Lose $13.16
Here, we want to calculate the probability that we would win. The probability of winning is =
( No. of slots that win/ total no. of slots.)
For each individual spin, there are two possible outcomes:
- There is a 1 in 38 chance of winning $175.
- There is a 37 in 38 chance of losing $5.
The expected value for each spin is the sum of the products of each outcome by their respective probability.
expected value =E1×P1 + E2×p2
175×1/38 + (-5) × 37/38
175/38 - 185/38
-10/38
In 50 spins, the expected value is:
E(50) = 50 × (-10/38)
E(50) = - $13.16
expect to lose $13.16 if you spin the wheel 50 times.
To learn more about Probability
visit - https://brainly.com/question/13604758
#SPJ9
help math thx!!! dont haft to explain
Answer:
Step-by-step explanation:
try number 1
From the value found for the x, the angle ABD is 37° and the angle DBC is 58°.
Linear Expression
A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.
The question gives that the angle ABC is 95°. The angle ABC is composed of the angles ABD and DBC. Thus, you should sum the angles ABD and DBC, for finding x.
2x+23+9x-5=95
11x+18=95
11x=95-18
11x=77
x=7
Like x=7, you can find the angles ABD and DBC
Angle ABD = 2*7+23=14+23=37°Angle DBC = 9*7-5=63-5=58°Learn more about the algebraic expression here:
brainly.com/question/2164351
#SPJ1
What is the product 2 x-8 / x²-16 . x²+5 x+4 / x²+8 x+16 in simplest form? State any restrictions on the variable.
The required simplification of an expression is 2(x + 1) / (x + 4)(x + 4).
What is an expression?
An expression is any statement in mathematics written using numbers, variables and at least one operation present.
Simplification of the expression: 2x - 8 / x² - 16 . x² + 5x + 4 / x² + 8x + 16
Given an expression,
2x - 8 / x² - 16 . x² + 5x + 4 / x² + 8x + 16
On simplifying, we get,
(2x - 8).(x² + 5x + 4) / (x² - 16).(x² + 8x + 16)
For the numerator, (2x - 8).(x² + 5x + 4), we have,
= 2(x + 1)(x - 4)(x + 4)
For the denominator, (x² - 16).(x² + 8x + 16)
= (x + 4)(x - 4)(x + 4)(x + 4)
Now, (2x - 8).(x² + 5x + 4) / (x² - 16).(x² + 8x + 16)
= 2(x + 1)(x - 4)(x + 4) / (x + 4)(x - 4)(x + 4)(x + 4)
= 2(x + 1) / (x + 4)(x + 4)
The restriction to the given expression is that the denominator, x + 4 should not be 0.
Hence, the required simplification of an expression is 2(x + 1) / (x + 4)(x + 4).
To learn more about an expression, visit here:
https://brainly.com/question/1718606
#SPJ4
please help with this
Answer: i got no clue
Step-by-step explanation:
There are 3 consecutive integers. Four times the smallest integer is equal to six more than more than three times the largest. What is the smallest of the 3 integers?
Answer:
The answer is 12.
Step-by-step explanation:
Let the smallest number = x and the largest number = x+2(since the three numbers are consecutive, we would have to use x+2. If we wanted the second largest number, it would be x+1)
We would write the statement "four times the smallest integer is equal to six more than more than three times the largest" as:
4x = 3(x+2) + 6
Now just solve.
4x = 3x+6+6 distributive property
4x = 3x+12 simplify
x = 12 subtraction property
And since x is the smallest number, we have our answer.
Therefore, the answer is 12.
When thinking about the small group as a system, what is the key component that connects all of the system's relevant parts?
a. equifinality
b. summativity
c. multifinality
d. communication
e. minifinality
When thinking about the small group as a system, the key component that connects all of the system's relevant parts is D. Communication.
How to illustrate the information?It should be noted that the system framework is important as it reminds us that the piece of puzzle interacts with each other.
Therefore, when thinking about the small group as a system, the key component that connects all of the system's relevant parts is communication.
The sender, also known as the communicator or source, is where communication starts. The sender wishes to share some kind of information with the recipient(s), such as a request, query, or idea.
Understanding comes through good communication. Four essential elements make up the communication process. These elements consist of encoding, transmission medium, decoding, and feedback.
It should be noted that communication links the parts together.
Therefore when thinking about the small group as a system, the key component that connects all of the system's relevant parts is Communication.
