Answer: 32x
Step-by-step explanation:
4x (3 + 5)
add 3 and
⇒ 4x (8)
⇒ 32x answer .
hope that helps...
$200 for 12 piano lessons
Answer: Is the question to find unit price, if it is, the answer is $16.77. Divide 200/12 to get the unit price. Hope this helps and good luck to having a bright future ☀️
Step-by-step explanation:
What's the value of the following game: You roll a 100 sided die with sides 1-100. You can either take this number of dollars, or pay $1 to roll again. You can keep on paying $1 to roll for as long as you like.
You roll a 100 sided die with sides 1-100. The optimal strategy is to stop and cash out only if the dice shows 87 or higher , else keep spending $1 to roll again n again, leading to expected winning of $87.35.
Can a die have 100 sides?The 100-sided die Lou Zocchi created is known by the trademark "Zocchihedron," and it made its debut in 1985. It assumes the appearance of a ball with 100 flattened planes, unlike other polyhedran dice. It is also known as "Zocchi's Golfball."
optimal strategy is to stop and take dollar if roll > x, and to pay $1 and continue when roll <= x (as applicable to all/any turn/roll). We need to find x in order to maximize E.
Assuming optimal expected value to be E, once you cast the first roll, there are two possible scenario:
1) we get roll value > x with probability (100-x)/100, and decide to take that amount, expected winning = (x+1+100)/2 (that amount varies uniformly from x+1 to 100 in this case, take the average)
2) we get roll value <= x with probability x/100 and decide to continue, with future expected winning again = E and 1$ loss in fee. Total expected winning in this scenario = E-1
[math]E=\frac{(100-x)}{100}\times\frac{ (x+1+100)}{2}[/math][math] + \frac{x}{100}\times(E-1)[/math]
[math]E = \frac{(100-x)(101+x) - 2x}{200 - 2x}[/math]
maximizing E w.r.t. x,
dE/dx = 0
2x^2 - 400x + 19600 = 0
x = ( 400+/- sqrt(160000-4*2*19600) ) / 4
Since, 1<= x <= 100, therefore x = ( 400+ sqrt(160000-4*2*19600) ) / 4
x = 85.85786
We just have to calculate E(x=85) and E(x=86) and compare.
E((x=86) = 87.35 and E(x=85) = 87.33
so optimal strategy is to stop and cash out only if the dice shows 87 or higher , else keep spending $1 to roll again n again, leading to expected winning of $87.35.
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What is the solution to this system of linear equations 2x 3y equals 3?
The solution to this system of linear equations is x = 3, y = 2.
2x - 3y = 3
2x = 3 + 3y
2x = 3y + 3
x = (3y + 3) / 2
x = 3/2 + 3/2y
x = 3, y = 2
This system of linear equations features two unknown variables, x and y. The equation 2x - 3y = 3 can be rearranged into 2x = 3y + 3. This equation can then be solved for x by dividing both sides by 2, resulting in x = 3y + 3/2. Since 3y + 3/2 must equal 3, this means that y must equal 2. Substituting 2 for y in the original equation yields 2x = 3 + 3(2), or 2x = 9. Dividing both sides by 2 yields x = 9/2, or x = 3. Therefore, the solution to this system of linear equations is x = 3 and y = 2.
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The solution to the system of linear equations 2x + 3y = 3 is x = 1 and y = -1/3.
1. Rewrite the equation in standard form is
2x + 3y = 3
2. Subtract 2x from both sides of the equation:
3y = 3 - 2x
3. Divide both sides by 3:
y = (3 - 2x)/3
4. Solve for x by substituting y in the original equation:
2x + 3(3 - 2x)/3 = 3
5. Simplify and solve for x:
2x + 3 - 2x = 3
x = 1
6. Substitute x into the equation y = (3 - 2x)/3
y = (3 - 2(1))/3
y = -1/3
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PLEASE HELP...
Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct
Answer:
4+
5+4+2
+2+4+9+3
+3.5+3.5
=99cm
What is the length of the leg (b) of the triangle?
Answer:
20
Step-by-step explanation:
c² = a² + b²
25² = 15² + b²
625 = 225 + b²
b² = 625 - 225
= √400
= 20
Austin had 1200 apples eaten in his hole life. Austin is 22 years old . how many apples did he eat per year?
Answer:
54 apples
Step-by-step explanation:
i know that he most likely didnt eat the same amount of apples per year but, if you divide the number of apples he ate overall by his age you get 54 apples.
what can you say about the series ∑an in each of the following cases
a) lim |(an+1)/(an)∑|=1
n→[infinity] b) lim nth root(|(an)|=2/3
n→[infinity]
c) lim |(an+1)/(an)|=0.8
n→[infinity]
d) lim |(an+1)/(an)|=3/2
n→[infinity]
e) lim |(an+1)/(an)|=3
n→[infinity]
f) lim nth root(|(an)|=1/2
n→[infinity]
In each of the cases, the series ∑an is convergent. This means that the limit of the sequence of partial sums of the series is finite.
In case a, since the limit of the ratio of consecutive terms is 1, the series is convergent and its sum is equal to the limit of the sequence of partial sums of the series.In case b, since the limit of the nth root of the absolute value of the terms is 2/3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case c, since the limit of the ratio of consecutive terms is 0.8, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case d, since the limit of the ratio of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case e, since the limit of the ratio of consecutive terms is 3, the series is convergent and its sum is equal to the limit of the sequence of partial sums.In case f, since the limit of the nth root of the absolute value of consecutive terms is 3/2, the series is convergent and its sum is equal to the limit.Learn more about Convergent here:
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There are 8 employees on The Game Shop's sales team.
Last month, they sold a total of g games. One of the
sales team members, Chris, sold 17 fewer games than
what the team averaged per employee.
How many games did Chris sell?
Write your answer as
an expression.
games
According to the solving the team average is g/17 and Chris sold (g/8) - 17 games.
What do you mean by average?The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.
How do you calculate the mean?Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.
According to the given information:average game sold = g/8
since Chris sold 17 games less than average
hence, Chris sold games
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How can you find 50% of any number? Select all that apply.
Divide by 50
Find 1/2 of the number.
Divide the number by 2.
Divide by 100.
DEFG is a square with vertices at D(1, 1), E(1,6), F(6, 6), and G(6, 1). DEFG is reflected in the line x = 1. Find the coordinates of
D',E,F, and G'.
By considering the reflection, the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
What is square?A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.
What is reflection?Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.
When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.
The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:
D(1,1) => D'(1-1,1) => D'(0,1)
E(1,6) => E'(1-1,6) => E'(0,6)
F(6,6) => F'(6-1,6) => F'(5,6)
G(6,1) => G'(6-1,1) => G'(5,1)
So the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
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Given P(A and B)= 0.09, P(B)= 0.25. FIND P(A given B)
A:0.34
B:0.29
C:0.02
D:0.36
Answer:
the answer would be C
Step-by-step explanation:
What is the intercept of this line? y−6=4(x+5)
Answer:
[tex]y-intercept=(0,26)[/tex]
[tex]x-intercept=(-13/2,0)[/tex]
Step-by-step explanation:
Given
[tex]y-6=4(x+5)[/tex]
→ [tex]y=4(x+5)+6[/tex]
→ [tex]y=4x+20+6[/tex]
→ [tex]y=4x+26[/tex]
To find the y-intercept we will plug in x=0
y=4(0)+26=26Now to find the x-intercept we will plug in y=0
[tex]0=4x+26\\[/tex]
→ [tex]4x=-26[/tex] → [tex]x=\frac{-26}{4}[/tex]
x= -13/2[tex]-------------[/tex]
hope it helps...
have a great day!!!
area de un triangulo rectangulo si saben digame por favorrrrr
A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.
Answer:
Least to greatest.
Persian, Maine Coon, and American Shorthair
Refer to the equation a-6 equals b if a equals 45 what is the value of b?
Answer:
Step-by-step explanation: a=4, b=2.
Answer:
b = 39
Step-by-step explanation:
[tex]a-6=b[/tex]
if a = 45:
[tex]45-6=b\\39=b[/tex]
Hope this helps
In the diagram below of parallelogram ABCD with diagonals AC and BD, m∠1=45° and m∠DCB=120°.Whatisthemeasureof∠2?
Answer:
15degrees
Step-by-step explanation:
From the given diagram
<1+<2 + <DCB = 180
<1+<2+120 = 180
<1+<2 = 180 - 120
<1+<2 = 60
<2 = 60 - <1
<2 = 60 - 45
<2 = 15degrees
Hence the measure <2 is 15degree
which rule can be used to find the output numbers in this table
Easy question! Will mark brainiest if you show steps
What value of x makes this equation true?
x/3 − 3 = x/9 + 3
A. 3
B. -9
C. -1
D. 27
Answer:
D.27
Step-by-step explanation:
I took a picture of my work doing a explanation.
(sorry for the messy hand writing)
Choose all the conversion factors that relate cups to fluid ounces. 8fl oz1c 8c1fl oz 1fl oz8c 1c8fl oz 4fl oz2c
Answer:
[tex]1\ c = 8\ fl\ oz[/tex]
[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]
[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]
Step-by-step explanation:
The options are not properly formatted;
So, I will solve the question using general notations
Required
Conversion factors of cups and fluid ounces
Let
[tex]c = cup[/tex]
[tex]fl\ oz = fluid\ ounces[/tex]
In standard conversion
[tex]1\ c = 8\ fl\ oz[/tex]
Divide both sides by 8
[tex]\frac{1\ c}{8} = \frac{8\ fl\ oz}{8}[/tex]
[tex]\frac{1}{8}\ c = 1\ fl\ oz[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{8}\ c = 1\ fl\ oz * 2[/tex]
[tex]\frac{1}{4}\ c = 2\ fl\ oz[/tex]
What are logarithms used for?
Logarithms are used for a variety of purposes in mathematics, science, engineering, and other fields. Some common uses of logarithms are mentioned below:
What are functions?A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
What are exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, however it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
They are used for:
Solving exponential equationsCompressing dataMeasuring the Richness of a signalComparing quantitiesSolving problems in physics and engineeringIn finance, it is used for financial modelings, such as the Black-Scholes model for pricing optionsIn computer science, it is used for information theory in the analysis of algorithms, complexity theory, and data compression.To learn more about exponential visit:
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help me with this plz
Answer:
https://dlsfile.com/dd/MTQ1ODE5dnJpZ3doanhobV8zNDEzMjU
Step-by-step explanation:
I would help you.. but after what u did I'd rather do my work instead then helping you.. and see how it feels
GGFCTVBHBGVGBHTVfhjdcnjddjhfbvncdfbvf
DFGTBHGVFGHNHYJ dhnchvfdhngvjgf
To determine the mean number of children per
household in a community, Tabitha surveyed
20 families at a playground. For the 20 families
surveyed, the mean number of children per
household was 2.4 .4 Which of the following
statements must be true?
A) The mean number of children per household in
the community is 2.4 .
B) A determination about the mean number of
children per household in the community should
not be made because the sample size is too small.
C) The sampling method is flawed and may
produce a biased estimate of the mean number
of children per household in the community.
D) The sampling method is not flawed and is likely
to produce an unbiased is not flawed and is likely
number of children per household in the
community.
True statement is number C.
What is biased and unbiased sample in statistics?
The method of sampling where a portion of population are given priority over the rest of the population is called biased sample.
In the unbiased sampling method almost, each population is valued, and they are given chance to be selected in the data list.
flawed sampling means the method of sampling is inappropriate such as survey works that taken in non-random way. As example, researchers start to ask people walking in the street.
Which statement is true as given in question?The survey was taken at a playground on 20 families.
the survey estimated that mean number of children per household in the community was 2.4.
The main purpose of the survey was to determine the mean number of children per household in the community.
but the survey study was held at the playground and the sample size is too small.
The above data could not give the true estimation.
So, the sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
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Please answer correctly! Afterwards I’ll mark you brainlist!
Answer:
Area:80mi^2
Perimeter:40mi
Step-by-step explanation:
should I shoot my shot?
Answer:
yesssssss!!!!!!!!!!!
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
5.(x+7)(4x2+7)
6.(b−3x)(3x2−1)
Which situation results in a final value of zero?
Answer:
The total profit made when a person buys an item for $2.25 and then sells the item for $2.25.
Step-by-step explanation:
The item is bought for $2.25 and sold for the same rate. There is no profit.
Final value is 0.
Bro can someone please help me on these three questions I’ve been trying to get help on these questions for like the past 30 minutes please help me
Answer:
Step-by-step explanation:
1). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{6}{8}[/tex]
x = [tex]\text{cos}^{-1}(\frac{3}{4} )[/tex]
x = 41.41°
2). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{4}{5}[/tex]
x = [tex]\text{cos}^{-1}(0.8)[/tex]
x = 36.87°
3). By applying cosine rule in the given triangle,
cos(x°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x°) = [tex]\frac{51}{85}[/tex]
x = [tex]\text{cos}^{-1}(0.6)[/tex]
x = 53.13°
When 32 is subtracted from the square of a number, the result is 4 times the number. Find the positive solution
Step-by-step explanation:
x² - 32 = 4x
x² - 4x - 32 = 0
with a little bit experience we see immediately that this is
(x - 8)(x + 4) = 0
the positive x for this to be true is x = 8.
formally, the solution to a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (4 ± sqrt((-4)² - 4×1×-32))/(2×1) =
= (4 ± sqrt(16 + 128))/2 = (4 ± sqrt(144))/2 =
= (4 ± 12)/2 = 2 ± 6
x1 = 2 + 6 = 8
x2 = 2 - 6 = -4
we were right at the beginning.
the positive solution is x = 8.
Dange measures and finds that she can do a vertical jump that is27.5 % her height f dange can jump 13.2 inches how tall is she
The height of Dange who can jump 27.5% of her height is 10.4 inches.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.
Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,
(127.5/100)×f = 13.2.
1.275f = 13.2.
f = 13.2/1.27.
f = 10.4 feet.
So, The height of Dange is 10.4 inches.
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The reasons as well as the answer
Answer:
x = 46, y = 67
Step-by-step explanation:
x = ∠ AEC = 46 ( alternate angles )
Since Δ ACE is isosceles then the base angles are congruent, then
y = [tex]\frac{180-46}{2}[/tex] = [tex]\frac{134}{2}[/tex] = 67
Answer:
x=46° and y=67°
Step-by-step explanation:
triangle ACE is isosceles, meaning <A=<B=y
any triangle is add up to 180. <A+<B+<C=180
y+y+46=180
2y=180-46
2y=134
divide both sides by 2
y=134/2
y=67°
for angle x°
since AB is parallel to CD,hence
<AEC=<ECD
x=46°