The value of N is 28.
What is the solution of the equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
According to the question,
a+b+c=60
a-7=N
b+7=N
7c=N
From the above three equations,
a=N+7
b=N-7
c=N/7
So, N+7+N-7+N/7=60
2N+N/7=60
14N+N=420
15N=420
N=28
Learn more about equations here:
https://brainly.com/question/2972832
#SPJ4
A rectangular block of candy 10 inches by 10 inches by 5 inches is coated on all faces with a very thin layer of chocolate. The block of candy is then cut into cubes measuring 1 inch by 1 inch by 1 inch. What percent of the cubes have no chocolate on them
38.2% of the cubes are without chocolate coated.
CalculationGiven that,
The length ,l= 10 inch
The width ,b=10 inch
The height, h=5 inch
We know that the lateral surface area of the cuboid or rectangular block,
SA= 2(lh+lb+hb)
⇒ SA = 2( 10*5 +10*10+5*10)
⇒ SA =2*200=400 [tex]inch^{3}[/tex]
The volume of the cuboid,V= 10*10*5 =500 [tex]inch^{3}[/tex]
The block of candy is then cut into another small cube 1 inch per side.
length,l=1 inch
width, b=1 inch
height,h=1 inch
So, the surface area of each small cube ,sa= 2(1+1+1) = 6 [tex]inch^{3}[/tex]
Volume of each candy,v= 1*1*1=1 [tex]inch^{3}[/tex]
So, the total number of candy= 500/1 =500 nos.
There is chocolate on each and every piece on the exterior inch. But those who are totally within do not.
A cube measuring 8 inches by 8 inches by 3 inches makes up the inside.
So, the total no of boxes that have no chocolate =8*8*3=192 boxes
So, the percentage = 192*100/500= 38.2 %
Therefore, it is concluded that 38.2% of cubes are without chocolate.
Learn more about the rectangular block here:
https://brainly.com/question/17711536
#SPJ4
1. Determine the most precise name for the quadrilateral.
rhumbos
it is the most precise name because it gives more information about the quadrilateral
On a coordinate plane, kite U V W X with diagonals is shown. Point U is at (negative 2, 5), point V is at (5, 4), point W is at (8, negative 5), and point X is at (negative 1, negative 2).
Prove that the diagonals of kite UVWX are perpendicular.
Step 1: Determine the slope of XV.
The slope of XV is
.
Step 2: Determine the slope of UW.
The slope of UW is
.
Step 3: The slopes of the diagonals are
.
The diagonals of kite UVWX are
.
The information about the coordinate plane shows that the slope of XV is 1.
How to illustrate the information?From the information, the slopes of the diagonals are negative reciprocals. Therefore, the slope of UW is -1 and the slope of XV is 1.
The diagonals of kite UVWX are perpendicular.
It should be noted that negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.
Learn more about coordinate plane on:
https://brainly.com/question/10737082
#SPJ1
Answer:
Step-by-step explanation:
The slope of XV is
1
The slope of UW is
–1
The slopes of the diagonals are
negative reciprocals
The diagonals of kite UVWX are
perpendicular
.
Simplify the expression. (5k2)3
Answer:
25k x 3
Step-by-step explanation:
What is the type? f(x)=-1/5x³-5+10x²
Find the zeros of: [tex]f(x)=-\frac{1}{1500} (x^3+10x^2-275x-1500)[/tex], and the use them to find all of the linear factors of the polynomial function
The linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).
How to find the linear factors of a cubic equation
Cubic equations are polynomials of third grade, whose standard and factor forms are shown below:
Standard form
y = a · x³ + b · x² + c · x + d
Factor form
y = (x - r₁) · (x - r₂) · (x - r₃)
Where r₁, r₂, r₃ are the zeros of the cubic equation.
There are several approaches to find the roots of the polynomial, in this question we decided to use the graphical approach, which offers sufficiency and quickness for analysis. The roots of the polynomials are the points that pass through the x-axis.
