Answers
Answer:
31. (98,765 x 9) + 3 = 888,888
32. (12,345 x 9) + 6 + 111,111
33. 3367 x 15 + 50,505
34. 15,873 x 28 = 555,555
35. 33,334 x 33,334 = 1,111,155,556
36. 11,111 x 11,111 = 123,454,321
41. 3 + 9 + 27 + 81 + 243 = 3(243 -1) / 2
42. 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 = 5/6
hope this helps
Answer:
see the step-by-step explanation
Step-by-step explanation:
31. (98,765 x 9) + 3 = = 888,888
32. (12,345 x 9) + 6 + 111,111
33. 3367 x 15 + 50,505
34. 15,873 x 28 = 555,555
35. 33,334 x 33,334 = 1,111,155,556
36. 11,111 x 11,111 = 123,454,321
41.3+9+27+81 +243 = 3(243-1)/2
42. 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 = 5/6
Related Questions
The face of a clock is divided into 12 equal parts. the radius of the clock face is 10 inches. assume the hands of the clock will form a central angle. the face of a clock is divided into 12 equal parts. which statements about the clock are accurate? select three options.
Answers
The options C and E is a correct options which are
C. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
According to the statement
we have given that the radius of the clock face is 10 inches and the face of a clock is divided into 12 equal parts.
And we have to choose the three statements which are correct from the given options.
So,
Check the all given options to find the correct options.
So, OPTION A :
360/12=30 degrees between each number
3-1 = 2 2*30 = 60 degrees so A is FALSE
Now, OPTION B:
C=2 x π x r
r=10
using 3.14 for PI = 10*3.14 =31.4 x 2 = 62.8 so B is TRUE
Now OPTION C:
30 x 4 = 120 degrees = TRUE
Now, OPTION D:
10-3 = 7
7/12 x 62.8 = 0.5833*62.8 = 36.63 inches = FALSE
Now, OPTION E:
1/12=0.0833 x 62.8 = 5.23 rounded to 5.2 = TRUE
So, The options C and E is a correct options which are
C. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
Disclaimer: This question was incomplete. Please find the full content below.
Questions:
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle.
Which statements about the clock are accurate? Check all that apply.
A. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B. The circumference of the clock is approximately 62.8 inches.
C.The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D. The length of the major arc between 3 and 10 is approximately 31.4 inches.
E. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
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what is the range of this graph
Answers
D. 1
E. 3
The range of the graph is from 0 to 3 including, so any values between these numbers be within the range. These means that B.2 D.1 and E.3 should all be checked.
bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpoint between A and E
Answers
The midpoint between A and E is (0,1)
How to determine the midpoint between A and E?The coordinates of the cities are given as:
A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).
From the above, we have:
A = (-2,3)
E = (2,-1)
The midpoint between A and E is calculated using
Midpoint = 1/2 * (x1 + x2, y1 + y2)
Substitute the known values in the above equation
Midpoint = 1/2 * (-2 + 2, 3 - 1)
This gives
Midpoint = 1/2 * (0, 2)
Evaluate the product
Midpoint = (0, 1)
Hence, the midpoint between A and E is (0,1)
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The area of triangle ABC is 4√2 m².
Work out the value of x.
Give your answer correct
to 3 significant figures.
Note: Please make sure your final line says x =
Answers
Answer:
x=1.08 (3SF)
Step-by-step explanation:
hope it helps!!!!
Find the equation of a line in slope-intercept form with a slope of 5 that contains the point (3,8).
Group of answer choices
y=5x−15
y=5x+8
y=5x−7
y=3x+8
Answers
Answer:
y = 5x - 7
Step-by-step explanation:
y = mx + c
y = 5x + c
to find c, input given coordinates
8 = 5 x 3 + c
8 = 15 + c
-c = 15 - 8
-c = 7
c = -7
put that all together and you get:
y = 5x - 7
The equation of the line with a slope of 5 that contains the point (3,8) is
y = 5x - 7.How to find the equation of the lineThe equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the slope is 5 and the line contains the point (3,8), we can substitute these values into the equation and solve for the y-intercept (b).
