After playing 100 times the player will loose $-16.67.
Given the outcomes and the probability is:
Outcome Probability
-$10 1 (cost to play)
$14 draw red 5/12
$12 draw yellow 4/12
therefore, expected probability = ∑x.p(x)
x is no of trials and
p(x) is probability of the results.
E(x) = (14)5/12 + (12)4/12 + (0)3/12 - 10
E(x) = -2/12
E(x) = -10.1667
For 100 games the expected value E(100x) =
E(100x) = E(x) × 100
E(100x) = -10.1667 × 100
E(100x) = -16.67 i.e loss after game.
Hence the player lose $-16.67 after 100 games.
Learn more about Expected value here:
brainly.com/question/24855677
#SPJ9
Which expression is NOT equivalent to 6√81x⁴y⁸ ?
(f) (3 x y²)²/₃ (g) (3 x)²/₃ y⁴/₃ (h) (3 x²y²)¹/₃ (i) ∛9 x² y⁴
None of the given option is equivalent to 6 [tex]\sqrt81x^{4}y^{8}[/tex].
What are square and square roots?squares are the products of numbers which comes out when the no. is multiplied by itself twice .
and square root helps to find the no. which is multiplied twice to get that no. inside the root.
CALCULATION6 [tex]\sqrt81x^{4}y^{8}[/tex]
= 6 * 9 [tex]x^{2} y^{4}[/tex]
= 54 [tex]x^{2} y^{4}[/tex]
Since from the given option none of the option is equivalent to 6 [tex]\sqrt81x^{4}y^{8}[/tex]
because you can see that all of the option are given in cube roots but the question is in square root .
so , there are two possibilities that maybe the question is typed wrong or the options are incorrect . But if everything present in the question is correct then none of the given values are equivalent to the given expression.
Learn more about square and square roots:
https://brainly.com/question/3120622
#SPJ4
Joseph removes 5/8 gallons of white paint from a can. Then he adds 5/8 gallons of blue paint to the can.
Write and then evaluate a subtraction expression to find the overall increase or decrease in the amount of paint in the can.
Answer: Change = - 2.8 gallons
Step-by-step explanation:
Let X be the starting amount of paint in the can, in gallons.
"Removes 5/8 gallon" can be written -(5/8)gal
"Adds 3/8 gallon" becomes +(3/8)gal
The result is : X - (5/8)gal + (3/8)gal = Remaining Paint (gallons)
Consolidating: Remaining (gallons) = X - (2/8)gal
If we want the overall increase/decrease, subtract the initial volume:
Initial - Remaining = Change in amount of paint in can
Change = (X-(2/8)gal) - X = - (2/8) gallons
Alice, Billy, and Anna are spending the weekend baking cookies for
winter holiday gifts. For each batch of cookies, they’ll need 21
/2 cups of
flour and 11
/4 cups of butter. Each person contributed supplies from
their mothers’ kitchens and met at Anna’s house.
The fraction that Alice, Billy, and Anna should bring when they are spending the weekend baking cookies for winter holiday is 11/12 cups.
How to calculate the value?It should be noted that based on the information, for each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter.
In this case, it should be noted that there are 3 people.
The fraction will be:
= (2 1/2 + 1 1/4) / 3
= 3 3/4 ÷ 3
= 11/12
Therefore, the fraction will be 11/12 cups for each person.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Alice, Billy, and Anna are spending the weekend baking cookies for.winter holiday gifts. For each batch of cookies, they’ll need 2 1/2 cups of flour and 1 1/4 cups of butter. Each person contributed supplies from their mothers’ kitchens and met at Anna’s house. What fraction should each person bring?
The scatter plot and a line of best fit show the relationship between the hours spent sleeping and the hours spent watching TV.
Which statement describes the relationship between the hours spent sleeping and the hours spent watching TV?
For every hour spent watching television, the amount of time spent sleeping drops by an Graph hour.
Graph: A graph is a visual representation, such as a picture or diagram, that shows information or values in a structured way.
The relationships between two or more items are frequently represented by the points on a graph.
Various Graph Types
Pictograph
The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects.
Line Graph:
In a line graph, dots are connected by lines to depict changes over time.
