which of the following is a fair gamble? question 2 options: one coin toss: win $10 if heads, lose $10 if tails. two coin tosses: win $10 if two heads, lose $10 if two tails, no change of wealth otherwise. a game in which you win $100 with probability 50%, lose $200 with probability 25%, and gain nothing with probability 25%. all of the above are fair gambles.

The value of x is 15 and the value of y is 4 for the given triangle.

According to the question,

We have the following information:

We have a figure of triangle and a line parallel to the base is drawn. Some measurements of the sides are given.

Now, to find the values of x and y, we will use Basic Proportionality theorem which states that the ratio of the corresponding sides are equal.

For the larger triangle, we have:

12/y = 18/6

Using the cross multiplication method:

y = 12*6/18

y = 4

Now, using the same theorem for the smaller triangle:

12/y = x/5

12/4 = x/5

Using the cross multiplication method:

x = 15

Hence, the value of x is 15 and the value of y is 4 for the given triangle.

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Proved that ΔABC ≅ ΔDEC

SAS rule of congruent states that if two sides and one angle of the triangle is equal to the two sides and one angle of the another triangle, then the both triangles are congruent

The line BE and AD intersect at point C

The measure of the angle BCA = The measure of the angle ECD

The length of the side BC = The length of the side EC

The length of the side AC = The length of the side DC

Consider the triangle ABC and triangle DEC

Two sides and one angle of the triangle ABC is equal to the two sides and one angle of the triangle DEC, according to SAS rule of congruent the triangle ABC and triangle DEC are congruent

Hence, proved that ΔABC ≅ ΔDEC

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Answer: <1=104 degrees, <2=76 degrees, <4=104 degrees, <5=104 degrees, <6= 76 degrees, <7= 76 degrees, <8= 104 degrees

Step-by-step explanation:

<76 & < 2 are vertical angles, which means they are congruent. <1 & <2 are supplements, meaning when you add them up they equal 180 degrees (180-76=104 degrees). <1 & <4 are vertical angles. Using the Alternating Exterior Angles Theorem (AIA), <2 & <7 are congurent. Using the same theorem, <1 & < 8 are congruent. <7 & <5 are supplements, and so is <8 & <6.

If the team buys 18 jerseys for a total of (18x-36) dollars then we can conclude that the discount the team has received is $36.

According to the question,

We have the following information:

A soccer team receives a discount on each jersey purchased. The original price of each jersey is x dollars. The team buys 18 jerseys for a total of (18x-36) dollars.

Now, the original price of 18 jerseys will be 18x.

Now, when 36 is subtracted from 18x to find the total cost then it means that this is the discount from the original price.

Hence, if the team buys 18 jerseys for a total of (18x-36) dollars then we can conclude that the discount the team has received is $36.

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The graph of this quadratic function (x² + 3x - 108) is shown in the image attached below. Also, the two roots of this quadratic equation (x² + 3x - 108) are -12 and 9, while the axis of symmetry (vertex) is equal to -1.5.

In Mathematics, a quadratic function is a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph.

Mathematically, the graph of every quadratic functions is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function would always form a parabolic curve. For this quadratic function, the graph is a upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero.

Next, we would determine the axis of symmetry (vertex) of this quadratic function:

Axis of symmetry (vertex), Xmax = -b/2a

Axis of symmetry (vertex), Xmax = -3/2(1)

Axis of symmetry (vertex), Xmax = -1.5.

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Answer:

10.7

Step-by-step explanation:

The only thing I can think of is 10.7. Because when you do this problem you get 10.6666666667. So I'm assuming you're to round it. There is no other way to solve the problem that wouldn't get you either 10.6666666667 or 10.7.

Answer:

10.66

Step-by-step explanation:

[tex]\frac{24}{9}[/tex] + [tex]\frac{8}{1}[/tex]

[tex]\frac{24}{9}[/tex] + [tex]\frac{72}{9}[/tex]

[tex]\frac{96}{9}[/tex]

10.666...

In the given circle the length of the chord marked x is

We know that the length of the chord is bisected by the perpendicular from the center of the circle.

Therefore the length of the chord is 7 × 2 = 14 units.

Again from the chord properties of a circle we know that, chords that are equidistant from the center are equal.

Since both the chords are at a distance of 9 units hence both chord lengths

Hence the length of the other chord = 14 units.

∴ x = 14

The segment of a line that joins any two points on a circle's circumference is known as the chord. It must be emphasized that its longest chord is its diameter, which runs through the center of the circle.

The circle and its chord are depicted in the diagram below. In the center of the circle, equal-length chords subtend equal angles.

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Answer:

[tex]\sf n=\cfrac{1}{2}[/tex]

Step-by-step explanation:

[tex]\sf -12=10n-40n+3[/tex]

[tex]\sf 10n-40n+3=-12[/tex]

Combine like terms:-

[tex]\sf \:(10n-40n)=-30n[/tex]

[tex]\sf -30n+3=-12[/tex]

Subtract 3 from both sides:-

[tex]\sf -30n+3-3=-12-3[/tex]

Simplify:-

[tex]\sf -30n=-15[/tex]

Divide both sides by -30:-

[tex]\sf \cfrac{-30n}{-30}=\cfrac{-15}{-30}[/tex]

Simplify:-

[tex]\sf n=\cfrac{1}{2}[/tex]

_________________

Hope this helps!

