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.
What’s the answer -105+(-6)=
the answer for your question is from what i got of course is, -111
What is the solution to the equation 3 + 4 sqr root 4y = 4?
Answer:
1/64
Step-by-step explanation:
Given the expression
3+4√4y = 4
4√4y = 4-3
4√4y = 1
√4y = 1/4
Square both sides
(√4y)²= (1/4)²
4y = 1/16
y = 1/16 * 1/4
y = 1/64
Hence the value of y is 1/64
Write an expression that represents the
perimeter of this picture frame.
Answer:
6x+2
Step-by-step explanation:
The perimeter is all of the sides added together.
We know that in a rectangle, sides that are parallel to each other are the same.
So, to find the expression that represents the perimeter, you have to multiply 2x+1 by 2 and x by 2 and add both of those together.
(2*(2x+1))+(2*(x))
(4x+2)+(2x)
4x+2+2x
6x+2
No links please!
If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?
Answer:
630/x+5 (remainder over divisor)
Help me on this I have no idea how to do this
Answer:
i also don't have the idea
Michael is buying new tile for his bathroom. The bathroom is 6 feet wide and 7 feet long. It costs $1.75 per square foot of material for the bathroom. If Michael goes to the store with $70, will he have enough money to buy the material. Why or why not.
Answer: yes because all the math adds up to 22.75 and he has 70
Step-by-step explanation:
De las siguientes oraciones ¿Cuál es una proposición?
a)El sol es una estrella
b)El autor de "La vida es sueño"
c)¡Pon atención!
d)¿Cuándo es el examen de historia?
Answer:
c
Step-by-step explanation:
Answer:
translation: Of the following sentences, which is a proposition? a) The sun is a star b) The author of "Life is a dream" c) Pay attention! d) When is the history exam also its c i think
Step-by-step explanation:
Which of the following sets of side lengths could produce a triangle? SELECT ALL THAT APPLY. (7TH GRADE MATH)
A) 3,6,9
B) 13, 5, 6
C) 5, 5, 10
D) 5, 7, 11
E) 4, 4, 4
Answer: C)5,5,10
Step-by-step explanation:
The ratio of nonfiction books to fiction books on a shelf is 5:3. There are 12 fiction
books on the shelf. How many books are on the shelf?
Answer:
20
Step-by-step explanation:
the ratio is 5:3 the you divide the 12 fiction by 3 you get 4 so if the fiction is 4 then you times it by 5 and you get 20
The ratio of fiction books to nonfiction books on the shelf is 5:3, if there are 12 fiction books are on the shelf, then total number of books on the self, 32
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
The ratio of nonfiction books to fiction books on a shelf is 5:3
There are 12 fiction books on the shelf
Total number of books on the self = ?
Suppose, the total number of books = x
Nonfiction = x - 12
Ratio = nonfiction/fiction
5/3 = x-12/12
x = 32
Hence, the total number of books is 32
To know more about Ratio check:
https://brainly.in/question/7996583
#SPJ2
Rectangle PQRS is rotated 90° counterclockwise about the origin.
Answer:
Can you please provide more information about the rectangle? Do you have a graph or some points?
Answer:c
Step-by-step explanation:
A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?
Answer:
(A) 126400
(B) 8.57%
Step-by-step explanation:
(A) According to the scenario, calculation of the given data are as follows,
Visitors in June = 121660
Let visitors in May = X
Difference in visitors number in June = 3.75% decrease
So, we can calculate the visitors number in may by using following formula,
Number of visitors in June = X - 3.75%X
121660 = 96.25%X
X = (121660 × 100) ÷ 96.25
X = 126400
Hence, Number of visitors in may = 126400
(B). Difference in visitors in July than in May = 4.5% increase
So, Number of visitors in July = 126400 + (126400 × 4.5%)
= 126400 + 5688
= 132088
Now, we will calculate increase in percentage by using following formula,
Increase percentage = (132088 - 121660) ÷ 121660
= 10428 ÷ 121660
= 0.0857 or 8.57%
I need help with this question ( see image). Please show workings.
Answer:
(A) 236°
Step-by-step explanation:
270° - 34° = 236°
Please help me I’ll mark brainliest:)
What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.
Answer:
B
Step-by-step explanation:
add 7 to get away the 7 on the left hand side
square both side to eliminate square root
The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
What are radical?A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.
