Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
What are the variance and standard deviation?In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.
A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.
2,400; 1,750; 1,900; 2,500; 2,250; 2,100
we need to find which of the following represents the numerator in the calculation of variance and standard deviation.
(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750
(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000
(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000
92416.60
The variance is 84000
The standard deviation is 290
mean = (2400+1750+1900+2500+2250+2100)/6
mean = 2150
Subtract the data values from the mean to get
2400-2150 = 250
1750-2150 = -400
1900-2150 = -250
2500-2150 = 350
2250-2150 = 100
2100-2150 = -50
The differences are 250, -400, -250, 350, 100, -50
Then you square those values and add up the squares
(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000
Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.
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If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)
Answer:
The slope is -1/2
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]
Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?
Answer:
4 cups of sugar
Step-by-step explanation:
2 x 2 = 4
Toya will use 4 cups of sugar.
Find the value of b +9 when b= 72.
X
Answer:
8
Step-by-step explanation:
b ÷ 9 when b = 72
b ÷ 9 <== substitute 72 for b, and solve
72 ÷ 9 = 8
Hope this helps!
Answer:
Answer = 8
Step-by-step explanation:
first you write out the equation
next you substitute 72 for b
then you divide them to get your answer of 8
i dont understand any of this please help
Answer:
92%
Step-by-step explanation:
To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.
hope this helps!
The table below shows a student's quiz scores on four quizzes.
Answer:
with aritmetical form u do this: 14+14+18+12=58
now 58/4=14.5
average score Is 14.5
The mid point of P (10,4) and Q (-4, -6) is: *
Answer:
（-1,3）
Step-by-step explanation:
use x1+ x2 /divide by 2 .BCOS of u need the midpoint of the straight line
A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.
The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
How is the equivalence relation depicted?Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020
To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.
Reflexive relation: x is related to x
Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.
Symmetric relation: x is related to y implies y is related to x
Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property
Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R
Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions
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X^2 =11+2 sqrt30 find value of X
Answer:
If the question goes like this : x²=11+2
then the value of x will be √13
Step-by-step explanation:
x²=11+2
x²=13
x=√13 ans…
Question Find the surface area of the prism. The surface area is square centimeters.
Answer:The answer is12
Step-by-step explanation:
Ted makes an hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
The amount Ted would make from delivering pizzas for 4 hours would be $42.
How much would Ted make?The first step is to determine the increase in Ted's income after the raise: (1.05) x $10 = $10.50
The second step is to determine the total income for 4 hours of work: 10.50 x 4 = $42
Here is the complete question:Ted makes n$10 hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
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8. If the area of Figure A is 216 square yards, find
the area of Figure B.
Step-by-step explanation:
the area is
baseline × height.
remember, 2 lengths are multiplied.
since both figures are similar to each other, it means that both lengths are changed by the same scaling factor.
18 × f = 63
f = 63/18 = 7/2
this factor f applies (as mentioned) to the baseline AND to the height.
therefore, the area changes by f×f = f² = 49/4.
that means the area of the larger figure is
216 × 49/4 = 54 × 49 = 2,646 yd²
Can anyone help me on this
Answer:
48 ft = r
Step-by-step explanation:
Pythag theorem
r^2 + 55^2 = (25+r)^2
= 625 + 50r + r^2
r = 48
Rectangles T and U are similar. If the area of rectangle T is 40, what is the area of
rectangle U?
10
4.5
Rectangle
T
Rectangle
U
Area = 40
Answer:
Area = 18
Step-by-step explanation:
Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.
The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?
[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]
please help!!! I need this and I also don't understand
Answer:
ABGE is a parallelogram because it has congruent sides
Step-by-step explanation:
:-)
Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a
pair of shorts. He must design at least 12 items each day, but he cannot
design more than 20 items in one day. Which set of inequalities below
represents this scenario?
A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0
B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20
O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0
D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20
Answer:
The correct option is;
B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t
Step-by-step explanation:
The set of inequalities below represents this scenario s ≥ 12 - t,
s ≤ 30 - t, s ≤ 24 - 0.66·t
We have given that,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
lets t=times
s=shorts
We have to determine the correct inequality so that we will get,
The correct option is;
s ≥ 12 - t,
s ≤ 30 - t,
s ≤ 24 - 0.66·t
Therefore option B is correct.
