11 people x 138 = 1,518 total pounds.
13 people x 148 = 1,924 total pounds.
Difference = 1924 - 1518 = 406 pounds.
Average weight = 406/2 = 203 pounds
The average of the weight of the two people who arrived late for this considered case is found being 203 pounds.
How to find the mean of a data set?Mean(also called average) is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
Given that:
Average of weight of 11 people at party = 128New average of total 13 people at party (2 people came late) = 148Assume that:
Sum of weight of 11 people who came early = xSum of weight of 2 people who came late = yThen, we get:
Average of weight of 11 people at party =
[tex]\dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{x}{11} =138[/tex]
Thus, we get:
[tex]x = 11 \times 138 = 1,518 \: \rm pounds[/tex]
The weight of all 13 people is sum of weight of 11 people + sum of weight of those 2 people who came late = x + y, therefore, we get:
Average of weight of 13 people at party =
[tex]\dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{x+y}{13} = 148[/tex]
Thus, we get:
[tex]\dfrac{1518 + y}{13} = 148\\1518 + y = 13 \times 148\\\\y = 1924 - 1518 = 406 \: \rm pounds[/tex]
That means, sum of weights of 2 people who came late = 406 pounds.
Thus, average weight of the two people who arrived late = [tex]\dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{y}{2} = \dfrac{406}{2} = 203 \: \rm pounds[/tex]
Thus, the average of the weight of the two people who arrived late for this considered case is found being 203 pounds.
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I did not get the right answer, please help.
Answer:frfr it made hard
Step-by-step explanation:
3х - 8y = 24
у = х - 8
Answer:
the answer is x= 8, y= 0
if the measure of angle 1 is 80 then what is the measure of angle
2 ?
Answer:
80°
Step-by-step explanation:
angles 1 and 2 are called 'vertical' angles and are congruent
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20
Step-by-step explanation:
If total expenditure of firm is Rs. 1000 i). Price of labour (PL)is Rs 200. ii). |Price of capital (PK) is Rs. 100, then determine the budget line for the firm? (
Answer:
[tex]L + 2K = 200[/tex]
Step-by-step explanation:
Given
[tex]E=1000[/tex] --- Expenditure
[tex]L=200[/tex] --- Labor
[tex]K = 100[/tex] --- Capital
Required
Determine the budget line
First, we calculate the units of labor
[tex]U_1 = \frac{E}{L}[/tex]
[tex]U_1 = \frac{1000}{200}[/tex]
[tex]U_1 = 5[/tex]
Next, the units of capital
[tex]U_2 = \frac{E}{K}[/tex]
[tex]U_2 = \frac{1000}{100}[/tex]
[tex]U_2 = 10[/tex]
The budget line equation is:
[tex]U_1 * L + U_2 * K = E[/tex]
At this point, we take L and K as variables.
So, the equation becomes
[tex]5* L + 10* K = 1000[/tex]
[tex]5 L + 10K = 1000[/tex]
Divide through by 5
[tex]L + 2K = 200[/tex] -- Budget line equation
Pls help me either one of find
Answer:
the first one for sure.
Step-by-step explanation:
Evaluate the expression. 54 + 3 = 4096
Answer:
38
Step-by-step explanation:
i need help in this qs :0
Answer:3x+6=2x+21 base angle of isosceles triangle
3x-2x=21-6
X=15
<J=3×15+6=51
<k=2×15+21=51
,<I=180-51-51=78
Step-by-step explanation:
Which value or values for the variable x from the set below will make 10-2x4 true? please I'll give brainly
Answer:
im happy to help but what are the options?
Step-by-step explanation:
Which of the following equations represents a line that passes through the points (10,9) and (0,-6)?
I. 3x-2y=12
II. y= 3/2x - 6
- - - - - - - - - - -
1- neither
2- I only
3- II only
4 - I and II only
Answer:
4
Step-by-step explanation:
I saw karma so i came as fast as I could- welp anyways
Lets test the first equation and coordinate #1 first, 3x-2y=12, and (10,9).