Using the point-slope form of the equation:
y - y₁ = m(x - x₁)
We have:
y - 8 = 5(x - 3)
Expanding and simplifying:
y - 8 = 5x - 15
Now, let's isolate y:
y = 5x - 15 + 8
y = 5x - 7
Therefore, the equation of the line with a slope of 5 that contains the point (3,8) is y = 5x - 7.
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having trouble with this
Answers
Answer:
Step-by-step explanation:
13
An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in standard form?
Answers
Answer:
x^2/ 16 + y^2/4 = 1
Step-by-step explanation:
The major axis is 4 and that goes with the x variable. It is the major axis because 4 is a larger value than 2.
4 x 4 = 16
2 x 2 = 4
The equation of the ellipse in standard form is x² / 16 + y² / 4 = 1.
How to derive the standard form of the equation of the ellipse
In this problem we know the coordinates of a vertex, a co-vertex and the center of an ellipse. Based on this information, we find an ellipse whose major axis is parallel to the x-axis. whose formula in standard form is:
(x - h)² / a² + (y - k)² / b² = 1 (1)
Where:
(h, k) - Center of the ellipsea - Major semiaxis lengthb - Minor semiaxis lengthThe major semiaxis has a length of 4 units and the minor semiaxis has a length of 2 units. If we know that (h, k) = (0, 0), a = 4 and b = 2, then the equation of the ellipse is:
x² / 16 + y² / 4 = 1
The equation of the ellipse in standard form is x² / 16 + y² / 4 = 1.
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uhh so i totally forgot but are negative numbers smaller than positives and lets say -1.8, -9, -4.2 which would be bigger
Answers
Answer:
-1.8
Step-by-step explanation:
its bigger than -9 and -4.2
If no denominator equals zero , which expression is equivalent to
Answers
Answer: Choice D
[tex]\frac{-19}{\text{x}-5}[/tex]
=================================================
Work Shown:
[tex]\frac{\text{x}^2+10\text{x}+25}{\text{x}+5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{(\text{x}+5)(\text{x}+5)}{\text{x}+5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{\text{x}+5}{1} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{(\text{x}+5)(\text{x}-5)}{1(\text{x}-5)} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\[/tex]
[tex]\frac{\text{x}^2-25}{\text{x}-5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{\text{x}^2-25-(\text{x}^2-6)}{\text{x}-5}\\\\\\\frac{\text{x}^2-25-\text{x}^2+6}{\text{x}-5}\\\\\\\frac{-19}{\text{x}-5}\\\\\\[/tex]
This matches with choice D as the final answer.
Keep in mind that we can only subtract fractions when the denominator is the same. The rule is [tex]\frac{a}{c}-\frac{b}{c} = \frac{a-b}{c}[/tex]
A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. what is the name of the polygon?octagonhexagonheptagonquadrilateral
Answers
The name of the polygon is (B) hexagon.
What is a hexagon?A hexagon is a six-sided polygon or 6-gon in geometry. The sum of any simple (non-self-intersecting) hexagon's internal angles is 720°.To find the name of the polygon:
Let the number of sides in a polygon be n.Triangles are formed by drawing diagonals from one vertex to each of the others.Because there is no overlapping of the triangles, no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex will lie on top of the adjacent sides, so the number of diagonals from a single vertex is three less than the number of sides or n - 3, and the number of triangles is one more, or n - 2. Number of triangles = number of sides in polygon - 2 Number of triangles = n - 2 n = 4 + 2 n = 6The polygon containing 6 sides is called a hexagon.Therefore, the name of the polygon is (B) hexagon.
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The complete question is given below:
A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral
Solve the following question
Answers
Considering that a fraction is not defined when the denominator is zero, the equation is not defined for an angle of 90º.
When is a fraction not defined?A fraction is not defined when the denominator is zero.
In this problem, the expression is given by:
cos(θ)/(1 - sin(θ)) + cos(θ)/(1 + sin(θ)) = 4.