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If the ratio of the rectangular prisms' volumes is 1:8, what is j?
PLEASE HELP WILL MARK BRAINLIST
J is equal to 24 ____________________________
Pythagorean Theorem. Show your work.
Step-by-step explanation:
First you do 2 squared plus 5 squared since it is A and B
2² + 5² = 29
Then you square root 29
which is 5.385164807 or 5.4 when you round
NEED ANSWER ASAP
Which graph best represents the equation 3x + y = -5? A. B. C. D.
Graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
How to Identify the Graph of the Equation of a Line?The equation of a line can be rewritten in slope-intercept form as, y = mx + b.
The graph that represents the equation of the line, would have a slope of m and a y-intercept of b.
Given the equation:
3x + y = -5
Rewrite in slope-intercept form:
y = -3x - 5
The slope of the graph, would be m = -3, and the y-intercept would b b = -5.
Thus, graph B has a slope of -3 and a y-intercept of -5, therefore, the best graph that represents the equation is: Graph B.
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Answer:
B
Step-by-step explanation:
Took the quiz on EDGE 2022
Pythagorean Theorem. Show your work.
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
12^2 + 15^2 = c^2
144 + 225 = c^2
144 + 225 = 369^2
√369 = 19.21
1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
Answer:
0.75 feet
Step-by-step explanation:
Let's picture a right triangle, where :
AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladderLet the height of the ladder be x.
Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feetAnswer:
0.748 ft (nearest thousandth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 14°O = xA = 3 ft[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]
[tex]\implies x=3\tan(14)[/tex]
[tex]\implies x=0.7479840085...[/tex]
Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)
Perry works in the shipping department of a toy factory that makes radio-controlled
helicopters. Small helicopters weigh 2 pounds each, and are shipped in a container that
weighs 16 pounds. Large ones, on the other hand, weigh 5 pounds apiece, and are shipped in
a container that weighs 13 pounds. If these boxes can hold a certain number of helicopters
each, all of the packed containers will have the same shipping weight. What would the total
weight be? How many helicopters would fit in either container?
The shipping weight of a full container of either size will be ___
pounds if it holds ___ helicopters.
Answer:
6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18
Step-by-step explanation:
What is the area of the shaded region?
36 m
20 m
36 m
20 m
Answer:
896 meters sq
Step-by-step explanation:
Step 1. Find the area of each square
Big square: 36 x 36 = 1296
Small square: 20 x 20 = 400
Step 2. Find the area of the shaded region only
big square A - small square A = ONLY shaded region area
1296 - 400 = A
896 [tex]m^{2}[/tex] = A
I hope this helps!
PLEASE HELP! PLEASE HELP! I NEED TO GET THIS RIGHT! PLEASE ANSWER FULLY!
Answer:
15 mph
Step-by-step explanation:
on a map, 1 inch equals 15 miles. two cities are 6 inches apart on the map. what is the actual distance between the cities?
1 inch= 15 miles
to find:the distance between the cities
solution:1 in/ 15 miles = 6 in/ x miles
applying cross products:
1 * x = 15 *6
x= 90
so, the distance betwixt the cities is 90 miles.
Can someone help me with this please and thank you
Answer: single goes on 45 i forgot the other one
Step-by-step explanation:
What is the constant of proportionality when y=55 and x=1/4
Answer:
HEY BABE SO, THE ANSWER IS $19.99
Step-by-step explanation:
if you devide 67 and 78 you get 19.99!!!!11
Hey.. I’m really stuck on this page of homework, can anyone help?
Answer:
Easy!
Step-by-step explanation:
All you have to do is.. Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
Hope this helps :)
There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.
A) Red = 1/4
B) Red = 0. 4
C) Orange = 1/4
D) Orange = 0. 4
E) Green = 0. 1%
F) Green = 10%
Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?
m∠3 =
°