In accordance with the image attached below, the polynomial has three real roots: r₁ = - 20, r₂ = - 5, r₃ = 15. Then, the linear factors of the polynomial function are f(x) = - (1/1500) · (x + 20) · (x + 5) · (x - 15).
To learn more on cubic equations: https://brainly.com/question/13730904
#SPJ1
What is the simplified base for the function f(x) = 2rootindex 3 startroot 27 endroot superscript 2 x?
Applying exponential properties, the simplified base for the function is given as follows:
[tex]f(x) = 2(3)^{2x}[/tex]
What is the function?The function is represented by the following definition:
[tex]f(x) = 2\sqrt[3]{27^{2x}}[/tex]
As an exponent, the function is given by:
[tex]f(x) = 2(27)^{\frac{2x}{3}}[/tex]
27 can be simplified as follows:
27 = 3 x 3 x 3 = 3³
Hence:
[tex]f(x) = 2(3^3)^{\frac{2x}{3}}[/tex]
Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:
[tex]f(x) = 2(3)^{\frac{3 \times 2x}{3}} = 2(3)^{2x}[/tex]
Hence the simplified base for the function is given as follows:
[tex]f(x) = 2(3)^{2x}[/tex]
More can be learned about exponential properties at https://brainly.com/question/25263760
#SPJ1
14. The following three lines intersect to form
a triangle.
y = x + 1
2x + y = 4
x + y = 5
a) Find the coordinates of each vertex.
b) Is this a right triangle? Explain how
you know.
The coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The coordinates of each vertex?The functions are given as:
y = x + 1
2x + y = 4
x + y = 5
Next, we plot the graph of the lines (see attachment)
From the attached graph, the coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The type of triangleRewrite the equations in slope intercept form
y = x + 1 ⇒ Slope = 1
y = -2x + 4 ⇒ Slope = -2
y = -x + 5 ⇒ Slope = -1
The equations y = x + 1 and y = -x + 5 have their slopes to be opposite reciprocals
This means that the lines are perpendicular (they form a right angle)
Hence, the triangle is a right triangle
Read more about triangle at:
https://brainly.com/question/21735282
#SPJ1
Suppose the length of AC in the triangle below is 15cm. The measure of angle A is 60, sim 60 ≈ 0.866, cos 60 ≈ 0.5 and tan 60 ≈1.73. Determine the length of AB
Answer: Option (4)
Step-by-step explanation:
From the diagram, we know that
[tex]\sin 60^{\circ}=\frac{BC}{15}\\\\\cos 60^{\circ}=\frac{AB}{15}[/tex]
This means we can eliminate options 1 and 2.
Now, if we multiply both sides by 15, we get
[tex]15\cos 60^{\circ}=7.5[/tex].
This gives us Option (4).
Answer:
Step-by-step explanation:
already
For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet can fill the tub in 8 minutes. If both faucets are used together, how long will it take to fill the tub
If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.
What is the concept of time and work?Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.
When the amount of work is constant, efficiency is inversely proportional to the length of time required.
Important Time and Work Formula:
Work Done = Time Taken × Rate of Work.Rate of Work = 1 / Time Taken.Time Taken = 1 / Rate of Work.If a piece of work is done in x number of days, then the work done in one day = 1/x.Total Wok Done = Number of Days × Efficiency.Efficiency and Time are inversely proportional to each other.Calculation for the time taken by both faucet to fill the tub.
The unit should be tub per minute.
Then, do the reciprocal of the result to have minute per tub.
The hot water faucet can fill the tub in 12 minutes.
The cold water faucet can fill the tub in 8 minutes.
The filling rate for both faucets filling the tub at the same time is the sum of their rates.
Let 't' be the time taken by both faucets.
Then,
[tex]\frac{1}{12} +\frac{1}{8} =\frac{1}{t}[/tex]
[tex]\frac{8+12}{8*12} =\frac{1}{t}[/tex]
[tex]\frac{1}{t} =\frac{20}{96}[/tex]
[tex]\frac{t}{1} =\frac{96}{20}[/tex]
t = 4.8
Therefore, the time taken by both faucets to fill the tub is 4.8 minutes.
To know more about the formula for calculating power, here
https://brainly.com/question/20290932
#SPJ4
Can someone please solve this
Answer:
20
Step-by-step explanation:
a c will have the same angle as b d
Maria buys some soft drinks for her friends. she buys a total of 13 drinks for a total of $32. if medium drinks, m, cost $3 and small, s, drinks $2, write a system of equations which can be used to find how many small drinks and medium drinks she bought.
The total number of small drinks 's' bought by Maria is 7.
The total number of medium drinks 'm' drinks bought by Maria is 6.
What is system of linear equations?A collection of one or more linear equations containing the same variables is known as a system of linear equations (or linear system).
Formation of the linear equation for the drinks bought by Maria:
The total number of drinks bought by the Maria is 13.
Lets say 'm' represents the number of medium drink.
's' represents the number of small drink.
Total drinks comprises of medium drinks and small drinks.
Thus,
s + m = 13, is the first linear equation.
Now medium drinks cost $3.
Total cost for purchasing medium drinks = (price of one medium drink)×(total number of medium drinks)
Total price for medium drinks = 3×m
Similarly,
Total cost for purchasing small drinks = (price of one small drink)×(total number of small drinks)
Total price for small drinks = 2×s
Total cost = total cost of medium drink + total cost of small drink
32 = 3×m + 2×s, is second linear equation.
From equation first substitute the value of 'm' in second equation to fine the total number of drink.
32 = 3×(13 - s) + 2×s
32 = 39 - 3s + 22
s = 7
Put s = 7 in first equation and calculate 'm'.
m = 13 -7
m = 6
Therefore, The total number of small drinks 's' bought by Maria is 7.
The total number of medium drinks 'm' drinks bought by Maria is 6.
To know more about system of linear equations, here
https://brainly.com/question/3654260
#SPJ4
Factors that are unequal across groups and can prevent a researcher from concluding that it was the independent variable that caused a change in the dependent variable are called _____ variables.
The independent variable that caused a change in the dependent variable is called cofounding variable.
Given the Factors that are unequal across groups and can prevent a researcher from concluding that it was the independent variable that caused a change in the dependent variable are called _____ variables.
These are variables in statistics other than the dependent and independent variables which can also be important to a researcher because it affects the dependent variable.
Confounding variables can also be called influences, external factors or third variables because they mostly affect the outcome of a research and prevent a researcher from achieving its objectives.
Hence, Factors that are unequal across groups and can prevent a researcher from concluding that it was the independent variable that caused a change in the dependent variable are called cofounding variables.
Learn more about cofounding variable from here brainly.com/question/9403412
#SPJ4
The number of Minghua's stamps is 1 1/2 times that of John's.
Step-by-step explanation:
Let the number of stamps of John be x.
Then number of Minghua's stamps:
1 1/2 * x3/2 * x(3/2)xJohn's: x
Minghua's: (3/2)x
Does (5,-8),(3,5),(3,-3),(2,8) represent a function
Answer:
No
Step-by-step explanation:
So to determine whether this is a function, we first need to know what a function is. A function is defined as for each input, there is only 1 output.
This output doesn't have to be unique and other inputs can output this output, but it only matters that each input outputs only one output.
So let's look at what you provided and specifically these two points:
(3, 5)
(3, -3)
This input 3, outputs 5 and -3, which is not a function since this input outputted 2 different outputs. One thing to note is had you provided the two points: (3, 5), (3, 5) instead then it would still be a function because the input outputted the same output of 5 both times.
A sequence consists of the positive odd integers 1, 3, 5,. What's the sum of the first 12 terms of the
sequence?
hi
we have an aroithmetic serie of first term 1 and pace 2
so sum of 12 first terms, namming 1 as S1 and 12th term as S12
S12 = 1 + 2*11 = 23
formula of summ : number of term * ( final term + first term) / 2
So sum of terms from S1 +S12 = 12 ( S12 +S1 ) / 2 = 12 * ( 23+1) /2
12* 12= 144
-
What is the best example of elasticity demand in the context university of rwanda
Answer:
Step-by-step explanation:
Elasticity Demand
The flexibility of interest is a significant minor departure from the idea of interest. Request can be delegated as versatile, inelastic, or unitary.Flexible interest is one in which the adjustment of the amount requested because of an adjustment of cost is huge. An inelastic interest is one in which the adjustment of the amount requested because of an adjustment of cost is little.The equation for processing versatility of interest is:(Q1 - Q2)/(Q1 + Q2)
(P1 - P2)/(P1 + P2)
In the event that the recipe makes an outright worth more prominent than 1, the interest is flexible. At the end of the day, the amount changes quicker than the cost. On the off chance that the worth is under 1, the request is inelastic. All in all, the amount changes more slowly than the cost. In the event that the number is equivalent to 1, the flexibility of interest is unitary. All in all, the amount changes at a similar rate as the cost.An illustration of items with a flexible interest is purchaser durables. These are things that are bought inconsistently, similar to a clothes washer or an auto, and can be deferred assuming the cost rises. For instance, vehicle refunds have been extremely fruitful in expanding car deals by diminishing costs.#SPJ10
A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, T, is the average.
The standard deviation is approximately 0.01307. See the explanation below.
What is standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.
How do we calculate the standard deviation?Step 1: First, lets calculate the variance.
The formula for variance is:
[tex]\sigma^2 = \frac{\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]
To get the variance ( s2 ) we must first get the mean. Our mean is 0.99892.
We subtract each value by the mean and square the difference.
(0.978-0.99892)² = 0.0004376464
(0.982-0.99892)² = 0.0002862864
(0.983-0.99892)² = 0.0002534464
(0.984-0.99892)² = 0.0002226064
(0.987-0.99892)² = 0.0001420864
(0.988-0.99892)² = 0.0001192464
(0.989-0.99892)² = 9.84064e-05
(0.99-0.99892)² = 7.95664e-05
(0.992-0.99892)² = 4.78864e-05
(0.992-0.99892)² = 4.78864e-05
(0.993-0.99892)² = 3.50464e-05
(0.994-0.99892)² = 2.42064e-05
(0.996-0.99892)² = 8.5264e-06
(0.997-0.99892)² = 3.6864e-06
(1-0.99892)² = 1.1664e-06
(1.001-0.99892)² = 4.3264e-06
(1.006-0.99892)² = 5.01264e-05
(1.007-0.99892)² = 6.52864e-05
(1.011-0.99892)² = 0.0001459264
(1.015-0.99892)² = 0.0002585664
(1.015-0.99892)² = 0.0002585664
(1.015-0.99892)² = 0.0002585664
(1.018-0.99892)² = 0.0003640464
(1.02-0.99892)² = 0.0004443664
(1.02-0.99892)² = 0.0004443664.
Step 2: Add all these numbers above
0.0004376464+0.0002862864+0.0002534464+0.0002226064+0.0001420864+0.0001192464+9.84064e-05+7.95664e-05+4.78864e-05+4.78864e-05+3.50464e-05+2.42064e-05+8.5264e-06+3.6864e-06+1.1664e-06+4.3264e-06+5.01264e-05+6.52864e-05+0.0001459264+0.0002585664+0.0002585664+0.0002585664+0.0003640464+0.0004443664+0.0004443664
=0.00410184
Step 3: Now we divide the sum by how many numbers there are. In this case we have 25.
We'll call this number n.
So n=25
For a sample (use 0.00410184 divided by (n-1) ):
So s2 =0.00410184 divided by 24
s2 = 0.00017091
Step 4 - Solve for Standard deviation:
The standard deviation is the square root of the variance. Our variance is 0.00017091.
So we only apply a square root on the variance.
= √ 0.00017091
s = 0.0130732551
Learn more about Standard Deviation:
https://brainly.com/question/475676
#SPJ1
Full Question:
A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, T, is the average.
0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 1.011 0.987
What is the population standard deviation, σ?
What is the inverse of the equation y=x^2+9,x>0
The inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]
How to determine the equation inverse?The equation is given as:
y = x^2 + 9
Subtract 9 from both sides
x^2 = y - 9
Take the square root of both sides
[tex]x = \sqrt{y - 9[/tex]
Hence, the inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]
Read more about inverse equations at
https://brainly.com/question/15529152
#SPJ1
Helen had $12 but spent $3 of it. What per cent did she spend?
12%
25%
30%
33 1/3%
Answer:
25%
Step-by-step explanation:
3/12 = 0.25 = 25%
Answer:
25%
Step-by-step explanation:
$3 pent out of the original $12. We can ask what is the percentage of $12 that is equal to $3? This can be written as:
X($12) = $3, where X is the percentage.
X = (3/12)
X = 0.25 or 25%
Chandra invests $75 every month at 4.8% compounded monthly for 8 years. What is the total amount of Chandra's investments after 8 years?
The total amount of Chandra's investments after 8 years exists $110.03.
How to estimate the compound interest?The formula for calculating the compound interest exists defined as;
[tex]$A = P(1+r/n)^{nt[/tex]
where, P exists the amount invested = $75
r exists the rate. = 0.048
t exists the time = 8 years
n = 12 (monthly)
The formula for calculating the compound interest,
[tex]$A = P(1+r/n)^{nt[/tex]
Substitute the value in the above equation, and we get
[tex]$A = 75(1+0.048/12)^{96[/tex]
A = 75(1.467)
A = 110.03
Hence the total amount of Chandra's investments after 8 years exists $110.03
To learn more about compound interest refer to:
brainly.com/question/24924853
#SPJ9
there are four elevators in a building. Each elevator makes three stops, which do not have to be on consecutive floors or include the ground floor. For any two floors, there is at least one elevator that stops on both floors. What is the maximum number of floors that this building can have
The maximum number of floors that this building can have is 6
How to determine the maximum number of floors?The given parameters are:
Elevators = 4
Stops = 3
At least one elevator stops on 2 floors
The maximum number of floors is calculated as:
Maximum = Elevators * Stops/2
This gives
Maximum = 4 * 3/2
Evaluate
Maximum = 6
Hence, the maximum number of floors that this building can have is 6
Read more about sequence at:
https://brainly.com/question/7882626
#SPJ1
For limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 minus = and limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 plus= . these limits indicate there is an asymptote of .
The given limit indicates that there is a vertical asymptote at x = 2.
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. When x tends to these values laterally, the limit of f(x) goes to infinity.
In this problem, the function is:
[tex]f(x) = \frac{x^2 - 4x - 12}{x - 2}[/tex]
The vertical asymptote is:
x - 2 = 0 -> x = 2.
Hence:
[tex]\lim_{x \rightarrow 2^+} f(x)[/tex] and [tex]\lim_{x \rightarrow 2^-} f(x)[/tex] are either positive infinity or negative infinity.
More can be learned about asymptotes at https://brainly.com/question/16948935
#SPJ1
Solve the equation. Give your simplified answer as an improper fraction.
 -(x-1)+10 = -3(x-2)
give the answer please
Using the domain concept, the only value of x that is not on the domain of [tex]f(x) = \frac{1}{3x + 5}[/tex] is given as follows:
[tex]x = -\frac{5}{3}[/tex]
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. For a rational function, for example, the zeros of the denominator are excluded from the domain. Another example is an even root, where the inside term has to be positive.
The rational function for this problem is given by the function f(x) presented below:
[tex]f(x) = \frac{1}{3x + 5}[/tex]
The denominator is 3x + 5, hence the restriction in the domain of f(x) is given as follows:
3x + 5 = 0
3x = -5
[tex]x = -\frac{5}{3}[/tex]
The solution to the equation above is the only value of x that is not part of the domain of f(x).
More can be learned about the domain of a function at https://brainly.com/question/10891721
#SPJ1
URGENT!!! PLEASE HELP!!!
Find the value of x that makes the parallelogram a square. Show your steps.
(13x + 5.5)°
You will be awarded 5 points for the correct answer and 5 points for the supporting
work.
Answer: 6.5
Step-by-step explanation:
Since all squares are rhombi, and diagonals of a rhombus intersect at right angles, this means that
[tex]13x+5.5=90\\\\13x=84.5\\\\x=6.5[/tex]
What is Permutations and Combinations?
Answer:
See below
Step-by-step explanation:
Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.
Permutation can be expressed in math as:
[tex]\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }[/tex]
where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.
Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:
Since there are 3 letters total and 3 selected letters to arrange then:
[tex]\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}[/tex]
Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:
ABC - 1
ACB - 2
BAC - 3
BCA - 4
CAB - 5
CBA - 6
Notice that if you do visually, you'll get the same answer as the calculation of permutation!
----
Combination can be expressed mathematically as:
[tex]\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }[/tex]
The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.
Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:
Since there are 3 letters total and 3 selected letters:
[tex]\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}[/tex]
Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.
Permutations and combinations have many practical applications in various fields such as statistics, Probability theory, and computer science.
Permutations and combinations are two concepts in mathematics that deal with counting and arranging elements in a set.
Permutations refer to the number of ways in which a set of objects can be arranged or ordered. In other words, permutations involve counting the number of possible ways in which a group of objects can be arranged in a particular order. For example, if we have three objects A, B, and C, the possible permutations would be ABC, ACB, BAC, BCA, CAB, and CBA. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects being arranged.
Combinations, on the other hand, refer to the number of ways in which a subset of objects can be selected from a larger set, without regard to the order in which they are selected. In other words, combinations involve counting the number of possible subsets that can be formed from a larger set. For example, if we have three objects A, B, and C, the possible combinations would be AB, AC, and BC. The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects being selected.
The key difference between permutations and combinations is that permutations involve ordering objects, while combinations do not. Another important distinction is that in permutations, each arrangement is considered distinct, whereas in combinations, different arrangements that contain the same objects are considered identical.
Permutations and combinations have many practical applications in various fields such as statistics, probability theory, and computer science. For example, they are commonly used in solving problems related to probability, combinations of locks, and permutations of passwords. Understanding these concepts is essential in order to effectively analyze and solve problems in these fields.
To know more about Probability theory.
https://brainly.com/question/1391215
#SPJ11
Find the missing side length of the triangle.
Answer:
a = 1.5 in.
Step-by-step explanation:
Use the Pythagoras Theorem:
1.7^2 = a^2 + 0.8^2
a^2 = 1.7^2 - 0.8^2
= 2.25
a = 1.5 in.
Answer:
a = 1.5 in.
Explanation:
Using Pythagoras theorem:
a² + b² = c²
insert values
a² + 0.8² = 1.7²
a² = 1.7² - 0.8²
a² = 2.89 - 0.64
a² = 2.25
a = √2.25
a = 1.5
The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the _____. Group of answer choices population parameter point estimate population mean standard error
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
According to the question,
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
The sample proportion p, is a point estimate of the population proportion.
Hence, the correct answer is point estimate. Thus, the population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
Learn more about population parameter here
https://brainly.com/question/3640262
#SPJ4
The bottom of a cylindrical container has an area of 10 cm2 . The container is filled to a height whose mean is 5cm, and whose standard deviation is 0.1 cm. Let V denote the volume of fluid in the container.
The volume of the shape will be 50cm3.
How to calculate the volume?It should be noted that the volume van be found by multiplying the area by the height. The volume will be:
= 10 × 5
= 50cm³
The standard deviation volume will be:
= 0.1 × 50
= 5cm
Learn more about volume on:
brainly.com/question/14880458
#SPJ1