Based on the given histogram, the data is skewed with a maximum range of 49.
This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.
One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.
Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.
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Helppp pleaseeee which one
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
'Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 14 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.To the nearest tenth, what is the percent of Container A that is full after the pumping
The nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
To determine the percentage of Container A that is full after the water is pumped into Container B, we need to compare the volumes of the two containers.
The volume of a cylinder can be calculated using the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
For Container A:
Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft
Height (h) = 14 ft
For Container B:
Radius (r) = Diameter / 2 = 10 ft / 2 = 5 ft
Height (h) = 20 ft
Now, let's calculate the volumes of the two containers:
Volume of Container A = π * (6 ft)^2 * 14 ft ≈ 1,679.65 ft^3
Volume of Container B = π * (5 ft)^2 * 20 ft ≈ 1,570.8 ft^3
To find the percentage of Container A that is full, we need to calculate the ratio of the volume of water in Container B to the volume of Container A:
Ratio = Volume of Container B / Volume of Container A
Ratio = 1,570.8 ft^3 / 1,679.65 ft^3 ≈ 0.9347
Finally, to convert this ratio to a percentage, we multiply it by 100:
Percentage = Ratio * 100
Percentage ≈ 0.9347 * 100 ≈ 93.5%
Therefore, to the nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
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A store sells a package of 25 trading cards for $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than $1. What is the unit price per card?
Answer:
21 cent per card
Step-by-step explanation:
5.25 / 25 = .21
because 25 can be divided into the first 2 numbers
Jessica is going to multiply two mixed numbers. 2 1/5 x 8 1/3 Which BEST describes the product of the two mixed numbers? The product will be less than 1 The product will be greater that 1, but less than both factors The product will be greater than both factors The product will be greater than one factor and less than the other factor.
Answer:
less than .1 the product
First thing we do is multiply the mixed numbers.
Let 2 1/5 x 8 1/3 = (11/5)(25/3) = 55/3.
Using a calculator, we know that 55/3 = 18.3333333333 or simply 18.33.
Let's now go to the given choices.
1. The product will be less than 1.
This is not true.
2. The product will be greater that 1, but less than both factors.
This is not true.
3. The product will be greater than both factors.
This is true.
4. The product will be greater than one factor and less than the other factor.
This is not true.
Answer: The product will be greater than both factors.
Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6cm.
Answer:
4√5 cm
Step-by-step explanation:
Connect the two points at which the chord touches the circle to the center - these are radii.
We know that the chord is 4cm from the center of the circle.
So we now have an isosceles triangle with height of 4cm and congruent side lengths of 6cm (see attached diagram for visual representation). An isosceles triangle is made up of 2 congruent right triangles.
To find the length of the chord, all we have to do is calculate the shorter leg of one of the right triangles and multiply it by 2.
Use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle).
Therefore, a² + 4² = 6²
a² + 16 = 36
a² = 36 - 16 = 20
a = √20 = 2√5
So the length of the chord = 2 x 2√5 = 4√5 cm
please help khan academy
The inequality represented by the graph is given as follows:
y > 3x - 4.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:
b = -4.
When x increases by 1, y increases by 3, hence the slope m is given as follows:
m = 3.
Hence the equation of the line is:
y = 3x - 4.
The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:
y > 3x - 4.
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the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
Jamison needs a total of $395 to buy a new bike. He has $35 saved. He earns $15 each week delivering newspapers . How many more weeks will Jamison have to deliver papers to earn enough money for a bike?
An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.
Now, the equation that can represent the situation can be written as,
Cost of the bike = Amount Saved + Earning by delivering newspapers
Substituting the values,
$395 = $35 + $15x
where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,
395 = 35 + 15x
395 - 35 = 15x
360 = 15x
x = 360 / 15
x = 24
Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.
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1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00
Answer:
Step-by-step explanation:
12. The smaller angle between the hands of a clock at 2:00 p.m. is ***
The angle between the hands of a clock at 2:00 p.m is 60 degree.
A degree (in full, a degree of bend, bend degree, or arcdegree), as a rule, signified by ° (the degree image), could be an estimation of a plane angle in which one full turn is 360 degrees .To begin with, note that a clock may be a circle made of 360 degrees, in which each number speaks to a point and the partition between them is 360/12 = 30.
So, at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The proper angle made by it will be 2 * 30 = 60 degrees.
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x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
PLEASE ANSWER. I WILL GIVE BRAINLIEST FAST
Answer:
It is a right triangle
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
x/3 =-8 x=? what does x =?
Answer: -24
Step-by-step explanation:
\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)
8 over 12 divide 7 over 8
Answer: 19/25
Step-by-step explanation: 8/12 / 7/8 is (rounded) 0.76, and 0.76 as a fraction is 19/25.
Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 3 P4(x) =
Answer:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Step-by-step explanation:
Given:
f(x) = ln(x)
n = 4
c = 3
To find:
nth Taylor polynomial for the function, centered at c
Solution:
The Taylor series for f(x) = ln x centered at 3 is:
\(P_{n}(x) = f(c) + \frac{f'(c)}{1!}(x-c)+\frac{f''(c)}{2!}(x-c)^{2} +\frac{f'''(c)}{3!}(x-c)^{3}+...+\frac{f^{n} (c)}{n!}(x-c)^{n}\)
Since c = 3 So,
\(P_{4}(x) = f(3) + \frac{f'(3)}{1!}(x-3)+\frac{f''(3)}{2!}(x-3)^{2} +\frac{f'''(3)}{3!}(x-3)^{3}+...+\frac{f^{n} (3)}{n!}(x-3)^{n}\)
Now
f(3) = ln 3
f'(x) = 1/x ⇒ f'(3) = 1/3
f''(x) = -1/x² ⇒ f''(3) = -1/3² = -1/9
f'''(x) = 2/x³ ⇒ f'''(3) = 2/3³ = 2/27
f\(^{(4)}\) (x) = -6/x⁴ ⇒ f\(^{(4)}\) (3) = -6/3⁴ = -6/81 = - 2/27
So Taylor polynomial for n=4 is:
P₄(x) = ln3 + 1/3 (x-3) - 1/9*2! (x-3)² + 2/27*3! (x-3)³ - 2/27*4! (x - 3)⁴
Round 1.8153001 * 10^4 to 6 significant figures
Answer:
1.81530×10⁴
Step-by-step explanation:
Keep the first 6 digits of the mantissa:
1.81530×10⁴
__
Here, the 7th digit is less than 5, so it and all to the right are dropped.
An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given is the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in the column labelled "xy", may aid in calculations.)
To find the correlation coefficient, we have to use the following formula
\(r=\frac{n\Sigma(xy)-\Sigma(x)\cdot\Sigma(y)}{\sqrt[]{\lbrack n\Sigma(x)^2-(\Sigma(x))^2\rbrack\lbrack n\Sigma(y)^2-(\Sigma(y))^2\rbrack}}\)So, we have to find the sum of all three columns.
\(\begin{gathered} \Sigma(xy)=211.8685 \\ \Sigma(x)=31.62 \\ \Sigma(y)=79.68 \end{gathered}\)The sum of all the x-values to the square power is
\(\begin{gathered} \Sigma(x)^2=92.5414 \\ \Sigma(y)^2=529.7792 \end{gathered}\)Now, we include all the numbers in the formula
\(\begin{gathered} r=\frac{12\cdot211.8685-31.62\cdot79.68}{\sqrt[]{\lbrack12\cdot92.5414-(31.62)^2\rbrack\lbrack12\cdot529.7792-(79.68)^2\rbrack}} \\ r=\frac{2542.422-2519.4816}{\sqrt[]{110.6724\cdot8.448}} \\ r=\frac{22.9404}{30.5771} \\ r\approx0.750 \end{gathered}\)Hence, the correlation coefficient is r = 0.750, approximately.You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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please help! i dont understand this
Answer:
This is called absolute sign | | or something near to that...
Any number inside the | | will always be positive in the output. For example |3|= 3 and also |-3|= 3
|-x| = x (notice that)
That's the bottom line and the idea of this equation
You will substitute with the value of function g(x) in the function f(g(x)) = x
The value of g(x) is known as it states g(x) = -x
So when substituting it's going to be like that
f(-x) = -x (right)?
But notice they told you that
f(x) = |x| so as we stated earlier if it's
Anything inside the | | is always positive
So f(-x) = x ###
Why?
Because when we substitute
|-x| =x
Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits into an annuity that pays 6% interest compounded monthly.
How much should you deposit each month?
Round your answer to the nearest cent. Do not include the dollar sign in the answer box below.
The amount that should be deposited monthly is $286.66.
What is a monthly deposit?The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.
The monthly deposit can be determined using an online finance calculator.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 6%
PV (Present Value) = $0
FV (Future Value) = $20,000
Results:
Monthly Deposit = $286.66
Sum of all periodic deposits = $17,199.36
Total Interest = $2,800.64
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Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
Enter the value that will complete this expression for converting 72 inches to yards
Answer:
the answer is 12 inches
Step-by-step explanation:
there is 1 foot per 12 inches
or
12 inches make a foot
show that f(z) = z is nowhere differentiable ) i.e. there is no point z0 e c such that f1(z0) exists)
The limit of the difference quotient must not exist at any location z0 in the complex plane in order to demonstrate that f(z) = z is nowhere differentiable.
For f(z), the difference ratio is as follows:
[f(z Plus h) - f(z)] / h = [(z + h) - z] / h = h / h = 1
As h gets closer to 0, we take the maximum and obtain:
lim h0 [z + h - z] / = lim h 0 h / h = 1
This limit is constant at 1 and is unaffected by the number of z. The limit of the difference quotient must not exist at any location z0 in the complex plane in order to demonstrate that f(z) = z is nowhere differentiable. As a result, f(z) = z is never differentiable and the limit of the difference quotient is not present at any position z0 in the complex plane.
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5*Please answer this correctly very urgent!
Answer:
1 3/15 - 5/15
Step-by-step explanation:
Hope this helps. PS the / sign is supposed to be for the fraction.
Step-by-step explanation:
1 1/5 - 1/3 = 0.86
Hope I helped. The only way I know how to dot this is in decimal form sorry.
find the numbered angles 1 to10
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer
Write an equation to find x
Answer:
180 - 105 = x-2
hope this helped and brainliest please
What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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A history class is made up of 12 tenth graders and 9 eleventh graders. The tenth graders
averaged 77 on the midterm exam, and the eleventh graders averaged 91 on the midterm
exam. What was the average grade on the midterm exam for the entire class?
Answer:
They average 84%
Step-by-step explanation:
Just add 77 and 91 then divide it by 2. Hope this helps.
Answer:
83 is the correct answer if you just do it by adding 91 and 77 then diving it by 2 you would get 84 that is not what answer they are looking for. Took the test 83 is what they are looking for they want you to do the work.
Step-by-step explanation:
Tenth graders 12*77= 924
Eleventh graders 9*91= 819
924+819= 1,743
12 tenth graders and 9 eleventh graders
12+9 = 21
1,743/21 = 83