Answer:
gn
Step-by-step explanation:
Answer:
Good Night! :)
What is the product?
(
21 (4)
2A4
274
Given the function f(x) =x+3 witch of the following represents f-1(x)?
Answer:
[tex]f^{-1}[/tex](x) = x - 3
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = x + 3 (subtract 3 from both sides )
y - 3 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = x - 3
You roll 2 dice. If the sum of the dice is: 2, 3, 4 you win $20. If the sum is 5, 6, 7, 8 you win $10. If the sum is 9, 10, 11 you lose $20. If the sum is 12 you lose $25. It costs $5 to play. Create a probability distribution of the random variable, "winnings" including the cost to play, for this game. What is the expected value of the "winnings" for this game? What is the variance for the "winnings" for this game? What is the standard deviation? Is this game a "fair game"? Why or why not?
Answer:
1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])
2) The variance for the "winnings" is $0.57966
3) The standard deviation for the "winnings" is$0.761354
4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]
Step-by-step explanation:
1) The probability of having a sum of 2 = 1/6×1/6 = 1/36
The probability of having a sum of 3 = 1/6×1/6 = 1/36
The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12
The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18
The probability of having a sum of 11 = 1/6×1/6 = 1/36
The probability of having a sum of 12 = 1/6×1/6 = 1/36
The values are;
For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]
For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]
For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]
For 5, we have 1/18 × (10 - 5) = 0.2[tex]\overline 7[/tex]
For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]
For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]
For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]
For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]
For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]
The expected value of the winnings is given as follows;
0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]
Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]
2) Using Microsoft Excel, we have;
The variance for the "winnings", σ² = $0.57966
3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354
4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]
Tyler is simplifying the expression 6−2x+5+4x. Here is his work: 6−2x+5+4x (6−2)x+(5+4)x 4x+9x 13x Tyler's work is incorrect. Explain the error he made. Simplify the expression 6−2x+5+4x.
Answer:
step 2
Step-by-step explanation:
he was not supposed to multiply by x
he was supposed to combine like terms
add -2x and 4x and add 6 and 5
Given 7(x)=-3x+9 g(x)=3x+1 h(x) =3x+3
Answer:
B.) 12
Step-by-step explanation:
h(x) = 3^x + 3
h(2) = 3^2 + 3
h(2) = 9 + 3
h(2) = 12
If you have the problem 752 divided by 3, what is the first step? Please help❤️
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
explain your answer
Answer:
2564
Step-by-step explanation:
Andre draws this tape diagram for 3 divided by 23:
Andre says that 3 divided by 23 = 413 because there are 4 groups of 23 and 13 left. Do you agree with
Plis help me on how much you can thank you first to reply gets brainless
Answer:
yeet
Step-by-step explanation:
yeet yeet yeet yeet yeet yeet yeet yeet yeet eet yett yeet yeet yeet yeet yeet yeet yeet yeet yeety
Using long division to solve this SHOWING WORK: (-10n-26n^2+n^4-25) / (n+5)
4) The given figure shows ∆ABC. Points D,E and F are the mid-points of sides AB,AC and BC respectively. Sides AB, BC and CA measure 6 cm, 10 cm and 8 cm respectively. What is the area of ∆DEF? *
Answer:
the area of ∆DEF = 6 cm²
Step-by-step explanation:
The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
DE // BC and DE = BC/2 = 10/2 = 5
same reason: DF = AC/2 = 4
FE = AB/2 = 3
DF² + FE² = 16 + 9 = 25 = 5² = DE²
by the Pythagorean theorem, ΔDFE is a right triangle
area ΔDEF = (3 x 4) / 2 = 6 cm²
solve the following equation for x (linear equation):
[tex]\frac{b-cx}{a} + \frac{a-cx}{b} + 2 = 0[/tex]
Answer:
[tex]\displaystyle x=\frac{a+b}{c}[/tex]
Step-by-step explanation:
Equations
Solve the equation:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0[/tex]
Subtracting 2:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2[/tex]
Multiply by ab to eliminate denominators:
[tex]\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab[/tex]
Simplifying:
[tex]b(b-cx)+a(a-cx)=-2ab[/tex]
Operating:
[tex]b^2-bcx+a^2-acx=-2ab[/tex]
Subtracting [tex]b^2+a^2[/tex]
[tex]-bcx-acx=-2ab-b^2-a^2[/tex]
Multiplying by -1:
[tex]bcx+acx=2ab+b^2+a^2[/tex]
Factoring:
[tex]c(b+a)x=2ab-b^2+a^2[/tex]
The right side of the equation is the square of a+b:
[tex]c(b+a)x=(a+b)^2[/tex]
Simplifying (for a ≠ -b):
[tex]cx=(a+b)[/tex]
Dividing by c:
[tex]\boxed{\displaystyle x=\frac{a+b}{c}}[/tex]
Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6
Answer:
its a i did it on egn
Step-by-step explanation:
Solve C= AB+ D for B
What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?
