Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She then makes a scatterplot of time studying and test grades.
What is the domain?
A) the students' grades on their tests
B) the number of students in the class
C) the different courses the teacher teaches
D) the number of minutes the students studied
In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).
The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).
The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.
The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.
To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).
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someone help me asap
Answer: b > 13
Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.
Answer:
b > 13
Step-by-step explanation:
Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.
Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work?
Answer:
99 TVs
Step-by-step explanation:
5 and a half hours is about 330 minutes.
9:30 = x:330
If 30 * 11 = 330, then 9 * 11 will equal x.
Judy should inspect 99 TVs.
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation:
Question 5 (5 points)
What is the volume of the right prism?
35 in.
37 in.
12 in.
40 in.
The volume of the right prism include the following: 8,640 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height or depth of a rectangular prism.Next, we would determine the area of the triangle at the base of the right prism as follows:
Base area = 1/2 × ( 36 × 12)
Base area = 1/2 × 432
Base area = 216 in².
Now, we can calculate the the volume of this right prism:
Volume = base area × height
Volume = 216 × 40
Volume = 8,640 in³.
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find k such that x(t)=13t is a solution of the differential equation dxdt=kx.
The result x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t
In this question, we are given a differential equation dx/dt = kx.
This equation is called a first-order homogeneous linear differential equation.
This means that the highest derivative that appears in the equation is the first derivative, and there are no nonlinear terms.
The coefficient k is a constant that represents the rate at which the quantity x(t) changes with respect to time t.
Given the differential equation
dx/dt = kx
And,
x(t) = 13t is a solution
We need to find k.
In order to find the value of k, we differentiate the given solution with respect to time t and equate it to the given differential equation.
dx/dt = d/dt (13t)
= 13
Substituting the value of x and dx/dt in the differential equation, we get:
13 = k (13t)
⇒ k = 1/t
Therefore, k = 1/t.
Substituting the value of k in the given differential equation, we get:
dx/dt = (1/t) x .............................(1)
Now, let’s verify whether x(t) = 13t is a solution of the differential equation (1).
LHS of (1) = d/dt (13t)
= 13
RHS of (1) = (1/t) (13t)
= 13
Therefore, x(t) = 13t is a solution of the differential equation dx/dt = kx where k = 1/t
To find a particular solution of the differential equation, we are given that x(t) = 13t is a solution.
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Estimate the conditional probabilities for Pr(A = 1|+) ..., Pr(B = 1|+) ..., Pr(C = 1|+)...
Question:
Estimate the conditional probabilities for
_____,
_____,
_____,
_____,
_____, and
_____;
Instance A B C Class
1 0 0 1 -
2 1 0 1 +
3 0 1 0 -
4 1 0 0 -
5 1 0 1 +
6 0 0 1 +
7 1 1 0 -
8 0 0 0 -
9 0 1 0 +
10 1 1 1 +
To estimate the conditional probabilities for Pr(A = 1|+), Pr(B = 1|+), and Pr(C = 1|+), we need to calculate the probabilities of each event occurring given that the class is positive (+).
Let's analyze the given data and calculate the conditional probabilities:
Out of the 8 instances provided, there are 4 instances where the class is positive (+). Let's denote these instances as +1, +2, +5, and +6.
For Pr(A = 1|+), we calculate the proportion of instances among the positive class where A = 1. Out of the four positive instances, +2 and +5 have A = 1. Therefore, Pr(A = 1|+) = 2/4 = 0.5.
For Pr(B = 1|+), we calculate the proportion of instances among the positive class where B = 1. Out of the four positive instances, +5 has B = 1. Therefore, Pr(B = 1|+) = 1/4 = 0.25.
For Pr(C = 1|+), we calculate the proportion of instances among the positive class where C = 1. Out of the four positive instances, +5 and +6 have C = 1. Therefore, Pr(C = 1|+) = 2/4 = 0.5.
To summarize:
- Pr(A = 1|+) = 0.5
- Pr(B = 1|+) = 0.25
- Pr(C = 1|+) = 0.5
It's important to note that these probabilities are estimated based on the given data. Depending on the context and the underlying distribution of the data, these probabilities might not be accurate representations in other scenarios.
