The number of papers that can be graded in 60 minutes is (60 minutes)*(4 papers/minute) = 24 papers.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented in many different forms, including the conventional Hindu-Arabic numeral system, Roman numerals, and other symbolic systems. Numbers can be used to represent a variety of things, including sets, quantities, relations, and functions. They can also be used to represent abstract ideas, such as order and infinity.
The correct answer is 24 papers. To calculate this, we can use the rate of change to determine the number of papers that Mr. Harris can grade in 60 minutes. The rate of change is the difference in the number of papers graded in each time interval, divided by the difference in the time intervals. In this case, the rate of change is (6-2)/(15-5) = 4 papers/minute.
Therefore, the number of papers that can be graded in 60 minutes is (60 minutes)*(4 papers/minute) = 24 papers.
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Mr. Harris will grade 24 papers in 60 minutes. Hence, the answer is 24 papers.
What is Rat?The rate refers to the speed at which something changes over time. It is a measure of how quickly or slowly something happens.
The rate can be expressed as a ratio of two quantities, such as distance traveled per unit of time, or number of occurrences per unit of time.
Here we have
The table below shows how many papers he graded in minutes.
Minutes 5 15 35 50
No of papers graded 2 6 14 20
Use the information given in the table to find the rate at which Mr. Harris grades papers (in papers per minute).
To do this, we can use the formula:
Rate = (number of papers graded) / (time in minutes)
For 5 minutes: rate = 2/5 = 0.4 papers per minute
For 15 minutes: rate = 6/15 = 0.4 papers per minute
For 35 minutes: rate = 14/35 = 0.4 papers per minute
For 50 minutes: rate = 20/50 = 0.4 papers per minute
Since the rate is the same for all time intervals, we can assume that Mr. Harris will continue to grade papers at a rate of 0.4 papers per minute.
Therefore, we can use the formula:
Number of papers = Rate × Time in minutes
To find the number of papers that Mr. Harris will grade in 60 minutes:
=> Number of papers = 0.4 × 60 = 24
Therefore,
Mr. Harris will grade 24 papers in 60 minutes. Hence, the answer is 24 papers.
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Which models show 40%?
Check all that apply.
A,B or C??
Answer:
A and B
A is 4/10 which is equivalent to 40/100 (40% in fraction form)
and B is 40/100
(the shortcut is to count the blocks going across and then going down and multiply in this case it gives you 100 for the whole square and 40 shaded)
C is 2/10 or 20%
Answer please please please please
Answer:
answer what?
Step-by-step explanation:
Help me solve please
What’s the answer? Also, anyone know or care to explain how to use fraction bars like this? Thanks
Answer:
can't see full thing dhbsvshshzhd
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged with at least a bachelor's degree in was . In the year , this percentage was , in it was , and in it was only (Pew Research website). a. What is the population being studied in each of the four years in which Pew has data
Complete Question:
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 who are college educated is at an all-time high. The study showed that the percentage of employed individuals aged 25-29 with at least a bachelor's degree in 2016 was 40%. In the year 2000, this percentage was 32%, in 1985 it was 25%, and in 1964 it was only 16%.+
(a) What is the population being studied in each of the four years?
O college educated individuals
O college educated individuals aged 25-29
O individuals aged 25-29
O employed individuals aged 25-29
O employed individuals
(b) What question was posed to each respondent?
O Have your earned a bachelor's degree (or higher)?
O Are you enrolled in college?
O Are you between the ages of 25 and 29?
O In what year did you receive your bachelor's degree?
O Are you employed?
(c) Do responses to the question provide categorical or quantitative data?
O categorical
O quantitative
Answer:
U.S. Census Bureau
a. The population being studied in each of the four years is:
O college educated individuals aged 25-29
b. The question that was posed to each respondent is:
O Have your earned a bachelor's degree (or higher)?
c. O categorical
Step-by-step explanation:
a) Data and Calculations:
Percentage of employed individuals ages 25-29 with at least a bachelor's degree
in 2016 = 40%.
In the year 2000 = 32%,
in 1985 = 25%,
in 1964 = 16%.+
The percentage has continued to increase steadily.
b) Categorical data does not indicate numbers. They are qualitative in nature. Instead, the data are grouped into categories. Examples of categorical data are data about race, sex, age group, and educational level.
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
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What descriptions below accurately describe a function?
Select all that apply
a
A function is a pairing of numbers in which one input is paired with exactly one output
b
In a function, the output is allowed to be shared. This means that different inputs can all share the same output.
c
A function is a pairing of numbers in which one input is paired multiple outputs.
Please answer this correctly without making mistakes
Answer:
sorry I don't have a couple about this thing but
Step-by-step explanation:
u can subtract with the same units so. 2mi-581yd it asks separately but u can change the mile for more use unit converter
Answer:
If I'm correct it is 1 mile and 1,179 yards
Step-by-step explanation:
I converted the miles into yards and added the extra yards(5618-2679), subtracted them (2939), then converted my answer back to miles.
I hope this helps and have a great day! :)
What is the area of the circle shown below? Please
answer quickly! 20 points
Answer:
A =1017.9 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi * (18)^2
Using the pi button
A =1017.87602 cm^2
Rounding to 1 decimal place
A =1017.9 cm^2
What is the volume of a cylinder with a base radius of 4 and height 7?
Answer:
351.86
Step-by-step explanation:
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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I need help with this question
Answer:
5/7
Step-by-step explanation:
ratio of boys to girls---> 2:5
ratio sum: 2+5=7
girls ratio =5/7
OR
total of people in 7th grade choir=28
hence, no of girls in 7th grade choir=5/7 × 28
=20
proportion of girls in choir= 20/28 = 5/7
Consider the line y=-9x+5.
Find the equation of the line that is parallel to this line and passes through the point (7, 2).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 2).
Step-by-step explanation:
1) if the point A(7;2) and the given line is in slope-interception form, then the required parallel line has the same slope, its equation can be written as: y=-9x+C, where C - unknown number;
2) to calculate the C it is needed to substitute the A(7;2) into the required equation of the parallel line:
2=-9*7+C; ⇒ C=65.
3) the parallel line is: y=-9x+65.
4) if the point A(7;2) and the given line is in slope-interception form, then the slope of the perpendicular line is: (-1)/(-9)=1/9, and the required equation of the perpendicular line can be written as:
y=1/9 *x+C, where C - unknown number;
5) to calculate the C it is enough to substitute the A(7;2) into the required equation of the parallel line:
2=1/9 *7+C; ⇒ C=11/9;
6) the perpendicular line is:
\(y=\frac{1}{9} x+\frac{11}{9}.\)
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
help fast please.........................
The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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Use the function f(x) = 2x²-3x - 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
The equation be 2x² - 3x - 5 then the value of x = -1.
Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.
How to simplify the value of x?Part A: Let f(x) = 0 and solve for x to get the x-intercepts.
Given the function 2x²-3x - 5 = 0
Factor to get (2x - 5) (x + 1) = 0
then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1
These are the x-intercepts.
Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)
where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.
In this case a = 2, b = -3 and c = -5.
So -b/2a = 3 / 4
f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.
The coordinates of the vertex exist (3/4, -6.125)
Part C: I will give them a minimum from completing the square
y = \($$2(x - 0.75)^2\) - 6.125
as x approaches + ∞, y approaches + ∞.
as x approaches - ∞, y approaches + ∞.
It's a quadratic.
The y values go to + ∞ when x goes from - ∞ to + ∞.
Part D: The graph is as follows:
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Adding Rational Expressions
Simplify the following sum, and show all work please.
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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If a video is getting 5,000 views every 10 minutes, how long will it take to reach 60,000 views?
Answer:
60,000÷5000=12
12×10=120 minutes.
The function g is related to one of the parent function g(x)=-(x-2)^3
Answer:
(2,0)
Step-by-step explanation:
The initial size of a culture of bacteria 1100. After 1 hour, the bacteria count is 9500.
Find the function n(t)=no
that models the population after
hours.
Find the population after 1.5 hours.
Then Find the number of hours when the number of bacteria will reach 20,000.
Sketch the graph of the population function.
To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:
n(t) = n0 * e^(kt)
Where:
n(t) is the population after t hours,
n0 is the initial population size,
e is the base of the natural logarithm (approximately 2.71828),
k is the growth rate constant.
We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:
\(9500 = 1100 * e^(k*1)\)
To find k, we can divide both sides by 1100:
9500/1100 = e^k
Now, we can solve for k by taking the natural logarithm (ln) of both sides:
ln(9500/1100) = ln(e^k)
ln(9500/1100) = k
Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):
\(n(t) = 1100 * e^(ln(9500/1100) * t)\)
To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:
\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)
To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:
\(20,000 = 1100 * e^(ln(9500/1100) * t)\)
Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.
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50 POINTS!!!
A spinner is divided into 4 equal sections numbered 1 to 4. The theoretical probability of the spinner stopping on 3 is 25%. Which of the following is most likely the number of 3's spun in 10,000 spins?
1,367
2,400
2,538
3,108
PUT SOLUTION AND STEPS PLS
To find how many times it will land on 3 in 10,00 spins you need to find 25% of 10,000 so 10,000 times .25 is the equation which is 2,500 so if I'm not mistaken the spinner should land on the third section 2,500/ times in 10,000 spins theoretically speaking, but if you have to find something close to it, its 2538 due to it being the closest.
Answer:
third one 2538
Step-by-step explanation:
it is the closest because 25% of 10,000 is 2500, the closest number to 2500 is 2538John passes a 40% of the levels in the Fornite video game. Shade the grid below to represent the levels that he has passed. Picture is at bottom.
Answer: 10 down for across
Create a square that is shaded in the bigger square.
Step-by-step explanation: 0.01*40= 0.4
0.4* 100 = 40%
Answer:
answer:10 down for across but also joe is lame and bad for playing fortnite
Step-by-step explanation:
joe is fat and lame, because he plays fortnite
maybe joe can redeem himself if he beats the ender dragon.
4. An equilateral triangle has a perimeter of 60 cm. Find the exact
altitude of the triangle.
Step-by-step explanation:
GIVEN:-The Perimeter of Equilateral triangle = 60cm
UNDERSTANDING THE CONCEPT:-According to the question,
To find the height of the triangle,
Perimeter of Equilateral triangle = Area of Equilateral triangle.
FORMULA USED:-\(60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ \)
REQUIRED ANSWER:-\(60 \times 4 = \sqrt{3a {}^{2} } \)
\(a {}^{2} = 240 \sqrt{3} \\ \)
\(a = 120 \sqrt{3} cm\)
SO, The Exact height of the triangle is 120√3cm.Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
A.
g(-4) = -11
B.
g(7) = -1
C.
g(-13) = 20
D.
g(0) = 2
Let's take a look through each of the potential options and see whether they meet our requirements:A. g(7) = -1We're told at the beginning of the problem that our domain is restricted to the range [-20, 5]. Our input here, x = 7, is out of that range, which means it's not in the domain and can't be true for the function g.B. g(-13) = 20Unlike 7, -13 is in the domain of g since it's between -20 and 5. 20 is also in g's range, since it's between -5 and 45. B could be true for g. We have our answer at this point, but I'll point out why the other two are false, too.C. g(0) = 2We know from the question that g(0) = -2, so this is clearly false.D. g(-4) = -11-11 is less that -5, which means it lies outside the range of g.
Find the domain of the rational expression: 6-x/4x+20
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are \(270^{\circ},90^{\circ}\) and \(650.94\) feet.