To know more about the graph from the given link:
brainly.com/question/24861666
#SPJ9
Christopher is the oldest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 6363, find Christopher's age.
Christopher's age given the sum of the ages of the three siblings is 23.
What is Christopher's age?An odd number is a number that is not perfectly divisible by 2. An odd number can be a positive number or a negative number. An example of an odd number is 3 and 7.
Consecutive odd integers are odd integers that follow each other on the number line. Consecutive odd integers increase by a value of (x + 2). Examples of consecutive odd integers are 11, 13, 15.
Let x represent the youngest sibling's age
Second sibling's age : x + 2
Christopher's age : x + 4
x + x + 2 + x + 4 = 63
3x + 6 = 63
3x = 63 - 6
3x = 57
x = 57 / 3
x = 19
Christopher's age : x + 4 : 19 + 4 = 23
To learn more about odd numbers, please check: https://brainly.com/question/10850080
#SPJ1
8.
Calculate the midpoint of the line segment
formed with the endpoints shown.
Show your work.
(2, 4) and (5, -1)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 +2}{2}~~~ ,~~~ \cfrac{ -1 +4}{2} \right) \implies \left(\cfrac{ 7 }{2}~~~ ,~~~ \cfrac{ 3 }{2} \right)\implies \left(3\frac{1}{2}~~,~~1\frac{1}{2} \right)[/tex]
What is the answer for this question?
The radical expression ∛24 is between integers 2 and 3
How to determine the two integers?The expression is given as
∛24
The above expression is a radical expression .
So, we have:
Express 24 as the product of 8 and 3
So, we have
∛24 = ∛(8 * 3)
Take the cube root of 8
So, we have
∛24 = 2∛3
Take the cube root of 3
So, we have
∛24 = 2 * 1.44
Evaluate the product
∛24 = 2.88
2.88 is between integers 2 and 3
Hence, the radical expression ∛24 is between integers 2 and 3
Read more about radical expression at
https://brainly.com/question/738531
#SPJ1
Describe the difference between an equation and an expression. Give an example!
The primary difference between expression and equation has an equal sign. An equation has a left side , a right side and an equal symbol separating the sides. But an expression by contrast does not have any sides and equal symbol.
What is Expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.
The primary difference between expression and equation is an equal sign. An equation has a left side , a right side and an equal symbol separating the sides. But an expression by contrast does not have any sides and equal symbol.
For example
ax2+by+c is an expression.
4x+3y+8=5 is an equation.
Therefore expression and equation both are different.
To learn more on Expressions click:https://brainly.com/question/14083225
#SPJ1
Work out ( 3 × 10 − 3 ) − ( 6 × 10 − 5 ) Give your answer in standard form.
Answer:
-28
Step-by-step explanation:
Simplify those in parenthesis first.
( 30 - 3) - (60 - 5)
27 - 55
= -28
Find the inverse of each function.
y=log (x-6)
The inverse of the function y = log(x ₋ 6) is y = 10ˣ + 6.
Given the function is :y = log₁₀ (x ₋ 6)
we are asked to find the inverse of the function.
steps to find inverse function are:
Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.
Here, find y and solve for x = ay + b.
Then we get :
y = (x - b/a).
Finally, we can substitute y = f⁻¹(x) with f⁻¹(x) = (x - b)/a.
now interchange the positions of x and y in the function.x = log₁₀(y ₋ 6)
the next step is to isolate the dependent variables.
y = 10ˣ + 6
hence we get the inverse of the function y = log₁₀ (x ₋ 6) as y = 10ˣ + 6.
Learn more about Inverse functions here:
brainly.com/question/14391067
#SPJ4
Su Young borrows $2,900 from the bank for a new deck and some outdoor patio furniture. The interest rate is 5.5% per year. How much simple interest will she pay if she takes 15 months to repay the loan? Round to the nearest cent.
The simple interest that Su Young paid for borrowing $2,900 for 15 months at 5.5% per year is $199.375.
What is simple interest?Simple interest is interest that is not compounded.
Compounding involves adding earned interests to the principal when computing the next period's interest.
Data and Calculations:Principal = $2,900
Period = 15 months or 1.25 years
Interest Rate = 5.5%
Simple interest amount = Principal x Period x Rate
= $199.375 ($2,900 x 1.25 x 5.5%)
Thus, based on simple interest, Su Young paid $199.375.