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Simplify your perimeter expression as much as possible.
C.
x2
JR
Оа
b
4y + 4x + 4
2x + 4y + 2
2
C с
Answer:
1019191991
Step-by-step explanation:
08899988777777777
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
Help pls I’m stuck ;-;
Answer:
Seven is the answer to your question
When angela and walker first started working for the supermarket, their weekly salaries totaled $550. now during the last 25 years walker has seen his weekly salary triple angela has seen her weekly salary become four times larger. together their weekly salaries now total $2000. write an algebraic equation for the problem. how much did they each make 25 years ago?
Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.
Let's assign variables to represent Angela and Walker's salaries 25 years ago. Let A be Angela's salary 25 years ago and W be Walker's salary 25 years ago.
Using the information given in the problem, we can set up two equations:
A + W = 550 (their total salary 25 years ago)
4A + 3W = 2000 (their total current salary)
To solve for A and W, we can use substitution or elimination. Let's use substitution.
From the first equation, we can rearrange to solve for A:
A = 550 - W
Substitute this into the second equation:
4(550 - W) + 3W = 2000
Distribute the 4:
2200 - 4W + 3W = 2000
Simplify:
W = 800
Now that we know Walker's salary 25 years ago was $800, we can plug that into the first equation to solve for Angela's salary:
A + 800 = 550
A = -250
Uh oh, a negative salary doesn't make sense in this context. We made a mistake somewhere.
Let's go back to our original equations and try elimination instead:
A + W = 550
4A + 3W = 2000
Multiplying the first equation by 4, we get:
4A + 4W = 2200
Subtracting the second equation from this, we get:
W = 200
Now we can plug this into either equation to solve for A:
A + 200 = 550
A = 350
So Angela made $350 per week 25 years ago and Walker made $200 per week 25 years ago.
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For the in parts A through E, choose the highest level of measurement (or cannot be determine).
A. Temperature of refrigerators ---
Nominal
Ratio
Cannot determine
Interval
Ordinal
B. Horsepower of race car engines ---
Ordinal
Interval
Nominal
Cannot determine
Ratio
C. Marital status of school board members ---
Interval
Nominal
Ordinal
Cannot determine
Ratio
D. Ratings of televisions programs (poor, fair, good, excellent) ---
Ordinal
nominal
Interval
Cannot determine
Ratio
E. Ages of children enrolled in a daycare
Ordinal
nominal
Interval
Cannot determine
Ratio
Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval
The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.
The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.
The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.
The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.
The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.
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Ben wishes to convert $500 us dollars to the japanese yen. one american dollar is worth 123.3 yen. how many yen should he have after the conversion?
After the conversion of $500 in japanese yen Ben will have 61,650 yen.
According to the question.
The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.
Also, it is given that
$1 = 123.3yen
Therefore,
The number of yen Ben have after the conversion of dollars in yen
= 500 × 123.3
= 61,650
Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.
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(Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees.)
If a ∥ b and e ∥ f, what is the value of y?
Answer:
its 92 :)
Step-by-step explanation:
The value of y is (x + 1) degrees.
We have,
If lines a and b are parallel (a ∥ b) and lines e and f are parallel (e ∥ f), we can use the properties of parallel lines and transversals to determine the value of y.
When two parallel lines are intersected by a transversal, the corresponding angles are congruent.
Therefore, the angle at the intersection of lines a and e (uppercase right angle) and the angle at the intersection of lines b and e (bottom left angle) are corresponding angles and have the same measure.
Given that the angle at the intersection of lines a and e is (x + 1) degrees, we can conclude that the bottom left angle at the intersection of lines b and e is also (x + 1) degrees.
From the figure,
We can see that,
(x + 1)° and y° are alternate interior angles.
This means,
y° = (x + 1)°
Therefore,
The value of y is (x + 1) degrees.
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So, here are my instructions for these problems: Write an equation of the absolute value graph that has the following properties based on the graph of y=|x| I would like to focus on part C. Reflected over the x-axis , horizontal shrink of 1/2 translated 7 down. I had two answers for this but I’m not sure which one is correct.
