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This dot plot shows scores on a recent math assignment. Which of the following statements are true? Select all that apply. The distribution peaks at a score of 9. The dot plot represents 20 math scores. There are no gaps in the data. The data is skewed slightly to the left. The data is clustered around scores of 8 and 9.
Answers
The statements that are true of the dot plot of the recent math assignment include:
The dot plot represents 20 math scores. There are no gaps in the data.The data is clustered around scores of 8 and 9.What does the dot plot show ?The dot lot shows that the math scores from the assignment are:
5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9
This means that the number of math scores are 20 in total. There are no gaps in the data as from the score of 5, there is a consecutive score till 9.
The data is also clustered around 8 and 9 scores as most people scored either 8 or 9.
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which expression is equivalent to (2x3 +3x+7) / (x2 + x +10)
Answers
The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.
Let us solve the given algebraic expression by the long division method:
We are given the expression:
(2x^3 + 3x + 7) / (x^2 + x + 10)
We need to perform the division of the given algebraic expression:
x^2 + x + 10 ) 2x^3 + 3x + 7 ( 2x - 2
2x^3 + 2x^2 + 20x
- - -
-2x^2 - 17x + 7
-2x^2 - 2x - 20
+ + +
-15x + 27
So,
quotient = 2x - 2
remainder = -15x + 27
Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.
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Lewis has a gross pay of $1,900, a net pay of $1,250, and he pays 160.00 in pre-tax deductions. How much does Lewis pay in taxes each paycheck?
Answers
Answer:
$490
Step-by-step explanation:
Lewis pays $490 in taxes each paycheck.
Given that,
Lewis has a gross pay of $1,900, a net pay of $1,250, and pays 160.00 in pre-tax deductions. How much Lewis pays in taxes each paycheck is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
What is Statistic?Statistic is the study of mathematics that deal with relations between comprehensive data of population, money, and so on.
Here,
Let the taxes pay by lewis at each paycheck be x,
Lewis has a gross pay of $1,900, a net pay of $1,250, and pays 160.00 in pre-tax deductions.
x = 1900 - 1250 -160
x = 480
Thus, Lewis pays $490 in taxes each paycheck.
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11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
Answers
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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Three brothers share some money. The oldest 5/11 of the money. The next boy gets gets 7/12 of the remainder. What fraction of the money does the youngest boy get?
Answers
The fraction of the money the youngest boy does get is 5x/22.
Given that, three brothers share some money. The oldest 5/11 of the money.
Let the total money be x.
Share of oldest boy = 5/11 ×x
= 5x/11
Remainder = x-5x/11
Remainder = 6x/11
The next boy gets 7/12 of the remainder.
Share of next boy = 7/12 × 6x/11
= 7x/22
Share of youngest boy = 6x/11 - 7x/22
= (12x-7x)/22
= 5x/22
Therefore, the fraction of the money the youngest boy does get is 5x/22.
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I really really suck at math.
Answers
Answer:
r=v^2/a
Step-by-step explanation:
a=v^2/r is says so
just multiply each side with r which leads us to
a*r=v^2
now divide each side with a
r=v^2/a
Answer:
Step-by-step explanation:
a = v^2/r
ra = v^2
r = v^2/a
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y = 5 3√x , y = 0, x = 1
Answers
The volume of the cylinder is
V = 2πr ∫ x h(x) dx.
Here the factor 2πr is the average circumference of the cylindrical shell, the factor h is its height, and the factor ∆r is its the thickness.
The formula sums the volume of a cylindrical shell over the radius of the cylinder, and the volume of a cylinder is given by V=2πrh V = 2 π r h where r is the radius and h is the height.
I first found what x=1 would be in terms of y.
y=(2)3=8
And in terms of y, the original equation becomes:
y=x3x=y13
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The volume of the cylinder is V = 2πr ∫ x h(x) dx.
Here the factor 2πr is the average circumference of the cylindrical shell, the factor h is its height, and the factor ∆r is its the thickness.
The formula sums the volume of a cylindrical shell over the radius of the cylinder, and the volume of a cylinder is given by V=2πrh V = 2 π r h where r is the radius and h is the height.
I first found what x=1 would be in terms of y.
y=(2)3=8
And in terms of y, the original equation becomes:
y=x3x=y13
See the image as the answer is given in the image down below.
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Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5
Answers
Answer:
Given equations are,
5x+2y=−2 (1)
3x−5y=17.4 (2)
Multiply equation (1) by 5 and equation (2) by 2, we get,
5(5x+2y)=5×−2
∴25x+10y=−10 (3)
2(3x−5y)=2×17.4
∴6x−10y=34.8 (4)
Adding equations (3) and (4), we get,
31x=24.8
∴x=
31
24.8
Put this value in equation (1), we get,
5(
31
24.8
)+2y=−2
∴
31
124
+2y=−2
∴2y=−2−
31
124
∴2y=
31
−186
∴y=
31
−93
Step-by-step explanation:
Hellp 1000000000000000000 points
Answers
Answer: you need to actually add a question
Step-by-step explanation:
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answers
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
The curvature of a circle is inversely proportional to its radius. What is the exact circumference of a circle with one-third the curvature of a circle of radius 1?
Answers
The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units
What is circumference ?
The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.
If a circle has a radius of 1,
the curvature is inversely proportional to this
So, the curvature= 1
A circle with a curvature of 1/3 :
radius=3
Thus, the circumference of the circle = 2 *π * radius
= 2*π * 3
= 6π
≈ 18.85 units
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The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
Answers
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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Find the y intercept if there is one enter answer as a ordered pair
Answers
Based on the graph, we can see that the line passes through the point (0,3) as the line is horizontal, therefore the y-intercept is (0,3).
