Answer:
(a) 100
(b) 10.27
Step-by-step explanation:
We are given
No of elements = 15
Σ(x-c) = 72,Σ(x-c)^2 = 499.6
,where c is a constant
and the sample mean is 104.8.
(a) lets take into account Σ(x-c) = 72
this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c
so the equation becomes Σxi -15c = 72, ............(1)
where xi means the sum of the elements of x from 1 to 15.
we are given the mean as 104.8
this means that Σxi/15 = 104.8
Σxi = 15*104.8 = 1572 .............(2)
substituting (2) in (1)
we get
1572 - 15c = 72
15c = 1500
c = 100
(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.
so the variance is
σ^2 = Σ(x-c)^2/15 - (Σ(x-c)/15 )^2
= 499.6/15 - (72/15)^2
= 33.31 - 23.04
σ^2 = 10.27
Therefore the variance of the given problem is 10.27.
Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___
Answer:
9, 10, 11, 12, 13, 14, 15
Step-by-step explanation:
0 + 9 = 9
1 + 9 = 10
2 + 9 = 11
3 + 9 = 12
4 + 9 = 13
5 + 9 = 14
6 + 9 = 15
The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
x + 9
First sequence, Put x = 0
0 + 9 = 9
Second sequence, put x = 1
1 + 9 = 10
Second sequence, put x = 2
2 + 9 = 11
Second sequence, put x = 3
3 + 9 = 12
Second sequence, put x = 4
4 + 9 = 13
Second sequence, put x = 5
5 + 9 = 14
To know more about the sequence:
https://brainly.com/question/28615767
#SPJ2
6) What is the equation of a line that passes
through (-1, -3) and has a slope of 2?
Answer:
y+3=2*(x+1)
Step-by-step explanation:
if u know what to do pls help
Answer:
6.2 miles
Step-by-step explanation:
10 kilometers=.62 miles
.62*10= 6.2 miles
The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
Answer:
Step-by-step explanation:
9x - 1 / 2 + 9/2 x = 0.128886 (43)
2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)
= x1 + 24 - 3/4 + 8
9/3 - 1 x = /3
Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D
SIGNS. *
If 2(3.8x – 10) - 2 = -1.2x(3 - 6) + 3x, what does
equal?
A5.5
B-5.5
C22
D-22
im not smart enough lol
What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
Answer:
[tex]1\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}[/tex]
Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 94 adults, the following data are collected:
Truck Car Total
Female 9 36
Male 18 31
Total 94
What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that he is a male? Are the events being male and buying a car independent? (1 point)
63%; they are dependent
46%; they are dependent
63%; they are independent
33%; they are independent
I will come back to this question when it has been further clarified.
(Honestly I just really need to delete this answer since I misread the question but it doesn't give me an option to delete it).
Can I get help with number 25 its really hard for me.
What is the solution to the following system of equations?
x+y=5
x-y=1
(–2, 7)
(2, 3)
(3, 2)
(7, –2)
Answer:
x+y=5
×-y=1
2x/2=6/2
x=3
while x+y=5
3+y=5
y=5-3
y=2
Answer:
C
Step-by-step explanation:
(3, 2)
6 and 186 its divison i dont know division
[tex]\sqrt{x}[/tex]
Answer:
31
Step-by-step explanation:
u divide 186 by 6. u divide by pretty much seeing how many times 6 can go into 186.
Answer:
31
Step-by-step explanation:
assuming your asking "what is 186 divided by 6?" ...right?
I need to know what mistakes he made (if any)
The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the volume of the cylinder?
A. 138 cubic centimeters
B. 207 cubic centimeters
C. 23 cubic centimeters
D. 276 cubic centimeters
Answer:
207 cubic centimeters
Step-by-step explanation:
Given
volume of cone = 9 cubic centimeters
Since the cone and cylinder above have the same radius, r, and height, h, then r = h
volume of the cone = 1/3πr²h
69 = 1/3πr²h
πr²h = 69*3
πr²h = 207cubic cm
Since the volume of the cylinder = πr²h
Hence volume of the cylinder is 207 cubic centimeters
List the measurements with units of kilometers, centimeters, and
millimeters that are equal to 4 meters.
