1. The amount of time 26 students spend on their phones on a given day (rounded to the nearest
hour) is recorded as follows.
0, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12
Create a dot plot of the information. *Be sure to label all necessary parts!
Answers
The amount of time 26 students spend on their phones represent by a dot plot:
take the smallest and highest data from the given record. i.e., 0 and 12.As the data given is: 0(1 time), 3(1 time), 4,4(2 times), 5,5(2 times), 6,6,6(3 times), 7,7,7,7(4 times), 8,8,8,8(4 times), 9,9,9(3 times), 10,10,10(3 times), 11,11(2 times) and 12(1 time) occurrence.divide the whole line between 0 to 12 representing the number of hours spent.start dotting out points with their respective data with the number of times one above another( if data is more than one)To learn more about dot plots, follow the below link:
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Answer:
See attachment.
Step-by-step explanation:
A Dot Plot is a graphical display of quantitative data consisting of dots plotted on a simple scale.
If a value occurs more than once, the dots are placed one above the other so that the height of the column of dots represents the frequency for that value.
Given data set:
{0, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12}
Step 1Label the increments on the given line to include the range of data.
Label them -2 to 16 increasing in 1 unit.
Step 2Label the dot plot with a suitable title describing what the dot plot represents.
Place "Time students spent on their phones on one given day (nearest hour)" under the line.
Step 3Count the number of data points for each discrete category:
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Category & \sf Frequency\\\cline{1-2} 0 & 1\\\cline{1-2} 3 & 1\\\cline{1-2} 4 & 2\\\cline{1-2} 5 & 2\\\cline{1-2} 6 & 3\\\cline{1-2} 7 & 4 \\\cline{1-2} 8 & 4 \\\cline{1-2} 9 & 3\\\cline{1-2} 10 & 3\\\cline{1-2} 11 & 2\\\cline{1-2}12 & 1\\\cline{1-2}\end{array}[/tex]
Draw a stack of dots that number high for each category.
(See attachment).
Related Questions
Which values of a make the solution of the equation 3(2x-4)=4(ax-2) positive? Select all that apply
PLEASE HELP!!!!
Answers
Answer:
u did not addd the pic
Step-by-step explanation:
Answer: 1.3660254037844
-0.36602540378444
Step-by-step explanation:
19. Ciara is saving for a video game. The first week, she puts $2 dollars in an
envelope. Each week after that, she puts twice as much in the envelope as
she did the previous week. How many dollars does she save on the 6th
week? How many dollars does she save in all?
Answers
Answer:
On sixth week , she collects 2⁶ = $64.
She saves 2(1+2+4+8+16+32) = $126 in all.
A company sells 1000 packs of cards per day at a price of $5 per pack. With every $0.02 reduction in price, 10 more packs a day are sold. Under these conditions, what is the maximum possible income per day, and what price per pack of cards will produce this income? Include how much extra money is made with this new price structure.
Answers
From the statement, we know that:
0. the company sells 1000 packs of cards per day for $5 per pack,
,1. with every $0.02 reduction in price, 10 more packs a day are sold.
To solve this problem, we define the following variables and functions:
• r = # of price reductions,
• n(r) = # of packs sold by the company as a function of r,
,• p(r) = price per pack (in $) as a function of the # of price reductions,
,• I(r) = income (in $) as a function of the # of price reductions.
Using points 1 and 2, we write the following functions: function of # of packs sold n(r) as:
• the i
[tex]n(r)=1000+10*r,[/tex]• the function of the price per pack p(r):
[tex]p(r)=5-0.02*r,[/tex]• the function for the income I(r) is given by the product of the # of packs sold n(r) and the price per pack p(r):
[tex]I(r)=n(r)*p(r)=(1000+10*r)*(5-0.02*r)=-0.2r^2+30r+5000.[/tex](1) To find the maximum income, we must maximize the function I(r) for r. To do that, we compute and make equal to zero its first derivative:
[tex]I^{\prime}(r)=-0.2*2r+30=0.[/tex]Solving for r, we get:
[tex]\begin{gathered} -0.4r+30=0, \\ 0.4r=30, \\ r=\frac{30}{0.4}=75. \end{gathered}[/tex]We have found that the maximum income is achieved when the # of price reductions is equal to r = 75.
