The correct description of Standard deviation is option A: the standard deviation of all samples of size.
Standard deviation is a measure of the dispersion of a set of data from its mean. It provides information about how spread out the data is from the average value. It is calculated by finding the square root of the variance, which is the average of the squared differences from the mean. Standard deviation is used in various fields like finance, physics, and statistics. It is important to note that the larger the standard deviation, the more spread out the data is and the more diverse the samples are. Therefore, it is a useful tool in understanding the variability of data.
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What D
Evaluate each expression for the giver
3x² when x is 10
Answer:
3x²
= 3(10)²
= 3(100)
= 300
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-need help asappppppp
The square root of 59 lies in between the square root of 49 and 64
The square root of 49 = 7
The square root of 64 = 8
Hence, it lies between 7 and 8
Exercise 5 1. A shopkeeper buys 40kg of fruits for N120.00. He sells 20kg at N5.00 per kg, 10kg at N3.00 per kg, 5kg at N2.00 per kg and the remaining 5kg at 50k per kg. calculate: (a) the amount he realises from the sales. (b) the total profit. (c) the percentage profit on his outlay of N120.00.
a) The total sales is 390.
b) The total profit is 270.
c) The percentage profit is 225%.
What is the percentage profit?
Percentage profit is a measure of the amount of profit made compared to the initial investment or cost. It is expressed as a percentage and calculated by dividing the profit by the cost and multiplying the result by 100.
Formula: Percentage profit = (Profit / Cost) * 100%
a) The amount he realizes from the sales:
20kg at N5.00/kg = 20 x N5.00 = N100.00
10kg at N3.00/kg = 10 x N3.00 = N30.00
5kg at N2.00/kg = 5 x N2.00 = N10.00
5kg at N50.00/kg = 5 x N50.00 = N250.00
Total sales = N100.00 + N30.00 + N10.00 + N250.00 = N390.00
b) Total profit = Total sales - Cost of fruits = N390.00 - N120.00 = N270.00
c) Percentage profit = (Total profit / Cost of fruits) * 100% = (N270.00 / N120.00) * 100% = 225%
Hence,
a) The total sales is 390.
b) The total profit is 270.
c) The percentage profit is 225%.
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\( - 3p - 10 > 14\)
................
Answer:
p < -8
Step-by-step explanation:
i hope this helps :)
do 3 over 4 and 9 over 12 form a proportion
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I, find the value of tan(A−B).
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.
What is the value of tan(A-B)?We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
From the given information, we have:
cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)
tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5
Now, we can use the definitions of sine and cosine to find tan A:
tan A = sin A / cos A = (7/25)/(24/25) = 7/24
Substituting the values we have found into the formula for tan(A - B), we get:
tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]
= (-13/72)/(25/72)
= -13/25
Therefore, tan(A - B) = -13/25.
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Determine the equation of the circle with radius 5 and center (-5.-6).
The equatiοn οf the circle is \((x + 5)^2 + (y + 6)^2 = 25\).
The standard fοrm equatiοn οf a circle with radius "r" and center (a, b) is:
\((x - a)^2 + (y - b)^2 = r^2\)
In this case, the center is (-5, -6) and the radius is 5. Sο, we can substitute these values intο the standard fοrm equatiοn and get:
\((x - (-5))^2 + (y - (-6))^2 = 5^2\)
Simplifying the equatiοn, we get:
\((x + 5)^2 + (y + 6)^2 = 25\)
Therefοre, the equatiοn οf the circle is \((x + 5)^2 + (y + 6)^2 = 25.\)
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If you are solving this problem, which list or table is the best way to organize the given information? sydney is buying fruit. Strawberries are priced at $1. 68 per pound, and raspberries are priced at $2. 98 per pound. If she selects 8. 4 pounds of strawberries and 1. 8 pounds of raspberries, how much will she spend on the fruit?.
Sydney will spend $19.48 on fruit.
Price of strawberries = $1.68 per pound
Price of raspberries = $2.98 per pound
Sydney wants to buy 8.4 pounds of strawberries and 1.8 pounds of raspberries.
Therefore,
Price of 8.4 pounds strawberries = 8.4*Price per pound
Price of 8.4 pounds strawberries = 8.4*1.68 = $14.112
Price of 1.8 pounds raspberries = 1.8*price per pound
Price of 1.8 pounds raspberries = 1.8*2.98 = $5.364
Total spent on fruit = Price of 8.4 pounds strawberries + Price of 1.8 pounds raspberries
Total spent on fruit = $14.112 + 5.364 = 19.48
Rounding off to nearest hundredth;
Total spent on fruit = $19.48
Therefore, Sydney will spend $19.48 on fruit.
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solve for x
in the box below but i dont know how
Answer:
x=8
Step-by-step explanation:
15/12 = 1.25
1.25x = 10
x = 8
Literally the first thing i saw was Xbox. lol :)
Answer:
8
Step-by-step explanation:
15/12=10/x
15x=120
x=120/15
x=8
Please tell me how to get the answer I will give brainliest
Answer:
f = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3 = f/3
Step 2: Solve for f
Multiply 3 on both sides: 9 = fRewrite: f = 9Answer:
f=9
Step-by-step explanation:
3=f/3
3*3=f
9=f
therefore answer is 9
Given circle B.If measure of arc AD = 118 degrees, find the measure of angle DBC.
The measure of angle DBC is half the measure of its intercepted arc AD. Therefore, if arc AD measures 118 degrees, angle DBC measures 59 degrees.
To find the measure of angle DBC, we need to use the properties of angles formed by intersecting chords and arcs in a circle.
In this case, we are given that the measure of arc AD is 118 degrees. By the Inscribed Angle Theorem, the measure of angle DBC is equal to half the measure of its intercepted arc, which is arc AD.
Therefore, the measure of angle DBC is 118 degrees divided by 2, which is 59 degrees.
Thus, the measure of angle DBC is 59 degrees.
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Which table best describes a function with exponential decay?
PLEASE HELP!!!!
A man 2 m high observes the angles of elevation of the rops of house and a window on its sode are 45 and 60 respectively. If the top is at height of 12m above the ground , find the height.
Answer:
The height of the window = x + 2 = 4.23 + 2= 6.23m
Step-by-step explanation:
The angle of elevation of the top of the house and the window is 60 and 45 degree.
We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.
draw a horizontal line along the height of a man so that it touches building at height 2mtill the window height we assume its height as 'x' from the man's height.distance till the top from the window will be 'y'we don't know the distance between man and the building let it be 'b'
\(\frac{x}{b}=tan 45\) =1
x=b .............(1)
total height of the building is given as 12m
x + y + 2=12
x + y = 10 .....................(2)
\(\frac{x+y}{b} =\frac{x+y}{x }\) = tan 60
\(\frac{10}{x} = \sqrt{3}\)
x = \(\frac{10}{\sqrt{3} }\) ≈ 5.77m
y = 10 - \(\frac{10}{\sqrt{3} }\)
y= 10(1-\(\frac{1}{\sqrt{3} }\) ) ≈ 4.23m
The height of the window = x + 2 = 4.23 + 2= 6.23m
find the sum of a geometric series for which a1 = 6, an = 96, and r = 2
Answer:
186--------------
Use the sum of the first n terms formula:
S = a₁ * (1 - rⁿ) / (1 - r) where a₁ is the first term, r is the common ratio, and n is the number of terms.We are given:
a₁ = 6, r = 2, aₙ = 96.First, let's find n using the nth term formula:
aₙ = a₁ * rⁿ⁻¹96 = 6 * 2ⁿ⁻¹16 = 2ⁿ⁻¹2⁴ = 2ⁿ⁻¹n - 1 = 4 n = 5Now, we can find the sum using the formula:
S = 6 * (1 - 2⁵) / (1 - 2) S = 6 * (1 - 32) / (-1) S = 6 * 31 S = 186The sum of the geometric series is 186.
Last month, a carpenter made 5 tables. This month he made 80% more. How many tables did he make this month?
show how you got the answer please!
Answer: 9 tables
Step-by-step explanation:
Well he made 5 tables last month, 80 percent more this month
so just do 5x1.8 = 9 tables
Answer:
80 percent of 5 would be 4. So 9 tables
Step-by-step explanation:
This is because 80 percent would be 4/5 in fraction form.
If you divide 100 by 5, you would get 80 :)
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10.
If f(x) = 11 - 6(x – 8), what is f(-3)?
A
-19
В.
41
-55
D. 77
Answer:
77
Step-by-step explanation:
11- 6(x – 8)
f(-3)
11-6(-3-8)
11+18+48
=77
at a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. if f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?
The recursive equation that represents this situation in the bowling alley is f(n) = 2.75 + 4.75n .
The cost of each game = $4.75
Number of games played = n
Total cost of n number of games played = 4.75n
Cost of shoe rental =$2.75
Total cost for n games = 2.75 + 4.75n
Recursive equation : f(n) = 2.75 + 4.75n
Any combination of the terms that came before it equals the nth term in a string of integers, according to a recurrence relation equation. For a parameter k that is independent of n, only k prior terms of the sequence normally appear in the equation; this number k is referred to as the order of the relation.
If the first k numbers in a sequence have values, the remaining numbers can be calculated by repeatedly applying the equation.
A linear recurrence's nth term is a linear function of the first k terms. The recurrence of the Fibonacci numbers is one prominent illustration.
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Solve the following: a) 3x2+ 4 9.5 b) 7+2x 5
Answer:
a= 55.5
b= 45
hope it is helpful for u
Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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( Cosec A - Cot A )^2=1- cos A/1+cos A
\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)
\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)
\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)
rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)
Answer:
10
Step-by-step explanation:
not sure please verify
Please help meee ????!!!!!!!
The quotient of 2318 ÷ 6 is 386 R 2 and \(386\frac{2}{6}\) respectively.
What is the quotient?
In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor. In some instances, when we divide a number, the division is incomplete, and we are left with a remainder. Even in this instance, a quotient yet remains as the solution, and the remainder is mentioned separately.
Given, 2318 ÷ 6 = \(386\frac{2}{6}\) = 386.33
Which implies 386 as the quotient and the remainder as 2.
From the above calculation,
the answer of choice will be 386 R 2 and \(386\frac{2}{6}\) .
Hence, the quotient of 2318 ÷ 6 is 386 R 2 and \(386\frac{2}{6}\) respectively.
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some history teachers at princeton high school are purchasing tickets for students and their adult chaperones to go on a field trip to a nearby museum. for her class, mrs. blake bought 28 student tickets and 26 adult tickets, which cost a total of $768. mr. hurst spent $811, getting 31 student tickets and 27 adult tickets. what is the price for each type of ticket?
Using a system of equations, the price for each type of ticket is as follows:
Student = $7
Adult = $22.
What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also described as simultaneous equations because they are solved at the same time.
Students Adults Total Cost
Mrs. Blake 28 26 $768
Mr. Hurst 31 27 $811
Let the price per student ticket = x
Let the price per adult ticket = y
Equations:28x + 26y = 768 ... Equation 1
31x + 27y = 811 ... Equation 2
Subtract Equation 1 from Equation 2
31x + 27y = 811
-
28x + 26y = 768
3x + y = 43
y = 43 - 3x
Substitute y = 43 - 3x in Equation 1:
28x + 26y = 768
28x + 26(43 - 3x) = 768
28x + 1,118 - 78x = 768
-50x = -350
x = 7
Substitue x = 7 in Equation 1:
28x + 26y = 768
28(7) + 26y = 768
196 + 26y = 768
26y = 572
y = 22
Check in Equation 2:
31x + 27y = 811
31(7) + 27(22) = 811
217 + 594 = 811
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The regular price of a jacket is $24. During a sale, the price of a jacket is
marked down 30%. What will be the sale price of the jacket?
Answer:
$16.80
Step-by-step explanation:
30% of $24 is $7.20 so you need to do 24-7.20 and you will end up with $16.80. Hope this helps!
I just started 8th grade and I want to know if my answer is right.
Where the “I” is do I move 2 units down?
Answer:
Yes, you have to move because 1 square is one unit.
Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)
Answer:
I think the answer is $170
2x − 5y + 3x = 8
3x − y + 4z=7
x+3y + 2x = -3
Answer:=3
Step-by-step explanation: For 2x-5y=3 substitute
A plane took 3h 33 min to finish a journey.if the distance of the journey was 2840 miles
Answer:
The plane was traveling at 800 mph
Step-by-step explanation:
Step 1: Find the total number of minutes flown by airplane
3 hours * 60 minutes/hour = 180 180 + 33 = 213 total minutes
Step 2: Divide the number of miles flown by the number of minutes
2840 miles / 213 minutes = 13.3333333 miles/minute
Step 3: Multiply the number of miles/minute by 60 to calculate the number of miles/hour
13.3333333 miles/minute * 60 minutes/hour = 800 miles/hour
Let $\overline{AB}$ be a diameter of a circle and $C$ be a point on $\overline{AB}$ with $2 \cdot AC
In a circle with diameter AB, point C lies on AB such that 2AC = CB.
The relationship between AC and CB in this scenario indicates that AC is half the length of CB. This can be inferred from the given condition that 2 times AC is equal to CB. It suggests that point C divides the diameter AB into two unequal segments.
The ratio of the length of segment $\overline{AC}$ to the length of segment $\overline{CB}$ is 2:1.
In a circle, when a diameter is divided by a point on it, the ratio of the segments formed is equal to 2:1. This property is known as the Intercept Theorem. In this case, segment $\overline{AB}$ is the diameter of the circle, and point $C$ divides it into two segments: $\overline{AC}$ and $\overline{CB}$. The theorem states that the length of $\overline{AC}$ is twice the length of $\overline{CB}$. This relationship holds true for any point $C$ on the diameter of the circle.
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If A and B are any two events defined on a sample space S of an experiment, then p(A ∩ B) = p(A).p(B)
True or False
The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.
This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).
If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).
Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.
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