When we horizontally shrink a function by a factor k, we multiply the variable x, in the expression of the function, by k:
y = f(x) -> y' = f(kx)
When the factor k is greater than 1, that will represent in fact a horizontal shrink of the graph. But, since the factor we need to apply is less than 1, the result of horizontally shrinking the graph will effectively be a horizontal stretch.
First, let's reflect the function y = |x| over the x-axis. This changes the sing of y:
\(y=-|x|\)Now, we need to multiply the variable x by 1/2 to horizontally shrink the graph by 1/2:
\(y=-|\frac{1}{2}x|\)Now, we need to translate the graph 7 units down. So, we need to subtract 7 from the final expression for y:
\(y=-|\frac{1}{2}x|-7\)Notice the result of those transformations:
Notice that, strictly, a horizontal shrink of 1/2 is actually a horizontally stretch of 2.
Now, if what the exercise really means is that the graph is in fact horizontally shrunk, then you need to divide the variable x by 1/2. This results in the function
\(\begin{gathered} y=-|\frac{x}{\frac{1}{2}}|-7 \\ \\ y=-|2x|-7 \end{gathered}\)find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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Tom Worker pays $1,200.00 annually for $90,000.00 worth of life insurance.
Tim uses the formula B x In to compute how much $1,200.00 will become at 6% compounded annually.
Complete the following sentences. (Include decimal places for cents in each answer, even when cents
are not calculated. Use a thousands comma where applicable.)
1. Amount paid in premiums after 10 years: $
2. Cash value at the end of 10 years: $
3. The ratio of cash value to premiums as a percent to the nearest hundredth:
4. He multiples $1,200.00 x 1.79 to find $
%
The amount paid in premium payment is $12000, the cash value at the end of 10 years is $1,708.9
What is the amount paid in premiums after 10 years?1. Amount paid in premiums after 10 years: $12,000.00 (since the premium payment is annual, after 10 years Tom would have paid 10 x $1,200 = $12,000 in total premiums)
2. Cash value at the end of 10 years: $17,094.35 (using the formula B x In, where B is the base amount of $1,200 and In is the future value interest factor for 10 years at 6% compounded annually, which is 1.4241. So, the cash value at the end of 10 years would be $1,200 x 1.4241 = $1,708.9 However, this amount would be further increased by the dividends earned on the policy, which we do not have information on. Hence, we cannot provide an exact cash value amount and can only provide an estimate based on the interest earned.)
3. The ratio of cash value to premiums as a percent to the nearest hundredth: 142.45% (To calculate the ratio of cash value to premiums, we divide the cash value at the end of 10 years by the total premiums paid over the same period and then multiply by 100. So, (Cash value / Premiums paid) x 100 = ($17,094.35 / $12,000) x 100 = 142.45%)
4. He multiples $1,200.00 x 1.79 to find $2,148.00 (since 1.79 is the future value interest factor for 1 year at 6% compounded annually, multiplying it by the premium amount of $1,200 gives the expected value of the premiums paid plus interest earned after 1 year)
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the sum of three consecutive multiples of 2 is 18 .
Answer:
consecutive multiple of 2 is 2,4,6
this sum is 2+4+6 is 12
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
v= π r2 h
Step-by-step explanation: the answer for ur question :)
given lmn and pqr are isosceles. What m
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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The graph represents function 1, and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 7x + 1
How much more is the rate of change of function 2 than the rate of change of function 1? (1 point)
a
5
b
6
c
7
d
8
Answer:
3
Step-by-step explanation: If 2x+1= y then Y=2+1+x
HEEEEEELP MEEEEEEEEEE PLZZZZZZZZZZZZZZZ WITH NUMBER 4
Answer:
4 2/3 cups of water
Step-by-step explanation:
The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.
4.
If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.
3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.
(3 1/2) / (3 1/4) = 5/x
(7/2) / (13/4) = 5/x
7/2 * x = 13/4 * 5
2/7 * 7/2 * x = 2/7 * 13/4 * 5
x = 130/28
x = 65/14
x = 4 9/14
4 9/14 as a decimal is 4.64 which is close to 4.6666...
Answer: 4 2/3 cups of water
A square tile has a width of 1 foot. How many tiles will fit end-to-end along a
4-foot wall?
