the questions in this activity refer back to prelab 0, which would be a good place to look if you need any help. in test a, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. in test b, suppose you make 400 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error.
1) Which of the following statements is the most likely description of the comparison of the standard deviations found in Test A and Test B? o The standard deviations found in Test A and Test B will be about the same. o The standard deviation found in Test A will about be twice as big as the standard deviation found in Test B. o The standard deviation found in Test A will about be four times as big as the standard deviation found in Test B. o The standard deviation found in Test B will about be twice as big as the standard deviation found in Test A. o The standard deviation found in Test B will about be four times as big as the standard deviation found in Test A. Submit 2) Which of the following statements is the most likely description of the comparison of the standard errors found in Test A and Test B? o The standard errors found in Test A and Test B will be about the same. o The standard error found in Test A will about be twice as big as the standard error found in Test B. o The standard error found in Test A will about be four times as big as the standard error found in Test B. o The standard error found in Test B will about be twice as big as the standard error found in Test A. o The standard error found in Test B will about be four times as big as the standard error found in Test A. Submit 3) This question and the next one refer to a hypothetical experiment in which you slide red and green blocks down an identical ramp to see how far they go before stopping. After doing three trials of each case you find that the best estimate of the distance slid by red blocks is 15 + 3 feet and that the best estimate of the distance slid by green blocks is 25 + 4 feet. Find the t' parameter for the comparison of the distance slid by red and green blocks. o t' = 2.0 o t' = 2.5 o t' = 3.0 o t' = 3.5 o t' = 4.0 Submit 4) Suppose the experiments described in Question 3 are testing the claim that the distance slid by a block does not depend on the color of the block. Which of the following conclusions regarding this claim is most consistent with your data? o The claim is true. o The claim is false. o The claim might be true or it might be false.
The value of the standard deviation does not change and remains the same.
Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.
The mean μ = 82.4
The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]
we have to find the variance,
We now add a constant k to each data value and calculate the new mean μ'.
μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k
We now calculate the new mean standard deviation σ'.
σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]
Note that x + k - μ' = x + k - μ - k = x - μ
also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ
Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ
If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.
Hence, the standard deviation does not change.
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Find the value of x
7-10 plsss
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it is not a face card, you pay $2. There are 12 face cards in a deck of 52 cards. What is the expected value of playing the game
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what fraction is equal to 1/8+1/8
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
1/8+1/8=2/8 simplified its 1/4 but if you dont want it simplified its 2/8
opal makes $10 per hour working for a photographer. she also coaches a competitive soccer team for $10 per hour. opal needs to earn at least $90 per week, but she does not want to work more than 20 hours per week. A. define the variables and write a system of inequalities to represent this solution. B. give one possible solution to describe how opal can meet her goals. explain how this solution works for opal. C. is (2,2) a solution, explain.
Hi there,
I hope you and your family are staying safe and healthy during this anomalous time.
A) Define the variables and write a system of inequalities to represent this solution.
Let's get started here with the question:
Let x = the number of hours for the photographer. Then let's have y = the hours for coaching
Thus, the system of inequalities looks like this:
\(x + y \leq 20, 10x + 10y \geq 10\)
B) Give one of the possible solutions to describe how Opal can meet her goal. Explain how this solution works for Opa.
I believe she will meet her goal if she works for 6 hours at the photographer's, then does 10 hours coaching; 8 hours at the photographer's then 10 hours of coaching
C) Is (2,2) a solution. Explain.
No, it is NOT a solution. When we graph the inequalities above, the point for (2,2) doesn't fall in the shaded region. As a result, she wouldn't be able to make as much money.
Happy to help! I wish you all the best this semester.
~Garebear
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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Find m abc (3x-14) (2x+10)
Answer:
2 • (3x - 14) • (x + 5)
Step-by-step explanation:
2x + 10 = 2 • (x + 5)
please help
Use the diagram to answer the following question.
If m∠4=(3x+7)°, and m∠5 = (9x−43)°, find the following:
x =
m∠4 =
º
m∠5 =
º
Answer:
Step-by-step explanation:
3x + 7 + 9x - 43 = 180
12x = 216
x = 18
m∠4 = 3(18) + 7 = 61°
m∠5 = 9(18) − 43 = 119°
please show this step by step these answers
Answer:
false
Step-by-step explanation:
5-3=2
7(2)=14
14(8)=112
112 does not equal 100-12 which is 88
Which is the graph of the linear inequalityx-2y> -6?
Answer:
4th graph (in bottom right corner)
Step-by-step explanation:
First, convert the given equation into slope-intercept form.
Given :-
1/2x - 2y > -6
-2y > -1/2x - 6
2y < 1/2x + 6
y < 1/4x + 3
As the < sign indicates, the line will be dotted and the solution set will be towards the origin in this case.
The correct option is the 4th graph (in bottom right corner)
90×4/9=40 is this equation true
The equation is correct, and the value on both sides of the equation is 40.
To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.
On the left side of the equation:
90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40
On the right side of the equation:
40
Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.
In summary, the equation is correct, and the value on both sides of the equation is 40.
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Mar 10, 11:04:59 PM
What is the slope of the line that passes through the points (9, 2) and
(9, 27)? Write your answer in simplest form.
Answer: There is no slope.
Step-by-step explanation:
First, we use the slope-intercept form to find out the slope. The slope-intercept form formula is : m = y2 - y1 / x2 - x1.
m = (27 - 2) / (9 - 9)
m = 25 / 0
m = undefined
This isn't a positive, nor negative slope, rather a slope called "undefined". (Think of every slope as a hill for your skateboard, if it's easier to remember.) And since the x is 0, x is stagnant, making the y and number that doesn't move from the x-coordinates. So, The entered points belong to a vertical line. There is no slope.
Hope this helps.
100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
What do you call two lines in 3-space that never meet, but are not parallel.
An example:
Look where two walls meet. They meet at a vertical line. Let's call that line A.
Now look at where the ceiling and another wall meet (this wall is not the same as the previous two walls mentioned). The ceiling and this new wall meet at line B
Lines A and B are skew lines since they'll never cross even if you extend them out forever. They aren't parallel lines either because they don't point in the same 3D direction.
Check out the diagram below.
2
Which fractions are equivalent to ? Choose ALL the correct answers.
4
4
6
4
6
8
6
12
57
Answer:
Step-by-step explanation:
4/4
8/6
4/6
Applications
Solve.
A(x) =
9. Triangles: The area of a triangle is į the product of its base and its height. If
the area of the triangle shown is given by the function A(x)=x2 + 24x, find
representations for the lengths of its base and its height (where the base is longer
than the height).
2
Answer:1.The length of a rectangle exceeds its width by 9 feet. if the length were halved and the width increased by 4 feet, the area of the new rectangle would degree by 7 square feet. Find the dimension of the original rectangle
2. The base of the triangle is 3 meters more than its height. if the area of the triangle is 189 square meters. find the base and height of the triangle.
3. Let m be a constant. suppose the function f(x)=18-MX-2x^2 has a maximum value of 225/8. Find all possible values of m.
4. Let m be constant. suppose the function f(x)= x^2+mx+52 has a minimum value of 36. Find all possible values of m.
Step-by-step explanation:
1500 students in class and 1200 are present what is percentage of absent?
Answer:
300% percent of the people are absent...
Step-by-step explanation:
What is (123
) ÷ (18
)?
Answer:
6.8333333333 or 41/6
Step-by-step explanation:
Find the polar equation of the conic with focus at the pole, directrix y=3 and eccentricity of 2.
To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.
The general form of the polar equation for a conic with focus at the pole is given by:
r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)
Where:
- r is the distance from the origin (pole) to a point on the conic.
- e is the eccentricity.
- d is the distance from the pole to the directrix.
- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.
- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.
In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.
Substituting these values into the general equation, we get:
r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)
Simplifying further:
r =\(\frac{6}{1+2\cos(\theta)}\)
Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:
r =\(\frac{6}{1+2\cos(\theta)}.\)
This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.
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Tristan wants to build a square garden in his backyard. If the garden is going to be 64 square feet, how many feet of material will he need for the perimeter of the garden?
Answer:
Tristan will need 8 to go around the perimeter
Step-by-step explanation:
because 8×8 is 64 so he will have enough
Matthew has 8.2 meters of wire. He uses 3.65 meters for craft project. He wants to use the wire he left to complete one of the following projects. For which of the projects does he have enough wire? Choose all the correct answers.
He can make another project and still have 0.90 m of wire left.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Matthew has 8.2 meters of wire.
He uses 3.65 meters for the craft project.
Now, He wants to use the wire he left to complete one of the following projects.
The left wire is 8.2-3.65 = 4.55 m
So he can make another project and still have 0.90 m of wire left.
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It takes 5men 8 day to dig a septic hole .how long will it take 2 men to build the same hole,working at the same rate?
Answer:
Step-by-step explanation:
how many equal line segments are needed to make a line of 30 treianges
PLEASE HELP WITH 3!!!!!!!!!!!
Answer:
x is greater than or equal to 4 feet (x >4) with the line underneath the greaterthan sign>
Step-by-step explanation:
Answer:
x>4
Step-by-step explanation:
I just did the adaptor eats the bigger number
Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60
Answer:
Step-by-step explanation:
Your answer
Meal is 22$
10% tax, tax with price = 24.2$
She gave on tip = 4.84$
Total price = 29.04$
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Which of the following rational functions is graphed below?
The rational function that represents the graph attached is; f(x) = 1/(x + 5)²
How to interpret the graph of the rational function?There is a vertical asymptote -5. Vertical asymptotes are present where x on the denominator is equal to 0. The value of -5 sets x equal to 0 in the denominator, so it is a horizontal asymptote.
For the given graph it can be observed that the function is undefined for the value of x as -5.
This means that the function can be expressed as;
f(x) = 1/(x + 5)²
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PLEASE ANSWER BOTH QUESTIONS!
The correct statement regarding the transformation is given as follows:
Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.
The true statements about the dilation are given as follows:
Dilating a line segment can change the length.Dilating a polygon can change the area.What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:
k = 0.5.
The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.
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5/2 improper fraction as a mixed number
Answer:
5/2 as a mixed number is 2 1/2.
Step-by-step explanation:
To convert an improper fraction to a mixed number, you need to divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part of the mixed number.
To convert 5/2 to a mixed number:
Divide 5 by 2: 5 ÷ 2 = 2 with a remainder of 1
Write the whole number part and the remainder as the fractional part: 2 1/2
Therefore, 5/2 as a mixed number is 2 1/2.
2 1/2 is the mixed number equivalent of 5/2.
To convert the improper fraction 5/2 into a mixed number, you divide the numerator (5) by the denominator (2) and express the result as a whole number plus a proper fraction.
Dividing 5 by 2 gives us a quotient of 2 with a remainder of 1.
So, the mixed number equivalent of 5/2 is 2 1/2.
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13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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