Learn more about simple interests at https://brainly.com/question/25793394
#SPJ1
What is a Euler Equations?
Answer: a set of quasilinear partial differential equations governing adiabatic and inviscid flow.
Step-by-step explanation:
that the definition of a Euler Equation.
9)
Find the length of
the hypotenuse of
the right triangle.
6 ft
6 ft
The hypotenuse of the right triangle is found to be 6√2 ft.
What is defined as the Pythagorean theorem?A right triangle contains a single 90 angle within it, which is known as a right angle.The hypotenuse is really the side straight from the right angle in a right triangle. It is the only side of a triangle that does not form a right angle.The Pythagorean Theorem describes the relationship between the sides of a right triangle, where c represents the hypotenuse and a and b represent the sides that form the right angle.The formula is as follows:
H² = B² + P²
where, H is the hypotenuse.
B is the base
P is the perpendicular.
In the given question, hypotenuse is to be calculated.
Lets, base B = 6 ft and
Perpendicular P = 6 ft.
Thus, put the values in the formula;
H² = 6² + 6²
H² = 2×6²
Taking square root on both sides.
H = 6√2
Thus, the value of the hypotenuse if the right angled triangle is found as 6√2 ft.
To know more about the Pythagorean theorem, here
https://brainly.com/question/231802
#SPJ9
A data set related to finding a job contains many variables. Some of the varia
job title, starting salary (in dollars), education required (number of years posts
experience, and location. Classify each variable as categorical or quantitative
column
Categorical variable: job titles, location
Quantitative variable: starting salary, number of years post-experience
Categorical variables represent many data kinds that can be grouped. Race, sex, age, and educational level are a few examples of categorical variables.
In addition, categorical variables are any variables where the data represent groups, as opposed to quantitative variables, which are any variables where the data indicate amounts, such as height, weight, or age.
Learn more about variables here:
https://brainly.com/question/19585043?referrer=searchResults
#SPJ4
Duo makes 65 percent of his dumplings with vegetarian fillings.
What fraction of Duo's dumplings have vegetarian fillings?
The fraction 13/20 of Duo's dumplings have vegetarian fillings.
What is fraction?
A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
Duo makes 65 percent of his dumplings with vegetarian fillings.
According to given question we have
A percentage is a number or ratio expressed as a fraction of 100.
65 percent
=65 %
=65/100
Simplify fraction into simpler fraction,
⇒13/20
Therefore, the fraction 13/20 of Duo's dumplings have vegetarian fillings.
Learn more details about fraction here:
https://brainly.com/question/10354322
#SPJ1
What is the value of x+26
The value of x can not be told as there is no answer to the question "x+26".
Hence, can not be solved and it is left as 'x+26'
i need help with this
Answer:of not
Step-by-step explanation: ops
What is the slope of a line perpendicular to the line whose equation is 3x+y=8. Fully simplify your answer.
Find the average rate of change for the following functions over the interval.
Given the function and interval, the average rate of change of the function over the given interval is 1.
What is the average rate of change of the function over the given interval?The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.
r = ( f(1) - f(0) / ( (1) - (0) )
Given the data in the question;
f(x) = 2x² - x - 2
Intervals: [0, 1]
Plug the given values into the average rate of change formula and simplify.
r = ( f(1) - f(0) / ( (1) - (0) )
r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )
r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0
r = ( (-1) - (-2 )) / 1r = ( -1 - (-2 ) / 1
r = ( -1 + 2 ) / 1
r = 1/1
r = 1
Therefore, the average rate of change of the function over the given interval is 1.
Learn more about average rate of change: https://brainly.com/question/23715190
#SPJ1
The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.
What is the average rate of change of the function over the given interval?The average rate of change of a function is calculated by dividing the change in y-values over the change in x-values of the two point.
AVR = ( f(1) - f(0) / ( (1) - (0) )
Given the data in the question;
f(x) = 2x² - x - 2Intervals: [0, 1]Plug the given values into the average rate of change formula and simplify.
r = ( f(1) - f(0) / ( (1) - (0) )
r = ( (2(1)² - (1) - 2) - ( 2(0)² - (0) - 2 )) / ( (1) - (0) )
r = ( (2 - 1 - 2) - ( 0 - 0 - 2 )) / 1 -0
r = ( (-1) - (-2 )) / 1
r = ( -1 - (-2 ) / 1
r = ( -1 + 2 ) / 1
r = 1/1
r = 1
The average rate of change of the function f(x) = 2x² - x - 2 over the intervals of 0 to 1 is 1.
Learn more about average rate of change here: https://brainly.com/question/23715190
#SPJ1
Can someone answer this plssss
Answer:
It is Perpendicular
If your coefficient is a negative number, what would that indicate for a real life scenario?
the starting amount is positive
the initial quantity is decreasing
the starting amount is negative
the initial value is increasing
It should be noted that if your coefficient is a negative number, this indicates for a real life scenario that C. the starting amount is negative.
A negative coefficient means what?A negative coefficient indicates that the dependent variable tends to drop as the independent variable rises. The coefficient value is the amount that a one-unit change in the independent variable affects the mean of the dependent variable while keeping all other model variables constant.
If the correlation coefficient is negative, the two parameters you evaluated may have an inverse relationship.
Therefore, it should be noted that if your coefficient is a negative number, this indicates for a real life scenario that the starting amount is negative
Learn more about coefficient on:
https://brainly.com/question/2930011
#SPJ1
Due today! Help, please! Will give brainly! 25 pts
The measures of the angles are
TLN = 51, NLM = 129 and MZQ = 129JZQ = TLN = 99LMO= ZMR = 34 and LMR = y = 166How to determine the measures of the angles?1. Angle TLN, MZQ and NLM
The angles TLN and NLM are supplementary angles
So, we have
TLN + NLM = 180
This gives
3x - 18 + y = 180
Also, we have
TLN + MZQ = 180
So, we have
3x - 18 + 5x + 14 = 180
Evaluate the like terms
8x -4 = 180
This gives
8x = 184
Divide
x = 23
Substitute x = 23 in 3x - 18 + y = 180
3 x 23 - 18 + y = 180
Evaluate
51 + y = 180
So, we have
y = 129
The above computations imply that:
TLN = 3 x 23- 18 = 51
NLM = y = 129
MZQ = 5 x 23 + 14 = 129
2. Angle JZQ and TLN
The above means that
JZQ = TLN
So, we have
9x + 9 = 8x + 19
Evaluate
x = 10
So, we have
JZQ = TLN = 9 * 10 + 9
JZQ = TLN = 99
3. Angle ZMR, LMO and LMR
The angles ZMR and LMO are congruent angles
So, we have
ZMR = LMO
This gives
x + 14 = 2x - 6
Evaluate
x = 20
Also, we have
LMR + LMO = 180
So, we have
y + 2x - 6 = 180
y + 2 x 10 - 6 = 180
y + 14 = 180
So, we have
y = 166
The above computations imply that:
LMO= ZMR = 20 + 14 = 34
LMR = y = 166
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
Sam says that 2/7 to the power of 2 times 1/3 to the power of 5 can be rewritten as 2/21 to the power of 7 sarah says it can be rewritten as 2/21 to the power of 10 steve says it cannot be rewritten as either of these expressions who is correct explain
If Sam says that 2/7 to the power of 2 times 1/3 to the power of 5 can be rewritten as 2/21 to the power of 7 Sarah says it can be rewritten as 2/21 to the power of 10 Steve says it cannot be rewritten as either of these expression. The person that is correct is: Steve.
Expression2/7 to the power of 2 times 1/3 to the power of 5 can be rewritten or express as [(2/7²)× (1/3^5)].
This implies that both Sam and Sarah are wrong, Only Steve is correct because 2/7 to the power of 2 times 1/3 to the power of 5 can either of the two expression that was mentioned by Sam and Sarah.
Therefore if Steve says it cannot be rewritten as either of these expression. The person that is correct is: Steve.
Learn more about expression here:https://brainly.com/question/723406
https://brainly.com/question/4344214
#SPJ1
Find the height and area of the base of a rectangular pyramid with a volume of 70 cubic centimeters, length of 7 centimeters, and width of 6 centimeters
The height of the rectangular pyramid will be 5 centimeters.
