the average of three numbers is 25. two of the numbers are 18 and 40. what is the third number
Step-by-step explanation:
the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you
The third number is 17
Average
The average of numbers is the mean value of the numbers
The given parameters are:
Average = 25Numbers = 18 and 40Assume the third number is x
So, the average is calculated as:
[tex]Average = \frac{\sum x}{3}[/tex]
This gives
[tex]\frac{18 + 40 + x}{3} = 25[/tex]
[tex]\frac{58 + x}{3} = 25[/tex]
Multiply both sides by 3
[tex]58 + x = 75[/tex]
Subtract 58 from both sides
[tex]x = 17[/tex]
Hence, the third number is 17
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NASCAR A driver receives -25 points for each
rule violation. What integer represents the
change in points after 4 rule violations?
Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
Please help! I don’t understand how to solve it with no angle
Answer: c) tan x = 43/18
Step-by-step explanation:
Tan = Toa = Opposite/Adjacent
BET YOU CANT SOLVE THIS.......
Answer:
Step-by-step explanation:
20/5=4
as both the diagrams are similar.
so area of ABCD=4² ×area of EFGH=16×40=640 sq.cm.
can someone help asap
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
choose the appropriate postulate of the following pair lf triangles are congruent.
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples
Here is one: PEMDAS
12- ( 6 + 3) - 19 x 1 divided by 1
I hope this helps
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
If a linear regression has a correlation coefficient of 0.85, which of the following statements is true?
1.The data is too scattered to fit a function to it.
2.The data does not have linear association.
3.The data has a weak linear association.
4.The data has a strong linear association.
Answer:
4.The data has a strong linear association.
Step-by-step explanation:
The correlation coefficient is used to determine how related points in a data set are. The coefficient is always in between 0 and 1 (or negative 1 and 0), with 0 being not related and 1 being completely related. So, the closer the coefficient is to 1 (or -1) the stronger the association. Since 0.85 is close to 1 it can be said that the data has a strong linear association.
Consider the functions
f(x) = xn and g(x) = xm
on the interval [0, 1], where m and n are positive integers and n > m. Find the centroid of the region bounded by f and g.
Assuming the region is of uniform density, compute the mass of the region and its moments.
If n > m, then in the interval [0, 1] we have f(x) ≤ g(x). This means the mass is
[tex]M=\displaystyle\int_0^1(g(x)-f(x))\,\mathrm dx=\left(\frac{x^{m+1}}{m+1}-\frac{x^{n+1}}{n+1}\right)\bigg|_0^1=\frac1{m+1}-\frac1{n+1}[/tex]
The moments are
[tex]M_x=\displaystyle\int_0^1\frac{g(x)^2-f(x)^2}2\,\mathrm dx=\frac12\left(\frac{x^{2m+1}}{2m+1}-\frac{x^{2n+1}}{2n+1}\right)\bigg|_0^1=\frac12\left(\frac1{2m+1}-\frac1{2n+1}\right)[/tex]
[tex]M_y=\displaystyle\int_0^1x(g(x)-f(x))\,\mathrm dx=\int_0^1(x^{m+1}-x^{n+1})\,\mathrm dx=\left(\frac{x^{m+2}}{m+2}-\frac{x^{n+2}}{n+2}\right)\bigg|_0^1=\frac1{m+2}-\frac1{n+2}[/tex]
Then the centroid is
[tex](\overline x,\overline y)=\left(\dfrac{M_y}M,\dfrac{M_x}M\right)=\boxed{\left(\dfrac{(m+1)(n+1)}{(m+2)(n+2)},\dfrac{(m+1)(n+1)}{(2m+1)(2n+1)}\right)}[/tex]
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
the perimeter of a regular octagon is 18 cm find the length of each side
Answer:
Each side will measure 2.25 cm
Step-by-step explanation:
Perimeter is the sum of all the sides of a shape.
Since an octagon has 8 sides and the perimeter is 18,we simply divide 18 by 8.
18 ÷ 8 = 2.25
Have a wonderful day.
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
if the price of 6 books is rs.480. find the price of such 3 books
3 is half of 6, so the price for 3 would be half the price of 6 books.
480/2 = 240
The price for 3 books is 240
Answer:
[tex] \large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION : }}[/tex]
We're provided - price of 6 books = Rs 480 & we're asked to find out the price of 3 books.Firstly , find out the price of 1 book.Use the unitary method for obtaining unit quantity. For the cost of 1 book , the cost of 6 books should be divided by 6 [ i.e 480 / 6 ].[tex] \large{ \tt{↦ \: PRICE \: OF \: 1 \: BOOK = \frac{480}{6} = \boxed{ \tt{Rs \: 80}}}}[/tex]
Secondly , Find out the price of 3 book as we're asked above. Since the cost of 3 books is more than that of 1 book, the cost of 1 book should be multiplied by 3 [ i.e 80 × 3 ][tex] \large{ \tt{↦ \: PRICE \: OF \: 3 \: BOOK = 80 \times 3 = \boxed{ \boxed{ \tt{Rs \: 240}}}}}[/tex]
And we're done![tex] \large{ \boxed{ \boxed{ \tt{⇝ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \tt{Rs \: 240}}}}}}}[/tex]
✺ Procastinating ? - There are millions of people out there crying to get one more chance ! ♪
[tex] \large{ \mathfrak{ \# StayInAndExplore \:! \: ☂}}[/tex]
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$5,000 at a simple annual interest rate of 6.5% for 5 years. What is the total amount of interest Ms. Lee must pay?
