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Explanation:
First we need the arithmetic mean
Add up the values to get 1+2+4+4+5+6+6 = 28
Divide this over the number of values (n = 7) to get 28/n = 28/7 = 4
The mean is 4.
Next, we subtract the mean from each data value and square the difference
(1-4)^2 = 9(2-4)^2 = 4(4-4)^2 = 0(4-4)^2 = 0(5-4)^2 = 1(6-4)^2 = 4(6-4)^2 = 4Add up those results: 9+4+0+0+1+4+4 = 22
Lastly, we divide over the number of items (n = 7) to get the population variance: 22/n = 22/7 = 3.14 approximately
----------
Side note:
If you wanted the sample variance, then you divide over n-1 = 7-1 = 6
22/(n-1) = 22/6 = 3.67 is the approximate sample variance
The shape of a carpet is a semicircle. Use 22 7 as an approximation for π. a) Find its area. b) Janice wants to put a fringed border on all sides of the carpet. How many feet of fringe are needed?
Answer:
Step-by-step explanation:
The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
given that,
The shape of a carpet is a semicircle.
from the given diagram, we get, the diameter = 14ft
now, we know that,
area of the semicircle = πr²/2
here, we have,
diameter = 14 ft
so, radius = 14/2 = 7 ft
so, area = π*7²
= 153.94
a.) so, area of the semicircle = 76.97 ft^2
again,
b) Janice wants to put a fringed border on all sides of the carpet,
so, the perimeter = π r + d
= 36ft
Hence, The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
To learn more on Area click:
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Y = -16x^2 + 119x + 57
Answer:
y1=-6.92
y2=-0.5146
Step-by-step explanation:
Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points.
f (x, y) = x^2 + y^2 + 2xyf(x,y)=x 2 +y 2 +2xy
Answer:
[tex]y =-x[/tex] ---- critical point
local minima
Step-by-step explanation:
Given
[tex]f(x,y) = x^2 + y^2 + 2xy[/tex]
Required
Determine the critical point
Differentiate w.r.t x
[tex]f_x =2x + 2y[/tex]
Differentiate w.r.t y
[tex]f_y =2y + 2x[/tex]
Equate both to 0
[tex]2x + 2y =0[/tex]
[tex]2y =0-2x[/tex]
[tex]2y =-2x[/tex]
Divide by 2
[tex]y =-x[/tex] ----- in both equations
Hence:
The critical point is: [tex]y =-x[/tex]
Solving (b):
We have:
[tex]f_x =2x + 2y[/tex]
[tex]f_y =2y + 2x[/tex]
This is represented as:
[tex]D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right][/tex]
Calculate the determinant
[tex]|D| =2 * 2 -2 * 2[/tex]
[tex]|D| = 4-4[/tex]
[tex]|D| = 0[/tex]
The critical point is at local minima
how do you solve this math problem
using substitution n=5n n=2/3m-13
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
fraction 1 over 3 ft3
fraction 1 over 2 ft3
fraction 1 over 9 ft3
fraction 1 over 27 f
Answer: A
Step-by-step explanation its easy
Answer:
C. fraction 1 over 9 ft3
Step-by-step explanation:
Hope I helped!!
Find the area of the goat pen.
500 m
65 m
O
32,500 m2
32,000 m2
32,500 m3
32,000 m
32,500 m
Answer:
option a is right hope it may help u
Step-by-step explanation:
cz area unit always comes in square
and volume comes in cube so don't be confused
[tex]32,500 {m}^{2} [/tex]
Q6. Yesterday Aaron ran 5 km. This morning Aaron ran 4 km. How far did Aaron run altogether?
warnment elections
Iof the votes for treasurer and
07
Answer:
9 km
Step-by-step explanation:
you add the distance Aaron ran
Clue #2: You use a total of 11 base ten blocks to show this number. The
number of tens blocks is greater than the number of ones blocks.
Clue #3: 9,4 and 6 are all not a digit in the number.
Answer:
12
Step-by-step explanation:
Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working
Answer:
[tex]14\text{ and }16[/tex]
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].
Therefore, we have the following equation:
[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]
Thus, the larger number is [tex]x+2=\boxed{16}[/tex]
Which equation is equivalent to f(x) = -3(x-2)^2 + 14?
Answer:
-3x² + 12x + 2
Step-by-step explanation:
[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]
How would write 0.5, 0.65, 2.35, and 1.06 in expanded forms
Answer:
0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06
Step-by-step explanation:
expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.
All of the following are advantages of self-imposed budgets except:_______.
a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.
b. Motivation is generally higher when individuals participate in setting their own goals than when the goals are imposed from above.
c. Individuals at all levels of the organization are recognized as members of the team whose views and judgments are valued by top management
d. Self-imposed budgeting may allow lower-level managers to create budgetary slack.
Answer:
a. Budget estimates prepared by front-line managers are often more accurate and reliable than estimates prepared by top managers who have less intimate knowledge of markets and day-to-day operations.
Step-by-step explanation:
The following is the exception in the self-imposed budgets among other listed statements.
please answer both questions thanks
Answer:
5. tan(25) = 12/x
x · tan(25) = 12
x = 12/tan(25)
= 25.734
≈ 25.73
6. tan(52) = x/3.4
x = 3.4tan(52)
= 4.352
≈ 4.4
Find the next two geometric terms 3/20, 1/5, 4/15,
Answer:
a_5 = 1,500
Step-by-step explanation:
1. Determine the given of the problem.
a_n – unknown sequence
a_1 – 3/20
r – ((3⁄2)/(3⁄20)) = 10
n – 5
2. Substitute the given to the formula of the geometric sequence.
a_n = a_1 r^(n-1)
a_5 = (3/20) (10)^(5-1)
3. Solve the given problem.
a_5 = (3/20) (10)^(5-1) - Subtract the exponent.
a_5 = (3/20) (10)^(4) - Multiply 1/10 to the exponent.
a_5 = (3/20)(10000) - Multiply it.
a_5 = (30000/20) - Divide it.
a_5 = 1,500 - Answer of the problem.
the answer is 1500
correct me if you want
Find the perimeter of the figure.
Answer:
A) 60
Step-by-step explanation:
P = 5+5+11+9+(5+11)+(9+5)
P = 60
Answer:
A. 60 m
Step explanation:
Perimeter for the small cube
5+5+5+5=20
Perimeter for the rectangle
9+9+11+11=40
Add 20 plus 40 to find the perimeter for the whole shape
20+40=60
Hope this helps
Solve by factoring: WRITE IT AS A FRACTION
6x^2 - 13r = -2
Answer:
2/6
Step-by-step explanation:
A tosses one coin and B tosses two coins. The winner is the player who gets the most heads. In case of an equal number of heads A wins. (a) Compute the probability that B wins given that A gets 0 heads. (b) Compute the probability that B wins given that A gets 1 heads. (c) Compute the probability that B wins. (d) Change the game so that A tosses 2 coins and B tosses 3 coins. The winner is still the player who gets the most heads. In case of an equal number of heads A wins. Compute the probability that B wins in the new game.
Answer:
a) 3/4
b) 1/4
c) 1/2
d) 1/2
Step-by-step explanation:
A tosses one coin while B tosses two coins
a) P( B wins given A gets 0 heads )
In this scenerio for B to win, he needs to get at least 1 head i.e. P( B gets at least one heads)
= 1 - P(B get no head)
= 1 - (1/2)^2 = 3/4
b) P( B wins given A gets 1 head )
For B to win when A gets 1 head means that B will have to get 2 heads
i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4
c) P( B wins )
P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)
= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2
d) P ( B wins the new game )
Given that: A tosses two(2) coin while B tosses three(3) coins
P( B ) = P(A gets 0 head and B gets one head) + P(A get 1 head and B get 2 or 3 heads ) + P(A get 2 head and B gets 3 heads )
=[ (1/4 *(1 -1/8) ] + (1/2 * 1/2) + ( 1/4 * 1/8 )= 1/2
What is the exponent for x when the radical 18 is simplified completely?
Answer:
x⁶
Step-by-step explanation:
[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]
A square patio has an area of
81 m2
. How long is each side?
Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex] Given
[tex]\displaystyle 2)\, BD\cong CD[/tex] Definition of Midpoint
[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex] Definition of Perp. Lines
[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex] Substitution
[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex] Definition of Congruence
[tex]\displaystyle 6)\, AD\cong AD[/tex] Reflexive Property
[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex] SAS Congruence
what is the slope of the line that passes through (7,-3) and (-5,-1)
Answer:
i dont know
Step-by-step explanation:
You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.
Remember that y2 - y1 / x2 - x1 = m
m= slope
PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
Ok Its not that hard actually
Step-by-step explanation:
but still too much for me plz give brainliest to meee
Answer:
21
Step-by-step explanation:
4x-2=3x+19
4x-3x=19+2
x=21
Can you figure this out? Math kills me!
Answer:
m equals 27
Step-by-step explanation:
m+7=34
-7 = -7
m = 27
Answer:
m+7 =34
m=34-7
m=27
First option is the answer
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 24 in
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(24 in)²Evaluate exponents: A = 3.14(576 in²)Multiply: A = 1808.64 in²Round: A ≈ 1809 in²Answer:
Area of circular table is 1,809 inches².
Step-by-step explanation:
Area of circular table is given by
Area = π r²
substitute the values
Area = 3.14 × ( 24 inches )²
evaluate the exponent
Area = 3.14 × 576 inches²
multiply the numbers
Area = 1,808.64 inches ²
Round
Area = 1,809 inches²
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
on the scale of a map 4 cm represent 20 km if the distance between two points is 10 cm what is the actual distance between this points
Answer:
50 km
Step-by-step explanation:
Given
[tex]r = 4cm : 20km[/tex] -- Scale ratio
Required
Actual representation of 10cm
Let the actual measurement be x.
So, we have:
[tex]r =10cm:x[/tex]
Equate both value s of r
[tex]10cm : x = 4cm : 20km[/tex]
Express as fraction
[tex]\frac{x}{10cm } =\frac{20km}{4cm}[/tex]
Multiply by 10cm
[tex]10cm * \frac{x}{10cm } =\frac{20km}{4cm} *10cm[/tex]
[tex]x =\frac{20km}{4} *10[/tex]
[tex]x =5km *10[/tex]
[tex]x =50\ km[/tex]
Please help, I’m so lost question in picture
Graph the line with slope - 1 passing through the point (-3, 3).
Answer:
Y=-x
Step-by-step explanation:
Y=mx+c
y=3, x= -3, m=-1
(-1)(-3)=3
3-3=0
S0,
c=0
y=-x
Answer:
This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!
Step-by-step explanation:
3 liters split into 10 people equally?
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
Hellpppp I’m stuck......
I’m just gonna guess but I think 6