What is volume?The volume of any solid body is defined as the space covered by the object in the three-dimensional space. For a rectangular pyramid, the volume will be the space covered by a pyramid in a three-dimensional space.
Given that the volume of 70 cubic centimeters, length of 7 centimeters, and width of 6 centimeters.
The height of the rectangular pyramid is calculated by using the formula:-
V = ( l w h ) / 3
70 = ( 7 x 6 x h ) / 3
h = 70 / 14
h = 5
Therefore, the height of the rectangular pyramid will be 5 centimeters.
To know more about volume follow
https://brainly.com/question/27539864
#SPJ1
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 2.2x
y = 3x
y = 1.4x
y= 1/2x
The equations which could represent Relationship B which has a greater rate than Relationship A as described in the task content are; y = 2.2x and y = 3x.
Which equations could represent Relationship B?It follows from the task content that the equation which could represent Relationship B given that it has a greater rate than Relationship A be determined.
It can be evaluated from the graph given that the slope of relationship A which is a measure of it's rate is;
Slope, m = (y2 - y1)/(x2 - x1)
m = (8 -4)/(4-2)
m = 4/2
m = 2.
Ultimately, since the rate of Relationship A is 2, and the rate of Relationship B has to be greater, it follows that the equations which are required are;
y = 2.2x y = 3xRead more on rate and slope;
https://brainly.com/question/27827141
#SPJ1
Find the midpoint of the segment with the following endpoints.
(9, 6) and (5, 2)
The midpoint of the segment is (7, 4).
According to the section formula-
If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-
x = (nx1 + mx2)/ (m + n)
and y = (ny1 + my2)/ (m + n)
Here, we are given two points- (9, 6) and (5, 2)
Therefore,
x1 = 9, y1 = 6
x2 = 5, y2 = 2
Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1
Now, substituting the values in the section formula we get-
x = (9 + 5)/2
x = 14/2
x = 7
and y = (6 + 2)/2
y = 8/2
y = 4
Thus, the midpoint of the segment is (7, 4).
Learn more about the section formula here-
https://brainly.com/question/2287272
#SPJ9
Forty two billion, three hundred and seven million, one hundred and Two thousand, three hundred and fourteen in number. Please help me
Answer:
42,307,0102,014 is the number form
Example 1:
If f(x) = 3x-4, find each value. Show all work.
a) ƒ(4)
b) f(-5)
c) f(2-x)
Answer: f(4) = 8, f(-5) = -19, f(2-x) = -3x+2
Step-by-step explanation:
Let's start by analyzing what we are given:
f(x)=3x-4
In this equation, f is the name of the function.
The number in the parentheses represents x.
The 3x-4 tells us what the equation does. In this instance, we multiply x by 3 and then subtract 4.
Let's start with (a).
f(4)
Since we have established that the number in the parentheses is x, we can plug 4 in for x into the equation f. We must abide by the order of operations. Therefore, we can obtain the following:
f(4) = 3(4) -4
f(4) = 12 -4
f(4) = 8
We can continue this for part (b).
f(-5) = 3(-5) -4
f(-5) = -15-4
f(-5) = -19
Part (c) is slightly different, but applies the same principles we established previously. On this part, we must recall the distributive property. The 3 multiples the 2 and the x. We must also remember to combine like terms.
f(2-x) = 3(2-x) -4
f(2-x) = 6 - 3x -4
f(2-x) = -3x +2
Simplify each radical expression. Use absolute value symbols when needed. 4√16 x¹²
The simplified value of radical expression 4√16 x¹² is 2x^3.
By considering the given expression
4√16 x¹²
=(16x^12)^1/4
=(2^4)^1/4( x^12)^1/4
=2x^3.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.
The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.
The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression ab.
Learn more about radical symbol here
https://brainly.com/question/27847549
#SPJ4
7+(8-3*2) what would be the answer for 50-[20+{50-40}]
Answer:
So the answer would be 20 for 50-[20+[50-40]]
Step-by-step explanation:
50 - 40 =10 and 20 +10 = 30 so we 50 minus 30 which is 20
If its the other one it is 9 because 3 times 2 is 6 and 8 minus 6 is 2 and 7 plus 2 equals 9