Answer:
it depends on whether the outlier is a high outlier or a low outlier
Step-by-step explanation:
The mean of a data set is the average of the data set. So if I had the data set {5, 2, 10} the average would be (5+2+10)/3 = 5.667. Now if I added an outlier like 10,000 it would increase the mean significantly. It changes it significantly but I cannot say whether it increases or decreases it without knowing the value of the outlier, since if I had the outlier -10,000 that would decrease the mean, but I had the outlier 10,000 it would increase it. So it depends on whether the outlier is a high outlier or a low outlier
Which values of x will make the expression
0-3
0-2
0
02
3
6x²-54
5x²-20
equal to 0? Select two options.
Answer:
3 and -3
Step-by-step explanation:
Find y in terms with x
Help me pleaseee thank uu:)
Answer:
y = 90 -5/2 x
Step-by-step explanation:
The angle on the left equals x+3x+x = 5x
The angle on the right equals 2y
The two angles are same side interior angles which are supplementary because the lines are parallel
5x+2y = 180
Solving for y
2y = 180-5x
Divide by 2
2y/2 = 180/2 -5x/2
y = 90 -5/2 x
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\tt y = 90 \degree - \cfrac{5x}{2} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The two lines are parallel, henceforth we can apply Angle pair rules.
[tex]\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180[/tex]
[ Co - interior angles ]
[tex]\qquad \tt \rightarrow \:5x + 2y = 180[/tex]
[tex]\qquad \tt \rightarrow \:2y = 180 - 5x[/tex]
[tex]\qquad \tt \rightarrow \:y = \dfrac{180 - 5x}{2} [/tex]
[tex]\qquad \tt \rightarrow \:y = \cfrac{180 }{2} - \cfrac{5x}{2} [/tex]
[tex]\qquad \tt \rightarrow \:y = 90 \degree - \cfrac{5x}{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Simplify fully 4d2-6d2+5d2
Answer:
3d²
Step-by-step explanation:
Hello!
To simplify, we combine the like terms by adding them.
Like termsLike terms are terms with the same variable and degree. A degree is a power to which the term is raised. Like terms can have numerical coefficients. For example, a coefficient of 4 to x² would mean 4 times x².
We can see that the variable d² is common throughout the three terms, meaning they are like terms. We can simply add and subtract them.
Simplify4d² - 6d² + 5d²-2d² + 5d²3d²The simplified form is 3d².
i need help asappppp
Answer:
a = 11, b = 7
Step-by-step explanation:
See picture
How does simplifying a square root expression differ from simplifying a cube root expression?
The square root contains two same numbers and the cubic root contains three same numbers.
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 square root contains two same numbers and the cubic root contains three same numbers.
For an example:-
√9 = [tex]\sqrt{3\times 3}[/tex] = 3 as we can see in the example the value of the square root of 9 is 3 it consists of two threes in the roots.
∛27 = [tex]\sqrt[3]{3\times 3\times 3}[/tex] = 3 here we have found that 27 contains 3 times 3 so the cube root of 27 will be equal to 3.
Therefore square root contains two same numbers and the cubic root contains three same numbers.
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What steps are used to solve this equation?
x
2
= 7
Answer:
x=3.5
Step-by-step explanation:
x × 2 = 7
÷2 ÷2
x=3.5
لیا
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 = (x+2)
Drawing Tools
Select
Point
Line
P
K
Click on a fool to begin drawing.
17
-10
-8
-6
-4
4
10-
8
06000
Undo
Resef
The graph is plotted and attached in the attachment. The given equation is a linear equation with the intercept 0.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
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.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.
Given equation;
y + 2 = (x+2)
Rearrange the equation;
y + 2 = x+ 2
y=x
The standard equation for the straight line is;
y = mx + c
Where c is the intercept and m is the slope
After comparing the given equation with the standard equation we get;
m = 1
c =0
Hence,the graph is plotted and attached in the attachment.
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label the vertices and all the elements needed. find x
The value of x would be 30 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Let's consider an angle CAD be t.
In a triangle ABD
x + 90 + t = 180
t = 180 -x - 90
t = 90 - x ( by angle sum property)
Now, we know that the sum of the corresponding angle on a transversal is 180
So,
Angle A + angle D = 180
2x + t + x + x = 180
substitute the t value
2x + 90 - x + 2x = 180
3x + 90 = 180
3x = 90
x = 30 degree
Hence, the value of x would be 30 degrees.
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Question 3 of 10 A Assume EFG = JKL. If mLJ = 90°, mL K = 26°, and m< L = 64°, what is the measure of < E?
The measure of angle E will be 90 degrees as well.
Assume EFG = JKL.
If mLJ = 90°, mL K = 26°, and m< L = 64°,
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given an image of two congruent triangles.
Since, EFG = JKL
therefore, the corresponding angles will be congruent.
m < J = 90° = m< E = 90
By congruence measure of angle, J will be equal to the measure of angle E.
Hence, The measure of angle E will be 90 degrees as well.
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What is the greatest common factor (GCF) of 15 and 6x?
The factors of 15 are
.
The factors of 6x are
.
The GCF of 15 and 6x is
.
Answer:
3
Step-by-step explanation:
Factors of 15 are 1, 3, 5, 15
Factors or 6 are 1, 2, 3, 6
HCF = 3
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closest to the mean of this distribution?
A. 7
B. 5
C. 9
D. 4
E. 3
Considering the given histogram, the mean of the data-set is closest to:
B. 5.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
Hence, considering the histogram, the mean is given by:
M = (1x1 + 2x2 + 3x3 + 4x1 + 5x1 + 6x2 + 7x3 + 8x1 + 9x1)/(1 + 2 + 3 + 1 + 1 + 2 + 3 + 1 + 1) = 4.87.
Which is closest to 5, hence option B is correct.
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I am having some problem can anyone please help me out to do this math.
(x + 3)(x + 4)
Answer:
x^2 + 7x + 12
Step-by-step explanation:
This is a product of two binomials. There's a formula:
(a + b)(c + d) = ac + ad + bc + bd.
Therefore, (x + 3)(x + 4) = x^2 + 3x + 4x + 12 = x^2 + 7x + 12
what is the solution to the system of equations below?
3x+y+2z=8
8y+6z=36
12y+2z=12
A. x=2, y=1, z=6
B. x=3, y=0, z=4
C. x=2, y=0, z=6
D. x=3, y=1, z=4
The solution to the system of equation are x=2, y=0, z=6
System of equationsSystem of equations are equations that contains unknown variables.
Given the equations
3x+y+2z=8
8y+6z=36
12y+2z=12
From equation 2 and 3
8y+6z=36 * 1
12y+2z=12 * 3
______________
8y+6z=36
36y+6z= 36
Subtract
8y - 36y = 36 - 36
-28y =0
y = 0
Substitute y = 0 into equation 2
8(0)+6z=36
6z = 36
z = 6
From equation 1
3x+y+2z =8
3x + 0 + 2(6) = 8
3x = 8 - 12
3x = 6
x = 2
Hence the solution to the system of equation are x=2, y=0, z=6
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1 Select the correct answer from the drop-down menu. sinr O tant = cost. Therefore, tan(90-A) = COST. 1/tan(90-A) 1/sin A 1/cos(90 - A) 1/tan A . (All angle measurements are in degrees.) Reset Next 1 Select the correct answer from the drop - down menu . sinr O tant = cost . Therefore , tan ( 90 - A ) = COST . 1 / tan ( 90 - A ) 1 / sin A 1 / cos ( 90 - A ) 1 / tan A . ( All angle measurements are in degrees . )
[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]
A day is chosen from a week.
1. What are the possible outcomes?
2. What is the chance of choosing Wednesday?
3. Find the probability of selecting weekends.
Answer:
1. the possible outcomes are any of the seven days of the week
2. 1/7 chance of choosing Wednesday
3. 2/7 chance of choosing Saturday or Sunday
[tex]\mathbb{PROBLEM:}[/tex]
[tex] \\ [/tex]
A day is chosen from a week.
1. What are the possible outcomes?
2. What is the chance of choosing Wednesday?
3. Find the probability of selecting weekends.
[tex] \\ [/tex]
=======================================
[tex]\mathbb{SOLUTION:}[/tex]
[tex] \\ [/tex]
1. What are the possible outcomes?
a day is chosen from a week, possible outcomes are Monday, Tuesday, Wednesday, Thursday, Friday,, Saturday or Sunday2. What is the chance of choosing Wednesday?
because there is only one day in a week on Wednesday, the choice of choosing Wednesday is 1/7[tex]\tt\underline\red{ \: \: \frac{1}{7} \: \: }[/tex]
3. Find the probability of selecting weekends.
because there one two days in a week on selecting weekends, the probability of selecting weekends is 2/7[tex]\tt\underline\red{ \: \: \frac{2}{7} \: \: } [/tex]
=======================================
♥️
The sum of ten and eight times a number is 162. What is the number?
Answer:
9
Step-by-step explanation:
10x + 8x = 162
18x = 162
x = 9
What is the equation of the directrix of the parabola given by the equation y2 = -24x?
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
What is Directrix of a Parabola ?A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
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What is the domain and range of the following graph?
Answer:
Domain is all x-values and range is all y values. See all of the x values and y values that are touching the graph. Also, when there is a circle/ hole, use parenthesis for the interval notation. Hope it helps!
Which shape(s) have 2 or more lines of symmetry?
Answer:
D is the answer for you.
a toolbox has 10 screwdrivers and 6 wrenches. bella put 8 more wrenches in the toolbox. how many more wrenches are in the toolbox than screwdrivers
Answer:
4 more wrenches than screwdrivers
Step-by-step explanation:
6+8=14
14-10=4
therefore there are 4 more wrenches than screwdrivers.
:)
Answer:
14
Step-by-step explanation:
solution
Screwdrivers- 10
wrenches- 6
if bella adds 8 more wrenches.
= 6 + 8
=14
Now, there are 14 wrenches in the box
raios of 3 The ratboys to 5 girls
Could someone help me with my math lab
All the parts shown in the figure are solved.
What is Combination ?A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.
Part 1
(a) When two dices are rolled the basic outcomes will be =?
Each dice has 6 outcomes and therefore 6* 6 =36
Therefore total 36 basic outcomes.
(b) Yes both the events are equally likely .
Part 2
(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled
Sum
2 1+1
3 1+2, 2+1
4 1+3, 2+2, 3+1
5 1+4, 2+3, 3+2, 4+1
6 1+5, 2+4, 3+3, 4+2, 5+1
7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
8 2+6, 3+5, 4+4, 5+3, 6+2
9 3+6, 4+5, 5+4, 6+3
10 4+6, 5+5, 6+4
11 5+6, 6+5
12 6+6
(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.
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the vate rate of a country is 15% ,a woman bought an item with a price tag ghc 300 plus vat .what price did she pay for the item.
Answer:
i think 345 if not sorry
Step-by-step explanation:
Which expression is equivalent to the one below? (x2y)(x4y3) xy2
The expression which is equal to the expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] is as [tex]x^{7} y^{6}[/tex].
Given Expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] and we have to find the expression equal to this.
Two variables are present in the given expression x and y but both are in different form or powers.
x is having power 2 , 4 and 1 so because the base is same for all and they are in multiplied form so we will add the powers to form [tex]x^{4+2+1}\\[/tex]
=[tex]x^{7}[/tex]
Now y is having 1,3,2 powers so because the base is same for all and they are in multiplied form so we will add all the powers to form [tex]y^{6}[/tex]
Now multiply both to get the required expression which is [tex]x^{7} y^{6}[/tex].
Hence the expression which is equal to the given expression is [tex]x^{7} y^{6}[/tex].
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Given: AD BC and ZBCD=
ZADC
Prove: DE CE
A
D
B
Correct! Assemble the next
statement.
Intro
Angles Segments Triangles Statements Reasons
ZADC
ZDEA
ZECD
Statements
✓ 1. ZDEA and ZCEB are
vertical angles
ZBCD
ZEDC
ZCBE
ZCEB
Reasons
1. def. of vertical angles
ZDAE
In the given triangle, it should be noted that ADC is the same as BCD due to SAS congruence.
How to illustrate the information?From the information given,
AD = BC
BCD = ADC.
This depicts the concept of SAS. In this case, the two-sided will be equivalent.
Also, it should be noted that DAC and CBD are equal according to the vertical angle theorem.
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Answer:
see picture ....
Step-by-step explanation:
What is the net percent gained or lost on a stock with goes up 30% on monday and then drops 30% on tuesday? use a negative sign to indicate percentage lost.
Answer:
0 is the answer to the question
vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,
m = (0-7)/(8-3) = -7/5
Substitute any one of the points in the equation,
y = -(7/5)x + c
7 = -(7/5)3 + c
7 = -21/5 + c
76/5 = c
Hence, the equation of the line is y=-(7/5)x + (56/5).
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-35÷6=
-350÷6-350-6=
350 - 60 =
Answer:
The first one is 5.83 or -5 5/6
The second one is -414 1/3
The last one is 290
Which is the graph of the equation y-1=2/3(x-3)?
Answer:
The right graph
Step-by-step explanation:
Because the equation is in point slope form, we know it passes through (3,1) and has a slope of 2/3.
the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium
a. hydrogen
b. oxygen
c. sodium
d. carbon
e. helium
Answer:
The reference atomic mass is carbon-12 when calculating atomic masses.
Step-by-step explanation:
The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.
Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.
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