Answer:
(0,4)
Step-by-step explanation:
its where it intersects with the y axis
what is the place value of 4 and 3 in 4532160
Answers
Answer:
The 4 is in the 1,000,000´s place and 3 is in the 10,000 place
Step-by-step explanation:
3: ten thousandths place
A colony of bacteria grows 5% every hour.How long does it take for the colony to double in size ? with show working
Answers
5%=1hour
100% =?
100×1/5
20 hours
for it to double it needs to replicate itself by100%
when x=-1, what is the value of y?
Answers
Must show work-Solve the conjunction and describe the solution set. −5 < 2x + 3 < 9
Answers
The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)
How to solve the inequality?The compound inequality is given as:
−5 < 2x + 3 < 9
Expand the inequality
−5 < 2x + 3 or 2x + 3 < 9
Rewrite as:
2x + 3 > -5 or 2x + 3 < 9
Subtract 3 from both sides
2x > -8 or 2x < 6
Divide both sides by 2
x > -4 or x < 3
Rewrite as:
(-4,3)
Hence, the solution set of the inequality is (-4,3)
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Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
Answers
Why is 84,206 less than 84,216?
Answers
Answer:
Because 84,206 is 10 less from 84,216
For example..
84,206+10=84,216
Answer:
Step-by-step explanation:
Because If you subtract
84,206-84,216
then you get 10 meaning that 84,216 is 10 more than 84,206
What contributes to the movement of air masses?
Answers
Answer:
I think it’s air pressure differences
Step-by-step explanation:
Let u = <-3, -1>. Find 7u.
a) <21, -7>
b) <21, 7>
c) <-21, 7>
d) <-21, -7>
Answers
Answer:
(d) <-21, -7>.
Step-by-step explanation:
To find 7u, we simply multiply each component of u by 7:
7u = 7<-3, -1> = <-37, -17> = <-21, -7>
What is the value of the function when x = 1 in the
piecewise function
g(x) =
{
3x
-2x
when x>1
when x≤1
Answers
Answer:
-2
Step-by-step explanation:
3x isnt used because it stated when x>1.
so -2(1) is -2, because x =< 1 is true
Write three hundredths in standard form.
Answers
Answer:
Three hundredths (0.03) in standard form is 3.0 × 10-2
Step-by-step explanation:
hope this helps you if it does please mark brainiest
Answer:
0.03
Step-by-step explanation:
I'm assuming by 'Standard Form' you mean as a decimal value.
“The story began badly,” said the smaller of the small girls, “but it had a beautiful ending.”
“It is the most beautiful story that I ever heard,” said the bigger of the small girls, with immense decision.
“It is the only beautiful story I have ever heard,” said Cyril.
A dissentient opinion came from the aunt.
“A most improper story to tell to young children! You have undermined the effect of years of careful teaching.”
“At any rate,” said the bachelor, collecting his belongings preparatory to leaving the carriage, “I kept them quiet for ten minutes, which was more than you were able to do.”
“Unhappy woman!” he observed to himself as he walked down the platform of Templecombe station; “for the next six months or so those children will assail her in public with demands for an improper story!”
–“The Storyteller,”
Saki
How does the character of the bachelor add to the satire of "The Storyteller”?
His character provides humor in the story by revealing human weaknesses.
His character is greatly exaggerated to make fun of single men such as himself.
He exposes the aunt’s flaws by telling an improper story that occupies the children.
He exposes the aunt’s hypocrisy and ineffectiveness by being mean to the children.
Answers
Answer:
Its C, and if your looking for a different answer, try the one above this one.
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
I need help on this one to sorry
Answers
Answer:
250 and 250.1
Answer:
250.1
Step-by-step explanation:
5002 divided by 20 equals 250.1
Find the area of this triangle! Round to the nearest tenth!!
Answers
Answer:
180 cmStep-by-step explanation:
Three students were given the expression shown and were asked to take a common factor out of two of the terms. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.
Answers
Answer:
Step-by-step explanation:
Given: 4 - 9x +21
Factorizing this expression, we have;
4 -3(3x - 7)
i. Chang's expression: 4 - 3(3x + 7)
This is not an equivalent expression, because by expansion of the bracket, the expression gives: 4 -9x -21
ii. Benjamin's expression: 4 + 3(3x + 7)
This is not an equivalent expression, because by expansion of the bracket, the expression gives: 4 +9x +21
iii. Habib's expression: 4 + 12x
This is not an equivalent expression, because the expression is not related to the given question
Comparing the three student's answers with the appropriate expression, none of the student's is an equivalent expression.
This expression that is equivalent to the given question is;
4 -3(3x - 7) = 4 -9x + 21
Answer:
1,2,4
Step-by-step explanation:
A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.
Which statement is true about the given information?
∠CED measures 45°.
∠CED measures 180°.
∠AEC measures 90°.
∠AEC measures 45°.
Answers
Answer:
∠AEC measures 90°
Step-by-step explanation:
Angle AED is a "straight angle", so angles AEC and CED are a linear pair. The angles of a linear pair are supplementary, so angle AEC is supplementary to right angle CED:
∠AEC = 180° -∠CED = 180° -90°
∠AEC = 90°
Answer:
The answer is 90
Step-by-step explanation:
I just took the test.
if points p and q are contained in a plane, then pq is entirely contained in that plain
Answers
When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.
What are two or more points if they lie on the same line?A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.
Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.
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Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory.
___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___ Overtime wages were required to produce at levels above 25,000 units.
Answers
The cost per unit actually comes down to 0.8$per unit.
We have given that,
The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
Overtime wages were required to produce at levels above 25,000 units.
What is the cost?
A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.
The cost of production per unit of the item produced is 1$ as long as the total units produced are less than 2500.
If more than 2500 units are produced then the cost per unit actually comes down to 0.8$per unit.
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