Answer:
[tex]s = 0.0394[/tex]
Step-by-step explanation:
Given:
0.612 0.523 0.606 0.631 0.584 0.592 0.644 0.597 0.639 0.607 0.564 0.673
Required
Calculate the sample standard deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.612 +0.523 +0.606 +0.631+ 0.584 + 0.592+ 0.644 +0.597 +0.639 +0.607 +0.564+ 0.673}{12}[/tex]
[tex]\bar x = \frac{7.272}{12}[/tex]
[tex]\bar x = 0.606[/tex]
The sample standard deviation is then calculated using:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sum (x - \bar x)^2 = (0.612 -0.606)^2+(0.523 -0.606)^2+(0.606 -0.606)^2+(0.631 -0.606)^2+(0.584 -0.606)^2+(0.592 -0.606)^2+(0.644 -0.606)^2+(0.597 -0.606)^2+(0.639 -0.606)^2+(0.607 -0.606)^2+(0.564 -0.606)^2+(0.673 -0.606)^2[/tex]
[tex]\sum (x - \bar x)^2 = 0.017098[/tex]
So, we have:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{12-1}}[/tex]
[tex]s = \sqrt{\frac{0.017098}{11}}[/tex]
[tex]s = \sqrt{0.00155436363}[/tex]
[tex]s = 0.0394[/tex] -- approximated
HELP PLEASE WILL GIVE BRAINLIEST IF CORRECT
if p = ( 2 , - 1 ) , find the image of p under the following rotation 270 counterclockwise about the origin
Answer:
( -1 , -2 )
Step-by-step explanation:
each marble bag sold by Yoko's Marble Company contains 5 yellow marbles for every 6 red marbles. If a bag has 42 red marbles, how many yellow marbles does it contain?
Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket.
The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get.
3 (x+1) = 3 1/3
How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound
Answer: They have 1/3 pounds of fertilizer and 3 buckets
Step-by-step explanation:
MIDPOINT AND DISTANCE DUE TONIGHT NEED ASAP
Answer:
1. B
2. E
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
[tex]d = \sqrt{(11--7)^{2} + (-5-2) ^{2} } [/tex]
=19.31
0.5-(6-0.5), -2- (1--2)
0.5-5.5,-2-3
(-5,-5)
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
Find the area of the shaded (gray) region.
Question 13 options:
24 cm squared
60 cm squared
84 cm squared
36 cm squared
What’s this shape called?
Answer:
This shape is called triangle
Given that R
7x + 7y
Find x when y : 2 and R= 8
Give your answer as a fraction in its simplest form.
X =
Step-by-step explanation:
r = 7x + 7y
8 = 7x + 7 ×2
8 = 7x + 14
7x = 14 - 8
7x = 6
X = 6 / 7
Answer:
it's clear right
Step-by-step explanation:
i hope it's helps
What is the slope of the line below? Be sure to scroll down first to see all
answer options.
(-4, 10)
(4,-2)
A)-3
B -2/3
C) 2/3
D) -3/2
E)2
F ) -2
Answer:
D) [tex]\frac{-3}{2}[/tex]
The slope of the line m = [tex]\frac{-3}{2}[/tex]
Step-by-step explanation:
Step(i):-
Given that the points are (-4,10) and (4,-2)
we have to find that the slope of the line
Step(ii):-
Solution:-
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m = \frac{-2-10}{4-(-4) }[/tex]
[tex]m = \frac{-12}{8} = \frac{-3}{2}[/tex]
Final answer:-
The slope of the line m = [tex]\frac{-3}{2}[/tex]
the sum of a number and its multiplicative inverse is 5 times the number
Answer:
Holii me ayudas a ganar plis
if the price of the petrol increases by 25%,Santosh intends to spend only 15% more on petrol,how much % should he reduce the quantity of petrol that he buys?
Find the values of x, y, and z.
Answer:
x = 20°
y = 160°
z = 160°
Step-by-step explanation:
x = 20°
(Measure of arc is equal to the measure of its corresponding central angle)
z = 180° - 20°
(Linear pair angles)
z = 160°
y = z
(Measure of arc is equal to the measure of its corresponding central angle)
y = 160°
Which two integers does the square root of 99 lie between?
Answer: the square root of 99 lies somewhere between 9.9 and 10.
Step-by-step explanation:
Answer:9 and 10
Step-by-step explanation:
it was hw
Solve for n. 56 = -4n
Answer:
-14
Step-by-step explanation:
ok
HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST
Answer:
.........(loading)....................
Step-by-step explanation:
...........................
is 6 a factor for 71
Answer:
no its not kpfkansnsbsdhdbdb
Read the sentence.
She did not want to take sides in the argument.
Which of the following sentences means the same thing?
A.
She was neutral during the argument.
B.
She was outspoken during the argument.
C.
She was entitled during the argument.
D.
She was unequal during the argument.
Answer:
A
Step-by-step explanation:
I took the quick check : D
Answer:
A
Step-by-step explanation:
I already did the quick check too
PLEASE HELP!!!! IM SO CONFUSED
The hypotenuse of a right triangle measures √69 centimeters and its shorter leg measures 2√5 centimeters. What is the measure of the larger acute angle of the triangle? Round your answer to the nearest tenth of a degree.
I need help finding the value of each express?
Answer:
part B (12)
part C (-6)
part D (6)
Step-by-step explanation:
just divide and multiply
helpppppppppppp! please
Answer:
x = 36
Step-by-step explanation:
2x + 3x = 180° (consecutive angles are supplementary)
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover, softcover, and plastic (for infants). At the beginning of January, the central computer showed the following books in stock.
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Its sales in January were as follows: 600 hardcover books, 1,200 softcover books, and 1,900 plastic books sold in San Francisco, and 300 hardcover, 200 softcover, and 400 plastic books sold in Los Angeles. The bookstore chain actually maintained the same sales figures for the first 6 months of the year. Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 600 hardcover, 600 softcover, and 600 plastic books to Los Angeles.
(a) Use matrix operations to determine the total sales over the 6 months, broken down by store and type of book.
Hard Soft Plastic
San Francisco
Los Angeles
(b) Use matrix operations to determine the inventory in each store at the end of June.
Hard Soft Plastic
San Francisco
Los Angeles
Answer:
a. Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
b) Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
Step-by-step explanation:
a) Data and Calculations:
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
Restocking: Matrix C
Hard Soft Plastic
San Francisco 500 1,400 1,400
Los Angeles 600 600 600
Total Sales over the first 6 months =
Matrix B * 6 = Matrix B6
Sales in January: Matrix B
Hard Soft Plastic
San Francisco 600 1,200 1,900
Los Angeles 300 200 400
* 6
=
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Matrix C6 = Matrix C * 6
=
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
Inventory at the end of June =
Matrix A + Matrix C6 - Matrix B6
= Matrix D
Stock on January 1: Matrix A
Hard Soft Plastic
San Francisco 1,000 2,000 6,000
Los Angeles 1,000 6,000 2,000
+
Restocking: Matrix C6
Hard Soft Plastic
San Francisco 3,000 8,400 8,400
Los Angeles 3,600 3,600 3,600
-
Sales from January to June: Matrix B6
Hard Soft Plastic
San Francisco 3,600 7,200 11,400
Los Angeles 1,800 1,200 2,400
Ending Inventory: Matrix D:
Hard Soft Plastic
San Francisco 400 3,200 3,000
Los Angeles 2,800 8,400 3,200
A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
Answer:
No cakes.
Step-by-step explanation:
5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.
6. Ashley bought 4 packages of juicek
There are 6 juice boxes in each
She gave 2 juice boxes to each of 3
How many juice boxes does Ashley
pace
have left?
Help me!
Evaluate the expression. (38 + 10) ÷ 12 + 52
Answer:
56
Step-by-step explanation:
(Use PEMDAS for the order of operations)
First, solve everything in parentheses. You get this:
48 ÷ 12 + 52
Next, divide. You get this:
4 + 52
Lastly, add for the answer:
56
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
Which polynomial represents the sum below (8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
Answer:
-5x^6 - 2x^5 + 4x^2 + 3x + 3
Step-by-step explanation:
Combine like terms from each of the polynomials.
(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)
(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)
(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)
Then, order them by degree.
-5x^6 -2x^5 + 4x^2 + 3x + 3
Solve for the variable: (x – 3)2 = 0
Answer:
x=3
Step-by-step explanation:
(x-3)2=0
= 2x-6=0
= 2x=6
= x=3
Answer:
thw answer is x=3
Step-by-step explanation:
hoped I helped:)
What is the mean and range of 15 20 18 22 22 28 29
Answer:
Mean = 22
Range = 14
Step-by-step explanation:
pls give brainliest
Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you
a
Step-by-step explanation:
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
To know more about an expression follow
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