Answer:
y = -4/5 x - 5
Step-by-step explanation:
Please help!
Thank you!
Answer:
[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ for \: points \: given \\ = \frac{11 - 7}{5 - 4} \\ = \frac{4}{1} \\ slope = 4[/tex]
Answer:
m = 4
Step-by-step explanation:
equation of point slope formulae
[tex]y = mx + c[/tex]
m = slope , c = y-intercept
1) find the slope
* use the two coordinates given to find the slope
slope formulae:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
i) (4,7)
x1 = 4
y1 = 7
ii) (5,11)
x2 = 5
y2 = 11
substitute the values into the formulae
[tex]m = \frac{11 - 7}{5 - 4} [/tex]
[tex]m = \frac{4}{1} [/tex]
[tex]m = 4[/tex]
the slope = 4
A coin is flipped three times.
What is the number of possible outcomes?
2
4
8
16
Answer:
8
Step-by-step explanation:
2^3 is 8
ill give brainest i need help please
Answer:
[tex]5(x - 2) = \frac{15x + 6}{3} - 12 \\ 5(x - 2) = \frac{15x + 6 - 36}{3} \\ 5(x - 2) = \frac{15x - 30}{3} \\ 5(x - 2) = \frac{15(x - 2)}{3} \\ 15(x - 2) = 15(x - 2)[/tex]
No solution, as value of x doesn't exist.Answer:
All real numbers
Step-by-step explanation:
Given
5(x - 2) = [tex]\frac{15x+6}{3}[/tex] - 12
Multiply through by 3 to clear the fraction
15(x - 2) = 15x + 6 - 36 ← distribute left side and simplify
15x - 30 = 15x - 30
Since both sides are equal then any real value of x will be a solution.
Thus the solution is All real numbers
VERY EASY HALP PLEASE
what is the value of k ?
What is 0.3 of 14? PLEASE HELP
Multiply 14 by 0.3
14 x 0.3 = 4.2
The answer is 4.2
Answer:
4.2 is the answer
Step-by-step explanation:
Remember, in math, 'of ' always mean multiplication!!!
Determine whether each survey question is biased or unbiased. If biased explain your reasoning. How many cars does your Family own?
Answer:
Biased
Step-by-step explanation:
I thing this question is a little bias because it could imply that the more cars your family owns, the richer you are. There could be some other instances where this is not the case, but overall this could be taken as bias.
Suppose that you want to model the height of a ider on a Feris wheel as a function of time, in minutes. If the rider is
at the bottom of the Ferris wheel at t = 0 minutes, which of the following would be easiest to use?
A) the cosine function unreflected
B) the sine function unreflected
C) the cosine function reflected about its midline
D) the sine function reflected about its midline
Using trigonometric functions, it is found that the correct option regarding the appropriate function is:
B) the sine function unreflected
What are the trigonometric functions?The most famous are the sine and cosine, which give information about the angles.
In this problem, the rider is at the bottom of the Ferris wheel at t = 0, hence f(0) = 0, which is true for the sine function, which means that option B is correct.
More can be learned about trigonometric functions at https://brainly.com/question/24680641
Answer:
Answer is C, the cosine function reflected about its midline
Step-by-step explanation:
A mail order company charges 4.5% for shipping and handling. If the total order is 54.34 how much was the order total before shipping? Write an equation
Answer:
$52
Step-by-step explanation:
Given that :
Amount charged for shipping and handling = 4.5%
Let cost of order = x
Total amount charged = 54.34
However,
total. Amount charged = (total cost + handling and shipping)
54.34 = x + 0.045x
54.34 = 1.045x
Order total before shipping = 54.34 / 1.045
Order total before shipping = 52
Thomas has a train collection. He was given 1 train as a gift, and he adds 2 trains per year. Which of the graphs below represents Thomas's
train collection?
Answer:
Graph A
Step-by-step explanation:
The line starts at 1 since that is what he began with. Then it grows by two because every year he gets too more.
Answer:
I am pretty sure the answer would be Option B.
Step-by-step explanation:
If you look on the graph, Option B is the one that makes the most sense because it goes up by a ratio of 1:2 just like in the problem, 1 gift train + 2 trains per year.