Answer:
4
Step-by-step explanation:
Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.
a
ˉ
1
=(
2
a
)
x
^
+(
2
a
)
y
^
a
ˉ
2
=a
y
^
a
ˉ
3
=(
2
a
)
z
^
where
x
^
,
y
^
and
z
^
are unit vectors in the x,y, and z directions of a Cartesian coordinate system. (a) Identify the Bravais lattice. [Drawing a picture may help.] (b) Evaluate the volume of the primitive cell. (c) Decide whether there is a conventional unit cell for this lattice. If yes, find the volume of the conventional unit cell. (d) The vectors a
1
and a
2
define a plane (two non-colinear vectors define a plane) and it also defines a set (infinitely many of them) of crystal planes that are parallel. Find the separation between adjacent planes. [Using the picture in (a) may help.] (e) We know that the choice of primitive vectors for a lattice is NOT unique. Write down another possible choice of the primitive lattice vectors and evaluate the volume of the primitive cell again using your set of primitive vectors.
(a) The given vectors form a lattice known as a primitive cubic lattice. In a Cartesian coordinate system, a primitive cubic lattice consists of points arranged at the corners of a cube.
b) The volume of the primitive cell is V_primitive = 0.
c) Since the volume of the primitive cell is zero, there is no conventional unit cell for this lattice.
d) The separation between adjacent planes is d = 2π / (4a²) = π / (2a²).
e) The volume of the primitive cell with the new set of primitive vectors is V_primitive' = 0, which remains the same as the previous case.
a) The lattice vectors can be represented as a₁ = (2a, 0, 0), a₂ = (0, 2a, 0), and a₃ = (0, 0, 2a), where 'a' is the lattice parameter.
(b) To evaluate the volume of the primitive cell, we can find the scalar triple product of the lattice vectors:
V_primitive = |a₁ · (a₂ x a₃)|
The cross product of a₂ and a₃ is:
a₂ x a₃ = (2a, 0, 0) x (0, 0, 2a) = (0, 4a², 0)
Taking the dot product with a₁:
a₁ · (a₂ x a₃) = (2a, 0, 0) · (0, 4a², 0) = 0
(c) The lattice cannot be represented by a repeating unit cell with non-zero volume.
(d) The vectors a₁ and a₂ define a plane in the lattice. To find the separation between adjacent planes, we can use the formula:
d = 2π / |a₁ x a₂|,
where |a₁ x a₂| represents the magnitude of the cross product of a₁ and a₂. Since a₁ and a₂ are in the x and y directions, respectively, their cross product is in the z direction.
a₁ x a₂ = (2a, 0, 0) x (0, 2a, 0) = (0, 0, 4a²)
The magnitude of a₁ x a₂ is |a₁ x a₂| = 4a².
(e) Another possible choice of primitive lattice vectors could be:
b₁ = (a, 0, 0)
b₂ = (0, a, 0)
b₃ = (0, 0, a)
To evaluate the volume of the primitive cell using these vectors, we can calculate the scalar triple product:
V_primitive' = |b₁ · (b₂ x b₃)|
The cross product of b₂ and b₃ is:
b₂ x b₃ = (0, a, 0) x (0, 0, a) = (0, 0, a²)
Taking the dot product with b₁:
b₁ · (b₂ x b₃) = (a, 0, 0) · (0, 0, a²) = 0
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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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this graph shows how the distance daniel runs depends on the number of track practices he attends
The Highest Common Factor (HCF) of 48 and 72 is
Answer:
24
Step-by-step explanation:
because 24 is the highest between those two
Answer:
24
Step-by-step explanation:
GCF of 48 and 72 Examples
Therefore, the greatest common factor of 48 and 72 is 24.
1 2 3 4 5 6 7 8 9 10 The variety of organisms within an ecosystem is characteristic of which type of diversity? a. Genetic diversity b. Ecosystem diversity c. Species diversity d. Regional diversity Please select the best answer from the choices provided A B C D Mark this and return
Answer:
its C (Species diversity)
Step-by-step explanation:
please helpppppppppp me
Answer:
y = 15x
Step-by-step explanation: