The data value that is an outlier is 67
How to determine the outlier?The dataset is given as:
83, 84, 85, 87, 89, 88, 67, 79, and 81
To determine the outlier, we select the data values that are relatively far from others
In the above dataset, the data element 67 is far from other data values
Hence, the data value that is an outlier is 67
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List the first 4 terms of a geometric sequence with the first term of 2 and a common ratio of 5.
Answer:
2, 10, 50, 250
Step-by-step explanation:
For geometric sequences, multiply the previous term by the common ratio.
Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.
Our starting term is 2. So that is automatically the first term of the four.
Second term:
[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]
Third term:
[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]
Fourth term:
[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]
The diagram shows line MN graphed on a coordinate plane.
Determine the slope of line MN.
Determine the length of line MN.
Answer:
slope has a gradient of -3/5
Step-by-step explanation:
change in y / change in X
-6 / 10
for the length use Pythagoras
*TIMID* The spinner is divided into 8 equal sections.
A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.
Which two events have the same probability?
options:
P(gray), P(green)
P(red), P(gray)
P(gray), P(purple)
P(yellow), P(gray)
What would the new coordinates be for A if the triangle was reflected over the y-axis?
triangle
(1,-1)
(-1,-1)
(-1,1)
(1,1)
Answer:
Point A:
(1, 1) -----> (-1, 1)
Step-by-step explanation:
When reflecting over the y-axis, take the opposite of the x-coordinate. That means if the coordinate is positive then it becomes negative, and if it is negative then it becomes positive.
(x, y) -------> (-x, y)
Point A:
(1, 1) -----> (-1, 1)
A van can ferry a maximum of 12 people.By setting up an inequality , find the minimum number of vans that are needed to ferry 80 people.
Answer:
Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people
Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.
Now 12 people can go in 1 bus.
Therefore 1 person can go in 1/12 bus
Now 1 person can go in 1/12 bus
Therefore 80 people can travel in 1/12 x 80
= 6.6
= 7
Therefore minimum buses needed will be 7
Now we can write inequality as 12 x x > = 80
Or x ≥ 80 / 12
or x > = 6.6
Step-by-step explanation: Hopes it help
Please mark my answer as a brainliest!
A farmer has 324 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area?
The dimensions of each pen will maximize the total enclosed area are: Length 81 feet; Width 81 feet.
Dimension of each pen
Length = x
Width = y
Area = xy
Perimeter equation is
2(x + y) = 324
x + y = 162
Substituting the perimeter equation
Area = x(162 - x)
Area = -x2 + 162x
If the zeros of the quadratic are 0 and 162, then the median will be where the maximum area occurs.
162/ 2
= 81
Hence, the dimensions are
Length = 81 feet
Width = 162 - 81 = 81 feet
Therefore the dimensions of each pen will maximize the total enclosed area are: Length 81 feet; Width 81 feet.
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If the exchange rate when converting US Dollars to ZA rands is $1=R17
How much is Zar3400 in US DOLLARS
Answer:
200 US DOLLARS
Step-by-step explanation:
Given; $1=R17
To find: How much is Zar3400 in US DOLLARS
$1=R17
R3400=3400/17 US DOLLARS
=200 US DOLLARS
Hope my answer is right thank you.
Help please! Giving brainliest! Determine weather x and y show direct variation. If so, identify the constant of variation.
y=3x+2
Answer:
not direct variation
Step-by-step explanation:
You want to know if the equation y = 3x +2 represents a direct variation between x and y.
Direct variationDirect variation is characterized by the equation ...
y = kx
for a constant of variation k. The point (0, 0) is on a graph of direct variation.
Given equationThe given equation is not in this form, and cannot be put in this form. The value of y when x=0 is not 0, so the variation is not direct.
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The following are the temperatures of 10 days in winter in °C.
8, 2, 1, 5, 1, 10, -2, 4, -2, 6
Work out the mean temperature.
0
°C
Answer:
ok so
Step-by-step explanation:
add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3 degrees celsius
4. What is the slope of a line that is parallel to the line shown?
Answer:
0.2÷3.0=15.0
Step-by-step explanation:
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
can you guys help me with this question
The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
[tex]A_{circle}=radius^2*\pi[/tex][tex]A_{circle}=(14\ cm)^2*\frac{22}{7}[/tex]Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
[tex]A_{circle}=(14)^2*(cm)^2*\frac{22}{7}[/tex][tex]A_{circle}=196*cm^2*\frac{22}{7}[/tex][tex]A_{circle}=196\ cm^2*\frac{22}{7}[/tex]Multiply
[tex]A_{circle}=\frac{196\ cm^2\ *\ 22}{7}[/tex][tex]A_{circle}=\frac{4312\ cm^2}{7}[/tex]Simplify the expression
[tex]A_{circle}=\frac{4312\ cm^2/7}{7/7}[/tex][tex]A_{circle}=\frac{616\ cm^2}{1}[/tex][tex]A_{circle}=616\ cm^2[/tex]Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle: πr²
Given:
π = ²²⁄₇r (radius) = 14 cmSubstitute the given values into the formula:
[tex]A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616[/tex]
Therefore, the area of the circle is 616 cm².
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which one the following is an equation of a line parallel to the equation y=-5x-1?
Grace buys a set of 14 notebooks. Each notebook has 85 pages. What is the total number of pages for all the notebooks?
Answer: 1190 pages
Step-by-step explanation:
The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.
14×85=1190 pages
A sack of pet food costs $15.50.if you buy two sacks the shop only charges $13.25 per sack.What is the percentage discount per sack when you buy two sacks?
The percentage discount per sack when you buy two sacks is 14.5%
How to determine the percentage discount?The given parameters are:
Cost per sack = $15.50Discount cost = $13.25The percentage discount is calculated as:
[tex]Percentage = \frac{Cost - Discount}{Cost} * 100\%[/tex]
This gives
[tex]Percentage = \frac{15.5 - 13.25}{15.5} * 100\%[/tex]
Evaluate
Percentage = 14.5%
Hence, the percentage discount per sack when you buy two sacks is 14.5%
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An online furniture store sells chairs for $200 each and tables for $650 each. Every
day, the store can ship a maximum of 45 pieces of furniture and must sell no less than
$16000 worth of chairs and tables. If a represents the number of tables sold and y
represents the number of chairs sold, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
(a, y) = (10, 25)
Step-by-step explanation:
The two constraints give rise to two inequalities: one for the maximum number of pieces shipped, and one for the minimum revenue. A solution is a point on the graph where the inequality solutions overlap.
__
inequalitiesWe're told to use 'a' for the number of chairs, and 'y' for the number of tables.
a +y ≤ 45 . . . . . . the maximum number that can be shipped is 45
200a +650y ≥ 16000 . . . . . revenue must be at least 16000
graphThe line for the revenue equation has a slope of -200/650 = -4/13. The solution space is above this line.
The line for the quantity shipped equation has a slope of -1, somewhat steeper. The solution space is below this line.
The boundary lines combine to define a wedge-shaped solution area in the left part of the first quadrant. One point that can be found in that area is ...
(a, y) = (10, 25)
One possible solution is to sell 10 chairs and 25 tables.
i need help pls i will give brainliest
Answer:
FA: Chord
BO: Radius
CO: Radius
DO: Radius
EO: Radius
CE: Diameter
Step-by-step explanation:
Hello!
Some lines in a circle:
Chord: has two end points on the circle's perimeter, but it doesn't cross the center of the circleRadius: A line segment that starts at the center of the circle to any point on the outer perimeter. A circle has infinitely many Radii.Diameter: two end points on a circle that goes through the center. It is the measure of 2 Radii.Segment FA
This has endpoints inside the circle, but doesn't go through the center. This is a chord.
Segment BO
BO has an endpoint on the center and and an endpoint on the perimeter. This is a radius.
Segment CO
This is also a radius, it has an endpoint on the center and another endpoint on its perimeter.
Segment DO
This is a radius, it has n endpoint on the center and another endpoint on the perimeter
Segment EO
Another radius, with a an endpoint on the center and another endpoint on the perimeter.
Segment CE
A diameter. It has two endpoints on the perimeter of the circle and goes through the center of the circle.
The error term in a regression equation is said to exhibit homoskedasticty if _____. a. it has the same value for all values of the explanatory variable b. if the error term has a value of one given any value of the explanatory variable c. it has the same variance for all values of the explanatory variable d. it has zero conditional mean
The error term in a regression equation is said to exhibit homoscedasticity if it has the same variance for all values of the explanatory variable.
What is Homoscedasticity?This is a condition in which equal variance is assumed for different groups of data or variables.
The same variance will be observed in the variable in the error term of a regression equation hence option C was chosen.
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Each pepperoni slice is 78 of an inch long and costs $0.03. Exactly enough pepperoni slices are laid end to end to have a total length of 56 inches. What is the total cost of these pepperoni slices?
The total cost of these pepperoni slices is $1.92
What is the total cost of these pepperoni slices?
Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:
N*(7/8 in) = 56 in
Now we can find the value of N, the number of slices used:
N = (8/7)*56 = 64
And each slice costs $0.03, then the cost of the 64 slices is:
C = $0.03*64 = $1.92
The total cost of these pepperoni slices is $1.92
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x - 4x² + 2x³
What is the degree of the polynomial?
Answer:
3
The degree of a polynomial is the highest power of any variable in the polynomial equation.
Here the highest power is 3 of the monomial with co-efficient of 2.
What are the sides of ∠E?
Answer:
C. FE and ED
Step-by-step explanation:
The question is asking what are the sides of angle E. I've marked angle E along with its sides in the attached picture.
One side of the angle E has to be ED.
However we have multiple options for the other side. It can be called FE, CE or BE.
So the answers could be any of:
- ED and FE
- ED and CE
- ED and BE
The option that has one of the possible answers is option C: FE and ED.
PLEASE HELP ASAP!!!!
Im trying to get everything on my overdue list done- but most of its math anyone help?
The total surface area of the given pyramid is:
A = 39ft²
How to get the surface area of the given figure?
The total surface area will be equal to the sum of the areas of the square and the 4 triangles.
Remember that for a square of side length S, the area is:
A = S².
In this case, S = 3ft, then:
A = (3ft)² = 9ft².
Now, the area of a triangle of base B and height H is:
A = B*H/2.
Here we can see that the triangles have a base of 3ft (the sides of the square) and a height of 5ft, then the area of each triangle is:
A = (3ft)*(5ft)/2 = 7.5 ft²
Then the total area of the figure is:
A = 4*(7.5 ft²) + 9ft² = 39ft²
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Can someone help me solve this.
[tex]\huge\underline{Answer -}[/tex]
[tex] \huge{\implies \: \frac{ - 2 \frac{1}{4} }{ - \frac{ 2}{3} }} \\ \\ \\ \\ \huge{\implies \: \frac{ \frac{ - 9}{4} }{ \frac{ - 2}{3} } } \\ \\ \\ \\ \huge{\implies \: - \frac{9}{4} \div (\frac{ - 2}{3} )}[/tex]
therefore , option ( 2 ) is correct.
hope helpful -,-
Which statement about y = x^2 – 13x + 36 is true?
Work out the circumference of this circle.
Give your answer in terms of pi.
Answer:
[tex]\huge\boxed{\sf C = 12\pi \ mm}[/tex]
Step-by-step explanation:
Given that:Radius = r = 6 mm
Required:Circumference = C = ?
Formula:C = 2πr
Solution:C = 2(π)(6 mm)
C = 12π mm
[tex]\rule[225]{225}{2}[/tex]
Answer:
12π mm
Step-by-step explanation:
Circumference of a circle is given by the formula :
2πr
where r is the radius
We substitute our radius value from the diagram to find our answer:
2×π×r = 2×π×6
12×π = 12π
Units will me mm since this is a length
This is our final answer since we are told to leave it in terms of pi.
Hope this helped and brainliest please
6% of 950 is what number?
Answer:
57
Step-by-step explanation:
Answer:
57Step-by-step explanation:
6% of 950 simply means6/100 × 950= 57therefore, 6% of 950 is 57trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta
Answer:
B
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract 1 from both sides )
sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )
cos²x - 1 = - sin²x
then
[tex]\frac{cos^20-1}{4sin^20}[/tex]
= [tex]\frac{-sin^20}{4sin^20}[/tex] ← cancel sin²Θ on numerator and denominator
= [tex]\frac{-1}{4}[/tex]
= - [tex]\frac{1}{4}[/tex]
Find the slope of the line: x+4y+8=0
A) -4
B) 1/4
C) -1/4
D) 4
Answer:
C) -1/4
Step-by-step explanation:
respuesta .... es la opcion c
I have a question? can yall answer it please