Answer:
The answer is,2094.75
Step-by-step explanation:
Percentage decrease = 5% × 2,205
2,205 - Percentage decrease =
2,205 - (5% × 2,205) =
2,205 - 5% × 2,205 =
(1 - 5%) × 2,205 =
(100% - 5%) × 2,205 =
95% × 2,205 =
95 ÷ 100 × 2,205 =
95 × 2,205 ÷ 100 =
209,475 ÷ 100 =
2,094.75
Or to be simpler
You find 5% of 2,205 which is 110.25 then subtract it from 2205 which is 2,094.75 and that 5% of 2,205
There are 4 squares and 16 triangles. What is the simplest ratio of squares to triangles?
Answer:
1 is to 4
Step-by-step explanation:
Find lowest common factor of the numbers, which is 4, then divide it into both numbers
3) What is the value of "x" in the segment below:Given: RT = 56
The length of the segment RT is the sum of the lengths of RS and ST:
RT = RS + ST
We have:
RT = 56
RS = 2x + 18
ST = 24
So, using those expressions, we find:
RT = RS + ST
56 = 2x + 18 + 24
56 = 2x + 42
Now, to solve this equation, we can apply a sequence of the same operations on both sides of the equation, until we isolate the variable x and find its value:
56 = 2x + 42
56 - 42 = 2x + 42 - 42
14 = 2x
14/2 = 2x/2
7 = x
x = 7
Therefore, x = 7.
austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time
40 miles will he have after 85 minutes of driving .
Given :
austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .
slope = y2 - y1 / x2 - x1
m = 47.5 - 67 / 75 - 49
= -19.5 / 26
= -3/4
= -0.75
Use the point slope y - y1 = m(x - x1)
y - 67 = -.75 ( x - 49 )
y - 67 = -.75x + 36.75
y = -.75x + 36.75 + 67
y = -.75x + 103.75
x = 85
y = -.75(85) + 103.75
y = -63.75 + 103.75
y = 40 miles
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Full question :
austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?
4. A zoo is open for 10 1/2 hours every day. There
are two security guards on duty at a time and each
shift is 3 1/2 hours. How many shifts are there per
day?
A. 1 shift
B. 2 shifts
C. 3 shifts
D. 4 shifts
Answer:
C
Step-by-step explanation:
This can come from process of elimination, 1 shift is not enough. 2 shifts, 3 1/2 + 3 1/2 is 7, meaning it still isn't enough. 4 shifts 7 + 7 is 14, making it to much.
A relation that is symmetric with respect to the x-axis CANNOT be a function.
Please select the best answer from the choices provided
O
Answer:
A function is symmetric with respect to x-axis for every point on x,y.
Step-by-step explanation:
The graph is symmetric with respect to x-axis for a function x,y. Whenever point x,y are on the graph they are symmetric to x-axis. A function can be even or odd based on the points.
Answer:True
Step-by-step explanation:
Edge 2020
100 POINTS
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.
a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.
b. Find the area of the gazebo in square feet.
c. Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
Answer:
a) $497.70
b) 392.4 square feet
c) $1,200
Step-by-step explanation:
Part (a)A regular octagon has 8 sides of equal length.
Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:
\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)
If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:
\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)
Therefore, the cost of the railing is $497.70.
\(\hrulefill\)
Part (b)To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:
\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)
Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:
\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)
Therefore, the area of the gazebo is 392.4 square feet.
\(\hrulefill\)
Part (c)To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:
\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)
Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.
a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:
P = 8s = 8(9) = 72 feet
Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:
Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20
Therefore, the cost of the railing is $4,939.20.
b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:
A = (1/2)(10.9)(72) = 394.56 square feet
Therefore, the area of the gazebo is 394.56 square feet.
c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:
Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68
Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.
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An playground has a climbing toy that consists of two cubes that are stacked on top of each other so that one entire face of the smaller cube is resting on the larger cube. The side lengths of the larger and smaller cubes are 2 m and 1 m, respectively. What is the surface area of the climbing toy?
The required surface area of the climbing toy is 47 square meters.
The climbing toy consists of two cubes, one larger and one smaller. The side lengths of the larger cube are 2 m, so its surface area is:
Surface area of larger cube = 6s^2 = 6(2)^2 = 24 square meters
The smaller cube has a side length of 1 m and it is resting on one entire face on the larger cube. So, the surface area of the smaller cube that is not in contact with the larger cube is:
Surface area of smaller cube = 6s² - 1s² = 6(1)² - 1(1)²= 5 square meters
Therefore, the total surface area of the climbing toy is the sum of the surface area of the two cubes, minus the area of the face where the smaller cube is in contact with the larger cube. The area of this face is the same as the surface area of one face of the smaller cube, which is 1 square meter. Thus, the total surface area is:
Total surface area = 2(Surface area of the larger cube) + Surface area of the smaller cube - Area of the face in contact
Total surface area = 2(24 square meters) + 5 square meters - 1 square meter
Total surface area = 47 square meters
Therefore, the surface area of the climbing toy is 47 square meters.
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Help fast if it’s correct I’ll make you the Brainly thing
) Which of the following expressions have a negative product?
Choose ALL the correct expressions.
9. 10
- 8.8
11. (-2)
- 6.7
-3. (-4)
-5. (-5)
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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Can somebody help me?
Answer:
($8.09*s) + ($3.79*c)
$70.77
Step-by-step explanation:
First lets start with the equation and how to get it. Now we know the cost for satin fabric, which is $8.09, and we know that the chosen variable is s. Since it is "per yard", we know we will be multiplying. So now we set it up
$8.09*s
Now lets start with the cotton fabric. We know that the cotton fabric costs $3.79, and the chosen variable is c. Once again, it is per yard so we are multiplying.
$3.79*c
We now have the equation for each fabric so now we can put it together.
$8.09*s + $3.79*c
And that is the final equation. If you want, you can add parenthesis to separate it more. This is optional ONLY since they are already separated by a "+"
($8.09*s) + ($3.79*c)
Answer:
The second question answer is $70.77, not sure about the first question.
Annabelle bought three rings that each cost $7. If she paid for the rings with $40, how much change should she receive?
A. $21
B. $33
C. $29
D. $19
Show work.
TRYING TO PROVE MY 3RD GRADE SISTER WRONG. She swore it was 21.
Answer:
the answer is b.
40-7= 33
Hey, could anybody help me with this? thank you!
9) length of the tree is 22.165 meter
10 ) the length of the steel beams is 3.7464 meters
9 ) Given: The angle is 55.2 °
The length of the shadow is 15.5 meter.
To find : the length of the tree
The by using the formula tan θ = perpendicular / base
tan θ = length of the tree/ shadow
thus the length of the tree = length of shadow × tan θ
= 15.5 × tan 55.2
= 15. 5 × 1.43
= 22.165 meter
Thus the length of the tree is 22.165 meter
10) the angle of inclination = 42 °
The height of the slab is 5.6 meters
Thus the length of the steel beams is :
sin 42 ° = perpendicular / hypotenuse
hypotenuse = perpendicular × 0.669
hypotenuse = 5.6 × 0.669
= 3.7464 meters
Thus the length of the steel beams is 3.7464 meters.
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A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
1383400691
Find the experimental probability that 3 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHH HTTH TTTT THTT HTHT
HHTT HHHT THHT HTTH TTHH
HTTT HTHT TTHH THTH HTHH
TTHT HTTT HTHT HHHT HHHH
Experimental Probability
5.
Which pair of expressions is equivalent for any value of y?
A 4(3y + 3) and 7y + 7
B 4(3y + 3) and 12y + 7
C 12(y + 3) and 12y + 3
D 8(y + 3) and 24 + 8y
Answer:
D. 8(y+3) and 24+8y
Step-by-step explanation:
You need to make sure the equations are equal to each other. D is the only one that equals to the other one for infinitive amount of solutions.
8(y+3)=24+8y divide both sides by 8
y+3 = 3+y this is true, which means it is the answer.
Find the surface area of the box shown
Find non-invertible matrices
A,B
such that
A+B
is invertible. Choose
A,B
so that (1) neither is a diagonal matrix and (2)
A,B
are not scalar multiples of each other.
\(A =\left[\begin{array}{ccc}3&0\\-2&1\\\end{array}\right]\) , \(B =\left[\begin{array}{ccc}-2&0\\2&0\\\end{array}\right]\) so that A,B are non-invertible matrices and A+B is invertible.
An invertible matrix is a matrix in given square matrix A of order n × n is called invertible if there exists another n × n square matrix B such that, AB = BA = Iₙ, where Iₙ is an identity matrix of order n × n.
A non-invertible matrix is a matrix that does not have an inverse, i.e. non-invertible matrices do not satisfy the requisite condition to be invertible.
We have to find non-invertible matrices A,B such that A+B is invertible
so, A =\(\left[\begin{array}{ccc}3&0\\-2&1\\\end{array}\right]\)
and B =\(\left[\begin{array}{ccc}-2&0\\2&0\\\end{array}\right]\)
AB = \(\left[\begin{array}{ccc}-6&0\\6&0\\\end{array}\right]\)
Therefore A and B matrix are non- invertible
A + B = \(\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]\)
A square matrix in which every element except the principal diagonal elements is zero is called a Diagonal Matrix.
so, A,B neither is a diagonal matrix and A,B are not scalar multiples of each other.
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Me pueden resolver esto porfa
Answer:
need points for school i have to have 50 points by 3 pm ill owe u promise :)
Step-by-step explanation:
MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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To calculate cost of flooring a room we need to calculate its perimeter
Answer:
Answer: Measure the room that you're going to install the floor in. ... Multiply the width by the length of the room to obtain the square footage. ... Once you know the area of the room, you're good to go - this is the square footage of flooring materials you have to buy
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Step-by-step explanation:
isosceles trapezoid = congruent sides in pairs and the same for the angles
angle 1 = 32°angles 2 & 3 = 148°the sum of the interior angles is 360°
so angle 1 = 32°
angles 2 and 3
(360 - 32 - 32) :2 = 148°
check
32 + 32 + 148 + 148 = 360°
the answer is good
multiplication and addition
Answer:
ok! what do u need help on???
.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
A telemarketers computer selects phone numbers at random. The telemarketer has recorded the number of respondents in each age bracket for one evening in the following table. What is the probability that the next respondent will be 25 or younger? Enter a fraction or round your answer to 4 decimal places if necessary Under= 1818-25=2326-35=4036-45=58Over 45=50
The probability is 21.6931 %
Explanation:
Total amount of callers: 18 + 23 + 40 +58 +50 = 189 callers
Amount of callers 25 or younger : 18 + 23 = 41 callers
Percentage of callers 25 or younger : 41 * 100 / 189 = 21.6931 %
One of the requirements for becoming an associate scientist in a certain lab is the ability to accurately process 100 specimen slides per hour. Ibragim can currently process 65 slides per hour and believes that with practice he can increase his processing speed by 2 slides per hour each week. Which of the following represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now?
The number of slides per hour that Ibragim believes he will be able to process w weeks from now is represented by the following calculation: 65 + 2w.
What is number?Number is an abstract concept used to describe a quantity or amount. It can refer to a countable quantity of objects, or it can refer to an abstract concept such as size, direction, or position. In mathematics, number is used as a way of measuring and describing a quantity or amount. It is used to represent quantities in equations and formulas, to compare quantities, and to measure and compare distances. Number is also used to represent relationships between different objects, such as in geometry where angles, lines, and points are all represented by numbers.
This equation shows that Ibragim's slides per hour processing speed will increase by 2 for each week that passes. For example, if Ibragim practises for 4 weeks, his slides per hour processing speed will have increased from 65 to 73. This is because 65 + (2 x 4) = 73. Therefore, if Ibragim practises for w weeks, then the number of slides per hour he believes he will be able to process will be 65 + 2w.
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The expression 65 + 2w represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now. This expression can be used to calculate the number of slides per hour that Ibragim believes he will be able to process after any number of weeks of practice.
What is number?Number is an abstract concept used to describe a quantity or amount. It can refer to a countable quantity of objects, or it can refer to an abstract concept such as size, direction, or position. In mathematics, number is used as a way of measuring and describing a quantity or amount. It is used to represent quantities in equations and formulas, to compare quantities, and to measure and compare distances. Number is also used to represent relationships between different objects, such as in geometry where angles, lines, and points are all represented by numbers.
The number of slides per hour that Ibragim believes he will be able to process w weeks from now is given by the expression 65 + 2w. In this expression, 65 represents the number of slides per hour that Ibragim can currently process, and 2w represents the number of slides per hour that Ibragim believes he can increase his processing speed by each week.
For example, if Ibragim believes he will be able to process slides at a rate of 100 per hour after 6 weeks of practice, then the expression would be 65 + 2(6) = 77. This means that Ibragim believes he will be able to process 77 slides per hour after 6 weeks of practice. In general, if w represents the number of weeks of practice, then the expression 65 + 2w represents the number of slides per hour that Ibragim believes he will be able to process w weeks from now.
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Complete questions as follows-
A number is multiplied by 2, and then the product is added to 9. The result is 49
Answer:
the answer would be twenty
Step-by-step explanation:
20x2=40 +9=49
49=49
4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week
Answer:
$218.50
Step-by-step explanation:
5.75×38=218.5
turn into dollars $218.50
A line segment has end points V (-4,-4) and W (11, 2). What is the x-coordinate of the point that is 2/5 of the way from V to W on this line segment
the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.
What is coordinate?A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.
by the question.
The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.
To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:
d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)
Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).
To find the x-coordinate of the point we're looking for, we can use the formula:
x = (distance from V to point we're looking for)/ (total distance) * x
coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.
Substituting the values, we found:
x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08
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Select the correct comparison.
Set A
Set B
●
2 4 6 8 10
24 A 8 10
*2
Answer: C. The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
The typical value is shown by the red arrows in this case. For set A, this value is 7. For set B, this value is 6. 7 > 6, meaning that the typical value is greater in set A
The spread is similar to the range. The largest value minus the smallest value. For set A, 9 - 6 = 3. For set B, 10 - 3 = 7. 3 < 7, meaning that the spread is greater in set B.
This leaves us with option C as our answer;
The typical value is greater in set A. The spread is greater in set B.
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5
The fractions will let her find the x-coordinate for point C is 2/5
How to calculate the midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as:
\(M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Substitute the given coordinate into the formulas:
\(M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)\)
From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5
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