Answers
The median of the data is not 3. It's four, because both sides are symmetrical and therefore the number in the very center is the median, or 4.
The mean of the data is not 3, as again, it is symmetrical, so therefore the number in the very center is the mean, 4 again.
The range is the max - min, or 4, which is not 5.
If we count the total number of observations, 2 + 3 + 5 + 3 + 2 = 15, then we know the last one is correct.
Related Questions
Nick bought a pair of glasses for $200. He later saw the same glasses advertised for 20% less than what he originally paid. What price were the glasses being advertised for?
Answers
(200)(0.2) = 40
Then subtract this amount from the original price, $200.
$200 - $40 = $160
The glasses were being advertised for $160.
Solve 8x − 2(x + 1) = 7x + 8. (5 points)
6
−6
10
−10
Answers
Allie wants to arrange her flower garden in eight equal rows.
Answers
What construction does the image below demonstrate?
Answers
Answer:
The construction depicts the inscribing of a hexagon in a circle.
Step-by-step explanation:
These are the following steps to inscribe a hexagon in a circle.
1. We mark a point anywhere on the circle. This mark is the first vertex of the hexagon.
2. Now we will set the compass on this vertex and set the width to the center of the circle. This is the radius of the circle.
3. Now we will make an arc across the circle which is the next vertex of the hexagon.
4. Now moving the compass on to the next vertex and drawing another arc, which becomes the third vertex of the hexagon.
5. Repeat step 4 until all vertices are marked.
6. Lastly, we will draw a line between each successive pairs of vertices, for a total of six lines.
Now we can see a hexagon inscribed in a circle.
Zach read a book for 10 minutes every weekend in the first month, 20 minutes in the second month, 40 minutes in the third month, and 80 minutes in the fourth month. Victoria read a book for 35 minutes every weekend in the first month, 50 minutes in the second month, 65 minutes in the third month, and 80 minutes in the fourth month. Which statement best describes the methods used by Zach and Victoria to increase the time they spent reading a book? Zach's method is linear because the number of minutes increased by an equal factor every month. Victoria's method is linear because the number of minutes increased by an equal number every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal factor every month. Both Victoria's and Zach's methods are exponential because the number of minutes increased by an equal number every month.
(NEVER MIND GUYS IM GOING WITH A)
Answers
At time t = π /6 , the position x(t) = 6 cos(t) is given by the following. x (π/6) = 6 cos (π /6 )
Answers
Kaia needs braces, which will cost $2,400. Her insurance deductible is $1500, after which her insurance pays 80% of all costs. How much will Kaia need to pay for her braces?
A.$2,200
B.$1,680
C.$180
D.$480
Answers
Kaia will pay a $1,500 deductible and the remaining 20% not covered by insurance after the deductible, totaling to $1,680 for her braces.
To calculate how much Kaia will need to pay for her braces, we need to take into account her insurance deductible and the percentage her insurance will cover after that deductible is paid. Kaia's braces cost $2,400, so let's break it down step-by-step:
Kaia pays her insurance deductible, which is $1,500. So, $2,400 - $1,500 = $900 remains.
Her insurance then covers 80% of the remaining $900. To calculate this, we use 80% of $900: ($900 x 0.80) = $720.
Since the insurance pays $720 of the remaining cost, Kaia is left with 20% of $900 to pay out of her pocket. To calculate this, we take 20% of $900: ($900 x 0.20) = $180.
Therefore, Kaia will need to pay $1,500 (deductible) plus $180, for a total of $1,680.
Gavin goes to the market and buys one rectangle shaped board. The length of the board is 16 cm and width is 10 cm. if he wants to add a 2 cm wooden border around the board, what will be the area of the rectangle board?
Answers
The area of the rectangle board, including the wooden border, is 280 cm².
The student's question pertains to finding the new area of the rectangle board after adding a 2 cm wooden border around it. Initially, the board has dimensions of 16 cm in length and 10 cm in width. To account for the new wooden border, we add 2 cm to each side of the board. This means that the new length will be 16 cm + 4 cm (2 cm for each side of the length) and the new width will be 10 cm + 4 cm (2 cm for each side of the width).
The calculation will be as follows:
New Length = 16 cm + 4 cm = 20 cm
New Width = 10 cm + 4 cm = 14 cm
Area = New Length * New Width
Area = 20 cm * 14 cm
Area = 280 cm²
Therefore, the area of the rectangle board with a 2 cm border added around it will be 280 cm².
what is 8/20 of an hour
Answers
6/20 x 60/1
360/20
simplify. divide both numbers by the GCF, 20.
360/20 / 20/20
18/1
there are 18 minutes (1080 seconds) in 8/20 of a hour.
hich numbers are to solve this problem? A bicycle shop sold 60 road bikes, 50 racing bikes, and 75 mountain bikes each month for 15 months. How many more mountain bikes than road bikes did the shop sell in the 15 months?
Answers
The shop sold 15 more mountain bikes than road bikes in 15 months.
a metalworker has a metal alloy that is 15% copper and another alloy that is 55% copper. how many kilograms of each alloy should the metalworker combine to create 90kg of a 47% copper alloy
Answers
x = amount at 15%
90-x = amount of 55%
0.15x + 0.55(90-x) = 0.47(90)
0.15x +49.5 - 0.55x = 42.3
49.5 - 0.40x = 42.3
-0.40x = -7.2
x = -7.2 / -0.4 = 18 kg of 15% copper
90-18 = 72 kg of 55% copper
Which of the following graphs represent a function? 4072-01-02-01- a. Graph A and Graph C b. Graph A c. Graph D d. Graph B and Graph D
Answers
The graph which represent a graph of a function is:
Graph A and Graph C
Step-by-step explanation:We know that a graph of a function satisfies the vertical line test i.e. any line passing through the domain and parallel to y-axis should intersect the curve exactly once i.e. corresponding to each x-value there is exactly one y-value.
Hence, from the figure attached to the answer we see that the Graph which is a function is:
Graph A and Graph C
Graph A represents a function.
Explanation:A function is a relation in which each input has only one output. In other words, for every x-value, there can only be one y-value. To determine if a graph represents a function, we can use the vertical line test. If a vertical line intersects the graph at more than one point, then the graph does not represent a function. Looking at the given graphs, Graph B and Graph D do not pass the vertical line test, as there are vertical lines that intersect these graphs at multiple points. Therefore, the correct answer is Graph A.
I NEED ANSWER RIGHT NOW!!!!!!!!! (30 POINTS + BRAINIEST ANSWER REWARD!!!!)
The graph below shows the velocity f(t) of a runner during a certain time interval:
graph of line segment going through ordered pairs 0, 4 and 4, 8. Graph of another line segment going through ordered pairs 4, 8 and 8, 0. Label on the x axis is time in seconds and label on the y axis is velocity in meters per second
Which of the following describes the intercepts on the graph?
A. The initial velocity of the runner was 4 m/s, and the runner stopped after 8 seconds.
B. The initial velocity of the runner was 8 m/s, and the runner stopped after 4 seconds.
C. The initial acceleration of the runner was 4 m/s2, and the runner stopped after 8 seconds.
D. The initial acceleration of the runner was 8 m/s2, and the runner stopped after 4 seconds.
Answers
Which of the following rules describes the function graphed below? a. Output = Input c. Output = (0.5)(Input) + 1.5 b. Output = (2)(Input) – 3 d. Output = (1.5)(Input) + 3
Answers
Output = (0.5)(Input) + 1.5
input = 1 , output = (0.5)(1) + 1.5 = 2
input = 3 , output = (0.5)(3) + 1.5 = 3
input = 5 , output = (0.5)(5) + 1.5 = 4
input = -1 , output = (0.5)(-1) + 1.5 = 1
Answer:
Option C
output=0.5(input)+1.5
Step-by-step explanation:
Let
y------> the output
x------> the input
we have
[tex]A(-1,1), B(5,4)[/tex]
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{4-1}{5+1}[/tex]
[tex]m=\frac{3}{6}=0.5[/tex]
Find the equation of the line
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=0.5[/tex]
[tex]A(-1,1)[/tex]
substitute
[tex]y-1=0.5(x+1)[/tex]
[tex]y=0.5x+0.5+1[/tex]
[tex]y=0.5x+1.5[/tex]
remember that
y=output
x=input
substitute
output=0.5(imput)+1.5
what 3050 divided by 100
Answers
Derek decided to take a trip to France this summer. He had $30 in U.S. dollars to exchange for Euros. For every U.S. dollar, Derek received .76 Euros. How many Euros did Derek receive for his 30 U.S. dollars?
Answers
[ 3+ ( 18 - 4 ) / 7 ] * 8
Answers
[3+(14)/7]*8
Next, divide by 7.
[3+2]*8
Now, add.
[5]*8
The answer is 40. I hope this helped! (just your pemdas)
Solve the polynomial equation. State the multiplicity of each root. x3 + 15x2 + 75x + 125 = 0
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Hope this helps! Can i have brainiest?
The quotient Of 30 and the sum of -4 and -6
Answers
30 30
------------------------ = --------- = -3 (answer)
-4 -6 -10
How do I write y-3=2/3(x-2) in standard form
Answers
Then, you distribute the 2 to (x-2) and you get 3y-9=2x-4
Now, to get this equation into ax+by=c form, subtract 2x from both sides, and add 9 to both sides, which will result in this: -2x+3y=5.
Now, since the coefficient of a is negative, multiply the entire equation by -1, to get you answer: 2x-3y=-5
factor 2x^3+3x^3-18x-27
Answers
After combining like terms, the polynomial simplifies to 5x^3 - 18x - 27. It cannot be factored using basic techniques due to the lack of common factors and its incompatibility with simple factoring patterns.
Explanation:To factor the polynomial 2x^3 + 3x^3 - 18x - 27, we first combine like terms and then look for common factors or patterns that we can use to factor the polynomial.
Combining Like Terms
Combining the cubic terms, we get 5x^3. Therefore, the polynomial simplifies to 5x^3 - 18x - 27.
Factoring
We look for a greatest common factor (GCF) among the terms. In this case, there are no common factors other than 1.
Since there is no obvious way to factor by grouping, and the polynomial does not fit the patterns for difference of cubes or sum of cubes, we'd have to consider other methods such as Rational Root Theorem or synthetic division to find if the polynomial has rational roots and can be factored further. However, those methods are more complex and require trial and error or a systematic approach that typically isn't covered until more advanced algebra classes or college algebra.
Conclusion
Without additional methods, we conclude that the polynomial 5x^3 - 18x - 27 cannot be factored over the rationals using basic factoring techniques commonly taught in high school algebra.
To factor the expression 2x^3 + 3x^3 - 18x - 27, we can group the terms with common factors and factor out those common factors.
Explanation:To factor the expression 2x^3 + 3x^3 - 18x - 27, we can group the terms with common factors. The first two terms, 2x^3 and 3x^3, have a common factor of x^3. The last two terms, -18x and -27, have a common factor of -9. Factoring out these common factors, we get:
2x^3 + 3x^3 - 18x - 27 = x^3(2 + 3) - 9(2 + 3) = x^3(5) - 9(5) = 5x^3 - 45
So, the factored form of the expression is 5x^3 - 45.
Find the coordinates of point P
P
along the directed line segment AB
AB
, from A(1, 6)
A(1, 6)
to B(−2,−3)
B(−2,−3)
, so that the ratio of AP
AP
to PB
PB
is 5
5
to 1
1
.
Answers
The calculated coordinates of the point P is P (-3/2, -3/2)
How to determine the coordinates of the point PFrom the question, we have the following parameters that can be used in our computation:
A = (1, 6)
Also, we have
B = (-2, -3)
And we have the partition to be
m : n = 5 : 1
The coordinate of the partition is calculated as
P = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)
Substitute the known values in the above equation, so, we have the following representation
P = 1/(5 + 1) * (5 * -2 + 1 * 1, 5 * -3 + 1 * 6)
This gives
P = 1/6 * (-9, -9)
So, we have
P = (-3/2, -3/2)
Hence, the coordinate is P = (-3/2, -3/2)
Read more about line segment ratio at
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To find the coordinates of point P along the directed line segment AB, we can use the concept of section formula and plug in the given values to find the coordinates (-3/2, -3/2).
Explanation:To find the coordinates of point P along the directed line segment AB, we can use the concept of section formula. The section formula states that if a point P divides a line segment AB in the ratio m:n, then the coordinates of P can be found using the formula:
P(x,y) = [(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)]
Using this formula, we can plug in the values: m=5, n=1, x1=1, y1=6, x2=-2, y2=-3 to find the coordinates of point P.
P(x,y) = [(5*(-2) + 1*1)/(5+1), (5*(-3) + 1*6)/(5+1)] = [(-10+1)/6, (-15+6)/6] = [-9/6, -9/6] = (-3/2, -3/2)
Learn more about Section Formula here:https://brainly.com/question/30242641
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Quinn spends $16.49 for 3 magazines and 4 sheets of stickers. The magazines cost $3.99 each and the sales tax was $1.02. Quinn also used a coupon for $1.50 off her purchase. If each sheet of stickers had the same cost, how much did each sheet of stickers cost?
Answers
3(3.99) + 4x + 1.02 - 1.50 = 16.49
11.97 + 4x - .48 = 16.49
4x = 16.49 - 11.97 + .48
4x = 5.00
x = 1.25
Let f be the function defined by f(x) = x + lnx. What is the value of c for which the instantaneous rate of change of f at x = c is the same as the average rate of change of f over [1, 4]?
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Find the median: 95, 103, 98, 62, 31, 15, 82
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which is:
15, 31, 62, 82, 95, 98,103
the median is the one in the middle so that is
=82
A pizza parlor offers a choice of 16 different toppings. how may three-topping pizzas are possible
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for halloween, lana received 7 4/8 pounds of candy. after a week her family had eaten 3 6/8 pounds, how many pounds does she have left?
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Answer To Questions :
3 3/4
Every 2/3 hour, Harris can sew 1/6 pair of jeans. what is the unit rate?
Answers
(2/3) ÷ (1/6) = unit rate
You finish.
Write the expressions without using log. Can someone please help with this?
(i) log m^2 n =?
(ii) log (m/n^3)=?
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[tex]\bf log(m^3n)\implies log(m^3)+log(n)\implies 3log(m)+log(n) \\\\\\ \boxed{3k+v} \\\\\\ log\left(\cfrac{m}{n^3} \right)\implies log(m)-log(n^3)\implies log(m)-3log(n) \\\\\\ \boxed{k-3v}[/tex]
Helene is finding the sum (9 + 10i) + (–8 + 11i). She rewrites the sum as (–8 + 11)i + (9 + 10)i. Which statement explains the property of addition that she made an error in using?
Answers
Answer:
answer is d
Step-by-step explanation: