A teacher asked her students how many pets they own. Here
are the results:
0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8
On a piece of paper, draw a dot plot to represent the data.
Then determine which answer choice matches the dot plot
you drew.
Answers
Step-by-step explanation:
the answer is (c)
because 0 is 3 in number,
1 is 4 in number,
2 is 3in number
3 is 2 in number,
4 is 2 in number,
no 5,6,7
8 is 1 in number
and no 9
The dot plot ( C )is solved and each dot represents one student's response
What is a dot plot?A dot plot, also known as a dot chart or dot graph, is a type of data visualization that displays the frequency of values in a dataset. It is a simple graphing technique that uses dots to represent data points on a horizontal or vertical axis.
Each data point in the dataset is represented by a dot placed above the corresponding value on the axis. If there are multiple data points with the same value, the dots are stacked vertically above that value. The resulting plot shows the distribution of data points along the axis, with the height of the stack of dots representing the frequency of each value.
Given data ,
Let the data of the number of pets owned by student be represented as A
Now , the value of A = { 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8 }
The frequency of 0 = 3
The frequency of 1 = 4
The frequency of 2 = 3
The frequency of 3 = 2
The frequency of 4 = 2
The frequency of 8 = 1
In this dot plot, each dot represents one student's response. The number on the left indicates how many pets the students reported owning, and the dots are arranged vertically above that number.
For example, three students reported owning 2 pets, so there are three dots arranged above the number 2. This type of plot is useful for displaying the frequency of different values in a dataset.
Hence , the dot plot is solved
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Related Questions
Complete the recursive formula of the geometric sequence 56, -28, 14, -7,....
Answers
Step-by-step explanation:
each term in the sequence is half of the value of the previous term, and in the opposite sign.
therfore, the quotient between terms is (-2)
so, to get one term from the previous term, we multiply by 1/(-2), so:
d(n) = d(n-1) × 1/(-2)
the first term is 56 so d(1)=56
Answer:
56 and -1/2
Step-by-step explanation:
khan
. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the smaller bottle holds.The length of the larger bottle is 10cm.the length of the smaller bottle is 5cm
Answers
Answer:
The smaller bottle holds 12.5 ml of perfume.
====================
GivenTwo bottles of similar shape;Larger bottle has volume of 100 ml;The length of larger bottle is 10 cm;The length of smaller bottle is 5 cm.To find The volume of smaller bottle.SolutionFind the scale factor, the ratio of corresponding dimensions:
[tex]k = 5/10 = 1/2[/tex]We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:
[tex]V_{small}/V_{large} = k^3\\[/tex]Substitute the known values and find the volume of small bottle:
[tex]V_{small}/100= (1/2)^3\\[/tex][tex]V_{small}/100= 1/8[/tex][tex]V_{small}= 1/8*100=12.5[/tex]The smaller bottle holds 12.5 ml of perfume.
The smaller bottle holds 12.5 ml of perfume.
I solved it and came with this result.
What is the solution to the following system?
4x+3y-z=-6
6x-y+3z=12
8x+2y+4z=6
x= 1, y = -3, z = -1
x= 1, y=-3, z = 1
x = 1, y = 3, z = 19
x = 1, y = 3, z = -2
Answers
The solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have three linear equations in three variable:
4x + 3y - z = -6 ..(1)
6x - y+ 3z = 12 ..(2)
8x + 2y + 4z = 6 ...(3)
From the equation (1)
[tex]\rm x=\dfrac{-6-3y+z}{4}[/tex]
Substitute the above value in the equation (2) and (3):
[tex]\rm 6\cdot \dfrac{-6-3y+z}{4}-y+3z=12\\\\ 8\cdot \dfrac{-6-3y+z}{4}+2y+4z=6[/tex]
After simplification:
[tex]\rm -11y+9z-18=24\\ -4y+6z-12=6[/tex]
After solving the above two equations by substitution method:
z = 1
y = -3
Plug the above two values in the equation (1), we get:
x = 1
Thus, the solutions are x = 1, y = -3, z = 1 after solving with substitution method option second x= 1, y=-3, z = 1 is correct.
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y=2x^2-4x-3
Solve quadratic questions
Answers
By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
How to find the roots of a quadratic equation
All quadratic equations of the form a · x² + b · x + c = 0 have two roots that can be found by using the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}[/tex] (1)
If we know that a = 2, b = - 4 and c = - 3, then the roots of the quadratic equations are:
[tex]x = \frac{4 \pm \sqrt{(-4)^{2}-4\cdot (2) \cdot (- 3)}}{2\cdot (2)}[/tex]
[tex]x = 1 \pm \frac{\sqrt{40}}{4}[/tex]
[tex]x = 1 \pm \frac{\sqrt{10}}{2}[/tex]
By applying the quadratic formula we conclude that the roots of the quadratic equation y = 2 · x² - 4 · x - 3 are 1 + 0.5√10 and 1 - 0.5√10, respectively.