Answer:
$6625
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: A = P(1 + rt)
P is principle amountr is ratet is time (in years)Step-by-step explanation:
Step 1: Define
Identify variables
P = 5000
r = 6.5% = 0.065
t = 5
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 5000(1 + 0.065 · 5)(Parenthesis) Multiply: A = 5000(1 + 0.325)(Parenthesis) Add: A = 5000(1.325)Multiply: A = 6625Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer:
Correct option is D [tex]\frac{P}{(0.8)(1.08)}[/tex]
Step-by-step explanation:
Let the laptop's original cost be = L
After 20% discount its price will be (100 - 20)% × L = 0.8L
8% sales tax on this price = (100 + 8)% × 0.8L = 1.08 × 0.8L
So, p = 1.08 × 0.8L
⇒ L = [tex]\frac{p}{(0.8)(1.08)}[/tex]
According to government documents in 2002, the percentage of individuals who admitted to consistently going more than 10 miles per hour on the interstate was 36%. A survey conducted in 2019, showed that out of 963 participants surveyed, 315 of them admitted to consistently going more than 10 miles over the speed limit. Is there sufficient evidence at that the percentage of individuals speeding more than 10 miles per hour over the speed limit has decreased since 2002?
a) What are the null and alternative hypotheses?
b) What is the value of the test statistic?
c) What is the critical value?
d) What is the decision?
e) What is the conclusion?
Answer:
a) See step by step explanation
b) z(s) = - 2.178
c) z(c) = - 1.64
d) We reject H₀
e) The proportion of drivers has decreased
Step-by-step explanation:
We assume a survey with a random sample
Normality population
Size is big enough to use the approximation of binomial distribution to normal distribution
2019 sample:
sample size n = 963
drivers who admitted going more than 10 miles over the limit
x₁ = 315
p₁ = 315/963 p₁ = 32.71 % or p₁ = 0.3271 and q₁ = 1 - 0.3271
q₁ = 0.6729
Hypothesis Test:
a) Null Hypothesis H₀ p₁ = 36 %
Alternative Hypothesis Hₐ p₁ < 36 % or p₁ < 0.36
b) To calculate z(s) ; z(s) = ( p₁ - 0.36 ) / √ (p₁*q₁)/n
z(s) = ( 0.3271 - 0.36 ) / √ ( 0.3271* 0.6729)/963
z(s) = - 0.0329 / 0.0151
z(s) = - 2.178
c) we will use a confidence interval of 95 %. Then significance level α = 5 % α = 0.05 As the alternative hypothesis indicates we are going to develop a one-tail test
From z- table we find z(c) = - 1.64
d) Comparing z(s) and z(c) |z(s)| > |z(c)|
Then z(s) is in the rejection region for H₀ we reject H₀
e) we can support that the proportion of drivers has decreased since 2002
Determine if the product of 3V2 and 8V17 is rational or irrational. Explain your answer.
Answer:
Step-by-step explanation:
3√2×8√17=24√(2×17)=24√(34)
it is an irrational number.
√34 can't be expressed in the form p/q where p and q are integers.
moreover
5²=25
6²=36
so √34 is between 5 and 6.
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
Geometry
What is the value of x?
Enter your answer in the box.
x = °
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180
30+70+x = 180
100 +x = 180
x = 180-100
x = 80
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
SADIDA NEEDED TO REORDER
SHIRTS FOR HER CLOTHING STORE.
SHE ORDERED 63 MEDIUM SHIRTS
AND 27 LARGE SHIRTS, WHAT WAS
THE RATIO OF MEDIUM TO LARGE
SHIRTS?
ratio of medium shirts to large shirts
63/27
=7:3 [Ans]
A croissant shop produces two products: bear claws (B) and almond-filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. Bear claw profits are 20 cents each, and almond-filled croissant profits are 30 cents each. What is the optimal daily profit?
a. B = 400; C = 1000; Max Z = $380
b. B = 500; C = 900; Max Z = $350
c. B = 250; C = 1500; Max Z = 425
d. B = 300; C = 750; Min Z = $380
Answer:
x₁ = 400 x₂ = 1000
z(max) = 380 $
Step-by-step explanation:
Production:
Flour yeast Almond paste Profit $
Bear claws B (x₁) 6 ou 1 ou 2 TS 0.2
Almond-filled ( x₂) 3 ou 1 ou 4 TS 0.3
Availability 6600 1400 4800
The Model:
z = 0.2*x₁ + 0.3*x₂ to maximize
Subject to
1.-Quantity of flour 6600 ou
6*x₁ + 3*x₂ ≤ 6600
2.-Quantity of yeast 1400 ou
1*x₁ + 1*x₂ ≤ 1400
3.-Quantity of Almond paste 4800 TS
2*x₁ + 4*x₂ ≤ 4800
General constraints:
x₁ ≤ 0 x₂ ≤ 0 both integers
After 6 iterations using an on-line solver. Optimal solution is:
x₁ = 400 x₂ = 1000
z(max) = 380 $
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
I just wanna kno how yo day goin n who ur top 3 fav rappers
Answer:
Step-by-step explanation:
Ynw melly.lil uzi vert, pop smoke
Answer:
min yoongi, jung hoseok, kim namjoon
Step-by-step explanation:
heh.