Answers
Answer:
Standard Deviation = 3.22
Variance = 10.36
Step-by-step explanation:
x P(x) x × P(x) x² x² × P(x)
19 0.20 3.8 361 72.2
10 0.20 2 100 20
11 0.30 3.3 121 36.3
12 0.20 2.4 144 28.8
13 0.10 1.3 169 16.9
____________________________________________
12.8 174.2 => Total
Mean Formula
[tex]\mu_x = \sum(x \times P(x))[/tex] [tex]= 12.8[/tex]
[tex]\mu_x^2 = 163.84[/tex]
Variance Formula
[tex]\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2[/tex]
[tex]= 174.2- 163.84\\\\=10.36[/tex]
Standard Deviation Formula
[tex]Standard\ deviation, \ \sigma_x = \sqrt{Variance}[/tex]
[tex]=\sqrt{10.36}\\\\=3.218[/tex]
Related Questions
Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers
Answers
Answer:
2.64 km
Step-by-step explanation:
The first step is to calculate the distance in meters
= 24×110
= 2640 meters
1km= 1000 meter
2640 meters to kilometer
= 2640/1000
= 2.64 kilometers
Hence the distance is 2.64 km
.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA
Answers
Answer:
B
Step-by-step explanation:
y = k/(x + 3)
Let x = 2
Let y = 8
k = ?
8 = k/(2 + 3) Combine the terms on the right
8 = k/(5) Multiply both sides by 5
8*5 = k
k = 40
Let x = 7
y = 40/(7 + 3)
y = 40/10
y = 4
b) Find x and y.
x = 10-6
Answers
Answer:
to find y you have to do trigonometry
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answers
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.
Answers
Answer:
16
Step-by-step explanation:
4 option: Pork, chicken, beef, or veggie burritos.
and for each of the 4 options: rice, beans, hot or mild salsa.
4x4=16
Example:
Pork with rice
Pork with beans
pork with hot salsa
pork with mild salsa
etc.
Pork: 4 possibility
Chicken: 4 possibility
Beef: 4 possibility
Veggie burritos: 4 possibility
4+4+4+4=16
Hope this answer help you.
When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.
Answers
Answer:
Temperature after 10 minute = 27.9 degree Celsius
Step-by-step explanation:
Current temperature, P = 100 degree Celsius
% rate in temperature loses = 12% per minute = 0.12
Time, t = 10 minutes
Temperature after t minutes ,
[tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]
= 27.9 degree Celsius
How do I solve this?
Answers
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answers
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
Help me I will give you brain list if you answer this first
Answers
What is the area of this figure?
Enter your answer in the box
Answers
Answer:
and this is why I do not like math also all u got to do is count all the squares and the corners do not count as wholes u got to put two together and then it makes a whole
Step-by-step explanation:
its just that easy :D hope it was helpful
How many in five days?
Answers
Answer:
d
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values
Answers
Answer:
Step-by-step explanation:
Average rate of change of a function between interval x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Average rate of change of the function in the interval [-4, -2]
= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]
= [tex]\frac{0-(-12)}{-2+4}[/tex]
= 6
Average rate of change in the interval [-2, 1]
= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]
= [tex]\frac{3-0}{1-(-2)}[/tex]
= 1
Average rate of change in the interval [-3, 1]
= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]
= [tex]\frac{3-(-5)}{1+3}[/tex]
= 2
Average rate of change in the interval [-4, 0]
= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]
= [tex]\frac{4-(-12)}{0-(-4)}[/tex]
= 4
I swear there are never tutors
Answers
Answer:
5-2y (the last option)
hope this helps!
please give brainiest<3
Answer:
2y-5
Step-by-step explanation:
Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check to pay her to pay her credit card bill of $125.43. how much must Tawana deposit in her checking account to maintain atleast the minimum balance?
hi
Answers
Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.
Hence, the answer is $99.89.
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answers
Step-by-step explanation:
Feel free to ask for more help. I love Linear Algebra
Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.
Answers
Answer:
x = 20
Step-by-step explanation:
The triangles are similar
3 (3+5)
----- = ----------
12 (12+x)
Using cross products
3(12+x) = 12*(3+5)
3(12+x) = 12*8
3(12+x) = 96
Divide by 3
3(12+x)/3 = 96/3
12+x = 32
Subtract 12
12+x-12 =32-12
x = 32-12
x =20
14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the
day. He counted the following number of cars the first four hours of the day.
.
13
12 cars the first hour
.
24 cars the second hour
14
.
36 cars the third hour
.
48 cars the fourth hour
15
16
What is true of the function Thomas wrote that represents the number of cars as a function
of the number of hours, h? Select all that apply.
a. The function is linear
b. The function is exponential.
c. The common ratio is 12
d. The common difference is 12.
Answers
Answer:
D
Step-by-step explanation:
it is because each number is gotten by adding 12 to the previous number
Perform the indicated operation.
(16m2 + 40m + 25) ÷ (4m + 5) = _____
4 m + 5
4 m + 15 R. 100
4 m + 15 R. -50
4 m + 5 R. 50
Answers
Step-by-step explanation:
the answer is 4 m + 5 and my workings and the image above
Answer:
[tex]4m + 5[/tex]
Step-by-step explanation:
[tex](16 {m}^{2} +40m+25)÷(4m+5)[/tex]
[tex] \frac{16 {m }^{2} + 40m + 25}{(4m + 5)} [/tex][tex] \frac{(4 m + 5 {)}^{2} }{4m + 5} [/tex][tex]4m + 5[/tex]
Hope it is helpful....y = x2
-2
What is the Domain:
Answers
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
25 [tex]\sqrt{x}[/tex] 64 +187
Answers
Answer:
x = 17/4 = 4.250
x = 11/2 = 5.500
Step-by-step explanation:
Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?
Answers
Answer:
The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57
Step-by-step explanation:
x = PER page
y = total
Online scrapbooking equation:
y = 45 + x
Family friend equation:
y = 9 + 4x
Where prices (y) would be equal:
y = 45 + x (Multiply this by -4)
y = 9 + 4x
y = 9 + 4x
-4y = -180 - 4x
-3y = -171
y = 57
y = 45 + x
-y = -9 - 4x
0 = 36 - 3x
3x = 36
x = 12
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answers
Answer:
a is the answer because I just did that question and got 100 percent.
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answers
Answer:
B
Step-by-step explanation:
The equation of Nolan's line is
The slope-intercept form of a line is given by:
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
Hence,
The equation of Nolan's line is
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answers
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
k(jjjjjjjjhuyt67 in bbkl
Simply as much as possible.
4.4b-2.6b
Answers
Answer:
1.4b
Step-by-step explanation:
4b-2.6b
4.0-2.6=1.4
4b-2.6b=1.4b
Answer:
1.8b
Step-by-step explanation:
4.4b - 2.6b
subtract we get
1.8 b
Which of the follwing are true statements about a 30-60-90 triangle?
Answers
Answer:
A and E
Step-by-step explanation:
The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3
Answer:
A. and E.
Step-by-step explanation:
The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.
Please help me with this
Answers
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
help i give many points
Answers
Answer:
Step-by-step explanation:
The pic doesnt wrk comment question and ill answer
I don’t know the answer
Answers
Answer:
c = 10.5
Step-by-step explanation:
Formula: the product of the lengths of the segments of one chord equal the product of the segments of the other.
a •d = c • b
7*12 = c*8
84 =8c
Divide by 8
84/8 = 8c/8
10.5 = c
Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Answers
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
