongly skewed to the right.
The shape of the distribution of the sample means for all possible random samples of size 10 from this population will be skewed right.
Therefore, for all conceivable random samples of size 10 from this population, the sample means distribution will have a right-skewed form.
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Correct question:
The prices of houses in the US are strongly skewed to the right with a mean of $383,500 and a standard deviation of $289,321. A real estate agent takes a random sample of 10 houses and records the mean price. What is the shape of the distribution of the sample mean for all possible random samples of size 10 from this population?
i inserted a picture of the question, i can give you the answer to the previous question if it helps. C(t) = -0.30(t-12)^2 + 40
Answer:
F(t) = -0.54(t - 12)² + 104
Explanation:
We know that C(t) = -0.30(t - 12)² + 40 and F(t) = 9/5C(t) + 32
Then, we can replace C(t) on the equation of F(t) to get
\(\begin{gathered} F(t)=\frac{9}{5}C(t)+32 \\ F(t)=\frac{9}{5}(-0.30(t-12)^2+40)+32 \\ F(t)=\frac{9}{5}(-0.30)(t-12)^2+\frac{9}{5}(40)+32 \\ F(t)=-0.54(t-12)^2+72+32 \\ F(t)=-0.54(t-12)^2+104 \end{gathered}\)Therefore, the new function F(t) is
F(t) = -0.54(t - 12)² + 104
according to a report by the u.s. fish and wildlife service, the mean length of six-year-old rainbow trout in the arolik river in alaska is millimeters with a standard deviation of millimeters. assume these lengths are normally distributed. (a) what proportion of six-year-old rainbow trout are less than millimeters long? (b) what proportion of six-year-old rainbow trout are between and millimeters long? (c) is it unusual for a six-year-old rainbow trout to be less than millimeters long? round the answers to at least four decimal places.
Proportion of six-year-old rainbow trout that are less than millimeters long:To find the required proportion, the standard normal variable can be calculated using the z-score formula as follows:
\(z = (x - μ) / σWhere,μ = 331.6 mm\) (mean length of six-year-old rainbow trout)\(σ = 42.4 mm\) (standard deviation of the length of six-year-old rainbow trout)\(x = 300 mm\) (the length less than which the proportion of six-year-old rainbow trout is to be determined)\(z = (300 - 331.6) / 42.4 = -0.7488\)Using the standard normal distribution table, the proportion of six-year-old rainbow trout less than 300 mm long is found to be 0.2266.
Approximately 0.5251 or 52.51% of six-year-old rainbow trout are between 300 and 360 mm long.(c) A six-year-old rainbow trout length of less than 267.44 mm would be considered unusual since the z-score corresponding to this length is -2.5, which lies beyond 2 standard deviations from the mean.
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Can someone help me with this??
Answer:
A
Step-by-step explanation:
When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A
Does anyone else play nitro type?
Answer:
I do!
Step-by-step explanation:
Answer:
no sorry but i do know some friends that play..
One mechanic services 4 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 4 working days, and broakdowns tend to Poisson distribution. The mechanic can handie an average of one repair job per day. Repairs follow a negative exponential distribution: a) On the average, how many machines are waiting for service? The average number of machines waiting for service is (Round your response to three decimal places.)
Therefore, the average number of machines waiting for service is 0.083 (rounded to three decimal places).
To calculate the average number of machines waiting for service, we can use the concept of the M/M/1 queue, where arrivals follow a Poisson distribution and service times follow a negative exponential distribution.
In this case, the arrival rate (λ) is 1 breakdown every 4 working days, and the service rate (μ) is 1 repair job per day.
The utilization factor (ρ), which represents the system's utilization, can be calculated as ρ = λ/μ = (1/4)/(1) = 1/4.
The average number of machines waiting for service (Lq) can be calculated using the formula Lq = ρ² / (1 - ρ).
Plugging in the values, we have Lq = (1/4)²/ (1 - 1/4) = 1/12.
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A car rental agency charges 150 per week +0.45 per mile to rent car express the weekly cost to rent a car if as a function of the number of miles driven during week X
Answer:
The required function is:
\(C(x) = 150+0.45x\)
Step-by-step explanation:
We have to represent the given scenario as an equation or function
Let x be the number of miles driven in a week
Let C(x) be the function of the number of miles driven
As it is given that charges are 150 per week, these charges are constant so they will be used as it is.