(2) s
[tex]I(75)=-0.2*75^2+30*75+5000=6125.[/tex]We have found that the maximum possible income per day is $6125.
(3) s
[tex]p(r)=5-0.02*75=3.5.[/tex]We have found that the price per pack that maximizes the income is $3.5.
(4) s
[tex]1000*\text{ \$}5=\text{ \$}5000.[/tex]With this new price structure, the company wins $6125 s
Answer• The maximum possible income per day is $6125.
,• The price per pack that maximizes the income is $3.5.
,• The company makes $1125 extra with this new price structure.
Please answer I give brainliest
Answers
Answer:
x= 12
Step-by-step explanation:
8/4 = 2
2x6 = 12
Assume that 600 births are randomly selected and 26 of the births are girls. Use subjective judgment to describe the
number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Choose the correct answer below.
A. The number of girls is significantly low.
B. The number of girls is neither significantly low nor significantly high.
C. The number of girls is significantly high.
D. It is impossible to make a judgment with the given information.
Answers
With the aid of subjective judgment, we can describe the number of girls as; A. The number of girls is significantly low.
How to interpret subjective judgement?Subjective judgement is simply defined as something that is subjective is based on personal opinions and feelings rather than on facts.
Now, we are told to assume that 600 births are randomly selected and 26 of the births are girls.
Now, we see that the total number of births are assumed as 600.
Now, since only 26 of that size are seen to be girls, then it means that;
Percentage that are girls = (26/600) * 100 = 4.33%
Thus, using subjective judgement we see that the percentage that are girls is so low that it is even lower than 5%. Thus, we can say that The number of girls is significantly low.
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is the median and mean equal? if not which is greater, explain your reasoning
Answers
Answer: The median and mean of height of students is not equal, the median is greater.
Step-by-step explanation:
Definition of Median:
Median is the middle value in the picture. To find the median, order the numbers and see which one is in the middle value of the list.
in this picture, first, we order the numbers in numerical order:
1,1,1,2,2,3,3,5,6,6
Find the middle number:
1,1,1,2,2,3,3,5,6,6
As above, 3 is the middle number, then we find which bar represents the median of height of students:
1+1+1+2+2+3 = 10 students
Referring back to the chart, if we add the first 2 bars together, we will get 6+2 = 8 students, but the median number is 10 students, that means the median will be at the third bar, median of height of students = 62-64.
Definition of Mean:
Mean is the sum of the numbers divided by the number of numbers.
In this picture, the Mean will be
(2+6+5+6+3+3+2+1+1+1) / 10
= 3 students
which means the mean height of students = 60-62.
Element X decays radioactively with a half life of 13 minutes. If there are 430 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 6 grams?
Answers
Using an exponential function, it is found that it would take 80.12 minutes for the element to decay to 6 grams.
What is an exponential function?An exponential function is defined according to the following rule:
[tex]y = a(b)^{\frac{t}{n}}[/tex]
In which:
a is the initial value of the function.b is the rate of change of the function.n is the time in which the rate of change occurs.Considering the half life of the substance, and the initial amount of 430 grams, the parameters are given as follows:
a = 430, b = 0.5, n = 13.
Then the amount of the substance after t minutes is given by:
[tex]y = 430(0.5)^{\frac{t}{13}}[/tex]
The time it will take for the element to 6 grams is t when y = 6, hence:
[tex]6 = 430(0.5)^{\frac{t}{13}}[/tex]
[tex](0.5)^{\frac{t}{13}} = \frac{6}{430}[/tex]
[tex]\log{((0.5)^{\frac{t}{13}})} = \log{\left(\frac{6}{430\right)}[/tex]
[tex]\frac{t}{13}\log{0.5} = \log{\left(\frac{6}{430\right)}[/tex]
[tex]t = 13\frac{\log{\left(\frac{6}{430}\right)}}{\log{0.5}}[/tex]
t = 80.12 minutes.
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what determines the type of feedback?
answer asap for brainlist
Answers
Answer:
A
Step-by-step explanation:
if you feel cold your body will tell your brain or give feedback to make you think or say its cold
can somebody quickly answer this?
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Answers
By using conversion factor, if Lorraine prepared a 2.5 gallon pot filled with tomatoes to be canned in jars and each jar will hold 1.25 quarts of tomatoes, then Lorraine can fill 8 jars
The quantity of tomatoes prepared by Lorraine = 2.5 gallon
The quantity of tomatoes can be filled in one jar = 1.25 quarts
We know
1 gallon = 4 quarts
First convert the quantity of tomatoes prepared by Lorraine from gallon to quarts
2.5 gallon = 2.5×4 = 10 quarts
How many jars can Lorraine fill = The quantity of tomatoes prepared by Lorraine/The quantity of tomatoes can be filled in one jar
we have to use division
= 10/1.25
= 8 jars
Hence, if Lorraine prepared a 2.5 gallon pot filled with tomatoes to be canned in jars and each jar will hold 1.25 quarts of tomatoes, then Lorraine can fill 8 jars
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Write an equation of the line passing through the point A(3,-1) that is parallel to the line y=1/3x+10
Answers
Answer:
[tex]y+1=\frac{1}{3}(x-3)[/tex]
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the line we want to find is 1/3.
Using point-slope form, the equation is
[tex]y+1=\frac{1}{3}(x-3)[/tex]
h(t) = − 4.9 t^2 + 226t + 283
Answers
The Maximum height of the object is 2888.9 feet which is at 23.06 seconds
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let h represent the height of an object after t seconds. Given that:
h(t) = -4.9t² + 226t + 283
The maximum height is at h'(t) = 0, hence:
h'(t) = -9.8t + 226
-9.8t + 226 = 0
9.8t = 226
t = 23.06 s
h(23.06) = -4.9(23.06)² + 226(23.06) + 283 = 2888.9
Maximum height is 2888.9 ft
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if g(x)=2x+x, what is g(7)?
Answers
Answer:
g(7) = 21
Explanation:
To calculated g(7), we need to replace x by 7 in g(x) as:
[tex]\begin{gathered} g(x)=2x+x \\ g(7)=2(7)+7 \\ g(7)=14+7 \\ g(7)=21 \end{gathered}[/tex]Therefore, g(7) is equal to 21
Which of the following rational fractions is graphed below?
Help please!
Answers
The following rational fractions is graphed below?
f(x) = 1/ is the rational function seen in the given graph (x - 4)
How Are Graphs of Asymptotes Functions Interpreted?
The vertical asymptote of the graph is located at x = 4.
Let's determine each function's vertical asymptote.
We set the denominator equal to 0 to determine the vertical asymptote.
A) x + 4 = 0\sx = -4
That's incorrect
B) 4x = 0 x = 0 Invalid
C) The denominator is erroneous since it lacks a variable.
D) x - 4 = 0\sx = 4
So, this is true.
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determine the coordinates of S(-7,1)after a reflection in the line y=3
Answers
This just means that the y coordinate will always be 3 for all coordinates of x that means that the y coordinate of the point ( -7,1) will change to
(-7,3)
Given f(x) = x³ + kx + 13, and the remainder when f(x) is divided by x + 1 is
22, then what is the value of k
Answers
The value of k = -10 in f(x).
What is polynomial?Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.
What is remainder?The amount "left over" after a calculation is the remainder. The integer that remains after multiplying one integer by another to create an integer quotient is known as the remnant in mathematics.
Given that,
f(x) = x³ + kx + 13
The remainder when f(x) is divided by x + 1 is 22,
Here, the f(x) is divided by x+1
Hence, x = -1
Substitute x = -1 in f(x)
22 = f(x) = x³ + kx + 13
22 = f(-1) = (-1)³ + k(-1) + 13
22 = -1 –k +13
22 = -k +12
K = -10
Therefore, the value of k = -10 in f(x).
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DEEPER The scales shown are used to compare the weights of apples, tangerines, grapefruits, and bananas. How many tangerines
will balance one apple?
Justify your answer using a linear system. Let the weights of apples, tangerines, grapefruits, and bananas be represented by a, t,
g, and b respectively.
Equation for first picture:
Equation for second picture:
Equation for third picture:
Answers
Using a system of equations, it is found that 4 tangerines will balance one apple.
The equations are given as follows:
First balance: a + t = g.Second balance: b + t = a.Third balance: 2g = 3b.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable a: weight of an apple.Variable t: weight of a tangerine.Variable g: weight of an grapefruit.Variable b: weight of an banana.For the first picture, one apple and one tangerine balance one grapefruit, hence:
a + t = g.
