Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )
m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]
Hello there! :)
To find the slope of the line when we are given 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]
So the slope is -6/5. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!
Answer:
10 units
Step-by-step explanation:
Area of smaller ∆ ,
= 1/2 * 2 * 2 = 2 u
Area of larger ∆ ,
= 1/2 * 4 * 4 = 8u
Total area = 8u + 2u = 10 units
A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with
Answer:
Step-by-step explanation:
Assuming the string is straight (it will not be so due to gravity and wind load)
θ arcsin(354 / (200(3)) = 36°
45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
Are the following polynomial sets open or closed?
6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8)
7. (2 - x)(1 + 3x)
8. (5b - 3c)(7b - 3c)
Answer:
All closed.
Addition, subtraction as well as multiplication of polynomials result into another polynomial. Therefore, the set of polynomials is closed under addition, subtraction and multiplication.
Open polynomial set is (x² + x - 4) - (x² + x + 8)
Closed polynomial sets are (2 - x)(1 + 3x) and (5b - 3c)(7b - 3c)
What is polynomial?A polynomial is an expression consisting of variables and their coefficients, operations of addition, subtraction, multiplication, and positive-integer powers of variables are involved in polynomial. If the result of a polynomial set applying different operations is polynomial then it is closed under that operation.
Given, polynomial sets
(x² + x - 4) - (x² + x + 8)
Applying subtraction operation
x² + x - 4 - x² - x - 8
Subtracting like terms
-12
The result is integer, it is open polynomial set
(2 - x)(1 + 3x)
Applying multiplication operation
2 - x - x - 3x²
= 2 - 2x - 3x²
The result is polynomial, it is closed polynomial set
(5b - 3c)(7b - 3c)
Applying multiplication operation
35b² - 15bc - 21bc + 9c²
= 35b² - 36bc + 9c²
The result is polynomial, it is closed polynomial set
Hence, (x² + x - 4) - (x² + x + 8) is an open polynomial set
(2 - x)(1 + 3x) and (5b - 3c)(7b - 3c) are closed polynomial sets.
Learn more about polynomials here:
https://brainly.com/question/11536910
#SPJ2
if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.
Answer:
12
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Here mean = 316 and sum = 3792 , count n is required to be found, so
[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )
3792 = 316n ( divide both sides by 316 )
12 = n
There are 12 observations in the data
convert this fraction to a decimal 1/200
Answer:
0.005
Step-by-step explanation:
1) Company A charges $55 per hour and a service charge of $250 and Company B charges $60
per hour and a service charge of $225. At what time are they equal?
Answer:
5 hours
Step-by-step explanation:
Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ
Answer:8x-40
Step-by-step explanation:
Because when we simply 4(x-5)/2
We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).
Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help
Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.
Answer:
Yes, because (-1,2) is a solution to both inequalities
Step-by-step explanation:
2>-1 so the first inequality is correct
-1+2>0 so the second inequality is correct
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now
Answer:
5
Step-by-step explanation:
First subtract 6 from 16 to find how many cucumbers she has,
16 - 6 = 10
Now we know she has 10 cucumbers.
Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.
10 - 5 = 5
After subtracting the 5 cucumbers she gave away, we are left with 5
This means Maya has 5 cucumbers now
I need help please please please
Answer:
$28
Step-by-step explanation:
5.5% is $1.54 of what number? (%/100= is/of)
5.5/100 = 1.54/X
X = (1.54 * 100) / 5.5 = $28
Answer:
sus
Step-by-step explanation:
O_O
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. linear function; linear term: x; constant term: −12
B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
D. linear function; linear term: 6x2; constant term: −12
9514 1404 393
Answer:
C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12
Step-by-step explanation:
A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.
The "linear" term is the one that has degree 1.
The "constant" term has no variable.
In the quadratic function ...
f(x) = 6x^2 +x -12
the quadratic term is 6x^2
the linear term is x
the constant is -12
Answer: The answer is either letter B or letter C
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
Find the degree of the function to determine if linear. f ( x ) = 6 x 2 + x − 12 is not a linear function
Nothing further can be done with this topic. Please check the expression entered or try another topic. f ( x ) = 6 x 2 + x − 12
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
Write a possible equation for a polynomial with zeros at -4, -5, 0, 1/3.
[tex]\begin{cases} x = -4\implies &x+4=0\\ x=-5\implies &x+5=0\\ x = 0\implies &x=0\\ x=\frac{1}{3}\implies &x -\frac{1}{3}=0\\ &3\left( x -\frac{1}{3} \right)=3(0)\\ &3x-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (x+4)(x+5)(x)(3x-1)=\stackrel{\textit{original equation}}{0} \\\\\\ (x^2+9x+20)(x)(3x-1)=y\implies (x^3+9x^2+20x)(3x-1)=y \\\\\\ (3x^4+27x^3+60x^2)+(-x^3-9x^2-20x)=y[/tex]
[tex]3x^4+27x^3+60x^2-x^3-9x^2-20x=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 3x^4+26x^3+51x^2-20x=y~\hfill[/tex]
which expression is equivalent to 15c + 20?
Answer: (3c+4)
Step-by-step explanation:
If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4
Answer:
Step-by-step explanation:
0 = 5x + 7
-7 = 5x
x = - 7/5 = -1.4
Answer:
-1.4
Step-by-step explanation:
h(x)=0=5x+7
or, 5x= -7
x= -7/5= -1.4
In a Parallelogram CARS , <C = 5x-20 and <A = 3x+20. Find the value of x ?
Given that
In a Parallelogram CARS ,∠C = (5x-20)°
∠A = (3x+20)°
angle C and angle A are adjacent angles
We know that
In a Parallelogram the adjacent angles are supplementary.
⇛∠C + ∠A = 180°
⇛ (5x-20)°+(3x+20)° = 180°
⇛5x°-20°+3x°+20° = 180°
⇛(5x°+3x°)+(20°-20°) = 180°
⇛8x°+0 = 180°
⇛8x° = 180°
⇛ x° = 180°/8
⇛ x° = 22.5°
Answer:-The value of x = 22.5°
also read similar questions: In parallelogram MATH, m= (3x+ 20) and t= (5x-4) find A
https://brainly.com/question/11578604?referrer
find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25
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In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed didn't like white cars?Write 2 over 5 as a percent.
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Answer:
75%
Step-by-step explanation:
The number for whom white was not a favorite was ...
288 -72 = 216
The percentage whose favorite was not white was ...
216/288 × 100% = 75% . . . didn't like white
Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?
Answer:
.25
Step-by-step explanation:
Carrie loves carrots so much that she ate 30 of them for lunch. Her sister doesn’t like carrots as much and only ate 5 of them for lunch. The number of carrots Carrie ate is how many times greater than the number that her sister ate?
The union of { 1, 2, 3, 4, 5, 6 } and { 4, 5, 6, 7, 8, 9, 10} is ( 4, 5, 6 }. True or false?
Answer:
Below:
Step-by-step explanation:-
The answer is in the comment!! someone answered your question!!
Answer:
false this is because the answer would contain all the values in both sets
Kenrick mows lawns on Sundays. Last
week it took him 5 hours to finish.
This week it took only 5 hours. How
many times longer did it take last
week than this week?
Answer:
0 hours.
Step-by-step explanation:
He finished at the same time than Kenrick finished last week. So, he/she did not delay in mowing the lawn. Hoped this helped.
3. Find the difference between the two expressions.
(3/5x - 5y) - (4/5x + 2y
Answer:
[tex]^{-1}/_{5}x-7y[/tex]
Step-by-step explanation:
Our equation is
[tex](^{3}/_{5}-5y)-(^{4}/_{5}+2y)[/tex]
now we distribute the - and we get
[tex]^{3}/_{5}-5y-^{4}/_{5}-2y[/tex]
[tex]Combine[/tex] [tex]like[/tex] [tex]terms[/tex]
and now we have [tex]^{-1}/_{5}x-7y[/tex]
100 raspberries weigh 40 grams. if there is a proportional relationship between raspberries and weight, how many raspberries does it take to weigh 100 grams
Answer:
250 raspberries
Step-by-step explanation:
So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250
Helmet Nemzek recieved a COLA of 2.3% on his weekly gross wages of $760 how much will helmet earn per week after the pay increase
Answer:
Step-by-step explanation:
$760(1.023) = $777.48
On a coordinate grid, point L is at (−4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ______. Input only whole numbers, such as 2.
Answer:
12 this is da a answer
12 twelve
A school needs to buy new notebook and desktop computers for its computer lab. The
notebook computers cost $325 each, and the desktop computers cost $250 each. How
many total computers would someone buy if they get 20 notebooks and 17 desktop
computers? How many total computers would someone buy if they get n notebooks
and d desktop computers?
A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?
$15.08
Step-by-step explanation:As the value 226.20 is the total of all wages, you can work out the mean.
Mean averages are usually worked out as the total / number of values.
Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.
