The numbers of questions answered correctly by various students on a 10 question quiz are an example of discrete data.
What is discrete data?Discrete data is the type of data that has clear spaces between values.
As a result, the test-scores are discrete data. Although most discrete data, refers to things we can count easily, it does not have to be numeric. Non-numeric categories could be described as discrete data.
Discrete data is a count that involves integers — only a limited number of values is possible. This type of data cannot be subdivided into different parts. Discrete data includes discrete variables that are finite, numeric, countable, and non-negative integers.
Discrete data is a type of quantitative data that includes figures and statistics of non divisible, single points of data that you can count. You typically write discrete data points as numbers that represent exact values, and discrete data usually represents single events that have already occurred. When reviewing discrete data, companies analyze exact figures like units that were sold on a given day or the hours that an employee worked during a certain week.
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. An ant is standing at the center of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?
The size around the circular edge of the plate is 37.68 inches
How to find the circumference of a circle?The circumference of a circle can be solved as follows:
The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .
The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.
Hence, the distance around the edge of the plate is the circumference of the plate.
Therefore,
circumference of the circular plate = 2πr
circumference of the circular plate = 2 × π × 6
circumference of the circular plate = 12π
circumference of the circular plate = 12 × 3.14
circumference of the circular plate = 37.68 inches
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help me with this, correct answer get brainliest
Answer:
B
Step-by-step explanation:
Given the function w(x) = 9x + 8, evaluate w(5). Explain all steps.
The value of the function w(5) is 53
How to evaluate the function?The function is given as:
w(x) = 9x + 8
The expression w(5) implies that the value of x is 5
i.e. x = 5
Substitute the known values in the above equation
w(5) = 9 * 5 + 8
Evaluate the product
w(5) = 45 + 8
Evaluate the sum
w(5) = 53
Hence, the value of the function w(5) is 53
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Solve this question with full working and explanation and I will mark you as brainliest.
Answer:
The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.
Step-by-step explanation:
The hand moved from 3 to 12, that is, it moved:
12 - 3 = 9 hours
In a clock, 12 hours represent a complete turn.
∴ Using the unitary method:
12 hours ⇒ 1 turn
1 hour ⇒ [tex]\frac{1}{12}[/tex] turns
9 hours ⇒ [tex]\frac{1}{12}[/tex] × 9 = [tex]\frac{9}{12}[/tex]
= [tex]\bf \frac{3}{4}[/tex] turns (simplified)
∴ The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.
The answer is [tex]\boxed{\frac{3}{4}}[/tex].
To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.
Hours covered between 3 and 12 : 12 - 3 = 9Hours covered in a complete turn = 12Fraction of a complete turn it moved : 9/12 = 3/4What is the midpoint of a line segment connecting the points (−4,6) and (8,2)?
Answer:
(2,4)
Step-by-step explanation:
1. Add the 2 x-values together, then divide. The resulting number is the x-value of the midpoint. -4+8=4 and 4/2=2, so the x-value is 2
2. Do the above steps (add & divide) for the two y-values. 6+2=8 and 8/2=4, so the y-value is 4
3. put the two values together in a coordinate pair & you have your midpoint! so if x=2 and y=4, then the midpoint is (2,4)
hope this helps :)
Graph h(x)=−|x+2|+4.
The graph is in the attached image.
The graph of the function f(x)= 5/4 sin(x)+1 is shown. What are the key features of this function?
- The maximum value of the function is....(2pi,2.25,1)
- The minimum value of the function is...(pi/2,-0.25,-1)
- On the interval (0,pi/2), the function is...(increasing, decreasing)
-the range of the function is...([-0.25,2.24],all real numbers, [-1,1])
The answers to this question can be given as
The maximum value of the function is 2.25- The minimum value of the function is -0.25- On the interval (0,pi/2), the function is increasing-the range of the function is ([-0.25,2.25]What is the maximum value of a function?This is the point of the function while is it shown on the graph where it is said to be at its highest point or it is at its highest vertex.
When you trace the graph, the highest point is at 2.25.
What is the minimum value of a function?This is the point or the part of the function where it is at the vertex that is the lowest in the graph.
This is at -0.25
This is a function that can be said to be increasing from the behavior of this graph.
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Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
Determine the qualities of the given set. (select all that apply. ) (x, y)| 9 < x2 y2 < 25
The question given is incomplete. Completed question is given below the answer.
The set, {(x, y)|9<x2+y2<25} is open and connected.
The following set, {(x, y)|9<x2+y2<25} is:
A. is open (all points of the set are interior)
B. is connected (since it can not be divided into parts)
C. it is not simply connected (it has holes)
D. False, according to the previous answers
Open Set:
In mathematical terms, a set is said to be open if all its points are interior.
That is to say, no point that belongs to the border of the set or is isolated belongs to the set.
Determine the qualities of the given set. (Select all that apply.)
{(x, y)|9<x2+y2<25}
A. open
B. connected
C. simply connected
D. none of the above
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A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation?
The value of the constant of variation is 3.
The correct option is C.
What is variation?Direct variations occur when variables in a variation vary proportionately, that is, when they both increase or decrease at the same time. As a result, you can write X Y symbolically if X and Y are in direct variation. The variables alter disproportionally in inverse or indirect variations.
According to the given information:
Let the constant of variation be k
A quantity h varies directly with w and inversely with p
That is,
h∝ w/p
Introducing the constant of variation, k, we get
h = k(w/p)
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
2 = K x 4/6
6 x 2= 4K
K = (6 x 2)/4
K = 3
Hence, the value of the constant of variation is 3.
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I understand that the question you are looking for is:
A quantity h varies directly with w and inversely with p. If h = 2, w = 4, and p = 6. What is the constant of variation?
A. 1/2
B. 4/3
C. 3
D. 12
Answer:
C
Step-by-step explanation:
The verified user said so
distance between −42 and −78
Answer:
36 units
Step-by-step explanation:
to find the distance take the absolute value of the difference, that is
| - 42 - (- 78) | = | - 42 + 78 | = | 36 | = 36
or
| - 78 - (- 42) | = | - 78 + 42 | = | - 36 | = 36
Answer:
-36
Step-by-step explanation:
-78 - (-42)
= -78 + 42
= -36
The diameter of a circle graphed in the xy-plane has endpoints at (-2, -1) and (4,7). Which of the following is an equation of the circle?
A (x + 1)² + (y + 1)² = 25
B (x + 1)² + (y + 1)² = 100
C (x - 1)² + (y - 3)² = 100
D (x - 1)² + (y - 3)² = 25
The required equation of the circle whose endpoint of the diameter (-2, -1) and (4,7) is (x - 1)² + (y - 3)² = 25 . Option D is correct.
Given that,
The endpoints of the circle's diameter (-2, -1) and (4,7).
The equation of the circle is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r².
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Center of the circle(h, k) = (-2 + 4)/2 ,(-1+7)/2
= 1 , 3
Radius of the circle,
[tex]r^2 =\sqrt{(1+2)^2+(3+1)^2}\\r^2 =\sqrt{9+16} \\r^2 = 25[/tex]
Equation of the circle with center (1, 3)
[tex]r^2 = (x - 1)^2 + (y-3)^2[/tex]
[tex]25 = (x - 1)^2 + (y-3)^2[/tex]
Thus, the required equation of the circle whose endpoint of the diameter (-2, -1) and (4,7) is (x - 1)² + (y - 3)² = 25 . Option D is correct.
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JOAL is a parallelogram. Find the length of OA.
Answer:
OA=95
Step-by-step explanation:
JL = 19Z = OA = 4Z+75
19Z = 4Z+75
19Z-4Z=75
15Z=75
Z=75÷15
Z=5
OA=4(5)+75
OA=95
btw, u stan blackpink? i cant wait for their next comeback "BORN PINK"
Which graph represents the function f(x)= 2x-1 x-1 ?
Answer:
The bottom graph.
Step-by-step explanation:
The asymptote ( in between the 2 curves) on the bottom graph is at x = 1, because when x = 1 the denominator = 0.
Help, please 20 points!
Answer:
The second choice is correct.
Step-by-step explanation:
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
The second choice that is B≥ C is correct.
The basics of this question requires us to read the number line perfectly
As we go right on the number line, we are getting to larger and larger values.
D is greater than C because it is to the right of C, so the first choice is not correct.
The third choice is showing absolute value. This is saying that the letters C and D are both the same distance from zero. They are not.
The last choice says that A is to the right of B and it is not.
Thus option 2) is correct
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Solve 2tan(x)cos^2(x)=1 algebraically
3. Ying Yu turned 22 this year. In 8 years, she will be three times as old as her little brother will be then. How old is her little brother now? Answer
Answer:
He is 2 years old.
Step-by-step explanation:
She is 22, in 8 years she will be 30. 30 is 3×10. At that time, her brother will be 10; that is 8 years from now. So now, the little brother is 10-8 = 2 years old.
If you must show algebra work:
x = brother's age now.
x+8=brother's age in 8 years.
YingYu's age in 8 years = 3 × brother's age in 8 years
22+8 = 3(x+8)
30 = 3x +24
6 = 3x
2 = x
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
65% of the 800 students at North High School ride the bus. How many students ride the bus?
Answer:
800÷100 = 8
65×8=520
[tex]\frac{520}{800}[/tex]
another way:
100%-65%=35%
35% = 0.35
800×0.35= 280
800-280=520
another way:
65% = 0.65
0.65×800=520
Hope it helped! :)
Geometry: complete this proof (ASAP! It’s urgent)
Answer:
1. <1 ~= <4 (Given)
2. <2 is supplementary to <1; <3 is supplementary to <4 (Because <1 & <2, <3 and <4 form linear pairs, they are supplementary by the linear pair postulate.)
3. <2 ~= <3 (By the definition of supplementary angles, m<1 + m<2 = 180 and m<3 + m<4 = 180. By definition of congruent angles, m<1 = m<4, therefore m<2 = m<3 by substitution property of equality.)
4. AB ~= BC (Converse of Isosceles Triangles Theorem)
5. Triangle ABC is isosceles (Definition of Isosceles Triangles)
Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top of the escalator to the floor is 36.84°, and the escalator is 15 feet long. how far is the top of the escalator from the ground floor? round your answer to the nearest foot. 9 feet 12 feet 20 feet 36 feet
The top of the escalator exists 9 feet far from the ground floor.
How to estimate how far is the top of the escalator from the ground floor?
Let h denote the distance between the top of the escalator from the ground floor.
We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.
The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.
[tex]$&\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\[/tex]
[tex]$&\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\[/tex]
[tex]$&\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\[/tex]
[tex]$&0.599582468446 * 15=h \\[/tex]
8.993737 = h
[tex]$&h \approx 9[/tex]
Therefore, the top of the escalator exists 9 feet far from the ground floor.
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la+xl/2 - la-xl/2, if a= -2, x= -6
HELP!!!
Answer: 2
Step-by-step explanation:
1) substitute
2) calculate the difference before the absolute value
3) calculate the absolute value
4) convert into whole numbers/reduce
5) subtract the whole numbers
this is what i think might be wrong
Which of the following expressions is equivalent to ab² + 6ab + 7a3-14a?
(b + 7)(b + 6)(a²-2)
Ob(b + 6)+7(a²-2)
Oa[b(b + 6) +7(a²-2)]
a[(b + 7)(b + 6) (a²-2)]
Answer:
"a[b(b + 6) +7(a²-2)]" (the third one)
Step-by-step explanation:
if the perimeter of an equilateral triangle is 24cm, find the length of it's side
Answer:
it's side length equals to 8.
Step-by-step explanation:
Hello!An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.
Perimeter: 3 x side of equilateral triangle
[tex]24 = 3 \times each \: sides[/tex]
divide both sides by 3
[tex]one \: of \: its \: side = 8[/tex]
Thus, as all the three sides equals to 8.
Hope it helps!
Simplify the expression. h4(h3)–6
Answer:
[tex]h^7-6[/tex]
Step-by-step explanation:
1) Regroup terms.
[tex]h^4h^3-6[/tex]
2) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].
[tex]h^{4+3}-6[/tex]
3) Simplify 4 + 3 to 7.
[tex]h^7-6[/tex]
The graph of a quadratic function with vertex (1,-3) is shown in the figure below.
Find the domain and the range.
Answer:
Domain: (-∞, ∞), Range: [-3, ∞)
Step-by-step explanation:
Domain is all of the possible x-values in a solution set, in this case since the solution extends infinitely horizontally it would be:
(-∞, ∞)
The range is just all of the possible y-values in a solution set, which in this set starts from -3 and proceeds on infinitely, making the range:
[-3, ∞)
What is the constant of variation for the following table? If your answer is in the form of a fraction, write your answer in as a/b.
(where a is the numerator and b is the denominator)
Answer:
1/4
Step-by-step explanation:
Change is y (f9x) over the change in x.
Look at the f(x) column.
What is the change from -2 to -1? 1
What is the change from -1 to 0? 1
What is the change from 0 to 1? 1
What is the change from 1 to 2? 1
We see that this change is constant. It is always 1.
Look at the x column.
What is the change from -8 to -4? 4
What is the change from -4 to 0? 4
What is the change from 0 to 4? 4
What is the change from 4 to 8? 4
We see that the change is constant. It is always 1.
When we put this change the form a/b we get 1/4
Among the 2302 respondents, 627 said that they only play hockey. what percentage of respondents said that they only play hockey?
The percentage of respondents who play only hockey is 27.24%.
According to the given question.
Total number of respondents = 2302
And, the number of reposdents who play only hockey = 627
Therefore,
The percentage of respondents said that they play only hockey
= (number of respondents who play only hockey/ total number of respondents) × 100
[tex]= \frac{627}{2302} \times 100[/tex]
= 27.237 %
≈ 27.24%
Hence, the percentage of respondents who play only hockey is 27.24%.
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PLEASE HELP ITS MATH
Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope [tex]\frac{1}{4}[/tex] turns into [tex]\frac{4}{1}[/tex] and is then multiplied by -1 to become [tex]\frac{-4}{1}[/tex] which can be simplified down to: [tex]-4[/tex]
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
[tex]y-y1=m(x-x1)[/tex]
Substitute in our slope and point values:
[tex]y-2=-4(x-2)[/tex]
Now solve for y:
[tex]y-2=-4(x-2)\\y-2=-4x+8\\y=-4x+10[/tex]
Then you will find that line [tex]y=-4x+10[/tex] runs perpendicular to [tex]y=\frac{1}{4}x-8[/tex] and intersects point (2,2).
A 3 tonne mix of gravel contains blue
metal and gravel in the ratio 2:3.
How much gravel is in the mix?
Answer:
1.8 tonne
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
divide the total mix by 5 to find the value of one part of the mix
3 tonne ÷ 5 = 0.6 tonne , then
3 parts = 3 × 0.6 = 1.8 tonne ← amount of gravel in the mix
Find all real numbers x such that x^2 < 4. Give your answer in interval notation.
Inequalities help us to compare two unequal expressions. For all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the inequality x²<4, whose solution can be calculated as shown below.
x² < 4
x² - 4 < 0
x² - 2² < 0
(x+2)(x-2)<0
x = (-2, 2)
Hence, for all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).
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