Answer:
S = {2, 2, 5, 5, 11}
Step-by-step explanation:
So you can partially build a data set given this information. There is going to be 5 positive numbers and the median is going to be 5 so the data set is going to have 5 in the middle which should look like this
S = {a, b, 5, c, d} where a, b, c, d are the other values. Since it has a mode of 2 and 5 that means that the occurrences of 2 and 5 will be equal, otherwise it would only have 1 mode. and they have to appear at least twice since if they only appeared once, there would either be another mode, or the data set would have 5 modes.
So the data set is going to look like this
S = {2, 2, 5, 5, d}
Now the only thing left to do is calculate d. This is where you use the mean to determine the last value. The mean can be calculated as
(the sum of the data set) / (the amount of values in the data set)
Since we know the mean you can set up an equation to find the value of d
[tex]5 = \frac{2+2+5+5+d}{5}\\5=\frac{14+d}{5}\\25=14+d\\11=d[/tex]
so the last value is 11. This gives you the complete data set of 5 positive integers
S = {2, 2, 5, 5, 11}
can you please help with these two gradient questions I'm giving brainliest :)
The line with a gradient of 6 is line A, and the gradient of line A is 4
The line with a gradient of 6The gradients are given as:
-0.5, 0, 2 and 6
A line with a negative gradient (i.e. -0.5) would decrease as the x values increase.
This is represented by line D
A line with a 0 gradient is a horizontal line
This is represented by line C
The line closer to the y-axis have a higher gradient.
This means that line A has a higher gradient than line B, because of its proximity to the y-axis
Hence, the line with a gradient of 6 is line A
The gradient of line AThe gradient of line B is given as:
Gradient = 4
Line A and line B are parallel lines
Parallel lines have the same gradient
Hence, the gradient of line A is 4
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Find the explicit equation that represents the following recursive equation:
t(1)=5
t(n+1)=8 multiply by t(n)
help :((
The explicit equation of the function is t(n) = 5 * 8^(n-1)
How to determine the explicit equation?The function definition is given as:
t(1)=5
t(n+1)=8t(n)
Let n = 1
So, we have:
t(2) = 8t(1)
Divide through by t(1)
t(2)/t(1) = 8
The common ratio of the function is:
r = t(2)/t(1) = 8
The explicit rule is then calculated as:
t(n) = t(1) * r^(n-1)
So, we have:
t(n) = 5 * 8^(n-1)
Hence, the explicit equation of the function is t(n) = 5 * 8^(n-1)
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Determine the quadrant ( I, II, III, and IV ) or axis (x and y ) where each of the following point is located.
1. ( 0,-6 )
2. ( 15,4 )
3. ( 100, -5 )
4. ( 0.004, .05 )
5. ( -4,0 )
8. ( -7.5, -6.3 )
9. ( 0.1000)
Answer:
1. ( 0,-6 ) is y-axis
2. ( 15,4 ) is l quadrant
3. ( 100, -5 ) is lV quadrant
4. ( 0.004, .05 ) is l quadrant
5. ( -4,0 ) is x-axis
8. ( -7.5, -6.3 ) is lll quadrant
9. ( 0.1000) is y-axis.
Simplify the expression completely.
The solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be solved as follows:-
E = [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]
E = [tex]\sqrt{7\times 7\times 3\times xy^7\times x^5y^5[/tex]
E=[tex]\sqrt{7\times 7\times 3\times x^6y^{12}[/tex]
E = 7x³y⁶√3.
Therefore the solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.
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What is the answer to the question down below
We conclude that the measure of that angle is 150 degrees.
How to get the measure of angle BFE?
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
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Draw a ratio box for this problem. Then solve the
problem using a proportion.
her piano students and that 40% of the
Ms. Smith noted that there were 12 girls among
students were boys. How many piano students
did Ms. Smith teach?
There are total 30 students in the piano class.
What is Ratio and Proportion ?When a number can be divided by another number then they can be written as p : q , when two ratios can be equated using an equal sign then they are said to be in proportion.
It is given that the total number of girls is 40% of the total students
The ratio of total students to girls is 100 :40
= 10 :4
= 5 : 2
It is also given that in the total number of students 12 were girls
Let total students be x
Then the ratio is x : 12
As both the ratio are same and so can be equated and the proportion will be
5 : 2 = x : 12
5/2 = x /12
x = 30
Therefore there are total 30 students in the piano class.
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Part C
How do the signs of b and c in standard form, x2 + bx + c, affect the signs of p and q in factored form, (x + p)(x +q)?
When 'c' is negative both p and q would have the same sign and when opposite signs whereas when b is positive and negative, both would have positive and negative signs respectively.
How the signs affect the factored formThe ways in which the signs of 'b' and 'c' affect the form include;
if c is negative, then p and q have opposite signs.If c is positive, then p and q have the same signs. If b is negative, both the signs of p and q would be negative. Also, if b is positive, then the signs of both p and q would be positive.Learn more about quadratic equations here:
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A ski-lodge casts a 3-foot long shadow. at the same time, a 3.5 foot ski pole sticking vertically out of the snow casts a 0.5 foot shadow. in feet, how tall is the lodge?
Answer:
The lodge is 21 feet tall.
Step-by-step explanation:
Ski Lodge:
object/shadow
x/3
Ski Pole:
object/shadow
3.5/0.5
Solve for x:
x/3 = 3.5/0.5
0.5x = 10.5
x = 21
Which of the following has the same value as C(10, 3)?
O P(10, 3)
O C(10,7)
O C(9,6)
Answer: C(10,7)
Reason:
We can numerically compute both C(10, 3) and C(10, 7) and we would get 120 for each result.
Use the nCr combination formula
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
In general we have the rule C(n, r) = C(n, n-r)
Which descriptions from the list below accurately describe the relationship
between AABC and ADEF? Check all that apply.
E
5/37
53
A 3 C D
10
53
6
37
A. Same area
B. Same size
8
C. Congruent
D. Congruent after a dilation
Triangle ABC was dilated to form triangle DEF, hence both triangles have the same shape and are similar.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Dilation preserves the shape but not the size.
Triangle ABC was dilated to form triangle DEF, hence both triangles have the same shape and are similar.
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Halla un numero que aumentado en 36 resulta el doble del numero , disminuido en 18 .
The number should be 54, where we can add 36 to get twice the number decreased by 18.
What is linear equation?There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation.
Given that, when we add 36 with a number then it gives twice the number decreased by 18.
Let the number be [tex]x[/tex] .
We get the linear equation
[tex]x+36=2x-18\\\Rightarrow x-2x=-18-36\\\Rightarrow -x=-54\\\Rightarrow x=54[/tex]
Therefore, the number should be 54.
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19. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?
19. Line 1: Passes through (-8, -55) and (10, 89)
Line 2: Passes through (9, -44) and (4, -14)
Answer:
The given lines are un-related.
Step-by-step explanation:
In the question, two lines are given as line 1 passes through (-8,-55) and (10,89). Whereas, line 2 passes through (9,-44) and (4,-14).
It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.
To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.
Step 1 of 2
Find the slope of first line.
[tex]$$\begin{aligned}&m_{1}=\frac{89-(-55)}{10-(-8)} \\&m_{1}=\frac{144}{18} \\&m_{1}=8\end{aligned}$$[/tex]
Step 2 of 2
Find the slope of first line.
[tex]$$\begin{aligned}&m_{2}=\frac{-14-(-44)}{4-9} \\&m_{2}=\frac{30}{-5} \\&m_{2}=-6\end{aligned}$$[/tex]
Since, both slopes are neither equal nor reciprocal of each other.
Therefore, the lines are un-related.
justification three common tangents
Three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
How to illustrate the information?It should be noted that a common tangent simply means a line the bus tangent to more than one circle.
In this case, three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.
A diagram is attached to illustrate the tangent.