Answer:
0.004 km; 400 cm; 4000 mm
Step-by-step explanation:
1 km = 1000 m
1 = (1 km)/(1000 m)
4 m * (1 km)/(1000 m) = 4/1000 km = 0.004 km
1 m = 100 cm
1 = (100 cm)/(1 m)
4 m * (100 cm)/(1 m) = 400 cm
1 m = 1000 mm
1 = (1000 mm)/(1 m)
4 m * (1000 mm)/(1 m) = 4000 mm
Answer: 0.004 km; 400 cm; 4000 mm
Simplify: 2(x+3)+5(2x-1)
(no files please)
EASY POINTS!!
INCLUDE A DISC
Answer:
I don't know what you mean by disc but the answer is 80 degrees.
Step by Step explanation:
A triangle is made up of 180 deg
65+35=100
180-100=80
Answer:
F. 80°
Step-by-step explanation:
Because a triangle measues 180°
35+65= 100
180-100=80
So the remaining angle must measure an exact 80°
After stepping into a room with unusual lighting, Kelsey's pupil has a radius of 3 millimeters. What is the pupil's area?
Does the figure below have rotational symmetry? Explain.
A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.
Answer:
B.) Yes; it can be rotated 180° or less and match the original figure.
Step-by-step explanation:
You have to trust me its b I did the quiz on Pearson Conexus. I would show a picture but I'm on pc and don't know how to .
My answer will help.
Anyways, have a great day/night !! <3
Step-by-step explanation:
Does the figure below have rotational symmetry? Explain.
A.)Yes; it can be rotated 360° or less and match the original figure.
B.)Yes; it can be rotated 180° or less and match the original figure.
C.)No; it does not match the original figure after any rotation of 180° or less.
D.)No; it does not match the original figure after any rotation of 360° or less.
How do you do this problem?
Answer:
Step-by-step explanation:
0.3a = -6
Divide 0.3 from both sides
a = -20
The theoretical probability of rolling a 6 with a single die is
Answer:
1/6
Since there are 6 faces and you're asking if 1 face is the probability, the probability is 1/6
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
Help plssss I need to find mr pryor account balance
Answer:
$1,462.50
Step-by-step explanation:
We are to find the total amount after 4 years
Principal => $1,250
Rate => 4.25%
The formula to find the total amount =
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year.
Solving our equation:
A = 1250(1 + (0.0425 × 4)) = 1462.5
A = $1,462.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,250.00 at a rate of 4.25% per year for 4 years is $1,462.50.
A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.
Set up a ratio of height over shadow for each :
12/8 = 4/x
Cross multiply:
12x = 32
Divide both sides by 12:
X = 2 2/3 feet
The shadow is 2 2/3 feet.
10 x 10 = ? for easy points
Answer:
[tex]\huge\mathfrak{Heya\:Mate}[/tex]
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
[tex]10 \times 10 \\ = 10^{2} \\ = 100[/tex]
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
3x-y=2
x+2y=3
elimination method
Answer:
x=1 and y=1
Step-by-step explanation:
see attachment
He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation
2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more
Answer:
I think you should go with 3
This is the equation: f(x)=x^2
e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?
f) Does f(x) have a maximum or minimum? If so, at what point?
g) What are the x-intercept(s) of f(x)?
Answer:
e) yes, symmetric around the y-axis
f) minimum at (0,0)
g) x-intercept at 0
Step-by-step explanation:
Choose the equation that best describes the situation below.
Lee is 32 years younger than his mother and his mother is 67 years old. How old is Lee?
a = Lee's age
Answer:
67-32=a
if his mom is 67 and he is 32 years younger 67 minus 32 would equal a which is his age
Jasmine bought four potted plants. Two of the plants cost $6.65, and the others cost $4 and $7.15. How much money did jasmine spend in all?
Answer:
$24.45
Step-by-step explanation:
6.65 + 4 + 7.15 + 6.65 = 24.45
Eva has read over 25 books each year for the past three years.
A. Write an inequality to represent the number of books that Eva has read each year.
B. If Eva reads exactly 25 books this year, will the inequality from part A still be true? Explain how you know.
C. What is the smallest total number of books Eva can read over the next five years so that the inequality in part A remains true each year? Explain how to find your answer, and show all work to support your explanation.
Answer:
its 16 books
Step-by-step explanation:
iv had this problwm b4