Learn more about communication on:
brainly.com/question/26152499
#SPJ1
can you help solve the problem
Answer: D
Explained: you find the solutions to x and the y axis to graph
$10,000, time to double is 12 years, what is the annual rate & amount after 10 years?
well, double of 10000 is 20000, so hmmm happens in 12 years, ok
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20000\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &12 \end{cases}[/tex]
[tex]20000=10000\left(1+\frac{~~ \frac{r }{100 } ~~}{1}\right)^{1\cdot 12} \implies \cfrac{20000}{10000}=\left( 1+\cfrac{r}{100} \right)^{12} \\\\\\ 2=\left( \cfrac{100+r}{100} \right)^{12}\implies \sqrt[12]{2}=\cfrac{100+r}{100}\implies 100\sqrt[12]{2}=100+r \\\\\\ 100\sqrt[12]{2}-100=r\implies {\LARGE \begin{array}{llll} \stackrel{\%}{5.95}\approx r \end{array}}[/tex]
now, what will it be after 10 years assuming we use 5.95%? mind you that's a rounded figure, but close enough.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 5.95\%\to \frac{5.95}{100}\dotfill &0.0595\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=10000\left(1+\frac{0.0595}{1}\right)^{1\cdot 10} \implies {\LARGE \begin{array}{llll} A \approx 17824.18 \end{array}}[/tex]
answer the question with a reason, please
Answer:
Diagram A
Step-by-step explanation:
a line of best fit can only be drawn if thier is strong negative or positive correlation
solve for x.
60°
8x-4
Answer: x=8
Step-by-step explanation: i did this exact question on OW
determine the probabilities of being dealt each of the following hands from a poker deck of 52 cards. a.) three cards all of the same type. b.) four cards all of a different type (no pairs, three of a kind or four of a kind). c.) six cards of which exactly four are of the same suit.
A) 54,912 B) 2,598,960 C) 15
A) The number of ways to produce three of a kind (Num3) is equal to the product of the number of ways to make each independent choice. Therefore,
Num3 = 13C1 * 12C2 * 4C3 * 4C1 * 4C1
Num3 = 13 * 66 * 4 * 4 * 4 = 54,912
B) First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. This is a combination problem. The number of combinations is n! / r!(n - r)!. We have 52 cards in the deck so n = 52. And we want to arrange them in unordered groups of 5, so r = 5. Thus, the number of combinations is:
52C5 = 52! / 5!(52 - 5)! = 52! / 5!47! = 2,598,960
Hence, there are 2,598,960 distinct poker hands.
C) 6 C 4 = 6! / 4! (6-4)!
= 6*5*4! / 4!*2!
= 30 / 2
= 15
For more information on probability click on the link below:
https://brainly.com/question/24756209
#SPJ4
Based on the diagram, which of the following statements must be true?
A. No lines are parallel
B. a || b and l || m
C. l || m
D. a || b
Answer: The answer is B. a||b and l||m
Step-by-step explanation: I hope this helps.
Mrs. White ordered 6 large boxes and 9 small boxes of crayons for the school art classes. Each large box has 189 crayons, and each small box has 90 crayons. Which is the best estimate of the number of crayons Mrs. White ordered
Each pair of values is from a direct variation. Find the missing value. (3,7),(8, y)
The missing value of direct variation is 56/3
What is direct variation ?The direct variation property states that , whenever the division of values of two quantities is a constant value then there is same variation between these two corresponding values. Or we can also say that if the divisible nature of two corresponding values is constant, then one quantity is directly varies with second quantity. That mean if one quantity increase other will also increase and vice versa.
Let say if x and y are two values and k is a constant value, then
According to direct variation
k = y/x or y = k x
In the given question,
Take the order pair (3,7)
As it is an direct variation, we can substitute it
y=k x
7=k (3)
K=7 / 3
Now find the direct variation equation
y=k x
Also, k=7/3
Solve this equation for the second pair (8,y)
As, y=7/3 x
y= 7/3 (8) = 56/3
Therefore, missing value is 56/3
To know more about direct variation and values, visit :
https://brainly.com/question/14254277
#SPJ4
What is the slope of the line that passes
through the points (8, 2) and (10, 2)?
Write your answer in simplest form.
Answer:
Submit Answer
undefined
attempt 1 out of a
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 2 ) and (x₂, y₂ ) = (10, 2 )
m = [tex]\frac{2-2}{10-8}[/tex] = [tex]\frac{0}{2}[/tex] = 0
Solve the equation for a.
−7(a+13)=−6(−3a+10)
a=
Answer:d=-3743
Step-by-step explanation:
Find the inverse of each function. Is the inverse a function?
y=3 x+1
In mathematics, an inverse function is one that "reverses" another function. The inverse of each function y = 3x + 1 is y = x−13.
What is meant by inverse function?The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.
An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.
Let the function be y = 3x+1
Replacing f(x) with y, we get
y = 3x+1
simplifying the above equation, we get
x = 3y + 1
Subtracting 1 from both sides to get
3y = x − 1
Dividing both sides by 3, we get
y = x−13
Replace y with f⁻¹(x), we get
f⁻¹(x) = x−13
The inverse of each function y = 3x+1 is f⁻¹(x) = x−13.
To learn more about inverse function, refer to:
brainly.com/question/11735394
#SPJ4
A computer is rendering two scenes. The computer has already rendered 540 thousand pixels (\text{kpx}kpxstart text, k, p, x, end text) of a kitchen scene and renders another 90\,\text{kpx}90kpx90, start text, k, p, x, end text each minute. The computer has rendered 960\,\text{kpx}960kpx960, start text, k, p, x, end text of a garden scene and renders 60\,\text{kpx}60kpx60, start text, k, p, x, end text more pixels each minute. After how many more minutes will the scenes have the same amounts rendered?
The minutes when the scenes have the same amounts rendered is 14 minutes.
How to illustrate the expression?The expression for the kitchen is illustrated as 540 + 90t.
The expression for the garden is illustrated add 960 + 60t.
Therefore, for the same amount, this will be:
540 + 90t = 960 + 60t.
Collect like terms
90t - 60t = 960 - 540
30t = 420
Divide
t = 420 / 30
t = 14 minutes
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
A certain star is 4.6 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How far from the earth (in miles) is the star? Has to be answered in scientific notation
The distance of the earth from the star is mathematically given as
2.537 x 10¹⁵ miles
How far from the earth (in miles) is the star?Generally, the Coefficients for the problem are mathematically given a
Coefficients =4.6 x 5.9
Coefficients =27.14
For Exponents
Exponents 10² x 10¹² = 10⁽²⁺¹²⁾
Exponents =10¹⁴
In conclusion, After that, we put them together once again to produce a scientific notation:
25.37 x 10¹⁴
2.537 x 10¹⁵ miles
Read more about distance
https://brainly.com/question/13034462
#SPJ1
Find f(4) when f(x) = x 2-3x + 3
Step-by-step explanation:
f(x) = x² - 3x + 3
f(4) = 4² - 3.4 + 3
f(4) = 16 - 12 + 3
f(4) = 7
8 1/2 - 4 2/3?????????
let's firstly convert the mixed fractions to improper fractions and then subtract.
[tex]\stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}} ~\hfill \stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}~~ - ~~\cfrac{14}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~ - ~~(2)14}{6}}\implies \cfrac{51~~ - ~~28}{6}\implies \cfrac{23}{6}\implies {\LARGE \begin{array}{llll} 3\frac{5}{6} \end{array}}[/tex]
Complete the missing angles:Two angles of a quadrilateral are 110 and 50 and the other two angles are equal
Answer:
100
Step-by-step explanation:
a quadrilateral has a total of 4 angles
so the sum of all four angles is 360degre
so let the two equal angles be 2x
so 110+50+2x=360
2x=360-160
2x=200
x=200/2
therefore x = 100
A square picture with an area of 100 cm² is mounted on a square piece of matting. The matting has 2.5 times the area of the picture. If the picture is centred on the matting, what width of matting is visible around the outside of the picture? Give your answer to the nearest tenth of a centimetre.
150cm² is the area of matting visible.
What exactly are mathematical operations?An operation, also known as an "operand" or "argument," is a mathematical function that converts zero or more input values into a precisely defined output value.The arity of the operation is influenced by the number of operands.Unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, and binary operations (i.e., operations of arity 2), such as addition and multiplication, are the operations that are most frequently studied.A constant is an operation of arity zero, also known as a nullary operation.The mixed product serves as an example of a ternary operation, which is an operation of arity 3.So, the area of matting is 100 × 2.5:
100 × 2.5 = 250cm²Now, the area of the matting is visible:
250 - 100 = 150cm²Rounding to nearest tens: 150cm²
Therefore, the area of matting visible is 150cm².
Know more about mathematical operations here:
brainly.com/question/20628271
#SPJ9
Can u help me mates Like im dum
Answer:
U: (-7, 0)
S: (-7, -2)
T: (3, -2)
Step-by-step explanation:
Moving a point 6 to the left is the same as subtracting 6 from its x value. Moving a point up 1 is the same as adding 1 to its y value.
Point=(x-6, y+1) where x is the point's original x value and y is the point's original y value.
U: (-1-6, -1+1)=(-7, 0)
S: (-1-6, -3+1)=(-7, -2)
T: (9-6, -3+1)=(3, -2)
-9x-9+5^3x4^4 I need step by step pleas
Answer:
32081.
Step-by-step explanation:
-9x-9+5^3x4^4
Using PEMDAS, the exponents are calculated first:
= -9 x -9 + 125 x 256
Next the multiplications:
= 81 + 32000
= 32081.
help me please i need to know how to do this
Answer:
12'
Step-by-step explanation:
Pythagoras theorem = a² = b²+c²
*a² is always the hypothenuse (the longest side if the triangle)
you could use b² as the base and c² as the height
to find the height i.e., c² you transpose and substitute what we know so that'll be
13'² = 5'² + c²
you expand which will then give you
169 = 25 + c²
you then take over the 25+ which when addition goes over the equal sign becomes subtraction so that'll now give you
169 - 25 = c²
144 = c²
we want to find for c not c² so to do that we find the square root of 144 which is equal to 12.
so the height is equal to 12'
hope this helps
please help me solve 4 +6.5x< 36.5
The solution to the given inequality in inequality and interval notation form are x < 5 and ( -∞,5 ) respectively.
What is the solution to the given inequality?Given the inequality in the question;
4 + 6.5x < 36.5
First, move all terms not containing x to the right side of the inequality.
4 + 6.5x < 36.5
6.5x < 36.5 - 4
Subtract 4 from 36.5
6.5x < 36.5 - 4
6.5x < 32.5
Divide both sides by the coefficient of x
6.5x < 32.5
6.5x/6.5 < 32.5/6.5
x < 32.5/6.5
x < 5
The solution in inequality form is x < 5
The solution in interval notation is ( -∞,5 ).
Therefore, the solution to the given inequality in inequality and interval notation form are x < 5 and ( -∞,5 ) respectively.
Learn more on how to solve inequality problems here: https://brainly.com/question/17675534
#SPJ1
Answer:
X < 5
Step-by-step explanation:
The solution is so subtract the 4 with the 4 and 36.5 you cross out the 4 and subtract 4 form 36.5 which leaves you with 32.5. Then to get the variable by itself you divide 6.5 on both sides, then cross out the 6.5 and divide 6.5 on 32.5 which gives you 5. (I solved it by myself)
Solve each equation. Check your answers. e³x=12
The value of the given equation is x = ln(4) / 3 ≈ 0.4621
property of logarithms:The features of log are employed to expand (or compress) a single logarithm into numerous logarithms. A logarithm is simply another way to express exponents. Thus, logarithmic features are derived from exponentiation qualities.
Solving for the equation:e³x=12
Can be written as:
[e^x] [e^(2x)] = 4
Using the property of power multiplication utilizing the same base
e ^ (x + 2x) = 4
e ^ (3x) = 4
Applying logarithm properties both side:
3x = ln(4)
ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
The value of the given equation is x = ln(4) / 3 ≈ 0.4621
To know more about property of logarithms visit:
https://brainly.com/question/12049968
#SPJ4
If mWVY = 70, find mYVX.
Answer:
Can I see a diagram?
Step-by-step explanation:
How would this word problem be solved?
A phone call costs $0.58 per minute for the first three minutes and $0.15 per minute for each additional minute. If the total charge for the call was $4.29, how many minutes long was the call?
Answer:
31 minutes in total
Step-by-step explanation:
Going step by step, where m = minutes after the first 3:
0.58 + 0.15m = 4.78
We want to solve for m, so we need to isolate it. The first step is to get rid of 0.58 to simplify our equation.
0.15m = 4.78 - 0.58
Now we have:
0.15m = 4.20
To isolate further, we need to remove 0.15.
m = 4.20 / 0.15
m = 28
Now, we add the first 3 minutes to m to get our total time.
28 + 3 = 31
what is 37x1000 plases help
Answer:
Step-by-step explanation: 37 times 1000 equals 37000 if you times anything by 1000 just add 2 zeros to the end