In order to solve the given radical, we will go through the following steps,
[tex]\sqrt{x+3}-7=15[/tex]
1. Add 7 both the sides to eliminate -7 from both the sides,
[tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]
2. Square both the sides to remove the square root,
[tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]
Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.
Learn more about Radical:
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In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...
Answer:
see explanation
Step-by-step explanation:
The standard form of the equation of a circle is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
use the substitution method to solve
3x + 2y=12
y=2x -1
Answer:
1. y=2
2. y= - 2
Step-by-step explanation:
Thats my answer hope it helps
Answer:
the solution is : (2 , 3)
Step-by-step explanation:
hello : here is an solution
3x + 2y=12.....(*)
y=2x -1.....(**)
put the value for y in (*) :
3x + 2(2x-1)=12
3x+4x-2 = 12
7x =14
so : x =2
but : y=2x -1
y =2(2)-1 = 3
the solution is : (2 , 3)
Can someone help me on this question?
Answer:
90°
Step-by-step explanation:
opposite angles of quadrilateral is 180 so
<d is 180-90 = 90
There u go hehehehewh full question
I WILL GIVE BRAINLIEST. PLEASE HELP RIGHT NOW
Answer: Function A= (0,8)
Function B= (0,2)
{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)
I didn’t do the last one I’m sorry
Step-by-step explanation:
1-cosx/1+cosx=secx-1/secx+1
Verify the identity. I tried all identities that I could, but could not find how it worked. Can you show me how to verify with all steps?
I usually do not ask on brainly, but I've tried everything else and still got nothing.
Currently in Algebra 2 and in the 9th grade.
Answer:
Sorry cannot help you, I'm only in year 8 (7th grade if I'm correct), and am horrible at Algebra. I'm sorry :(
Marla's mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is this?
Answer:
18 L
Step-by-step explanation:
36 packs * 500 mL = 18000 mL
18000 mL / 1000 = 18 L
what is the probability of a chance event is 0.05, it to happen when compared to a chance event with a probability of 0
Answer:
I can't understand
Step-by-step explanation:
I will just try to rewrite your question so someone lese can answer it.
"What is the probability of a chance event, with a probability of 0.05, to happen when compared to a chance event with a probability of 0."
or just what is the probability(how high or low are the chances) of an event with a very low chance of happening when compared to an event that can never happen.
Which phrase from the text most clearly explains the main idea of the third paragraph? (5 points)
Memory uses general knowledge
Other memories and other stories
When telling a friend about the event
Rather than the actual participant
Answer:
is there an image of the story?
Answer:
A. Memory uses general knowledge
I deeply apologize if it's wrong but that's just what I think.
Also, I just took the test with this question and I'm pretty sure I got it correct.
PLEASE HELP WILL GIVE BRAINLIST Identify the transversal connecting each pair of angles.
Then classify the relationship between each pair of angles as alternate
interior, alternate exterior, corresponding, or consecutive interior angles.
Answer:
27and 28
for your question ⁉️
2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.
Answer:
9 in
Step-by-step explanation:
We need to find x in x^3 > 600
For x=8, 8^3 = 512 < 600 (Too Small)
For x=9, 9^3 = 729 > 600 (Just right)
For x=10, 10^3 = 1000 > 600 (Too big)
Therefore, the smallest length of the cube-shaped box is 9 in.
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle DEF is an isosceles triangle.
DE = EF
m⦟D = 26°
What is m⦟F?
A. 26°
B. 64°
C. 77°
D. 128°
Answer:
The answer is 77 degrees
Please helpp
How much money would you have after 7 years if you invested $12,000 at 2% compounded annually?
Answer:
13,784
Step-by-step explanation:
I need 11 and 12 thanks!
Answer:
11. c > 5
12. option 1
Step-by-step explanation:
On a large map 3 cm represents 45 km how many cm are needed to represent 600 kilometres on this map?
Answer:
Number of cm= 40 cm
Step-by-step explanation:
Giving the following information:
3 cm equals 45 kilometers
1 cm= 45 /3 = 15km
We need to determine how many centimeters represents 600 km. We will use the following formula:
Number of cm= total km / km per one cm
Number of cm= 600 / 15
Number of cm= 40 cm