Option A would not make sense because it goes up by the ratio of 1:3 and doesn't match up with the problem.
Note:
I hope this helps! :) Please correct me if I am wrong.
USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
3. Graph the given quadratic function in the factored form as shown below.
4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
The given quadratic function in factored form is y = (x - 3)(x + 1).
Graph of the given quadratic function in the factored form as shown below.
Zeros: The zeros of the function occur when y = 0.
So the zeros of the function are x = 3 and x = -1.
Axis of Symmetry:
The axis of symmetry is x = (3 + (-1)) / 2 = 1.
Vertex:
The vertex is (1, -4).
Y-intercept:
The y-intercept is (0, -3).
Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).
Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.
Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
Using the given information, the vertex form equation can be written as:
[tex]y = a(x - (-1))^2 + 3[/tex]
To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:
-5 = a(1 - (-1))² + 3
-5 = a(2)² + 3
-5 = 4a + 3
-8 = 4a
a = -2
Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:
y = -2(x + 1)² + 3
Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
.If 65+5y = 82, 3x +23= 54 and 5z +43= 110, find 3x+ 5y +5z
Step-by-step explanation:
65+5y=82
5y=82-65
5y=17
y=17/5=3.4
3x+23=54
3x=54-23
3x=31
x=31/3=10.3
5z+43=110
5z=110-43
5z=67
z=67/5=13.4
3x+5y+5z3.
3(3.4)+5(10.3)+5(13.4)
10.2+51.5+67
128.7
Does this sequence converge or diverge? \left\{\frac{10n-6}{2n-3}\right\} { 2n−3 10n−6 }
Answer:
The sequence converges
Step-by-step explanation:
Given the sequence Un = 10n-6/2n-3
To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.
[tex]\lim_{n \to \infty} \left\{\frac{10n-6}{2n-3}\right}\\[/tex]
Divide through by n
[tex]= \lim_{n \to \infty} \left\{\frac{10n/n-6/n}{2n/n-3/n}\right}\\= \lim_{n \to \infty} \left\{\frac{10-6/n}{2-3/n}\right}\\= \left\{\frac{10-6/\infty}{2-3/\infty}\right}\\= \frac{10-0}{2-0}\\= 10/2\\= 5[/tex]
Since the limit of the sequence gives a finite value, hence the sequence converges
a ticket originally cost $20, but it's price decreases by 20%
ANSWER ASAP MARKING BRAINLIEST HELPPP
Answer:
$16
Step-by-step explanation:
20% is the same as 0.2 in decimal form, since its decreasing you multiply $20 by 0.8 to get 16. If it was increasing, it would be 20 times 1.2
Answer:
$16.00
Step-by-step explanation:
This is the answer because:
1) Since the price decreases by 20%, we have to first figure out what 20% of $20 is:
20% of $20 = 4
2) Next, we just have to subtract 4 from 20 so we can find out how much the cost is:
$20.00 - 4 = $16.00
Therefore, the answer is $16.00.
Hope this helps! :D
Sheldon works at the coffee shop every Tuesday and he gets paid $15, plus $0.25 for each cup of coffee he sells. This weekend, he wants to make enough money to purchase a kayak, to go out on the lake. He knows that the kayak will cost $50.75 including tax. How many cups will he need to sell to earn enough to buy the kayak?
(please and thank you! -w- )
Answer:
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
Step-by-step explanation:
First write an expression:
15 + 0.25x ≥ 50.75
Next use inverse operations:
15 + 0.25x - 15 ≥ 50.75 - 15
0.25x ≥ 35.75
0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25
x ≥ 143
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
143 cups
Step-by-step explanation:
Sheldon gets a flat $15, as well as 25 cents for each cup of coffee made.
He needs $50.75 to buy a Kayak.
Set the equation. Let the amount of cups of coffee = c.
0.25c + 15 = 50.75
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 15 from both sides of the equation:
0.25c + 15 = 50.75
0.25c + 15 (-15) = 50.75 (-15)
0.25c = 50.75 - 15
0.25c = 35.75
Next, divide 0.25 from both sides of the equation:
(0.25c)/0.25 = (35.75)/0.25
c = 35.75/0.25
c = 143
Sheldon will need to sell 143 cups of coffee.
~
brainly won’t register this
Answer:
The simplified form is [tex]x^{\frac{2}{3} }[/tex]
Step-by-step explanation:
So before solving this question we need to know that.....
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
(proof)
[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]
[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]
x = x
So now we can rewrite the question as.........
[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]
Answer:
A
Step-by-step explanation:
x^2/3