It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:
0.45x
Combining both terms, we get
\(C(x) = 150+0.45x\)
Hence,
The required function is:
\(C(x) = 150+0.45x\)
The list below show test scores for 1st period on a recent test. Finding the mean deviation. 62 63 64 71 96 97 98 99 100 100
Answer:
16
Step-by-step explanation:
just use a mean absolute deviation calculator next time
help a friend out?
Solve and graph the absolute value inequality: 12x +41 > 8.
Answer:
Answer is C
The inequality is x
<−6 or x>2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
| 2x + 4 | > 8
Case I Case II
2x + 4 > 8 -(2x +4) > 8
-4 -4 -2x - 4 > 8
2x > 4 +4 +4
x > 4/2 -2x > 12
x > 2 -x > 12/2
-x > 6
x < - 6 Multiply by -1 will change the inequality sign.
x > 2 and x< - 6
x > 2 open circle at 2 and shade to the right.
x < -6 open circle at -6 and shade to the left
What is the difference of 18 ‒ (‒8)?
Answer: 26
Step-by-step explanation:
Answer:
26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26
During a school fundraiser, Dominic sold boxes of greeting cards for $7 each and earned a total of $364. Which equation could be used to find the number of boxes n Dominic sold?
By using simple multiplication, Dominic sold 52 boxes of greeting cards during the fundraiser.
What is multiplication?
Multiplication is an arithmetic operation that combines two or more numbers to find their product or the total number of objects in equal-sized groups. In multiplication, the numbers being multiplied are called factors, and the result is called the product.
The equation that could be used to find the number of boxes n Dominic sold is:
7n = 364
Where n represents the number of boxes Dominic sold and 7 is the price of each box.
To solve for n, we can divide both sides of the equation by 7:
n = 52
Therefore, Dominic sold 52 boxes of greeting cards during the fundraiser.
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Answer: n x 7=364
Step-by-step explanation: 7n = 364
Good luck with the Go Math Comulative Assessment Chapters 7-10 Room 240 ;)
consider a pi controller and the following feedback process what are the roots of the characteristic equation
The characteristic equation of a closed-loop control system with a proportional-integral (PI) controller is given by:
s^2 + (k_i/k_p)s + (1/k_p) = 0
where k_p is the proportional gain and k_i is the integral gain of the PI controller. To find the roots of the characteristic equation, we can use the quadratic formula:
s = (-b ± sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation. Therefore, the roots of the characteristic equation depend on the values of k_p and k_i, which in turn depend on the specific feedback process being controlled.
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a tent has the shape pictured below, where the cross sections are triangles. (the height of each triangle is equal to the base for that triangle.) what is the interior volume of the tent? (all distances are in feet.)
The interior volume of the tent where the cross sections are triangles is given is 120ft³.
There are two cross sectional triangles
The one smaller triangle with the height and base of 2ft
The other bigger triangle has a base and height of 4 ft
And the total length of the Tent is given as 6 ft.
Therefore,
Area of smaller triangle = 2 x 2 = 4m²
Area of bigger triangle = 4 x 4 = 16 ft²
So the Volume of the tent is given by ,
Total length x (Area of smaller triangle + Area of bigger triangle)
= 6 x ( 4 + 16 )
=6 x ( 20 )
= 120 ft ³
A measurement of three-dimensional space is volume. Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The capacity of a container is typically regarded to be its volume.
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8. The larger of two numbers is 8 more than twice the smaller. The sum of the
numbers is 35. Find the numbers. *
a.) 7,28
b.) 9,26
c.) 13.5, 21.5
d.) 13.5, 35
Answer:
Step-by-step explanation:
Givens
smaller number = x
Larger number = 2x + 8
Sum = 35
Equation
x + 2x + 8 = 35
Solution
3x + 8 = 35
3x = 35 - 8
3x = 27
x = 9
The smaller number = 9
The larger number = 2*9 + 8 = 26
My answers aren't in the list. Are you sure the numbers in the list are correct?
The number of students in each class is shown on the line plot.
Find the median number of students.
Answer:
Your answer is 24.
Step-by-step explanation:
The data set is 22,23,23,23,24,24,25,26,26,26,28
The median of this set is 24
The mean is 24.54
The mode is 23,26
The range is 6
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
hope youlike this
stay at home stay safe
keep rocking
I’ve been stuck in this for almost 20 minutes
help :/
Answer:
pi/2 units to the left
Step-by-step explanation:
the formula is y = cos(x-b) so when b is negative, the formula will show a plus sign because minus negative is adding. this means the graph is shifted -pi/2 to the right which is really pi/2 to the left
The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:
Answer:
Minimum: 29
Lower Quartile: 35
Median: 43
Upper Quartile: 46
Maximum: 60
Interquartile Range: 11
Step-by-step explanation:
Find the midpoint of the line segment with endpoints P1(11/2,3/8) and P2 (-7/2,5/8)
To find:
The midpoint of the line segment with the endpoints P1(11/2,3/8) and P2 (-7/2,5/8).
Solution:
The midpoint formula is:
\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Put the values:
\(\begin{gathered} (\frac{\frac{11}{2}-\frac{7}{2}}{2},\frac{\frac{3}{8}+\frac{5}{8}}{2})=(\frac{\frac{4}{2}}{2},\frac{\frac{8}{8}}{2}) \\ =(\frac{2}{2},\frac{1}{2}) \\ =(1,\frac{1}{2}) \end{gathered}\)Thus, the midpoint is (1, 1/2).
Consider the conversion facts 1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch. PLEASE HELP
a. Write an expression for the exact number of inches in 1 centimeter.
b. Use a calculator to evaluate your expression in part (a). Explain why the measurement conversion may be slightly different when converting between metric units and U.S. custumary units.
The expression for the exact number of inches in 1 centimeter is 1/2.54. Using a calculator to evaluate the expression gives 0.39370074. There may be a slight difference when converting due approximation of figures
How to write an expression for the exact number of inches in 1 centimeter?Given the conversion facts:
1 inch = 2.54 centimeters and 1 centimeter = 0.39 inch
a. The expression for the exact number of inches in 1 centimeter will be:
1 centimeter = 1/2.54 (Since 1 inch = 2.54 centimeters)
b. Using a calculator to evaluate the expression in (a) will give:
1 centimeter = 1/2.54 = 0.39370074
The measurement conversion may be slightly different when converting between metric units and U.S. custumary units because of the approximation of figures when converting from one unit to the other
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at the shelter, 15% of the dogs are puppies there are 80 dogs at the shelter. How many dogs are puppies?
Answer:
12.00 because you can change 15% to 0.15 then multiply 80 and 0.15 together and it will give you 12.00
Find the distance between the integers on a number line. 9 and -9
Answer:
18 units
Step-by-step explanation:
First, -9 to 0 is 9 units. Next 0 to 9 is also 9 units. Added up, this gives a total of 18 units.
Hope this helps! :)
Answer:
18
Step-by-step explanation:
You can do this two ways:
From -9 to 0, the distance is 9 units.
From 0 to 9, the distance is 9 units.
Add the two distances together, and you get 18 units.
You can also do this with the distance formula for a number line.
The distance, d, between numbers a and b on the number line is:
d = |a - b|
Our numbers are -9 and 9. It does not matter which number you call a and which you call b. Since the expression has absolute value in it, the answer will always come out non-negative.
d = |-9 - 9| = |-18| = 18
If you do it the other way, you get:
d = |9 - (-9)| = |9 + 9| = |18| = 18
Prove everything you say and please have a readable handwritting. Prove that the set X c R2(with Euclidean distance is defined as: See Pictureconnected,but not path connected (X is connected,that is,it cannot be divided into two disjoint non-empty open sets.) X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1} Prove that the set X C R2(with Euclidean distance) is connected,but not path connected X
X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.
To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.
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Two sides of a regular pentagon are produced to meet. Calculate the size of the new angle formed.
so let's check how much is each interior angle in the pentagon first.
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)
Check the picture below.
5% of men and 025% of women are colorblind. What is probability a colorblind person is a man? (3 decimal)
The probability that a colorblind person is a man is approximately 0.952 (rounded to 3 decimal places).
We must utilize conditional probability to determine the likelihood that a colorblind individual is a man.
The occurrences will be noted as follows:
If a person is a man, then M.
W designates a person's gender.
C indicates that someone is colorblind.
We receive:
The probability that a colorblind person is a man is P(C | M) = 5% = 0.05.
The likelihood that a colorblind person is a woman is P(C | W) = 0.25 percent or 0.0025.
We're looking for:
P(M | C) = ? (chance that a man with colorblindness)
We can determine this probability using the Bayes theorem:
P(C | M) * P(M)) = P(M | C) / P(C)
To begin, we must determine P(C), or the likelihood that a person is colorblind:
P(C) is equal to P(C | M) * P(M) + P(C | W) * P(W).
Although we don't know the precise value of P(M) or P(W), the chance that a person is a man or a woman, we may assume that there are roughly equal numbers of males and women in the population. As a result, we can infer that P(M) = P(W) = 0.5 (each 50%).
P(C) = (0.05 * 0.5) + (0.0025 * 0.5) = 0.025 + 0.00125 = 0.02625 when the values are plugged in.
We can now enter the values as substitutions into Bayes' theorem to determine P(M | C):
P(M | C) = (0.05 * 0.5) / 0.02625 = 0.025 / 0.02625 = 0.952
Therefore, it is roughly 0.952 (rounded to three decimal places) likely that a colorblind person is a man.
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1.5 gallons to pints
Answer:
1.5 gallons is equal to 12 pints
Step-by-step explanation:
A store sells 3 different sizes of the same juice. The 8 ounce bottle costs $2.96, the 16 ounce bottle costs $5.44, and the 24 ounce bottle costs $9.36. Which size bottle is the better buy?
Answer:
24 ounce bottle.
Step-by-step explanation:
8 Ounce bottle=2.7 for each ounce
16 ounce bottle=2.9 for each ounce
24 ounce bottle=2.6 for each ounce
Solve 0 = x2 + 6x + 13 by completing the square.
A. x = 5 and x = 1
B. x = 3 + i22−−√ and x = 3 − i22−−√
C. x = −1 and x = 1
D. x = −3 + 2i and x = −3 − 2i
Answer:
x = -3 - 2i and x = -3 + 2i
Step-by-step explanation:
I was too lazy to complete the square but solved it on WolframAlpha
k^2 - 196 = 0
.....................................................
Answer:
Step-by-step explanation:
Add 196 to both sides, then take the square root
\(k^2=196\\\)
k = ±14
let g(x) = bax, where a and b are positive constants and x is a poisson random variable. find e[g(x)].
Let g(x) = bax, where a and b are positive constants and x is a poisson random variable, the expected value of g(x) is b * a * λ
We can use the law of total probability and the fact that the Poisson distribution has a probability mass function of f(x) = e^(-λ) * λ^x / x!, where λ is the mean parameter, to find the expected value of g(x):
E[g(x)] = E[bax] = b * a * E[x]
Now, the expected value of x for a Poisson distribution with mean parameter λ is λ, so we have:
E[g(x)] = b * a * E[x] = b * a * λ
Therefore, the expected value of g(x) is b * a * λ, where λ is the mean parameter of the Poisson distribution.
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Quadrilateral ABCD will be dilated about the origin by a scale factor of and then reflected across they-axis.А987654DB321-6-5-2-8-4-1702B5-1-2-30C-4-5-6-7Identify the coordinates of the points after the transformation:Byes
SOLUTION:
Step 1:
In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:
From the graph, we can see that:
\(\begin{gathered} A(\text{ -3, 9 )} \\ B(\text{ -6, 3 )} \\ C(0,\text{ -3)} \\ D(3,\text{ 3)} \end{gathered}\)Step 2:
We need to dilate about the origin by a scale factor of 1/3, then
we have that:
\(\begin{gathered} A\text{ ( - 1 , 3 )} \\ B\text{ ( - 2, 1)} \\ C\text{ ( 0, -1)} \\ D(\text{ 1, 1 )} \end{gathered}\)Step 3 :
We need to reflect across the y-axis:
( x , y ) ------- ( -x, y )
\(\begin{gathered} A(-1,3)------A^{I\text{ }}(\text{ 1, 3 )} \\ B(-2,1)------B^I\text{ ( 2, 1)} \\ C(0,-1)------C^I\text{ ( 0, -1)} \\ D(1,1)-------D^I\text{ ( -1 , 1 )} \end{gathered}\)From the graph,
a) The original polygon is in colour Red
b) The dilated image of the original polygon is in colour Blue
c) The reflection of the dilated image is in colour Green.