A bar chart is a chart or graph that presents categorical data with rectangular bars with weights proportional to the values that they represent. These bars are spaced in between compared to histograms that are not spaced.
According to the given data, the x-axis of the bar graph will be the range of dollars collected by students while the y-axis will represent the number of students in each category.
Using an interval of 5;
From 10 - 15, there are 14 students
From 20 -25, there are 11 students
From 30 - 35, there are 6 students
From 40 - 45, there are 3 students
From 50 upwards, there are 2 students
The equivalent bar chart that represents the data is attached below;
Note that the count is equivalent to the number of students while the categories are the allowance in dollars
What is the length of the missing leg?
Answer:
6
Step-by-step explanation:
\(\sqrt{10^{2} -8^{2} }\) = 6
Answer:
b = 6
Step-by-step explanation:
Pythagorean formula:
a² + b² = c²
Work:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
b² = 100 - 64
b² = 36
\(\sqrt{b^2} =\sqrt{36}\)
b = 6
Sam makes tote bags for a school fundraiser. The fixed costs for making the bags is $30. The cost of the materials for each bag is $8.50. Sam can spend less than a total of $200 on the tote bags. Write an inequality that can be used to determine b , the number of tote bags that can be made.
I need your help with this im confused can you help me please
Answer:
x = 100
Step-by-step explanation:
This problem can be solved if you ignore line DC.
We know that angle FED + angle DEB = angle FEB = 100
Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.
So therefore:
x = AEG = FEB = 100
a graphical tool used to help determine whether a process is in control or out of control is a
A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.
Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.
Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.
In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.
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someone please help
Answer:
B
Step-by-step explanation:
Hi,
Your slope is in front of the x and your y-intercept is what's being added or subtracted. In this case, 4x is your slope, and +1 is your y-intercept which means that B is correct.
I hope this helps :)
find the value of x
m<2 = 9x - 1
Answer: x=9
Step-by-step explanation:
The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.
180=40+40+x
180=80+x
x=100
Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°
180-100=∠2
80°=∠2
The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.
80=9x-1
81=9x
x=9
8.2(6x−3)=7(7x−1.2) solution or no solution or infinite solutions
Answer:
1 solution
Step-by-step explanation:
Hello!
We can solve for x and then determine the number of solutions it can have. If at the end of the solution:
x is equal to a number, then it has 1 solutiona number is equal to the same number, it has infinite solutionsa number is equal a different number, it has no solutionsSolve for x8.2(6x−3)=7(7x−1.2)49.2x - 24.6 = 49x - 8.40.2x - 24.6 = -8.40.2x = 16.2x = 81Since x is equal to a number, it has 1 possible solution.
You buy a new pair of shoes that cost $75. The sale tax rate is 8%.
1. What is the amount of tax?
2. What is the total cost?
Which equations have extraneous solutions?.
A root of a transformed equation that is not the root of the original equation because it was excluded from the original equation's domain is known as an extraneous solution.
What are extraneous solutions?
A "false" solution to an equation is known as an extraneous solution. Even if we appeared to follow sound procedures when solving the equation, an extraneous solution did not fulfill the original equation.
So,
When we solve an equation, an extraneous solution is a result that does not fulfill the equation. As an illustration, if we square both sides of the equation x = -1, we obtain the value x = 1, which does not satisfy the original equation, indicating that x = 1 is an extraneous solution.
when we wanted to solve the equation √x = -1. After squaring both sides, we get a value of x = 1.
When we substitute x = 1 into the original equation, we get:
x = -1 [original equation]
√1 = -1 [substitute x = 1]
1 = -1 [this is not true]
Hence,
This equation is called an extraneous solution.
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a right cylindrical tank is full of water. the tank has a radius of 10 inches. how fast is the height of water in the tank changing if the water is being drained at 34 cubic inches per hour?
The answer is 3/25π m/h.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
v=πr²hThere is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:V=π(5m)2hby solving the equation with the given valueshence,The answer is 3/25π m/h.
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What is mU?
A. 17
B. 29
C. 46
D. 134
Answer:
I think its A
Step-by-step explanation:
because it's a tighter angle than 29,46,and 134 degrees i might not be right but i hope it is :)
The time it takes to set up a circus tent varies inversely with the number E of elephants used. If 4 elephants can set up a tent in 30 hrs how long will it take 2 elephants?
Answer:
It will take 60 hours for 2 elephants to set up the tent.
Step-by-step explanation:
Represent set-up time by T and the number of elephants by E. T varies inversely with E:
T = k/E, or TE = k
If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and
T = 120/E
Now let E = 2. We get T = 120/2, or 60
It will take 60 hours for 2 elephants to set up the tent.
Your teacher wants to use a point system to select the winning pet. She wants each pet to get a certain number of points for each 1st choice vote and a certain number of points for each 2nd choice vote.
Your teacher decides to use these rules for her point system:
Points need to be positive whole numbers
Points for a 1st choice vote have to be greater than or equal to the points for a 2nd choice vote.
Determine point values for the 1st and 2nd choice that would result in the turtle winning. Use words and numbers to explain how this point system results in the turtle winning
In the above case, the possible point system will be:
1st choice vote: 4 points
2nd choice vote: 2 points
What is the point system?In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:
The point got to be positive entire numbersThe point for a 1st choice vote need to be more noteworthy than or rise to to the focuses for a 2nd choice voteLets say:
1st choice vote: 4 points
2nd choice vote: 2 points
Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.
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Suppose y, ... Yn ~ N(u,02), with y known. Use the non-informative prior p(02) « 1/02. Obtain the sampling distribution (likelihood) and the posterior distribution.
To obtain the sampling distribution (likelihood) and the posterior distribution for this scenario, we can use Bayesian inference.
The sampling distribution (likelihood) can be represented as:
p(y|u,02) = (1/sqrt(2*pi*02)^n) * exp(-(1/(2*02)) * sum((yi-u)^2))
where y is the observed data, u is the mean of the normal distribution, and 02 is the variance of the normal distribution.
The non-informative prior for 02 can be represented as:
p(02) « 1/02
Using Bayes' theorem, we can obtain the posterior distribution:
p(u,02|y) = p(y|u,02) * p(02) / p(y)
where p(y) is the marginal likelihood. To simplify the calculation, we can integrate out u from the joint distribution:
p(02|y) = (p(y|02) * p(02)) / p(y)
where p(y|02) is the marginal likelihood for 02:
p(y|02) = (1/sqrt(2*pi*02)^n) * exp(-(n-1)/2)
We can then obtain the posterior distribution for 02:
p(02|y) « 1/02 * exp(-(n-1)/2)
This is a gamma distribution with shape parameter (n-1)/2 and scale parameter 1/2. Therefore, the posterior distribution for 02 is:
02|y ~ Gamma((n-1)/2, 1/2)
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Please help! I will give branliest!
Answer:
There are 6 sections in the spinner.
3 of them are green.
3 of them are red.
So, the theoretical probability of landing on green is 3/6, which is equal to 1/2
And the theoretical probability of landing on red is also 3/6, or 1/2.
Let me know if this helps!
Completa los espacios en blanco: a. 32,53 × __________ = 325,3 e. 62,5 × __________ = 62 500 b. 6,48 × __________ = 64,8 f. 0,71 × __________ = 710 c. 73,21 × __________ = 732,1 g. 0,6 × __________ = 600 d. 58,4 × __________ = 5840 h. 0,09 × __________ = 0,9
Answer:
a. 10
b. 10
c. 10
d. 100
e. 1000
f. 1000
g. 1000
h. 10
Step-by-step explanation:
Completa los espacios en blanco:
a. 32,53 × __________ = 325,3
= 325,3 ÷ 32,53 = 10
b. 6,48 × __________ = 64,8
= 64,8 ÷ 6,48 = 10
c. 73,21 × __________ = 732,1
= 732,1 ÷ 73,21 = 10
d. 58,4 × __________ = 5840
= 5840 ÷ 58,4 = 100
e. 62,5 × __________ = 62 500
= 62500 ÷ 62,5 = 1000
f. 0,71 × __________ = 710
= 710 ÷ 0,71 = 1000
g. 0,6 × __________ = 600
= 600 ÷ 0,6 = 1000
h. 0,09 × __________ = 0,9
= 0.9 ÷ 0.09 = 10
Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.
Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook.
The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.
This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.
For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.
Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.
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Find the difference between 7/10 and 1/5.
Answer:
the answer is \(\frac{7}{2}\)
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
How do you write 3/4 as a percentage? Write your answer using a percent
sign (%). *
your answer
Please fill out this field.
Answer:
the answer is 75%
Step-by-step explanation:
To write 3/4 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 3/4 * 100 = 0.75 * 100 = 75%. And finally we have: 3/4 as a percent equals 75%.
The percentage value of 3/4 is 75%.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The given number is 3/4,
To convert 3/4 in percentage, use percentage property,
1%=1/100
⇒1=100%
⇒3/4= 75%
So 75% is the percentage value of 3/4.
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Given the following piecewise function, evaluate limx→−1f(x).
f(x)=
2x^2−3x−2 if x is less than or equal to -1
−x^2+2x+1 if -1
−2x^2−x−1 if x>2
The solution of the expression will be 3, -2, and -22 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expressions are:-
2x²−3x−2 if x is less than or equal to -1
E = 2x²−3x−2
E = 2 (-1) ² - 3 x -1 -2
E = 2 + 3 - 2
E = 3
E = −x²+2x+1 if -1
E = -(-1)² + 2 x -1 + 1
E = -1 - 2 + 1
E = -2
E = −2x²−x−1
E = -2 ( 3 )² - 3 - 1
E = -18 - 3 - 1
E = -22
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In the figure below, o ll m. Find the values of y and z
Answer: y = 117 and z = 32
Step-by-step explanation:
y: 180 - 63 = 117
z: 180 - 117 (also known as y) = 63 which is the top corner right next to the equation for z, so you do it again. 180 - 63 = 117
then you do 117 + 43 = 160, then 160 divided by 5 = 32
which means that 5(32) - 43 = 117, 5 x 32 = 160 - 43 = 117.
hope this helps
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 8.
The median is the best measure of center, and it equals 7.3.
The mean is the best measure of center, and it equals 7.3.
The median is the best measure of center, and it equals 8.
A dealer mixes 120 liters of milk containing 5% water with 80 liters of milk containing 10 % water. the percentage of water in the mixture is??
9514 1404 393
Answer:
7%
Step-by-step explanation:
Let x represent the percentage of water in the mix. The amount of water in the mix is ...
5%·120 +10%·80 = x·(120 +80)
14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200
The percentage of water in the mixture is 7%.
Plane W and Plane B intersect at which following?
Answer Choices:
A. Line a
B. Line t
C. They do not appear to intersect
D. Line p
Answer:
the answer is (d)!! hope this helps
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Step-by-step explanation:
When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor (here 1.5).
e.g. M (1, 1)
M' should be then (1.5, 1.5).
that eliminates the first and the third answer options.
e.g. J (1, 4)
J' should be then (1.5, 6)
do the second answer option is correct.
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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point -slope form of the line that passes through the given point with the given slope. (4,8,1,8); m= 2.8
The point-slope form of the line that passes through the given point with the given slope is explained below:The formula for the point-slope form of a linear equation is:$$y-y_1 = m(x-x_1)$$where (x1,y1) is a point on the line and m is the slope of the line.
Since we have a four-dimensional point with the given coordinates (4, 8, 1, 8), we'll assume that the first three coordinates (x1, y1, z1) are our point, and the last coordinate is a fourth dimension we don't need for a line in three-dimensional space. So, the given point is (4, 8, 1), and the slope is m=2.8.To find the equation of the line, we can plug in the given values into the point-slope form as follows:$$y - 8 = 2.8(x - 4)$$
This is the point-slope form of the line that passes through the point (4, 8, 1) with slope m=2.8. The equation can be simplified by distributing 2.8 on the right-hand side to get:$$y - 8 = 2.8x - 11.2$$Finally, we can move -8 to the right-hand side of the equation and get the slope-intercept form as:$$y = 2.8x - 3.2$$This is the equation of the line in slope-intercept form, where the slope is 2.8 and the y-intercept is -3.2.
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You cell phone bill is $19.95 a month and $0.30 per text message. Your bill for last month was $94.95. How many text messages did you send or receive?
Answer:
Step-by-step explanation:
94.95-19.95= 74.00
74.00/ 0.30 = about 246 text messages
Answer:
250Step-by-step explanation:
Let the number of text messages be x.
We have following equation as per given:
19.95 + 0.30x = 94.950.30x = 94.95 - 19.950.30x = 75x = 75/0.30x =250Answer: 250 text messages
What is the modal number in points
Answer:
you look at which number comes up the most mode means the number tt comes up the most
Step-by-step explanation:
Sovle for x help !!!!!!!!!
Answer:
C) 115 degrees
Step-by-step explanation:
A line is 180 degrees.
This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.
The angle above that will be 115 and the other will be 65.
Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.