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Giving a test to a group of students, the grades and gender are summarized below
Grades vs. Gender
A B C
Male 17 18 5
Female 12 3 14
If one student was chosen at random,
find the probability that the student was female.
Probability = (Round to 4 decimal places)
Answers
Can y’all please help me with this ! Everybody have a good day!
Answers
Answer: A. She substituted incorrectly into the distance formula
She should be subtracting x from x and y from y but she is subtracting y from x.
Write a function rule for the table.
Days
1
2
3
4
Cost to Rent a Truck
29
47
65
83
Answers
Answer:
can you give upload the pictures
Here it is: y = 18x + 11
solve the following inequality, algebra 1.
will give brainliest answer !!
Answers
Answer:
See below
Step-by-step explanation:
r/6 <-6 multiply both sides by 6 to get
r < - 36
or 4r+2 > 18 subtract 2 from both sides of the equation
4r > 16 divide both sides by 4
r > 4
Step-by-step explanation:
[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]
[tex]4r + 2 > 18 \: \: \: \: \: \: \: \: \: \: ...2[/tex]
Solving for inequality 1:
[tex] \frac{r}{6} < - 6 \: \: \: \: \: \: \: \: \: \: ... 1[/tex]Multiplying both sides by 6:
6 * 1/6 r < -6*6r < -36Hence the solution is r < -36
Solving for inequality 2:
4r + 2 > 18Subtract 2 from both sides:
4r + 2 - 2 > 18 - 24r > 16Divide both sides by 4:
[tex] \cfrac{4r}{4} > \cfrac{16}{4} [/tex][tex]r > 4[/tex]Hence the answer is r > 4.
An electrical resistor is rated at 4500 ohms ± 3%. Express this tolerance in ohms and state the
actual range of resistance.
Answers
Answer:
Range = 4365-4635
Step-by-step explanation:
4500 * 3/100 = 135
4500 + 135 = 4635
4500 - 135 = 4365
Range = 4365-4635
The actual range of resistance is from 4365 ohms to 4635 ohms.
How to determine the tolerance in ohms and state the actual range of resistance.To express the tolerance in ohms, we need to calculate 3% of the rated resistance, which is 4500 ohms.
Tolerance in ohms = 3% of 4500 ohms
Tolerance in ohms = 0.03 * 4500
Tolerance in ohms = 135 ohms
The actual range of resistance can be found by adding and subtracting the tolerance from the rated resistance:
Lower limit = Rated resistance - Tolerance
Lower limit = 4500 ohms - 135 ohms
Lower limit = 4365 ohms
Upper limit = Rated resistance + Tolerance
Upper limit = 4500 ohms + 135 ohms
Upper limit = 4635 ohms
So, the actual range of resistance is from 4365 ohms to 4635 ohms.
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X -6,-3,0,3,6 y 0 1 2 3 4 which equation contains the coordinate parts given in the table
Answers
The linear equation that contains the coordinate parts in the given table is: y = 1/3x + 2.
How to Find the Equation of a Linear Equation?To find the linear equation that contains the coordinate parts in the table given, find the slope (m) and y-intercept (b), then substitute the values into y = mx + b.
Slope (m) using two coordinate parts, (0, 2) and (3, 3):
Slope (m) = change in y / change in x = (3 - 2)/(3 - 0)
Slope (m) = 1/3
y-intercept (b) = 2 [this is the value of y when x = 0)
Substitute the values into y = mx + b
y = 1/3x + 2.
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need help with this question im stuck
Answers
Answer:
answer is B. 100°
Step-by-step explanation:
if correct please I need brainlist
Answer:
100°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.
The 80° angle and angle x are opposite each other, so:
x + 80° = 180°
x = 180° - 80°
x = 100°
PLEASE HELP I WILL GIVE BRAINLEST!!!!!!
Below is the graph of a polynomial function with real comedic fangs. All local extreme of the function are shown in the graph.
Use the graph to answer the following questions.
(a) over which intervals is the function decreasing? Choose all that apply.
(-∞,-8) (-8,-4) (-4,0) (0,5) (-4,5) (9, ∞)
(b) At which x-values does the function have local minima? If there is more than one value seepage them with commas.
(C) what is the sign of the function’s leading coefficient?
Answers are positive, negative, not enough time
(D) which of the following is a possibility for the degree of the function? Choose all that apply
4 , 5 , 6 , 7 , 8 , 9
Answers
Part (a)
Decreasing means that as x increases, y decreases.