For the second picture, one banana and one tangerine balance one apple, hence:
b + t = a.
For the third picture, two grapefruits balance three bananas, hence:
2g = 3b.
g = 1.5b.
Replacing on the first equation, we have that:
a + t = 1.5b.
From the second equation, we have that:
b = a - t.
Hence, replacing on the first:
a + t = 1.5(a - t)
1.5a - 1.5t = a + t
0.5a = 2t
a = 4t
Hence 4 tangerines will balance one apple.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answers
Answer:
(4,8) x=4/y=8
Step-by-step explanation:
the four is the x line and the 8 the y line.
4 laying down line to the right (positive four)
8 straight up line top(positive 8)
I have to determine whether the equation 3(4g+6) = 2 (6g+9) has one solution, no solution, infinitely many solutions. the equation has a: one solution b: no solution c: infinitely many solutions g=
Answers
Answer
Option C is correct.
The equation has infinitely many solutions.
Explanation
To know the nature of the solutions, we need to solve the given equation
3 (4g + 6) = 2 (6g + 9)
12g + 18 = 12g + 18
12g - 12g = 18 - 18
0 = 0
Any equation that results in 0 = 0, is known to have infinitely many solutions because any number will fit in for g and still work for the given equation.
Hope this Helps!!!
Please hurry due today
Which relation is a function?
Answers
Stephen subtracts 3.48 from 154.2 and gets an answer of 119.4. Use estimation to explain how you know Stephen's answer is incorrect. Then, explain a strategy Stephen could use to solve this problem.
Answers
1. Using estimation shows that Stephen's answer is incorrect because when the whole number 3 is subtracted from 154, it gives 151 and not 119. The actual result should be between 150 and 151.
2. The strategy that Stephen could use to solve this subtraction problem is an approximation. Approximately, 3.48 is 3.5, but for a quick estimation, the decimals are eliminated or appropriated.
What is estimation?Estimation means a rough calculation or an approximation.
Estimation provides a quick means of arriving at number solutions without going into detailed calculations.
Estimates are used for decision-making when complete information is not required or available.
The minuend = 154.2
The subtrahend = 3.48
The estimated value of the minuend reduces it to 154.
The estimated value of the subtrahend reduces it to 3.
Using estimation, the difference = 151 (154 - 3)
Actual difference = 150.72 (154.2 - 3.48)
The actual difference can be approximated to 151.
Thus, using appropriate estimation, Stephen can easily solve this subtraction problem without difficulty.
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I need help ASAP, thanks
Answers
ANSWER
x = 4 or x = -9
STEP-BY-STEP EXPLANATION:
As you can see from the question provided, you were given the following logarithms equation
[tex]\log _6x+log_6(x\text{ + 5) = 2}[/tex]Recall that,
[tex]\text{Log}_xA+log_xB=Log_x(A\text{ x B)}[/tex][tex]\begin{gathered} \text{Let} \\ \log _xA=log_6x \\ \log _xB=log_6(x\text{ + 5)} \end{gathered}[/tex]The next thing is to replace the values and simplify
[tex]\begin{gathered} \log _6x(x\text{ + 5) = 2} \\ x(x+5)=6^2 \\ \text{Open the parenthesis} \\ x^2\text{ + 5x = 36} \\ x^2\text{ + 5x - 36 = 0} \end{gathered}[/tex]As you can see from the last process, the logarithms function resulted in a quadratic equation.
The next thing is to solve the equation using the factorization method.
