A raw score is the actual number of correct answers a person gets on a test, without any adjustment for factors such as difficulty or time. For example, if a student takes a test with 10 questions and answers 8 correctly, their raw score would be 8 out of 10.
A raw score is the actual number of correct answers a person gets on a test, without any adjustment for factors such as difficulty or time. This means that the raw score is not adjusted or changed in any way.
For example, if a student takes a test with 10 questions and answers 8 correctly, their raw score would be 8 out of 10. This means that the student answered 8 out of the 10 questions correctly, without any adjustment for difficulty or time.
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greatest common factor of 14C3 70C4 28C2
The greatest common factor of 364, 916895, 378 is 7
What is Greatest Common Factor (GCF)The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)
In this problem, we have the numbers given with combination
A)
¹⁴C₃ = 364
Factors = 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
B) ⁷⁰C₄ = 916895
Factors = 1, 5, 7, 17, 23, 35, 67, 85, 115, 119, 161, 335, 391, 469, 595, 805, 1139, 1541, 1955, 2345, 2737, 5695, 7705, 7973, 10787, 13685, 26197, 39865, 53935, 130985, 183379, 916895
C) ²⁸C₂ = 378
Factors = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The greatest common factors is 7
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I just need the cordinates :)
The graph of the piece-wise function defined in this problem is given by the image shown at the end of the answer.
How to graph the piece-wise function?The function in this problem is classified as a piece-wise function because it has two definitions, given as follows:
To the left of x = 2.To the right of x = 2.To the left of x = 2, the definition is given as follows:
f(x) = -2x - 1.
Which is a decreasing line, which crosses the y-axis at y = -1, and finishes at the point (2,-5).
To the right of x = 2, the definition is given as follows:
f(x) = -x + 4.
Which is a decreasing line also, starting at point (2,2), and crossing the x-axis at x = 4.
The graph combining these two lines is shown at the end of the answer.
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Find the Value of x and HE in the image below
Answer:
HE = 6
x = 2
Step-by-step explanation:
You found the right answer for what x was so the next step is to solve for HE using the expression they gave:
HE = 3x
HE = 3(2)
HE = 6
solve 2(x+3)=x-4
solve 4(5x-2)=2(9x+3)
Answer:
2(x+3)=x-4 x = -10
4(5x-2)=2(9x+3) x = 7
Step-by-step explanation:
2x+6=x-4
Subtract 6 from both sides
2x=x-10
Subtract "x" from both sides
x=-10
20x-8=18x+6
You want to isolate the variable by dividing each side by factors that don't contain the variable
x=7
Answer: X=-10 and X=7
Step-by-step explanation: 2(x+3)=x-4 Distribute 2x+6=x-4 Subtract both sides by 6 SImplify x=-10
4(5x-2)=2(9x+3) Distribute 20x-8=2(9x+3) Add both sides by 8 x=7
The first side of a triangle is twice as long as the second side. The third
side is 12 inches long. The perimeter of the triangle is 36 inches. What is
the measure of the first side of the triangle?
A. 8 inches
B. 10 inches
C. 12 inches
D. 16 inches
Answer:
The measure of the first side of the triangle is 10 inches. This can be determined by using the given information to set up and solve a system of equations. We are given that the first side is twice as long as the second side, and that the third side is 12 inches long. Let's call the length of the first side x and the length of the second side y. We can then set up the following system of equations:
x = 2y
12 = x + y
We can then solve this system of equations by substituting the first equation into the second equation, which gives us:
12 = 2y + y
We can then solve for y by subtracting 2y from both sides of the equation and dividing both sides by 2, which gives us:
y = 4
We can then substitute this value of y back into the first equation to solve for x, which gives us:
x = 2 * 4
x = 8
Therefore, the measure of the first side of the triangle is 10 inches. This can be verified by calculating the perimeter of the triangle, which should be equal to 36 inches. When we do this, we get:
x + y + 12 = 10 + 4 + 12 = 36
Which confirms that the measure of the first side of the triangle is 10 inches.
Step-by-step explanation:
Given that 7 x − 3 y = 23 Find x when y = − 2 Give your answer as an improper fraction in its simplest form.
When we add a whole number to another whole number we always get a whole number True or false?
True. When we add a whole number to another whole number, the result is always a whole number.
This is called the closure property of addition.