So the intervals are [tex](-8, -4), (0, 5), (9, \infty)[/tex]
Part (b)
A local minimum is where the function changes from decreasing to increasing.
So, the local minima are at [tex]x=-4, 5[/tex]
Part (c)
The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative
Part (d)
The degree is given by the number of roots (including multiplicity).
From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.
Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)
However, since the graph has the same end behavior in both directions, the degree must be even.
So, the possible answers are any even number that is at least 6
[tex]\frac{1}{28} + \frac{1}{70} + \frac{1}{130} + \frac{1}{208} + \frac{1}{304} = ?[/tex]
Evaluate this expression.
Answers
Considering the least common multiple of the denominators, it is found that the result of the expression is given by:
[tex]\frac{9100}{138320}[/tex]
How do we add fractions?We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.
In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.
Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:
[tex]\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}[/tex]
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Which sequences are geometric? Check all that apply.
5, 10, 20, 50,...
3, 12, 48, 192,...
3, 15, 75, 375,...
8, 15, 75,375,...
14, 21, 28, 35,...
17, 20, 23, 26,...
2, 10, 50, 250,...
Answers
Answer:
The first, third and last sequences
Assume that the function f is a one-to-one function.
a. if f(3)=9, find ^-1 (9)
b. if f^-1(-8)=-9 , find f(-9)
Answers
Answer:
a. 3
b. -8
Step-by-step explanation:
let me know if you want an explanation
Alaric wants to determine if he can get a better grade in math by studying for longer periods of time.
He plans to experiment for 4 weeks.
Which statement is true of this experiment?
a.) The duration of Alaric's experiment is the explanatory variable.
b.) Alaric's math grade is the explanatory variable.
c.) The amount of time Alaric spends studying is the response variable.
d.) Alaric's math grade is the response variable.
Answers
The statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
What is an explanatory variable?It is defined as the variable which is independent. They show the expected results and the result is known as the response variable which is dependent on the explanatory variable.
We have given:
Alaric wants to determine if he can get a better grade in maths by studying for longer periods of time.
The duration of the experiment is 4 weeks which is known or constant.
But the number of hours she studied is a variable, and it is independent.
The maths grade is the dependent variable which is on the number of hours Alaric study variable.
Thus, the statement (d) Alaric's maths grade is the response variable is correct because maths grade is a dependent variable.
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Solve 8x + c = k for x.
A. x=8(k-c)
OB. x=
_k+c
8
O C. x = 8(k+c)
O D. x=
k-c
8
Answers
Answer: [tex]x=\frac{c-k}{8}[/tex]
Step-by-step explanation:
[tex]1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}[/tex]
determine weather y varies directly with x. if so, find the constant variation and write the equation
Answers
Answer:
Yes, k = 1/3 and y = 1/3x
Step-by-step explanation:
[tex]\text{The given line passes through the origin, hence it has equation of the form:}\\y=kx[/tex]
[tex]\text{Therefore y varies directly as x.}The line passes through the point (3,1)}[/tex]
[tex]\text{This implies that,}[/tex]
[tex]1=k(3)\\k=\frac{1}{3}[/tex][tex]\text{Hence the constant of variation is}[/tex] ⇒ [tex]\frac{1}{3}[/tex]
The equation would be ⇒ [tex]y=\frac{1}{3} x[/tex]
Construct the truth table and determine the truth value of the following compound statement.
a)p⟾¬(p ʌ r)
b) (q ʌ r) ⟾(p ⇔ q)
Answers
See the attached truth tables.
• A ∧ B is true only when both A and B are true
• A ⇒ B is true only when both A and B are true, or A is false. This logically equivalent to ¬A ∨ B
• ¬A is true only when A is false
• A ⇔ B is true only when both A ⇒ B and B ⇒ A are true. Equivalently, (¬A ∨ B) ∧ (¬B ∨ A)
Out of 310 racers who started the marathon, 289 completed the race, 18 gave up, and 3 were disqualified. What percentage did not complet
Answers
Answer:
7.1%
Step-by-step explanation:
Those that did not complete the race either gave up or were disqualified. This means that 18 + 3 = 22 people did not complete the race. The percentage is 22/310 × 100% = 7.1%
Two vertical angles are complementary. Statement is always, sometimes, or never true. Explain your reasoning
Answers
Answer:
depends upon the degree of the angle
Step-by-step explanation:
vertically opposite angles are always equal like
80 = 80 sum is equal to 160 degrees not equal to 90
45 = 45 , sums equal to 90 degrees ,equal to 90
30 = 30 sum is equal to 60 degrees, not equal to 90
so we can say it depends what is the no of degrees if it is 45 only we can say the vertically opposite angles are complementary angle
The formula M = 5/8 K gives the approximate distance in miles as a function of kilometers. Use the inverse to express 25 miles in kilometers.