Note that, the general quadratic function is given below as
[tex]ax^2\text{ + bx + c = 0}[/tex]Relating the two equations, you will have the following data
• a = 1
,• b = 5
,• c = -36
The next thing is to find the value of ac
[tex]\begin{gathered} ac\text{ = 1 }\cdot\text{(-36)} \\ ac\text{ = -36} \end{gathered}[/tex][tex]\begin{gathered} x^2\text{ -4x + 9x - 36 = 0} \\ x(x\text{ - 4) + 9(x - 4) = 0} \\ (x\text{ - 4) (x + 9) = 0} \\ (x\text{ - 4) = 0 or (x + 9) = 0} \\ x\text{ - 4 = 0 or x + 9 = 0} \\ x\text{ = 0 + 4 or x - 9 = 0} \\ x\text{ = 4 or x =-9} \end{gathered}[/tex]Hence, the values of x are 4 and -9
Find the answer to the green box give your answer in simplest form
Answers
Apply right triangle proportions:
[tex]\frac{16}{x}=\frac{x}{20}[/tex]20 (16) = x (x)
320 = x^2
√320 = x
x = 8√5
Can you please help me with this question please
Answers
Given model is
[tex]A=8000+8000(0.045t)[/tex]Substitute A=12981 to find the value of t, we get
[tex]12981=8000+8000(0.045t)[/tex]Subtracting 8000 from both sides, we get
[tex]12981-8000=8000+8000(0.045t)-8000[/tex][tex]4981=8000(0.045t)[/tex]Multiplying 8000 and 0.045, we get
[tex]4981=360t[/tex]Dividing both sides by 360, we get
[tex]\frac{4981}{360}=\frac{360t}{360}[/tex][tex]t=13.8361[/tex]Round off nearest tenth, we get
[tex]t=13.8\text{ years}[/tex]Hence it would take 13. 8 years for the loan amount to $ 12981.
Apply the distributive property to the expression 5(2 + y) to produce an equivalent expression.
Answers
Answer:
10+5y
Step-by-step explanation:
5(2+y)
distribute
=5(2)+5(y)
simplify
=10+5y
Which two lines are parallel?
The point (10, y) also lies on line A.
What number does y stand for?
The point (x, 21) also lies on line B.
What number does x stand for?
Answers
a. The slopes of lines C and B are the same, therefore, they are parallel.
b. y = 30
c. x = 11
How to Find the Slope of a Line?The slope of a line (m) = change in y/change in x.
Two lines having the same slope (m) value means they are parallel to each other.
a. Slope of line A = change in y/change in x = (9 - 0)/(3 - 0) = 9/3
Slope of line A = 3
Slope of line B = (15 - 1)/(8 - 1) = 14/7
Slope of line B = 2
Slope of line C = (21 - 3)/(12 - 3) = 18/9
Slope of line C = 2
Slope of line D = change in y/change in x = (14 - 2)/(9 - 1) = 12/8
Slope of line D = 3/2
Lines C and B have the same slope, therefore they are parallel.
b. 3 = (9 - y)/(3 - 10)
3 = (9 - y)/-7
-21 = 9 - y
-21 - 9 = -y
-30 = -y
y = 30
c. 2 = (15 - 21)/(8 - x)
2 = -6/(8 - x)
2(8 - x) = -6
16 - 2x = -6
-2x = -6 - 16
-2x = -22
x = 11
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Please help me I was sick today and missed out on class and I don’t understand this question
Answers
I hope this is clear enough , although I did not arrive at the same answer using x in both equation .
is the quotient of two natural numbers is always a rational number a true or false statement
Answers
Answer:
True
Step-by-step explanation:
About how much is 1224.53 divided by 36.02?
Answers
If you want an exact answer it is
33.9958356
F(x)=(1/2)=2^x
exponential functions
Answers
[tex] \frac{1}{2} = {2}^{x} \\ {2}^{ - 1} = {2}^{x} \\ x = - 1[/tex]
ATTACHED IS THE SOLUTION
Please help with the following question:
Answers
Using it's concept, the probabilities are given as follows:
a) Type A die and orange: 1/10 = 0.1.
b) Blue: 23/30
c) Type B, if blue: 8/23.
What is a probability?A probability is calculated as the number of desired outcomes in the experiment divided by the number of total outcomes in the experiment.
For item a, the probability that a type A dice is chosen is:
3/5.
As there are 5 dices, 3 of type A and 2 of type B.
The probability that a type A dice comes up orange is:
1/6.
As it has six faces, one of which is orange.
Then the probability of an orange type A dice being chosen is:
3/5 x 1/6 = 1/10 = 0.1.
For item b, the probability of blue is divided as follows:
5/6 of 3/5 -> type A.4/6 of 2/5 -> type B.Hence the probability of a blue dice is:
p = 5/6 x 3/5 + 4/6 x 2/5 = 23/30
For item c, we apply the conditional probability, hence the probability is given as follows:
p = (4/6 x 2/5)/(23/30) = (8/30)/(23/30) = 8/23.
Dividing the probabilities of type B and blue by the probability of blue.
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