The denominators are zero in two cases:
1 - sin(θ) = 0 -> sin(θ) = 1 -> θ = 90º.1 + sin(θ) = 0 -> sin(θ) = -1 -> θ = 270º.Hence the equation is not defined for an angle of 90º.
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question no.3 ♀️
is 1,2 correct ?
Answers
Answer:
YES THEY ARE CORRECT ✅Good luck ✅A house and a lot are worth $210,000. If the house is worth 6.5 times as much as the lot, find out how much each are worth.
Answers
Answer:
H:182000
L=28000
Step By Step
H=House
L=Lot
H+L=210000
H(6.5)=L
L+(L(6.5)=210000
L=28000
28000(6.5)=H
H:182000
Three lorries each making five trips per day transport 2500 crates from a factory to a distributor in two days .how many lorries each making 6 trips a day are needed to transport 10000 such crates in a day
Answers
Step-by-step explanation:
3×5×2 = 30 lorry trips to deliver 2,500 crates.
3 lorries, 5 trips per day, 2 days
that means that one lorry trip transports
2,500 / 30 = 250/3 = 83.33333... crates = 83 1/3 crates.
now we need x lorries each making 6 trips per day in 1 day (so, 6 trips, period) to transport 10,000 crates.
that looks like
x × 6 × 83.33333... = 10,000
x × 6 × 83 1/3 = 10,000
x × (6×83 + 6 × 1/3) = 10,000
x × (498 + 2) = 10,000
500x = 10,000
x = 20
so, we need 20 lorries each doing 6 trips in one day to transport 10,000 crates in one day.
these are altogether 20×6 = 120 lorry trips.
that is 4 times the number of the original scenario (30 trips).
and logically, when doing 4 times the work, we achieve 4 times the result (10,000 crates instead of 2,500).
The marked price of an article is rs 10000 . If he discounted rate and VAT rate are equal and the price with VAT is 9900 find the vat rate .
Answers
The rate of VAT is 10%.
In the question, we are asked to find the VAT rate, given that the market price of an article is Rs. 10000, the rate of discount and the rate of VAT are equal, and the price after VAT is Rs. 9900.
We assume the rate of discount and the rate of VAT to be r%.
Thus, discount = r% of Rs. 10000 = Rs. r/100 * 10000 = Rs. 100r.
Thus, the price after discount = Rs. 10000 - 100r = Rs. 100(100 - r)
Then, VAT = r% of (Rs. 100(100 - r)) = Rs. r/100 * 100(100 - r) = Rs. r(100 - r).
Thus, the price after VAT = Rs. 100(100 - r) + Rs. r(100 - r) = Rs. (100 + r)(100 - r).
The price after VAT is given to be Rs. 9900.
Thus, (100 + r)(100 - r) = 9900,
or, 100² - r² = 9900,
or, r² = 100² - 9900,
or, r² = 10000 - 9900 = 100,
or, r = ±√100 = ±10.
Since r is the rate of VAT, it cannot be negative, making r = 10.
Thus, the rate of VAT is 10%.
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Which best describes the relationship between the lines with equations 4x−8y=9 and 8x−7y=9?
Answers
Parallel lines maintain the exact slope but different y-intercepts. Perpendicular lines have to oppose, reciprocal slopes like 1/2 and -2 or 8/7 and -7/8.
What was the relationship between the lines with equations 4x − 8y = 9 and 8x − 7y = 9?Given: 4x - 8y = 9 ............(1)
8x - 7y = 9 ............(2)
To be the same line, the equations have to be multiples of each other.
Multiplying (1) by 2, we get
2(4x - 8y = 9) = 8x - 16y = 18
From (1) solve the value of y, we get
4x - 8y = 9 ............(1)
-8y = -4x + 9
The value of y = (1/2)x - 9/8
From (2),
8x - 7y = 9
solve the value of y, we get
-7y = -8x + 9
The value of y = (8/7)x - 9/7
To be the exact line, the equations would be exact. Parallel lines maintain the exact slope but different y-intercepts. Perpendicular lines have to oppose, reciprocal slopes like 1/2 and -2 or 8/7 and -7/8.
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help me with this.
Calculate angles in a triangle
Answers
Step-by-step explanation:
Total Angle in a triangle is 180°
so D = 140 + 25 = 165°
D = 190° - 165° = 15°
Your answer is 15°.
Answer:
angle d = [tex]\boxed{15}^ {\circ}[/tex]
Step-by-step explanation:
The angles in a triangle add up to 180°.
∴ ∠d + 25° + 140° = 180°
⇒ ∠d + 165° = 180°
⇒ ∠d = 180° - 165°
⇒ ∠d = 15°
Which of the following are possible measures of the interior angles of a regular polygon? If possible, how many sides does the polygon have: 90°, 100°, 110° 125°,
150°, 175°.
Answers
Step-by-step explanation:
180(n-2)/n=90 ( this is the solution for the 90)
cross multiplying
180n-360=90n
180n-90n=360
90n=360
90n/90=360/90
n=4, the number of sides for the polygon with 90° is 4 sides
Solution for 100°
180(n-2)/n=100
180n-360=100n
180n-100n=360
80n=360
80n/80=360/80
n=4.5
Same applies to the rest 110°,125° ,150°,175°
HELP! QUICK!!!!!!!!!!!!!!!
Answers
Answer:
Q₃ = 185
Step-by-step explanation:
the first step is to find the median of the data set
the median is the middle value of the data arranged in ascending order
112 , 130 , 132 , 140 , 149 , 151 , 163 , 172 , 185 , 190 , 200
↑ middle value
median = 151
the upper quartile Q₃ is the middle value of the data to the right of the median
163 , 172 , 185 , 190 , 200
↑ middle value
upper quartile Q₃ = 185
g+ 3 = 17
(one step equation)
Answers
Answer:
14
Step-by-step explanation:
Subtract 3 from both sides to isolate g / make g the subject :
g + 3( -3 ) = 17 (-3)
g = 17-3
g = 14
Substituting this into the equation gives us :
14 + 3 = 17
17 = 17
So our final answer is 14
Hope this helped and have a good day
The area of the regular octagon is approximately 54 cm2.
A regular octagon has an apothem with length 4 centimeters and an area of 54 centimeters squared. Line segment A B is a side of the octagon.
What is the length of line segment AB, rounded to the nearest tenth?
3.4 cm
4.8 cm
24 cm
27 cm
Answers
The length of the line segment of octagon which is AB equal to 3.4 cm.
Given that the area of the regular octagon is 54 [tex]cm^{2}[/tex], apothem of regular octagon is 4 cm. Line segment AB is side of the octagon.
We are required to find the length of the line segment AB.
A regular octagon has eight equal sides.
Area of regular octagon=Perimeter*apothem/2-----------1
We have to put the value of area and apothem in equation 1.
54=perimeter*4/2
Perimeter=(54*2)/4
=27 cm
Perimeter=27 cm.
Now we know that the perimeter is equal to the sum of the lengths of all sides of figure. So,
Perimeter=8*side
27=8*AB
AB=27/8
=3.375 cm
After rounding off it will be equal to 3.4 cm.
Hence the length of line segment is equal to 3.4 cm.
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Answer:
A
Step-by-step explanation:
If the area of the given trapezoid is 1,188m^2, find the value of x.
Answers
Answer: x = 52 m
Step-by-step explanation:
The formula we will use, which solves for the area of a trapezoid, is [tex]a=\frac{a+b}{2} h[/tex] where a is a base, b is a base, and h is the height.
We will input the known values, then solve for x.
[tex]\displaystyle a=\frac{a+b}{2} h[/tex]
[tex]\displaystyle 1,188\;\text{m}^2=\frac{36\;\text{m}\;+x}{2}*27\;\text{m}[/tex]
[tex]\displaystyle 1,188\;\text{m}^2=(18\;\text{m}+\frac{x}{2})*27\;\text{m}[/tex]
[tex]\displaystyle 1,188\;\text{m}^2=486\;\text{m}+\frac{27x}{2}[/tex]
[tex]\displaystyle 702\;\text{m}^2=\frac{27x}{2}[/tex]
[tex]\displaystyle 1,404\;\text{m}^2=27x[/tex]
[tex]\displaystyle x=52\;\text{m}[/tex]
The table shows the temperature of a cooling cup of coffee.
Minutes 1 2 3 4
Temperature (degrees C) 97 95.1 93.2 91.3
What is the common ratio of the sequence? Express your answer as a decimal rounded to the nearest hundredth.
Write an explicit formula for the nth term of the sequence where n represents the number of minutes and T(n) represents the temperature of the coffee.
If the pattern continues, what will be the temperature of the coffee after 15 minutes? Express your answer as a decimal rounded to the nearest tenth.
Answers
Based on the given table, the common ratio, explicit formula and temperature of the coffee after 15 minutes is 0.98, Tn = 97 × 0.98^(n-1) and 73.1°C
Geometric sequenceCommon ratio, r = second minutes / first minutes
= 95.1 / 97
= 0.98041237113402
Approximately,
r = 0.98
nth term of the sequence, Tn = ar^n -1
Tn = 97 × 0.98^(n-1)
Temperature of the coffee after 15 minutes, T15 = 97 × 0.98^(n-1)
= 97 × 0.98^(15-1)
= 97 × 0.98^14
= 97 × 0.7536419414749019520643907584
= 73.1032683230654893502459035648
Approximately,
T15 = 73.1°C
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(06.01) evaluate the expression 34 ÷ (14 − 5) × 2. numerical answers expected! answer for blank 1:
Answers
Answer:
1.89
Step-by-step explanation:
34 ÷ (14 − 5) × 2
34 ÷ (9) × 2
34 ÷ 18
1.89
Numerical expression:
numerical expression is a phrase involving numbers.
In mathematics, a numerical expression is a set of numbers that have been written together by utilizing arithmetic operators addition, subtraction, multiplication, and division.
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By evaluating the expression 34 ÷ (14 − 5) × 2 we get = 1.89
What is BODMAS ?Children can use the acronym BODMAS to help them remember the proper sequence to carry out mathematical operations when solving problems. The abbreviation BODMAS stands for B-Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction.
What is numerical expression?A numerical expression is a sentence that uses numbers. A numerical expression in mathematics is a group of integers that have been combined using the addition, subtraction, multiplication, and division arithmetic operators.
According to the given Information :Appling the BODMAS
= 34 ÷ (14 − 5) × 2
= 34 ÷ (9) × 2
= 34 ÷ 18
= 1.89
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Find the area of the region r bounded by y = 4 1 − x2 , y = 4e−x, x = 0, and x = 1 2
Answers
The area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2] is 0.521 square units.
For given question,
We need to find the area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2]
The region bounded by given curves is as shown below.
The area of this region would be,
[tex]\Rightarrow A=\int\limits^\frac{1}{2} _0 {y-\frac{4}{\sqrt{1-x^{2}}}} \, dx \\\\\Rightarrow A=\int\limits^\frac{1}{2} _0 {4e^{-x}-\frac{4}{\sqrt{1-x^{2}}}} \, dx[/tex]
Now we evaluate above integral.
[tex]\Rightarrow A=4\int\limits^\frac{1}{2} _0 {e^{-x}-\frac{1}{\sqrt{1-x^{2}}}} \, dx\\\\\Rightarrow A=4[\int\limits^\frac{1}{2} _0 {e^{-x}}\,dx -\int\limits^\frac{1}{2} _0{\frac{1}{\sqrt{1-x^{2}}}} \, dx]\\\\\Rightarrow A=4([e^{-x}]_0^{\frac{1}{2} } -[sin^{-1}(x)]_0^{\frac{1}{2} })\\[/tex]
[tex]\Rightarrow A=4([1-\frac{1}{\sqrt{e} } ] -[\frac{\pi}{6} ])\\\\\Rightarrow A=4(1-\frac{1}{\sqrt{e} } -\frac{\pi}{6} )\\\\\Rightarrow A=|4~\times (-0.13013)|\\\\\Rightarrow A=0.521[/tex]
Therefore, the area of the region bounded by [tex]y=\frac{4}{\sqrt{1-x^2} }[/tex] , [tex]y=4e^{-x}[/tex] over the interval [0, 1/2] is 0.521 square units.