Given :
The shore station point \((X_1,Y_1)\) in feet,
\((X_1,Y_1)=(2058.97, 6980.06)\)
The Rock station point \((X_2,Y_2)\) in feet
\((X_2,Y_2)=(1408.03,6980.06)\)
From the figure
\(x=2058.97-1408.03=650.94\) feet
\(y=6980.06-6980.06=0\\\) feet
Length of the line \(L=\sqrt{x^2+y^2}\)
\(\Rightarrow L=\sqrt{(650.94)^2+0}=650.94\)
\(\Rightarrow L=650.94\) feet
\(\because\) \(\tan \theta=\frac{y}{x}=\frac{0}{x}=0\)
\(\Rightarrow \theta=\tan^{-1}(0)=0\)
Azimuth of line\(=270^{\circ}+\theta\)
\(=270^{\circ}+0\)
\(=270^{\circ}\)
\(\therefore\) Bearing \(=360^{\circ}-\text{Azimuth}\)
\(=360^{\circ}-270^{\circ}\)
\(=90^{\circ}\)
Is a measure of 25 inches "far away" from a mean of 16 inches? As someone with knowledge of statistics, you answer "it depends" and request the standard deviation of the underlying data. (a) Suppose the data come from a sample whose standard deviation is 3 inches. How many standard deviations is 25 inches from 16 inches? (b) Is 25 inches far away from a mean of 16 inches? (c) Suppose the standard deviation of the underlying data is 7 inches. Is 25 inches far away from a mean of 16 inches?
Answer:
a) 25 is 3 standard deviation from the mean
b) Is far away from the mean, only 0,3 % away from the right tail
c) 25 is pretty close to the mean (just a little farther from 1 standard deviation)
Step-by-step explanation:
We have a Normal Distribution with mean 16 in.
Case a) we also have a standard deviation of 3 inches
3* 3 = 9
16 (the mean) plus 3*σ equal 25 in. the evaluated value, then the value is 3 standard deviation from the mean
Case b) 25 is in the range of 99,7 % of all value, we can say that value is far away from the mean, considering that is only 0,3 % away from the right tail
Case c) If the standard deviation is 7 then
mean + 1*σ = 16 + 7 =23
25> 23
25 is pretty close to the mean only something more than 1 standard deviation
Need help asap, please and thank you
If the population in the year 2007 is 111.3 million, then the population in the year 2044 will be 148.37 million.
In order to find the population in the year 2044, we use the population growth formula; which is : P = P₀ × (1 + r)ⁿ;
where P = future population, P₀ = initial population, r = annual growth rate, and n = number of years;
Substituting the values,
We get;
⇒ P = (111.3 million) × (1 + 0.0078)²⁰⁴⁴⁻²⁰⁰⁷;
Simplifying this expression,
We get;
⇒ P = (111.3 million) × (1.0078)³⁷;
⇒ P ≈ 148.37 million;
Therefore, the population in the year 2044 is estimated to be approximately 148.37 million.
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a cup holds d ml of tea. a student drinks on fifth of the tea. how much tea is left
The amount of tea that is left after the student has drank is; ⁴/₅d mL
How to solve fraction word problems?In word problems on fractions, what we do is that we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example;
4/7 of a number is 84. Find the number.
Since 4/7 of a number = 84
The, the Number = 84 × 7/4
Number = 147
Now, in this question, we are given;
Quantity of tea in cup = d ml
Amount of tea a student takes out to drink = ¹/₅ of the quantity in the cup.
Thus;
Amount of tea left = d - ¹/₅d
Amount of tea left = ⁴/₅d
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If the population does not follow the normal probability distribution, the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size. In most cases, sample sizes of 5 or more will result in sample means being normally distributed, regardless of the shape of the population distribution.a) trueb) false
Answer:
The correct option is false
Step-by-step explanation:
Generally the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size( i.e \(n \ge 30\) ) regardless of the shape of the population distribution.
But the question states that the mean is normally distributed if the sample size is 5 or more which is false hence the statement is false