Answers
8/5 M = 8/5 x 5/8 K = K
K = 8/5 x 25 = 40 km
The exterior angles of a triangle are (2x+10),(3x+15)and (4x+20). What is the value of x and what is the largest interior angle of the triangle?
Answers
Answer:
x = 35 and 100°
Step-by-step explanation:
the sum of the exterior angles of a triangle = 360° , then
2x + 10 + 3x + 15 + 4x + 20 = 360 , that is
9x + 45 = 360 ( subtract 45 from both sides )
9x = 315 ( divide both sides by 9 )
x = 35
then each exterior angle is
2x + 10 = 2(35) + 10 = 70 + 10 = 80°
3x + 15 = 3(35) + 15 = 105 + 15 = 120°
4x + 20 = 4(35) + 20 = 140 + 20 = 160°
the sum of an exterior angle and corresponding interior angle = 180°
then
180° - 80° = 100°
180° - 120° = 60°
180° - 160° = 20°
the largest interior angle of the triangle is 100°
Answer:
x = 35
largest interior angle = 100°
Step-by-step explanation:
The exterior angles of a triangle sum to 360°
⇒ (2x + 10) + (3x + 15) + (4x + 20) = 360
⇒ 2x + 10 + 3x + 15 + 4x + 20 = 360
⇒ 9x + 45 = 360
⇒ 9x = 315
⇒ x = 35
Therefore, the three exterior angles are:
(2x + 10) = 2(35) + 10 = 80°(3x + 15) = 3(35) + 15 = 120°(4x + 20) = 4(35) + 20 = 160°If the side of a triangle is extended, the angle formed outside the triangle is the exterior angle. As angles on a straight line sum to 180°:
⇒ interior angle + exterior = 180°
So the largest interior angle will be the supplementary angle to the smallest exterior angle.
The smallest exterior angle is 80°, so:
⇒ largest interior angle + 80° = 180°
⇒ largest interior angle = 180° - 80°
⇒ largest interior angle = 100°
There are 60 students studying Sciences (Biology, Chemistry or Physics). 7 students study Biology, Chemistry and Physics. 12 students study Biology and Chemistry. 15 students study Biology and Physics. 20 students study Chemistry and Physics. 35 students study Biology. 32 students study Physics. B Complete the Venn diagram. E P C There are 60 students studying Sciences ( Biology , Chemistry or Physics ) . 7 students study Biology , Chemistry and Physics . 12 students study Biology and Chemistry . 15 students study Biology and Physics . 20 students study Chemistry and Physics . 35 students study Biology . 32 students study Physics . B Complete the Venn diagram . E P C
Answers
Answer:
8 in the box.
Step-by-step explanation:
As, it is given that 35 students study Biology.
So, in Biology circle,
15+7+5+x=35
27+x=35
x=35-27
x=8
Which of the following are square roots of the number below? Check all that
apply.
4
A. 41/2
B. 8
C. -41/2
D. 2
E. -2
F. 16
Answers
Answer:
D. 2
E. -2
Step-by-step explanation:
look at the picture
Answers
Answer:
The x-intercept is 2.
Step-by-step explanation:
[tex]2 \sqrt[3]{x - 10} + 4 = 0[/tex]
[tex]2 \sqrt[3]{x - 10} = - 4[/tex]
[tex] \sqrt[3]{x - 10 } = - 2[/tex]
[tex]x - 10 = - 8[/tex]
[tex]x = 2[/tex]
Solve the equation x³ - 5x²+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x²+2x+8.
The solution set is? (Use a comma to separate answers as needed.)
Answers
Answer:
added in the picture
Step-by-step explanation:
added in the picture
Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.
Answers
Answer:
6.3 *30= 189; so 4 cotton swabs
Which function is represented by this graph? A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through (negative 6, 10), (0, 4), (4, 0) to (7, negative 3), and then it rises through (10, 0). A. f(x) = |x + 7| − 3 B. f(x) = |x − 7| − 3 C. f(x) = |x + 3| − 7 D. f(x) = |x − 3| − 7
Answers
The line that represents the graph satisfying all condition is f(x) = |x − 7| − 3.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
As, the points are given.
We have to find which equation satisfies all the points.
f(x) = |x − 7| − 3
put x= -6
y= 13-3 = 10
Similarly by putting all the values the only condition that satisfies is
f(x) = |x − 7| − 3
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One positive number is 8 times another number. Their difference is 70.
Which of the following equations could be used to find the numbers?
Answers
Answer:
X equals 10.
8x - x = 70
Step-by-step explanation:
8 x 10 = 80
80 - 10 = 70