Here we can substitute x as 10 and y as 9, and solve the equation to see if 3(10)-2(9) equals 12 or not.
30-18=12, yep
now lets test the second coordinate, (0, -6). Substitute x as 0 and y as -6, and solve the equation.
3(0)-2(-6)=12
0+12=12, yep
So I definitely works
For II, lets do the same thing
(10, 9) -- 9=3/2*10-6
9=15-6, works
(0, -6) — -6= 3/2*0-6
-6=0-6, also works
So uh therefore I and II both work you see what I mean-
i apologize in advance if i made you more confused than you already are-
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
C. 64
Hope that helps you
The value of the angle x is calculated as: ∠x = 64
How to find the value of the missing angle?Let the intersect of line SV and RT be Y
Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.
Since RT = TU, ∠TRU = ∠TUR = z
114 + z + z = 180
114 + 2z = 180
2z = 180 - 114
2z = 66
z = 66/2
z = 33
Line STU is a straight line and the angle of a straight line is 180. Thus:
114 + ∠STR = 180
∠STR = 180 - 114
∠STR = 66
Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:
66 + 31 + ∠SYT = 180
97 + ∠SYT = 180
∠SYT = 180 - 97
∠SYT = 83
But ∠SYT = angle RYV = 83
sides RYV form a triangle and the sum of all interior angles of a triangle is 180
33 + 83 + ∠x = 180
116 + ∠x = 180
∠x = 180 - 116
∠x = 64
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A circle has a radius of 50 cm. Which of these is closest to its area?
Answer:
Approximately 7853.98
Step-by-step explanation:
The formula to finding the area of a circle based on radius is [tex]\pi r^2\\[/tex], where r is radius. Hope this helped :D
The triangles are similar by the AA similarity postulate. Find the value of x
Answer:
2.5
Step-by-step explanation:
We know that they are similar and that the length of the long side is 3 + 3, which is 6. 6 = 3 times 2, meaning that all values in the big triangle are double the little triangle. That means that 2x = 5, meaning that x = 2.5.
.Mr. Morrison can do 120 jumping jacks in two minutes. Write an equation to represent how many jumping jacks Mr. Morrison can do in 5 minutes.
What is the value of | - 1/2 |
Answer:
1/2
Step-by-step explanation:
|x| is absolute value, and it can't be a negative number. It is 1/2.
find the given questions
9514 1404 393
Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
Find the measure of
Answer:
55
Step-by-step explanation:
since b is 110, you will have to divide 110 by 2 to find out the answer of c because its a half of b and that leaves you with 55, also a is 55 two
c=55
a=55
d=30
Answer:
∠C = 110°
Step-by-step explanation:
the figure is a kite so a line from B to D would bisect those angles and for a triangle that contains a total of 180°.
180° - 1/2(110° + 30°) = 180° - 1/2(140°) = 180° - 70° = 110°
8. There are 575 students in a school. If the number of girls is 54 more than the boys
how many boys are there in the school ?Find it.
Step-by-step explanation:
here's your solution
=> total number of student = 575
=> let the number of boys be x
=> then the number of girls = x + 54
=> a/q , x + x + 54 = 575
=>.2x + 54 = 575
=>. 2x = 575 - 54
=> 2x = 521
=> x = 521/2
=> x = 260.5
=> number of girls = 260.5+ 54.
=> 314.5
After getting new carpet installed, Antonio noticed that the door would not close. He trimmed to of an inch off of the bottom of the door to see if it would help. After doing this three more times, the door finally closed. If the door was originally 84 inches tall, how tall was it after he trimmed it?
(PLEASE HELP THIS IS 90℅ IN MY GRADE)
wait, what does to of an inch mean?
PLEASE HELP PLEASE ! 50 POINTS!
Answer:
From left to right:
x=-9
x=-23
x=24
x=8
x=-9
x=-28
Step-by-step explanation:
63/-7=-9
-15-8=-23
12*2=24
-4*-2=8
-20+11=-9
-7*4=-28
-7x=63 answer is -9
x + 8=-15 answer is -7
1/2x=12 answer is 24
x/-2= -4 answer is 8
x-11=-20 answer is -9
1/4x=-7 answer is -28
Tell whether the angles are adjacent or vertical. Then find the value of x.
if you can explain that would be great
Answer:
D
Step-by-step explanation: the answer is d because the other half without the equations is = to 180 which is a semi circle. This means that the other half must be 180 too because a circle is 360. I did trial and error and plugged in all the numbers.
Hope I could help!
Answer:
option D .35
Step-by-step explanation:
2x+3x+5=180 linear pair
5x=180-5
x=175/5=35
Look at the box-and-whisker plot below comparing the scores from Pre-test A and Pre-test B. What is the difference of the lower quartiles of Pre-test A and Pre-test B?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the box and whisker plots for the Pre-test A and the Pre-test B are not given. I will answer this question with the attached image.
The attached image contains three plots.
The first plot shows the description of how to read the box and whisker plot.
From the description image, the following represents the summary of the plot
The green line: Minimum
The blue line: Lower Quartile (Q1)
The red line: Median (Q2)
The yellow line: Upper Quartile (Q3)
The last green line: Maximum
Using the above descriptions to read the pre-test A and pre-test B plots.
The lower quartile of pre-test A is:
[tex]Pre\ test\ A = 11[/tex]
The lower quartile of pre-test B is:
[tex]Pre\ test\ B = 16[/tex]
The difference (D) is calculated as:
[tex]D = |Pre\ test\ A - Pre\ test\ B|[/tex]
[tex]D = |11 - 16|[/tex]
[tex]D = |- 5|[/tex]
[tex]D = 5[/tex]
The difference is 5
Use the above explanation to answer your question
An item is regularly priced at $34. Reuben bought it on sale for 10% off the regular price.
Answer:
New price is $30.6
Step-by-step explanation:
10% of 34 is 3.4
34 - 3.4 = 30.6
A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?
Answer:
2,820 m
Step-by-step explanation:
Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.
The perimeter p of a rectangle of length l and width b is given as
p = 2(l + b)
Hence p = 2( 250 + 220)
= 2 * 470
= 940 m
Since each side is to be fenced with 3 rows of wires, the length of wire required
= 3 * 940m
= 2,820 m
Please help me find the value of x
Answer:
7
Step-by-step explanation:
[tex](tangent)^{2}[/tex] = AC × CB
[tex]12^{2}[/tex] = ( x + 9 ) 9
144 = 9x + 81
9x = 144 - 81
9x = 63
x = 63 ÷ 9
x = 7
ahshepfnshaudjfornds
(word count lol)
Answer:
455666
124
Step-by-step explanation:
A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?
9514 1404 393
Answer:
14.2 years
Step-by-step explanation:
The value is described by the exponential function ...
y = (initial value)·(decay factor)^x
where y is the value after x years.
The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...
6000 = 23900·0.9075^x
6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900
log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms
x = log(6000/23900)/log(0.9075) ≈ 14.2396
It will be about 14.2 years until the value of the car is $6000.
Answer:
14.2
Step-by-step explanation:
We just saw an example of "Survival of the fittest" with the rabbits that survived. We often use this as an expression to describe natural selection. Use another example (any example you can think of and IN YOUR OWN WORDS) to explain how survival of the fittest (aka natural selection) leads to evolution.
Answer:
If only the fittest survive in certain enviorments other animals have to evolve to live in different places
Step-by-step explanation:
THIS IS NOT A SAMPLE RESPONSE:
Natural selection can lead to evolution by some organism evolving into something to were they dont get hunted as much by a characteristic they evolved with.
it worked for me good luck hope it helps!
The area of a square is greater than the area of the circle by 12 cm^2. Find the length of the side of a square if the area of the circle is 36 cm^2?
Answer:
Adding 12 to the circle area is equal to the square area.
Or
s2 = 12 + A
Where
s = side of square
A = area of circle
So
s2 = 12 + 36
s2 = 48
Solve this for s to get the side length