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S is a subset within a universal set, u. If S= {x,y,4,9,?} which could describe u , letters or numbers
The universal set U from which the subset was derived is; U = {keys on a keyboard }
How to find the subset of a universal set?We are told that S is a subset within a universal set, U.
Now, If S = {x, y, 4, 9, ?}
Given S is a subset within a universal set U;
According to the question S = {x, y, 4, 9, ?}.
Now, we need to find among the given sets the one that describes the best set.
The best Universal set will be {keys on a key board } since the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set
Therefore, U = {keys on a keyboard }
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What is the missing value for x
Answer:
x° = 43°
Step-by-step explanation:
You want the measure of the angle marked x° in the circle with arcs of 152° and 122° shown.
Inscribed angleThe arc subtended by the inscribed angle x° will be the measure of the arc that makes up the rest of the 360° circle:
360° -152° -122° = 86°
The measure of angle x° is half the measure of the subtended arc:
x° = 86°/2
x° = 43°
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A bookstore had 120 copies of a magazine. Yesterday the bookstore sold 2/3
of these copies. How many copies were sold yesterday?
Write your answ in simplest form.
copies
Answer:
80 magazines sold
Step-by-step explanation:
120*2/3=80
Use distributive law evaluate
Answer:
The distributive property allows you multiply a sum in parenthesis by multiplying each addend separately, then add the products.
Step-by-step explanation:
How to use the distributive law example.
2(x+4) = 16
To use the distributive law in this example multiply 3 by all terms in the parenthesis. Multiply 2 and x, then 2 and 4 to open the parenthesis.
2x+8=16
That is how you use the distributive law.
To continue solving, subtract 8 from both sides.
2x+8-8=16-8
2x=8
Divide 2 from both sides.
2x/2=8/2
x=4
Hope this helps!
If not, I am sorry.
y=-2 what is the slope
Answer:
Slope = 0
Step-by-step explanation:
This is a HORIZONTAL line ....horizontal lines have slope = 0
VERTICAL lines like x =2 have UNDEFINED slope.
Answer:
m = 0
Step-by-step explanation:
This type of linear equation would be a horizontal line when graphed meaning that the slope would equal zero.
So in the equation y = -2, the slope is missing as the ' mx ' because it is horizontal.
Given that n is an integer. write down expression for next two odd numbers after 2n-1.
explain why the sum is multiples of 3
The expressions for the next two odd numbers after 2n -1 are; 2n +1 and 2n +3.
What are the expressions for the next two odd numbers?If follows from the task content that the expressions for the next two odd numbers after 2n-1 are required.
Since odd numbers are have difference 2, it follows that the next 2 odd numbers must be obtained by adding each time. Hence, we have, 2n +1 and 2n +3.
The sum is a multiple of 3 because; 2n -1 + 2n +1 + 2n +3 = 6n +3 = 3(2n+1).
Hence, the sum is multiples of 3.
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Which of the following terminating decimals is equivalent to StartFraction 3 over 8 EndFraction
The 0.375 terminating decimals are equivalent to 3/8 option second is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The fraction is:
= 3/8
After dividing with 8
= 0.375
Thus, the 0.375 terminating decimals are equivalent to 3/8 option second is correct.
The question is incomplete.
The complete question is:
Which of the following terminating decimals is equivalent to 3/8?
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1. Factor 250² - 81b².
О (5а - 9ь)(5а + 90)
-
О (5а - 9b)(5а - 9b)
О (5а + 9ь)(5а + 9ь)
(12.5a-4.5b) (12.5a + 4.5b)
Answer: The answer is option
Step-by-step explanation:
The solution is in the attached
factorise 25x^2-20xy-21y^2+10yz-z^2
The factorization of the given expression is 5x(5x - 4y) - y(21y + 10z) - z².
Factorization of algebraic expression:The factorization of an algebraic expression is the process of finding two or more factors, whose multiplication results back in the given expression.
From the information given:
The factorization of 25x^2-20xy-21y^2+10yz-z^2 can be computed as:
= 5x(5x - 4y) - y(21y + 10z) - z²
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Copy the figure below onto a separate sheet of paper. Find the image of the figure under reflections in line m and then line t. In the box below, describe the location of the new image in relation to lines m and t. For example, the new image is above, below, left, or right of lines m and t.
The image of the pentagon under reflections in line m and then line t is shown below.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
The image of the figure under reflections in line m and then line t.
The reflection of the pentagon DEFG will be given in the figure.
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he graph shows the velocity f(t) of a runner during a certain time interval:
Graph of line segment going through ordered pairs 0, 6 and 6, 8. Graph of another line segment going through the ordered pairs 6, 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?
Option D. The description that best fits the intercept of the graph is The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.
How to solve for the intercept of the graphThe graph has lines that would go through these points, (0,6) and pair (6,8). In the other graph, it goes through 6, 8 and 8, 0.
The initial velocity of this runner is seen to be 6m/s. As he runs this would increase and while he slows down it would fall. The stop time of the runner is going to be at 8 minutes.
Complete question
Which of the following describes the intercepts on the graph?
The initial acceleration of the runner was 8 m/s2, and the runner stopped after 6 seconds.
The initial acceleration of the runner was 6 m/s2, and the runner stopped after 8 seconds.
The initial velocity of the runner was 8 m/s, and the runner stopped after 6 seconds.
The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.
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I REALLY NEED HELP WITH THESE GRADIENT QUESTIONS
PLS HELP ILL GIVE BRAINLIEST
Answer:
For the first picture, the answer is either A or B, but I think it's A. For the second picture, the answer should also be 4, because the lines are parallel to each other and therefore have the same gradient.
help? please i dont understand
Answer:
I think - option c. 54.22kg
Step-by-step explanation:
Find the best fit line for the scatter plot.
The best fit line for the scatter plot is shown in the graph second option second is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
m and c are the slope of and y-intercept of the line of best.
As we can see in the picture there are scatter plots are shown.
The equation of the best fit will be which passes or nears every dot.
In the scatter plot second the line is very close to every point.
Thus, the best fit line for the scatter plot is shown in the graph second option second is correct.
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Following the steps below, what is the next step in constructing a line perpendicular to a segment
The next step in constructing a line perpendicular to a segment is; With compass at P, draw an arc that intersects a in two places.
How to construct a line segment?The steps in constructing the given line segment in the attached image are;
1. Place your compass pin on the given point which is above the line and draw an arc of any size that intersects the line at two points2. Place the compass pin on one of the two points where the arc intersected the line and make a small arc below the line3. Without changing the span on the compass, place the compass pin on the other point where the first arc intersected the line and make another small arc below the line, the two small arcs should be intersecting below the line.4. Using a straightedge, connect the intersection of the two small arcs to the given point above the line.Looking at the attached line segment the next step is obviously With compass at P, draw an arc that intersects a in two places.
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Answer:
you ;eft the question incomplete, but the answer is:
Increase the compass to almost double the width (the exact setting is not important).
Step-by-step explanation:
What is the opposite of –(–24)
And, what is the opposite of +(+15)
Answer:
Step-by-step explanation:
hello :
the opposite of +(+15) is : +(-15)
the opposite of -(-24) is : +(-24)
Expand and simplify 5(3y + 2) +6
Hello !
[tex]5(3y + 2) + 6[/tex]
[tex] = 5 \times 3y + 5 \times 2 + 6[/tex]
[tex] = 15y + 10 + 6[/tex]
[tex] = 15y + 16[/tex]
15y + 16
Step-by-step explanation:Fully expanding and simplifying an expression means distributing all values and combining like terms.
Distributing
First, the 5 needs to be distributed to the values within the parentheses. Using the distribution property, the 5 can be multiplied by 3y and 2.
(5 * 3y + 5 * 2) + 6Then, just simplify
15y + 10 + 6Combine Like Terms
Now that all values are distributed like terms need to be added together.
Like terms are defined as terms that have the same variable and power.The terms 10 and 6 are of the same power and do not have variables. So, they can be added together.
15y + 16This expression is the most expanded and simplified version.