A whole number is a set of all positive integers from 0 to infinity. Also, these numbers in their simplest fractional form will have a denominator of 1. This means no numbers after decimal point.
Example 1 If we add 34 and 67
34 + 67
= 101
Hence 101 is a whole number.
Example 2- If we add 54 and 450
54 + 450
= 504
From the definition, we can say that 504 is a whole number.
This is the closure property.
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Which choice is an equation of the line written in point-slope form?
HINT: Use the answer to help you with the next two questions. You will be using the same graph.
A: y+1=12(x−1)
B: y−1=12(x+1)
C: y−1=2(x+1)
D: y+1=2(x−1)D:
Answer: The answer is C
Step-by-step explanation: If y plus 1 is 2 then y is one which is the difference between the second number of the dots on the graph
Answer:
[tex]y-1=\frac{1}{2} (x+1)[/tex]
Step-by-step explanation:
Point slope formula:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
Find the slope using
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\m = \frac{2-1}{1--1} \\m = \frac{1}{2}[/tex]
Plug the slope and points into the point slope formula
[tex]y+1=\frac{1}{2} (x-1)[/tex]
What is the probability that a person chosen at random from this group has brown or green eyes?.
For the given table of different eyed colour people , the probability that a person chosen at random from this group has brown or green eyes is 0.6036..
We have given a table lists eye colour for a random sample of people as seen above.
Total number of people or possible outcomes
= 222
Total number of people have blue eye colour
= 38
Total number of people have green eye colour
= 13
total number of people have Amber eye colour
= 22
Total number of people have Hazel eye colour
= 28
Total number of people have Brown eye colour
= 121
A person chosen at random from this group.
Probability that the selected person has brown eye Colour , P(B)
= total brown eyed persons /total persons
=> P(B) = 121/222
Probability that the selected person has gren eye Colour , P(G) = total green eyed person/total persons
=> P(G) = 13/222
Now, probability that a person chosen at random from this group has brown or green eyes ,
P(G or B ) = P(G) + P(B)
= 13/222 + 121/222
= 134/222 = 0.6036
Hence, the required probability is 0.6036..
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Complete question:
The above-mentioned table lists the eye colors of a random sample of people. If a person is chosen at random, What is the probability that a person chosen at random from this group has brown or green eyes?
Paul has 400 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Answer: i believe the dimension that maximizes the area is 100 yards by 100 yards, which is 10000 square yards
Step-by-step explanation:
Given: ABCD is a parallelogram and FBED is a parallelogram.
Prove: FAB is congruent to ECD.
Answer:
To prove that FAB is congruent to ECD, we need to show that they have the same size and shape. Since ABCD is a parallelogram and FBED is a parallelogram, we know that opposite sides of these figures are parallel and equal in length. This means that AB is parallel to ED and is equal in length to ED. Similarly, FB is parallel to DC and is equal in length to DC. Therefore, FAB is congruent to ECD because they have the same size and shape.
Another way to prove this is to use the fact that a diagonal of a parallelogram divides the parallelogram into two congruent triangles. In this case, the diagonal AC of the parallelogram ABCD divides it into two congruent triangles, namely triangles ABC and ACD. Similarly, the diagonal BE of the parallelogram FBED divides it into two congruent triangles, namely triangles BEF and BED. Since triangles ABC and BEF are congruent, and triangles ACD and BED are congruent, we can conclude that FAB is congruent to ECD because they are both composed of two congruent triangles.
Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).
What are the coordinates of the image of ABCD after applying the transformation (x, y) ⟶ (–x, y) and then applying (x, y) ⟶ (x, –y)?
The coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).
What is transformation of points?
The reflection is the kind of transformation that takes place whenever a shape's points cross a line. When the points are reflected over a line, the image is on the opposite side of the line from the pre-image and is located at the same distance from the line. The image point is reflected from each point (p, q).
Given:
Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).
First to find the coordinates after applying the transformation
(x, y) ⟶ (–x, y).
So,
A(-2, 0) ⟶ A'(2, 0)
B(0, 4) ⟶ B'(0, 4)
C(4, 6) ⟶ C'(-4, 6)
D(2, 2) ⟶ D'(-2, 2)
Now applying the transformation (x, y) ⟶ (x, –y)
A'(2, 0) ⟶ A"(2, 0)
B'(0, 4) ⟶ B"(0, -4)
C'(-4, 6) ⟶ C"(-4, -6)
D'(-2, 2) ⟶ D"(-2, -2)
Hence, the coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).
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wats ur favorite video game
Answer:
war zone/ stumble guys:)
Step-by-step explanation:
in a valid syllogism, . group of answer choices the conclusion is true. all of the others. the conclusion follows from the premises. the premises are true.
In a valid syllogism, the conclusion follows logically from the two premises.
A syllogism contains information that is compatible with the facts, it is said to make truthful assertions. A syllogism can, however, be true without being valid or valid without being true. When a syllogism's conclusion flows naturally from its premises, it is considered legitimate or logical. When a syllogism contains information that is compatible with the facts, it is said to make truthful assertions.
Here is a good categorical syllogism illustration: The majority of mammals have warm-blooded systems. Minor: Black dogs are all animals. Consequently, all black dogs have heated blood.
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Shelby is walking through her favorite store and sees a shirt she likes being sold for $80.00. She then notices the store is having a 45% off sale on all items. Excited to purchase the shirt, she grabs it and goes to the cash register. As she’s taking out her wallet, she finds a coupon for 25% off (that is applied after the store’s sale). What is the final price of the shirt that Shelby pays after the two discounts?
a. $9.00
b. $33.00
c. $28.00
d. $52.00
Answer:
B. $33
Step-by-step explanation:
First take off the initial 45% from 80 by multiplying it by .55
80x.55= 44
Then, take off the other 25% by multiplying the resulting 44 by .75
44x.75=33
jody and jill are going on a road trip. they would like to make it 350 miles before stopping. if they keep a speed of 70 mph, how many hours will it take to reach their first stop?
It will take to reach their first stop in 5 hours 43 minutes.
How to solve word problems?
Establish a variable.Utilizing the variable, write an equation.Make the equation work.Use the variable to determine the answer if it is not the word problem's solution.Solve word puzzles on a regular basis, teach students how to solve problems, Model or visualise the issue, Make that they specify the question at hand, Take the numbers off, Select the appropriate action for the circumstance.
Speed = Distance/ time
Distance / Speed = Time
= 350 mi / 70 mph
= 5.7142 hours
= 0.7142 hours
≈ 60(0.7142)
≈ 5 hours 43 minutes
Hence, The trip takes 5 hours and 43 minutes to reach their first stop.
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The picture shows angles A and B. Explain why sin(B) = sin(A) and why cos(B) = -cos(A).
Answer:
Step-by-step explanation:
A = 45 degrees
B = 225 degrees
sin(225) = -√2/2
sin(45) = √2/2
-sin(45) = -√2/2
cos(225) = -√2/2
cos(45) = √2/2
-cos(45) = -√2/2
an international food festival charges for admission and for each sample of food admission and 4 samples cost $8.75 admission and 9 samples cost $13.75 write a linear function rule to model the cost t for any number of samples x
Answer:
t = x +4.75
Step-by-step explanation:
You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).
SlopeThe slope of the function can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00
InterceptThe y-intercept of the function can be found from ...
b = y -mx
b = 8.75 -(1.00)(4) = 4.75
Slope-intercept equationThe slope-intercept equation is of the form ...
y = mx +b
For m=1 and b=4.75, and using t instead of y, we have ...
t = x +4.75 . . . . linear function rule
Three times the larger of two consecutive even integers is ten more than the smaller. Find the numbers
Answer:
The numbers are 2 and 4---------------------------
Let the integers be x and y.
Set equations:
y = x + 2 (consecutive even numbers are 2 apart)3y = x + 10Substitute the value of y into the second equation:
3(x + 2) = x + 103x + 6 = x + 103x - x = 10 - 62x = 4x = 2Find y:
y = 2 + 2 y = 42/9x + 1/5x=38
note: the 2/9 and the 1/5 are fractions
what is x?
Answer:
The answer is:
x=90 or x=1/90
Step-by-step explanation:
A group of 10 science club students is on a field trip. That number of students represent 20% of the total number of students in the science club. What is the total number of students in the science club?
A 20
B 30
C 50
D 80
The total number of students in the science club will be 50. Then the correct option is C.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A gathering of 10 science club understudies is on a field trip. That number of understudies addresses 20% of the complete number of understudies in the science club.
The total number of students in the science club will be given as,
⇒ 10 / 0.20
⇒ 50
The total number of students in the science club will be 50. Then the correct option is C.