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The rate of inflation in the fictional land of sardonia is such that the price of a car costing 24000 dollars in u.s. currency will double in eleven years. what is the annual rate of inflation? what will be the price of this car in five years?
Answers
The annual rate of inflation is 35560.86%.
What is inflation?Inflation is defined as an increase in the overall price of goods and services in an economy.When the general price level rises, each unit of currency purchases fewer products and services; hence, inflation equates to a loss of money's purchasing power. Deflation, or a sustained reduction in the general price level of goods and services, is the inverse of inflation. The inflation rate, which is the annualized percentage change in a general price index, is the most commonly used metric of inflation.To find the annual rate of inflation:
48,000=24,000e^k(7)24,000 24,0002=e^k(7)ln2=lne^k7ln2=k77 7k=0.099 --> k=9.9%Now, sub in 4 and 0.099
=24,000e^(0.099)(4)=35560.86Therefore, the annual rate of inflation is 35560.86%.
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The correct question is given below:
The rate of inflation in the fictional land of Sardinia is such that the price of a car costing 24,000 dollars in U.S. currency will double in seven years. What is the annual rate of inflation? what will be the price of this car in four years?
Voluntary sampling is one type of sampling method that is not probability based. this means that
Answers
Voluntary sampling is one type of sampling method that is not probability based this means that the survey's findings cannot be reliably extrapolated or generalized.
What is voluntary sampling?
A sample made up of people who freely decided to take part in the sample group is known as a voluntary sampling. Those who want to participate in a voluntary sampling typically do so because they are passionate about the topic of the survey. According to definitions, a sample with self-selected individuals is one that includes voluntary responses.
Researchers who wanted to be able to generalize their findings to the entire community would not choose volunteer sampling because it does not produce a representative sample.
A convenience sample is one that the researcher can use at their discretion, such as voluntary sampling.
However, because only those who have strong opinions about the poll will typically agree to participate, voluntary sampling can result in bias.
The survey's findings cannot be confidently extrapolated or generalized because of the possibility of bias.
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PROBLEMS TO SOLVE
Solve the following problems IN PENCIL. You must show ALL WORK. Make sure graphs
have Titles and are properly labeled WITH UNITS:
1. Graph the following sample data set showing the distance covered by a runner
during an 800 meter race.
Answers
A graph for the data (time and distance) shown in the given table is plotted in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = 67.814x
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A boardwalk game of chance costs $1 to play. you have a 25% chance of winning $1 back, a 20% chance of winning $2 (your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). what is the expected value of playing the game if you lose your bet 45% of the time?
Answers
Expected value of playing the game = $0.8
What is cost ?
Cost denotes the amount of money that a company spends on the creation or production of goods or services. It does not include the markup for profit. From a seller's point of view, cost is the amount of money that is spent to produce a good or product.
Cost of playing = $2
Expected return
10% chance to win $1 = $1 10% = $0.1
25% chance to win back $2 = $2 25% = $0.5
50% chance to win $5 = $5 50% = $2.5
15% chance to lose $2 (being cost) = $2 15% = ($0.3)
= $0.1 + $0.5 + $2.5 - $0.3 = $2.8
Now for this we have to pay fixed cost $2
Thus, expected value of playing game = $2.8 - $2 = $0.8
Learn more about cost
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JUST NEEDDD A BIT OF HELPPP PLSS
Answers
Answer:
They are all true except for D
Step-by-step explanation:
What they are asking you to do, is take your rectangle and flip it over the top. QR would stay right where it is and line ST would now be on top and line QR would be the bottom. If you can picture that, you can see that all the statements would be true but D.
