What is the shape of the following distribution?
{9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20}
negative skew
postive skew
symmetric
asymmetric with no skew
none of the above
Answers
On basis of this frequency table we can construct a histogram to visualize the data. The histogram is constructed and attached with. We can observe that the peak is at 4. There are fewer values on right side of the peak as compared to the left side of the peak. So more values tend to lie in left tail.
When there are more values in left tail we say that the data is left skewed or negatively skewed. So first option is the correct answer.
The distribution is positively skewed, as indicated by the longer tail on the right side of the dataset representing higher values.
The shape of the distribution for the dataset {9, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 20} can be determined by looking at the tail of the distribution. Since the values gradually increase and then have a longer tail towards the higher numbers (with the largest values occurring less frequently), we can identify this as a positively skewed distribution. The distribution does not display symmetry, and the tail extends more significantly to the right, which is indicative of a positive skew. This is because the bulk of the data is located on the left side (lower values), while the right side (higher values) stretches out longer due to the presence of outliers or a gradual decrease in frequency.
Related Questions
A $25,000 purchase decreases 12% in value per year. Determine the values of the purchase after 3 years and after 7 years.
Answers
After the 7 years, the depreciation amount is $1,393.22 and the value is $10,217.05
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice 35- x/4 =x/3
Answers
12(35 - x/4) = 12(x/3)
420 - 12x/4 = 12x/3
420 - 3x = 4x
Add 3x to both sides:
420 = 7x
Divide 7 to both sides:
x = 60
35 - x/4 = x/3
subtract x/3 from both sides
35 - x/4 - x/3= 0
need a common denominator
4 & 3 go into 12
35 - (4/12x) - (3/12x)= 0
35 - 7/12x= 0
subtract 35 from both sides
-7/12x= -35
multiply by -12/7 to eliminate fraction
(-12/7)(-7/12x) = (-35)(-12/7)
x= (-35 * -12)/7
x= 420/7
x= 60
Check:
35 - x/4 = x/3
35 - 60/4= 60/3
35 - 15= 20
20= 20
Hope this helps! :)
what is the following product? ^3√24 x ^3√45
Answers
= ∛1080
= 6∛5
answer
C. 6(∛5)
The simplified value of the product of [tex]\sqrt[3]{24}\times\sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We know when we have the same radical we can simply multiply the values.
Given, [tex]\sqrt[3]{24}\times\sqrt[3]{45}[/tex].
= [tex]\sqrt[3]{24\times45}[/tex].
= [tex]\sqrt[3]{2\times2\times2\times3\times3\times3\times5}[/tex].
= [tex]2\times3\sqrt[3]{5}[/tex].
= [tex]6\sqrt[3]{5}[/tex].
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If a skateboard is 2 1/2 feet long, what is the length of 4 skateboards in yards?
Answers
Since each skateboard is 2 1/2 feet long, we can multiply that by 4 to get 10.
2 1/2 * 4 = 10
We then convert this into yards.
One yard is equal to 3 feet, so we should divide 10 by 3 to get our answer.
10/3=3 1/10
Our final answer is 3 1/10 yards.
The length of 4 skateboards is 3 2/3 yards.
What is the length of 4 skateboards in yards?The first step is to convert feet to yards.
1 feet = 1/3 yards
5/2 x 1/3 = 5/6 yards
The second step is to multiply 5/6 yards by 4
5/6 x 4 = 20 / 6 = 3 2/3 yards
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HELP PLEASE! −3.64⋅|−5.3|−1.53 what is the anwser?
Answers
The expression simplifies to approximately -20.822. It involves multiplying -3.64 by the absolute value of -5.3 and then subtracting 1.53 from the result.
To calculate this expression, follow the order of operations (PEMDAS),
which stands for Parentheses, Exponents, Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).
In expression, there are no parentheses or exponents, so we proceed with multiplication and then subtraction:
-3.64 × |-5.3| - 1.53
Calculate the absolute value of -5.3, which is 5.3.
Multiply -3.64 by 5.3.
Finally, subtract 1.53 from the result.
-3.64 × 5.3 - 1.53
Now, do the multiplication:
-19.292 - 1.53
Now, subtract:
-19.292 - 1.53 = -20.822
Therefore, the answer for the given expression -3.64 × |-5.3| - 1.53 is approximately -20.822.
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I need help for number 13-16 and I also need an explanation please help
Answers
Find the volume in Q14, 4 2/5 * 3 1/2 * 2 1/4
Convert
[tex] \frac{12}{5} [/tex] * [tex] \frac{7}{2} [/tex] * [tex] \frac{9}{4} [/tex] = 18.9
The answers on the third one are A, C, and F
The answers on the fourth one are B, D, and E
Hopefully it helps!!
Can you answer these questions for me plz I need them before Monday ty
Answers
B. The answer is 14w^3 +2w^2 bc you distribute again which gives you 20w-10w^2-6w^3+12w^2 and then combine like terms (20w^3-6w^3)+(-10w^2+12w^2) and equals to 14w^3+2w^2
C. The answer is 3y^2-5y+2 bc you distribute again which is 7y^2-3y-4y^2-2y+2 and then combine like terms (7y^2-4y^2)+(-3y-2y) +2 and gives you 3y^2-5y+2
Factor 6y 2 - 48 + 42y
Answers
The expression 6y² - 48 + 42y is factored by first rearranging the terms, finding the GCF, and then factoring the resulting trinomial to get 6(y + 8)(y - 1).
To factor the expression 6y² - 48 + 42y, the first step is to rearrange the terms in descending powers of y, which gives us 6y² + 42y - 48. Next, we can look for a greatest common factor (GCF) among the three terms. Observing that each term is divisible by 6, we can factor out 6:
6(y² + 7y - 8)
Now, we need to factor the trinomial within the parentheses. We are looking for two numbers that multiply to give -8 (coefficient of y² times constant term), and add to 7 (coefficient of y term). The numbers +8 and -1 satisfy these conditions:
6(y + 8)(y - 1)
Thus, the original expression 6y² - 48 + 42y factors to 6(y + 8)(y - 1).
ethan took a quiz with 15 questions. if he answered 3/5 of the questions correctly, how many did he get wrong?
Answers
15-9= 6
Ethan got six questions wrong.
Use the intercepts to graph the equation 8x - 5y = 40
Answers
.. x/(40/8) +y/(-40/5) = 1
.. x/5 +y/-8 = 1
The intercepts are (5, 0) and (0, -8).
To graph the equation 8x - 5y = 40, find the x-intercept and y-intercept. The x-intercept is (5,0) and the y-intercept is (0,-8). Plot these points and draw a straight line passing through them.
Explanation:To graph the equation 8x - 5y = 40 using intercepts, we need to find the x-intercept and y-intercept. The x-intercept is the point where the line intersects the x-axis, so let y = 0 and solve for x. The y-intercept is the point where the line intersects the y-axis, so let x = 0 and solve for y.
Setting y = 0, we get 8x - 5(0) = 40, which simplifies to 8x = 40. Solving for x, we find x = 5. So the x-intercept is (5, 0).
Setting x = 0, we get 8(0) - 5y = 40, which simplifies to -5y = 40. Solving for y, we find y = -8. So the y-intercept is (0, -8).
Plotting the x-intercept (5, 0) and the y-intercept (0, -8) on a graph, we can draw a straight line passing through these two points, which is the graph of the equation 8x - 5y = 40.
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Can you please help me out ?
Answers
Tan (x) = a / b
Where,
a: opposite side of the triangle.
b: adjacent side of the triangle.
Substituting:
Tan (x) = a / b
Tan (x) = 24/10
Tan (x) = 12/5
Answer:
Tan (x) = 12/5 (option 3)
License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?
Answers
number of possible combinations = 676000
Explanation:
We have:
26 possible letters (a to z)
10 possible digits(0 to 9)
2 letters followed by 3 digits
For letters, since repetition is allowed, therefore, each of the two letters can be any of the possible 26 alphabetical letters (a to z)
For digits, since repetition is allowed, therefore, each digit of the three can be any of the possible 10 digits (0 to 9)
Therefore:
number of combinations = letter * letter * digit * digit * digit
number of combinations = 26 * 26 * 10 * 10 * 10
number of possible combinations = 676000
Hope this helps :)
The price of a ticket was increase from 50p to 60p. What is the increase a as a fraction in its simple form? As a percentage of the original price?
Answers
Given is the price increase of a ticket from 50p to 60p.
Using the concept of fractions, we can find the ratio of new price to old price as follows :-
[tex] \frac{new \;\; price}{old \;\; price} = \frac{60p}{50p} =\frac{6}{5} [/tex]
So the increase in price is [tex] \frac{6}{5} [/tex] times old price of the ticket.
Using the formula of percentage, we can find the percentage change in price as follows :-
[tex] Percentage = \frac{(new\;\;price \;-\; old\;\;price) }{old \;\; price}*100 \\\\
Percentage = \frac{60p-50p}{50p}*100 \\\\
Percentage = \frac{10p}{50p}*100 \\\\
Percentage = 20\;\% [/tex]
Hence, Percentage increase is 20% of the original price.
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Factor the polynomial: x^2–xy+x–xy^2+y^3–y^2
Answers
x^2–xy+x –(xy^2-y^3+y^2)
Then take out common factors in each group
=x(x-y+1) -y^2(x-y+1)
Take out the common factor (x-y+1)
=(x-y+1)(x-y^2) voilà!
A rectangular prism has a width of 5 cm a height of 8cm and a depth of 5cm. What is the volume of the prism
Answers
v=l*w*h (note that depth can be substituted in this case for length)
plug in the data we know
v=5*5*8
v=200cm³
Answer=200cm³
A Family spends 240.00 per week on food. If this is 16% of their income, what is the families weekly income?
*show work*
Answers
-------------------------------------------
Work Shown:
x = weekly income (in dollars)
16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500
The family's weekly income is $1500.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
A Family spends 240.00 per week on food. If this is 16% of their income.
let,
x = weekly income (in dollars)
16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500
Hence, The family's weekly income is $1500.
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A cylinder shaped water tank has a diameter of 10 m and a height of 10 m. What volume of water does the tank hold when it's 75% full?
Answers
v = (3.14)(5)²(10)
v = (3.14)(25)(10
v= 785
785 x 0.75 = 588.75
the water tank has 588.75 m of water in it when it is 75% full.
solve 1.2 = g - (-4.3)
Answers
1.2 = g + 4.3 Subtract 4.3 from both sides
1.2 - 4.3 = g Now subtract. You get a minus number.
-3.1 = g
This one really is a bit sneaky.
evaluate log (Base3) 9
Answers
A car traveling at 46 mi/h slows to a speed of 23 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop after 5 more seconds. Which graph shows the car’s speed over time?
Answers
We have then:
For [0, 5]:
A car traveling at 46 mi / h slows to a speed of 23 mi / h in 5 seconds.
For [5, 10]:
It maintains that speed for 5 seconds.
For [10, 15]:
then slows to a stop after 5 more seconds.
In this case:
x axis: represents time
y axis: represents the speed.
Answer:
See attached image for the graphic v (t) vs t.
A high school gym class was jumping rope. They wanted to know how many jumps each student could make before they missed. The results are listed below. 2 5 6 7 9 11 12 14 14 15 17 19 21 22 23 24 27 32 35 39 39 44 47 53 60 61 82 85 88 90 93 96 101 103 114 125 What is the median number of jumps that the students made before missing? a. 32.5 c. 33.5 b. 33 d. 34
Answers
The median number of jumps that the student made before missing is calculated as: C. 33.5.
What is the Median of a Data Set?Median is the middle value or the average of the two center values of a data set.
Given the data set:
2, 5, 6, 7, 9, 11, 12, 14, 14, 15, 17, 19, 21, 22, 23, 24, 27, 32, 35, 39, 39, 44, 47, 53, 60, 61, 82, 85, 88, 90, 93, 96, 101, 103, 114, 125
The average of the two center values is: (32+35)/2 = 33.5
Therefore, the median number of jumps is: C. 33.5.
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120% of a number is 45 find the number
Answers
Here is your answer:
The proper answer to this question is "37.5".
Your answer is 37.5!
If you need anymore help feel free to ask me!
Hope this helps!
Find the surface area of the composite solid and round to the nearest tenth. Explain your answer.
Answers
so, for the rectangle's sides,
front and back are two 6x3 rectangles
left and right are two 6x3 rectangles
the bottom part is a 6x6 rectangle
now, we don't include the 6x6 rectangle that's touching the triangles, because that's inside area, and is not SURFACE area, so we nevermind that one.
now, the triangles are just four triangles with a base of 6, and a height of 4, in red noted there.
so, just get the area of all those rectangles and the triangles, sum them up and that's the surface area of the composite,
[tex]\bf \stackrel{lateral~rectangles}{4(6\cdot 3)}~~+~~\stackrel{bottom~rectangle}{(6\cdot 6)}~~+~~\stackrel{triangles}{4\left( \cfrac{1}{2}(6)(4) \right)}[/tex]
Write the equation of the plane with normal vector n = 1, 3, 4 passing through the point (4, −1, 3) in the scalar form ax + by + cz =
d.
Answers
The equation of plane with normal vector n = (1, 3, 4) passing through the point (4, −1, 3) in the scalar form is;
⇒ x + 3y + 4z = 13
What is Equation of plane?
A equation of plane containing the point (x₁ , y₁ , z₁) and having a normal vector (a, b, c) is defined as;
⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0
Given that;
The normal vector n = (1, 3, 4)
And, The point = (4, −1, 3)
Now,
Since, we know that;
A equation of plane containing the point (x₁ , y₁ , z₁) and having a normal vector (a, b, c) is defined as;
⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0
So, We get;
A equation of plane containing the point (4, −1, 3) and having a normal vector (1, 3, 4) is defined as;
⇒ a (x - x₁) + b (y - y₁) + c (z - z₁) = 0
⇒ 1 (x - 4) + 3 (y - (-1)) + 4 (z - 3) = 0
⇒ x - 4 + 3y + 3 + 4z - 12 = 0
⇒ x + 3y + 4z = 13
Thus, The equation of plane with normal vector n = (1, 3, 4) passing through the point (4, −1, 3) in the scalar form is;
⇒ x + 3y + 4z = 13
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A creek runs along a distance of 16,300 feet. About how many miles long is the creek?
Answers
a proportional relationship must graph as a line, is that false?
Answers
y = 3x² <--- parabolic graph
y = 3√x <--- parabolic as well
a yearbook page will show 20 photos displyed in rws each row must contain the same number of photos how many different ways can the photos be arranged
Answers
Answer:
6If we need all the rows to be equal, all we are doing is dividing.
20/1= 20
20/2= 10
20/4=5
20/5=4
20/10=2
20/20=1
We have 6 different ways to divide 20!
perpendicular to x-6y=7; y-intercept (0,-5). the equation of the line is:
Answers
_____
A perpendicular line will have x and y coefficients swapped and one of them negated. A line through (h, k) can be written as
.. a(x -h) +b(y -k) = 0
so your line would be
.. 6(x -0) +1(y -(-5)) = 0
.. 6x +y +5 = 0
.. 6x +y = -5 . . . . . as above
Is 2 yards greater less than equivalent to 5 ft
Answers
3 feet = 1 yard;
2 yards = 6 ft; therefore, 2 yards is greater than 5 ft.
I hope this helps!
Mary’s number is eleven more than Jerry’s. The sum of their numbers is 89. What are their numbers?
Answers
x = Jerry
x + 11 = Mary
Getting Jerry's number:
x + (x + 11) = 89
2x + 11 = 89
2x = 89 - 11
2x = 78
2x/2 = 78/2
x = 39
Getting Mary's number(simplify):
x + 11
= 39 + 11
= 50
.
Therefore, Mary and Jerry's age are 50 and 39, respectively.
:)
Mary and Jerry's number will be 39 and 50.The sum of their numbers is 89.Which shows that the obtained answer 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.
Let, Mary’s number be x
Mary’s number is eleven more than Jerry’s
Jerry's number is x+11
From the given condition sum of their numbers is 89.
[tex]x + (x + 11) = 89\\\\ 2x + 11 = 89\\\\ 2x = 89 - 11\\\\ 2x = 78\\\\ \frac{2x}{2} = \frac{78}{2} \\\\ x = 39[/tex]
Jerry's number will be;
[tex]x+11 \\\\ 39+11 \\\\ 50[/tex]
Hence the Mary and Jerry's number will be 39 and 50.
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