The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)
Answer:
Mean = 52 MAD = 47.3
Step-by-step explanation:
mean = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42 / amount of data = 572 / 11 = 52 MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85 / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72 = MAD =52-4.72 = 47.28
The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
What is mean and MAD?Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.
mean = sum of the terms / total number of terms
MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
mean = sum of the terms / total number of terms
[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]
[tex]=\frac{572}{11}[/tex]
= 52
Mean = 52
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
= 2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11
= 214 / 11
Mean absolute deviation = 19.45
Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
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Eight less than the product of a number and three (algebraic expression)
write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2
Answer:
3, 9, 81, 6561
Step-by-step explanation:
previous term × itself
[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]
f(1)=3[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]
[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]
[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]
HELP PLSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I need help in that too :(
Answer:
1 true
2true
3 false
4 false
Step-by-step explanation:
A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=0x+2
Step-by-step explanation:
Can someone answer this please I need it ASAP
Answer:
Frank scored 10 runs
B) the mean is 20
Step-by-step explanation:
Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?
The circumference of circle B would be; 74.98 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We have been given that Circle A has a circumference of 25 centimeters.
And Circle B's diameter is 3 times as long as circle A's diameter.
Thus, the Diameter of Circle B = 3 x the Diameter of Circle A
Since The circumference of the circle A = 2πr = 25
2πr = 25
r = 25/ 2π
r = 3.98 cm
The Diameter of Circle A = 2 x 3.98 = 7.96 cm
Since Diameter of Circle B = 3 x the Diameter of Circle A
Diameter of Circle B = 3 x 7.96 cm
= 23.88 cm
Radius = 23.88 / 2
Hence, the circumference of circle B = 2πr
= 2 x 22/7 x 23.88 / 2
= 74.98 cm
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6 (31 + 163 72)6 +2=
Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...
causation
interpolation
extrapolation
correlation
Answer:
Step-by-step explanation:
D
Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour
Answer:
572/55 = $10.4
or
(572 * 2)/ 55 = $20.8
Step-by-step explanation:
You divide the amount earned over the number of hours worked.
Or
if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.
Which equation does NOT have like terms to collect?
Answer:
15t+9r=2
Step-by-step explanation:
the terms which are the variables are not the same on any part of the equation
Solve pls brainliest
Answer:
In order: 7.5, 7.5061, 7.56, 9.213
Step-by-step explanation:
Find the total future amount for $500 invested at 2.02% for 5 years
compounded monthly.
State your answer in terms of dollars rounded to the nearest cent
(hundredth).
Do not include a $ sign with your response.
Correct Answer is but explain how
553.09
Which pair of angles are supplementary?
Answer:
1 and 7
Step-by-step explanation:
supplementary means that they add up to 180º
1,3 5,6 1,7
2,4 7,8 2,8
1,2 5,7 3,5
3,4 6,8 4,6
There are still some more but my hands are tired of typing.
Answer:
A: 1 and 7
Step-by-step explanation:
when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.
supplementary angles are 2 angles that together make 180.
out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.
Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print
Answer: It’s 18+0.15x divided by x so it’s B
Step-by-step explanation:
The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x
and F) A(x) = 18/x + 0.15.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.
The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.
A(x) = (18 + 0.15x)/x.
Also A(x) = 18/x + 0.15.
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Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial quotients Paloma should show in her work
A 20, 10
B 30, 10,1
C 10,10,10,1
D 10,10,10,10,1
−a^3 b^5 is a polynomial or not
Answer:
notStep-by-step explanation:
HOPE IT HELPS YOUBTW GOOD DAY TO YOUExpress as a trinomial.
(x-5)(3x-6)
(x−5)(3x−6)
The polynomial expressed as trinomial is 3x² - 21x + 30
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on the number of terms as binomial, trinomial.
Trinomial is a polynomial with 3 terms.
Given the polynomial:
(x - 5)(3x - 6)
= 3x² - 15x - 6x + 30
= 3x² - 21x + 30
The polynomial expressed as trinomial is 3x² - 21x + 30
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please help!
I can't solve for m, g, h, or k
x(x+6)=-8 quadratic equation
Answer:
x=-2 or x=-6
Step-by-step explanation:
x^2+6x+8=0
(x+2) (x+6)=0
x=-2 or x=-6
−2/9−(−1/3÷3/5)
PLZZZZ ANSWER TEST
Answer:
The answer should be 1/3 Also known as 0.3333
Help help please please
Step-by-step explanation:
=2(20)+2(14)
=2⋅20+2(14)
=40+2(14)
=40+2⋅14
=40+28
=40+28
=68
Answer:
P = 68Step-by-step explanation:
P = 2L + 2W
P = 2(20) + 2(14)
P = 40 + 28
P = 68//
The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
Show your solution follow the steps need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
solve pls brainliest
Solve what
I think ym forgot to add the question or sth
[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE
Answer:
[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]
Step-by-step explanation:
[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]
[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]
[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]
3x^2-24x+48 pls help me
Answer:
This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.
Step-by-step explanation:
Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:
x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4
If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4
Maria made 143 for 11 hours of work. At the same rate, how much would she make for 7 hours of work?
Answer:
She would make 91
Step-by-step explanation:
The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.
Find the difference. Simplify the
answer if possible.
15 9/15 - 11 1/3
A) 26 10/18
B) 4 4/15
C) -4 4/15
D) 4 8/12
D
Step-by-step explanation:
you subtract 15 and 11 = 4 then subtract 9-1 is 8 and then you find the common denominator