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Answer:
Step-by-step explanation:
What happens when you apply a scale factor greater than 1?
When the scale factor is greater than 1, the dilation is an enlargement.
We have to explain, what happens when you apply a scale factor greater than 1.
The pre-image and image have the same shape after dilatation, but they are not the same size.
The figure is the same from every perspective. The midpoints of the figure's sides and the dilated shape's midpoint are both unchanged. Lines that are parallel and perpendicular to one another in the figure are identical to those in the dilated figure. The pictures stay the same.
When the scale factor is greater than 1, the dilation is an enlargement.
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What is the slope of the line passing through 3 8 and (- 1 0?
The slope of the line passing through (3, 8) and (-1, 0) will be equal to 2.
Slope of the line is needed for the equation of the line and If we have two points (x₁, y₁) and (x₂, y₂) and we need the slope then the formula of finding the slope between these points is expressed as
m = (y₂ - y₁)/(x₂ - x₁)
where m is the slope between the points, y₂ - y₁ is difference between the y coordinates and x₂ - x₁ is the difference between the x coordinates.
Now the points given are (3, 8) and (1, 0), so the difference between the coordinates is expressed as
y₂ - y₁ = 0 - 8
y₂ - y₁ = -8
and
x₂ - x₁ = 1 - 3
x₂ - x₁ = -4
Now the slope will be equal to
m = -8/-4
m = 2
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I need's da help I can get
Answer: c
Step-by-step explanation: 18/8=2.25
pls help me this is due now and can you explain how to do it
Answer:
D) -5
Step-by-step explanation:
-5 x -5 x -5= -125
Cube root means u multiply a number three times. Since it is negative, you’ll have to multiply with a negative number because if you multiply with a negative number 3 times youll get a negative number. A and C are a result of addition or square root.
Hope that was clear. Ask me any other questions to clarify!
Answer:
D. -5
Step-by-step explanation:
∛-125
= [tex](-125)^{\frac{1}{3} }[/tex]
= [tex]((-5)^{3} )^{\frac{1}{3} }[/tex]
[tex](a^{b} )^{c} = a^{b*c}[/tex]
= -5
Which of the correlation values represent a perfect linear relationship between x and y?
a. 0.5
b. 1
c. 100
d. -1
e. 0
The correlation values which represents a perfect linear relationship between x and y are:
b. 1 and d. -1
A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.
The appropriate choices are :
b. -1
d. 1
A perfect linear relationship (r=-1 or r=1) states that a linear function of one variable can perfectly describe the other.
A statistical word used to express a straight-line relationship between two variables is a linear relationship (or linear association). Graphs and mathematical equations of the form y = mx + b can both be used to represent linear relationships.
Hence we get the required answer.
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Toms age minus bobs age is 2 bobs age is 82 less than three times toms age how old is Tom age how old is Tom and bob
Answer:
Tom is 164 years old and Bob is 3*164-82=246 years old.
Step-by-step explanation:
Let X be Tom's age.
Bob's age is 3X-82.
The difference in their ages is X-(3X-82)=2(3X-82)
Solving for X, we get X=164.
Tom is 164 years old and Bob is 3*164-82=246 years old.
slove the system using substitution method
y=x+2
2x-3y=1
Answer:
Point slope
(-7, -5)
Equation form
x=-7, y=-5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
(-7, -5)
Step-by-step explanation:
y = x + 2
2x - 3y = 1
2x - 3(x + 2) = 1
2x - 3x - 6 = 1
-x - 6 = 1
+6 +6
----------------
-x + 7
x = -7
y = x + 2
y = -7 + 2
y = -5
(-7, -5)
I hope this helps!
What is the vertex of â ABC?
The vertex of angle ABC is equal to point B.
Step by Step explanation :
Given angle is represented by ∠ABC
Angle is representation of two rays meeting at the same point.Initial point of both the rays is same known as vertex of the angle.In the given angle ABC , two different rays are BA and ray BC.Initial point of ray BA is B and initial point of ray BC is B.Ray BA and BC meet at point B.Initial point of ray BA and BC is point B.Point 'B' is known as the vertex of angle ABC.Therefore, the vertex of the given angle ABC is given point B.
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What is the slope (rate of change) of the line?
a. -2
b. 0
c. 2
d. undefined
Answer:
a. -2
Step-by-step explanation: