a)The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.
Statistical inference is the process of drawing conclusions about populations or scientific truths from data. There are many ways to make inferences, including statistical modeling, data-driven strategies, and the explicit use of designs and randomization in analyses.
Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or population probability distribution.
First, a preliminary assumption is made about the parameter or distribution. This assumption is called the null hypothesis and is denoted H0.
An alternative hypothesis (denoted Ha) is then defined, which is the opposite of what is stated in the null hypothesis. The hypothesis testing procedure involves using sample data to determine whether or not H0 can be rejected. If H0 is rejected, the statistical conclusion is that the alternative hypothesis Ha is true.
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HELP pls will mark you the brainliest
Answer:
The first graph is (-8,1). The second graph has no solution. The third graph is (1,3). The last graph has infinite solutions. Taking the graphs from left to right.
Step-by-step explanation:
The solution of a graph is determined at where the two lines of the graph intersect. When there is no intersection, but there are two graphs, then there is no solution but when there is only one line in the graph, the graph has infinite solutions.
Answer:
Answer in image
Step-by-step explanation:
Graph 1: Graph 1 is matched with (-8,1) because it intersects the other line only once, and they intersect at (-8,1).
Graph 2: Graph 2 has no solution because the lines never intersect. They're Parallel, and parallel lines never intersect. (We can't conclude they are parallel, but since they do not intersect in the picture, they have no solution.)
Graph 3: Graph 3 is matched with 1 sol. (1,3) because the lines intersect once, and they intersect at (1,3).
Graph 4: Graph 4 is matched with infinitely many solutions because the two lines are the same line. They are on top of each other meaning that at any point on the graph they will always be intersecting.
-Hope this helped
The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
2 0, 1, 3, 5, 7
3 2, 5, 7, 9
4
5 1
6 5
Key: 2|7 means 27
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 16.
The range is the best measure of variability, and it equals 45.
The IQR is the best measure of variability, and it equals 45.
The range is the best measure of variability, and it equals 16.
The appropriate measure of variability for the given data is the IQR, and its value is 16.
Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.
The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).
The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.
The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.
In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.
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Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
Maria listed some values that were not multiples.
Maria listed factors of each number instead of multiples.
Maria should have multiplied 6 and 15 to find the least common multiple.
Maria selected a multiple that is not the least of the common multiples.
Answer:
I think its "Maria selected a multiple that is not the least of the common multiples"
Step-by-step explanation:
I think the real answer would be 30 because it the lowest number that they both share....
Answer: the answer is d, she selected a multiple that is not a least common multiple. The least common multiple is the number both sets of numbers share, which would be 30.
Can anyone help me with this math equation?
Answer:
2/9
Step-by-step explanation:
1/3=3/9
5/9-3/9=2/9
Answer:
2/9
Step-by-step explanation:
1/3= 3/9
5/9 - 3/9 = 2/9
hope this helps
what is the diameter of a cylinder whose volume is 211.75 cm2and height is22 cm
Step-by-step explanation:
please mark me as brainlest
Consider the following two lines: one with parametric equations x(s)=4−2s,y(s)=−2+s,z(s)=1+3s, and the other being the line through (−4,2,17) in the direction v=⟨−2,1,5⟩.a) Find a direction vector for the first line, which is given in parametric form.b) Find parametric equations for the second line, written in terms of the parameter t.c) Show that the two lines intersect at a single point by finding the values of sand tthat result in the same point.d) Find the angle formed where the two lines intersect, noting that this angle will be given by the angle between their respective direction vectors.e) Find an equation for the plane that contains both of the lines described in this problem
A-The first line has a direction vector of ⟨-2, 1, 3⟩, b-the second line has parametric equations x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t, c-the two lines intersect at the point (1, 3, 10), d-the angle formed is 15.2 degrees, and e- the equation containing both lines is -2x + 7y - 5z = -59.
What is direction vector ?
A direction vector, also known as a directional vector or simply a direction, represents the direction of a line, vector, or a linear path in three-dimensional space. It is a vector that points in the same direction as the line or path it represents.
a) The direction vector for the first line is given by ⟨-2, 1, 3⟩.
b) The parametric equations for the second line, written in terms of the parameter t, are x(t) = -4 - 2t, y(t) = 2 + t, z(t) = 17 + 5t.
c) To find the intersection point, we set the x, y, and z coordinates of both lines equal to each other and solve for s and t:
4 - 2s = -4 - 2t
-2 + s = 2 + t
1 + 3s = 17 + 5t
Solving this system of equations yields s = 3 and t = 1. Therefore, the two lines intersect at the point (1, 3, 10).
d) The angle formed at the intersection point is given by the angle between their respective direction vectors. Using the dot product, the angle θ can be found as cos(θ) = (⟨-2, 1, 3⟩ · ⟨-2, 1, 5⟩) / (|⟨-2, 1, 3⟩| |⟨-2, 1, 5⟩|), which simplifies to cos(θ) = 0.96. Taking the inverse cosine, we find θ ≈ 15.2 degrees.
e) To find the equation of the plane containing both lines, we can use the point-normal form of a plane equation. We choose one of the intersection points (1, 3, 10) and use the cross product of the direction vectors of the two lines as the normal vector. The equation of the plane is given by -2x + 7y - 5z = -59.
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A cutting process has an upper specification of 1.788 feet and a lower specification of 1.752 feet. A sample of parts had a mean of 1.77 feet with a standard deviation of 0.034 feet.
What standard deviation will be needed to arcive a proses capability index of 2.0
The standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.
To calculate the required standard deviation to achieve a process capability index of 2.0, we need to use the following formula:
Process Capability Index (Cpk) = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)
In this case, the upper specification limit is 1.788 feet, the lower specification limit is 1.752 feet, and the process capability index (Cpk) is 2.0.
Let's plug in the values into the formula and solve for the standard deviation:
2.0 = (1.788 - 1.752) / (6 * Standard Deviation)
Rearranging the equation:
Standard Deviation = (1.788 - 1.752) / (6 * 2.0)
Standard Deviation = 0.036 / 12
Standard Deviation = 0.003
Therefore, the standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.
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The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
(1 - 3k) - 4(2 + 2.5k)
HELP!! Quick answer pls
The answer is -13k - 7
Answer:
1 - 3k - 8 + 10k
1 - 3k + 10k - 8
1 - 13k - 8
1 - 8 - 13k
-7 - 13k or -7 + (-13k)
Given circle O , m∠EDF=31° . Find x .
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
its B
Step-by-step explanation:
pls do not listen to the other person
you have to add the tax so multiplying the two together instead of just adding them would get the same number
(also x+0.05x is literally 1.05x anyway)
hope this helps <3
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.
(b^4)2
Answer:
\((b^4)^2 = b^{8}\)
Step-by-step explanation:
Given
\((b^4)^2\)
Required
Simplify
In indices, we have:
\((a^m)^n = a^{m*n\)
So:
\((b^4)^2 = b^{4*2}\)
\((b^4)^2 = b^{8}\)
A 2.45-m wide rectangular channel with a discharge of 2.83 m3/sec. has a bed slope of
The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.
To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.
The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)
Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015
For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.
Depth 1 (y₁ = 1.52 m):
First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)
The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m
Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s
Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)
Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)
The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.
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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?
select the statement(s) that highlight the key difference(s) between bagging and random forest a) bagging considers all the features to decide the best split while random forest generally selects only a subset of features. b) bagging can have any number of estimators while random forest can not have any number of estimators. c) bagging can take logistic regression as its base estimator while random forest can only have a decision tree as its base estimator. d) bagging selects only a subset of features to decide the best split while random forest considers all the features to decide the best split.
An ensemble approach called bagging combines the predictions from all models after fitting each one to a distinct portion of a training dataset.
what is standard deviation ?When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread. Calculated using the standard deviation, the data's divergence from the mean value is determined. It is useful for contrasting data sets with possibly the same mean but a distinct range. For instance, the mean of the two following numbers is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But it's clear that the second is more diffused. The standard deviation shows how erratic the data is. It conveys the difference between each observed value and its mean.
given
An variation of bagging called random forest additionally randomly chooses the subsets of features that are applied to each data sample.
With the addition of splitting on a random subset of characteristics, random forest outperforms bagging by decorrelating the trees.
As a result, the model only takes into account a small subset of its properties at each branch in the tree rather than all of them.
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Which system of equations is represented by this graph?
ys
y=
R
x+3
X-3
The system of equations in the graph is:
y = 2x + 3
y = (-0.5)*x - 3
Which system of equations is represented by this graph?Here we have a system of equations where we need to find the slopes of the two lines.
The system can be written as:
y = _x + 3
y = _x - 3
To find the slopes we can just use the given graph.
For the one with y-intercept at 3, we will get that for an increase of 1 unit in x, there is an increase of 2 units in y, then we have:
y = 2x + 3
And for the second line we can see that for an increase in x of 2 unit, there is a decrease of 1 unit in y, then:
y = (-0.5)*x - 3
The system is:
y = 2x + 3
y = (-0.5)*x - 3
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How do you do this? I'll give brainliest, please help.
Answer:
Domain is all values of X or (-∞,∞)
Range is all the possible values of Y. Since it goes up to 3, and then it goes down, it's all values less than or equal to y, or (-∞,3] or y ≤ 3 (depending on how you need to enter the response.
Step-by-step explanation:
Is perpendicular to ? Explain. Yes, because the slope of is and the slope of is . Yes, because the slope of is and the slope of is . No, because the slope of is and the slope of is . No, because the slope of is and the slope of is
Answer:
c
Step-by-step explanation:
Answer:
yes because the slopes are the negative reciprocal of eachother
Step-by-step explanation:
IF YOU GET THIS ONE QUESTION RIGHT, I'LL GIVE BRAINLIEST
Solve this equation.
√(x-10)^2=x-10
Parallel Lines and Transversals 2 In this figure, AB || CD and mZ1 = 110°. 1 2 B 4 3 What is mZ5? 5 6 8 7 Enter your answer in the box.
Looking at the given diagram, line AB is parallel to line CD. Given that angle 1 = 110 degrees,
angle 5 = angle 1 = 110 degrees
The reason is because they are corresponding angles. The angles lie on the same side of the transversal and their positions correspond.
The two angles below are complementary angles. Find the value of a.
Answer: a = 43°
Step-by-step explanation: If two angles are complementary,
then the sum of their measures is 90 degrees.
So we can setup the equation 47 + a = 90.
Now subtract 47 from both sides to get a = 43°.
Sociologists have found that crime rates are influenced by temperature. In a town of 200,000 people, the crime rate has been approximated as C=(T-652+120, where C is the number of crimes per month and T is the average monthly temperature in degrees Fahrenheit. The average temperature for May was 72" and by the end of May the temperature was rising at the rate of 9° per month. How fast is the crime rate rising at the end of May? At the end of May, the crime rate is rising by crime(s) per month. (Simplify your answer.) C Ma A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 3 feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 5 feet from the wall? B me ts The top of the ladder is moving down at a rate of 16.8 feet/second when the foot of the ladder is 5 feet from the wall. (Round to the nearest thousandth as needed).
The top of the ladder is moving down at a rate of 0.6 feet/second or approximately 16.8 feet/second when the foot of the ladder is 5 feet from the wall.
The crime rate at the end of May is rising by approximately 1080 crimes per month. The top of the ladder is moving down at a rate of 16.8 feet/second when the foot of the ladder is 5 feet from the wall.
To find how fast the crime rate is rising at the end of May, we need to calculate the derivative of the crime rate function with respect to time. The derivative of C(T) = T - 652 + 120 is dC/dT = 1. This means that the crime rate is rising at a constant rate of 1 crime per degree Fahrenheit.
At the end of May, the temperature is 72°F, and the rate at which the temperature is rising is 9°F per month. Therefore, the crime rate is rising at a rate of 9 crimes per month.
For the ladder problem, we can use similar triangles to set up a proportion. Let h be the height of the ladder on the building, and x be the distance from the foot of the ladder to the wall.
We have the equation x/h = 5/h.
Differentiating both sides with respect to time gives (dx/dt)/h = (-5/h²) dh/dt.
Given that dx/dt = 3 feet/second and x = 5 feet, we can substitute these values into the equation to find dh/dt.
Solving for dh/dt, we get dh/dt = (-5/h²)(dx/dt) = (-5/25)(3) = -3/5 = -0.6 feet/second.
Therefore, the top of the ladder is moving down at a rate of 0.6 feet/second or approximately 16.8 feet/second when the foot of the ladder is 5 feet from the wall.
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Answer the question in photo [ Brainliest + easy points ]
Answer:
TU = 27
Step-by-step explanation:
ST + TU = SU
(8x - 11) + (14x - 15) = 19x - 17
8x - 11 + 14x - 15 = 19x - 17
22x - 26 = 19x - 17
22x - 19x = 26 - 17
3x = 9
x = 3
TU = 14x - 15 = 14(3) - 15 = 27
Mary used one big bag of flour. She baked four loaves of bread. Then, she used the remaining flour to make 32 muffins. How much flour was in the bag when Mary began?
The amount of flour in the bag is 4a + 32b
How to calculate the amount of flour in the bag when Mary began?Mary used one big bag of flour to make her bread and muffin
She baked four loaves of bread
After making the four loaves of bread, Mary used the remaining flour in the bag to make the muffins
The amount of flour in the bag before Mary began can be calculated as follows
The amount of flour used to make Four loaves of bread= 4a
The amount of flour used to make 32 muffins= 32b
Total amount of flour in the bag before Mary began is= 4a + 32b
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Find the angel between the two vectors (4,1) and (-8,3)
The angle between the two vectors (4,1) and (-8,3) will be 145.4°.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
It is possible to calculate the angle () between two vectors using the formula
\(\rm \theta = cos ^{-1} \frac{ (a.b)}{|a||b|}\)
Calculate dot product:
=a · b
= ax · bx + ay · by
= 4 · (-8) + 1 · 3
= - 32 + 3
= -29
=|a|
= √ax² + ay²
= √4² + 1²
= √16 + 1
= √17
=|b|
=√ bx² + by²
= √(-8)² + 3²
= √64 + 9
= √73
\(\rm \alpha = cos ^{-1} \frac{ (a.b)}{|a||b|}\)
α = 145.40771131249005°
Thus, the angle between the two vectors (4,1) and (-8,3) will be 145.4°.
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Hi there please help me
On question two I’m not understanding why they put the brackets in when there was no brackets in the equation they gave me to solve
Answer/Step-by-step explanation:
When you have one or more parentheses inside a parentheses you change it to bracket so it is easier to tell which parentheses belongs to which.
Instead of ((-2+5)x4), it would be [(-2+5)x4]
It does not affect the answer
The radius of a circle is 9 miles. What is the circle's circumference?
Answer: 56.548
Step-by-step explanation: Circumfrance = (radius x pi) x2
Answer:
The answer is 56.57miles
Step-by-step explanation:
does someone mind helping me with this problem? Thank you!
Answer:
5.20
Step-by-step explanation:
48 / 9.23 = 5.20043336945
rounded to tenth is 5.20
Hope This Helped
Answer:5.20
Step-by-step explanation:
48 / 9.23 = 5.20
If AC=14,BC=8, and AD=21, find ED.
The length of ED is approximately 36.75 units.
To find the length of ED, we can use the properties of similar triangles. Let's consider triangles ABC and ADE.
From the given information, we know that AC = 14, BC = 8, and AD = 21.
Since angle A is common to both triangles ABC and ADE, and angles BAC and EAD are congruent (corresponding angles), we can conclude that these two triangles are similar.
Now, let's set up a proportion to find the length of ED.
We have:
AB/AC = AD/AE
Substituting the given values, we get:
8/14 = 21/AE
Cross multiplying, we have:
8 * AE = 14 * 21
8AE = 294
Dividing both sides by 8:
AE = 294 / 8
Simplifying, we find:
AE ≈ 36.75
Therefore, the length of ED is approximately 36.75 units.
In triangle ADE, ED represents the corresponding side to BC in triangle ABC. Therefore, the length of ED is approximately 36.75 units.
It's important to note that this solution assumes that the triangles are similar. If there are any additional constraints or information not provided, it may affect the accuracy of the answer.
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What’s this I need help asap
Answer:
see attached photo for the graph
Heeeeeelllllpppp mmmmeeeeeeeeeeeee!
Answer:
2.5×10³
2.5×10×10×10
=2500
Answer:
2,500
Step-by-step explanation:
Move the decimal point 5 times to the right.