Have a great day! :)

The slope of the line as shown in the diagram is 4/3.

The slope of a line is the ratio of the amount that y increases as x increases some amount.

To calculate the slope from the diagram, we use the formula below.

Formula:

Where:

From the graph,

At  x = 30, y = 20

And at x = 60, y = 60

Therefore,

Substitute these values into equation 1

Hence, the slope of the is 4/3.

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Answer:answer is 20

Step-by-step explanation:9/3=3 then add that to 2 times 6 which is 12+3=15 then 15+5+20

Step-by-step explanation:

120 ft relate to 24 inches.

120/80 must be the same ratio as 24/model width.

120/80 = 3/2

so,

24/width = 3/2

48/width = 3

48 = 3width

width = 48/3 = 16 inches

Answer:

2(2x+9)

Step-by-step explanation:

Just break each number up

2 X 2 = 4

2 X 9 = 18

2(2x+9)

Answer:

-4.5

......

......

Estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.

As given in the question,

Given expression is equal to :

( -25.31 ) ( 9.61 )

Compatible numbers to calculate the estimate product we have,

Compatible number for ( -25.31 ) is equal to ( -25 ) .

-25 > -25.31 > -26

-25.31 is more nearer to -25 .

Now, 9 < 9.61 < 10

Compatible number for 9.61 is equal to 10 as 9.61 is more close to 10.

( -25.31 ) × ( 9.61 )

= ( -25 ) × (10)

= 250

Therefore, estimate product of (-25.31) (9.61) using compatible numbers is equal to -250.

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The statement that describes the account growth is D. The account is growing exponentially at an annual interest rate of 2.00%.

From the information, the table shows the balance of an investment account at the beginning of each year the account was held.

The percentage change for the second year will be:

= (510 - 500) / 500 × 100

= 10/500 × 100

= 2%

The percentage change for the third year will be:

= (520.20 - 510) / 510 × 100

= 10.20/510 × 100

= 2%

Therefore, there's. 2% growth.

The correct option is D.

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Answer:

D

Step-by-step explanation:

Step-by-step explanation:

I suspect you mean

11³ × 11 = ?

11³ ÷ 11 = ?

11³ × 11 = 11⁴

11³ ÷ 11 = 11²

why ?

11³ = 11×11×11

11³ × 11 = 11×11×11 × 11 = 11×11×11×11 = 11⁴

11³ ÷ 11 = 11×11×11 / 11 = 11×11 × 1 = 11×11 = 11²

The slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

The slope of a line is a measure of its steepness.

Given that, a line segment has end points = A(-1,4) and B(3,2)

(i) Slope = (y2 - y1)/(x2 - x1) = -1/2

(ii) Coordinates of the midpoint of a line = (Xm, Ym) = (x₁ + x₂)/2, (y₁ + y₂)/2

(Xm, Ym) = (-1+3)/2, (4+2)/2 = (1,3)

(iii) The slope of the two lines perpendicular to each other are negative reciprocal of each other, so, slope of the line perpendicular to the given line is = 2

Standard equation of a line = y = mx + c

Since the line is the perpendicular bisector of AB, it will pass through (1,3)

Solving for c,

3 = 2*1 + c

c = 1

Therefore, the equation of the of line perpendicular to AB is

y = 2x + 1

Hence, the slope of the line is -1/2, the coordinates of midpoint is (1,3) and the equation of perpendicular bisector is y = 2x + 1

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Answer:

Rema receives 90 sweets

Step-by-step explanation:

See attached image

Answer:

0.83 repeating 3

Step-by-step explanation:

5 goes in the box and 6 goes outside. you can't put 6 into 5 so you would put a 0 on the top and a decimal point. now you would write a 0 next to the 5 and you would do 6×8=48 and so put 8 next to the 0 and the decimal point. then subtract 50-48 which will be 2. Put another 0 next to the 50 and bring it down. you will have 20 which you do 6×3=18. and so put a 3 next to 0.8 and you will subtract 20-18=2. It will be repeating so put a line at the top of 3 to show that it's repeating.

Answer:

here you go....

Step-by-step explanation:

The number of hours that helena need to work to generate 165 dollars is

33 hours.

Helena has to work hours to earn $165. 33

Algebraic equations are equations with

unknown variables. The alphabet letters are used to represent algebraic equations.

Total $33.00 in her 6 hours she worked.

This question should find out how long it takes her to earn her $165.00 in that job.

let x hours be required work hours to earn $165.00 ..

This can be expressed in algebraic equations as:

x= 6× 165/33

x= 990/33

x= 30

Hence, helna have to work thirty hours to earn $165.00 ..

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The polynomial function p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 value at x = -2 is -1

given that

polynomial function p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 at x=-2

To find the value of a function at x = -2, put in all the places of  in the function.

Polynomial is made up of two words, poly, and nomial. "Poly" means many, and "nomial" means the term, and hence when they are combined, we can say that polynomials are "algebraic expressions with many terms".

Polynomial functions are expressions that may contain variables of varying degrees, coefficients, positive exponents, and constants.

Here,

p(x) = 5[tex]x^{3}[/tex] +8[tex]x^{2}[/tex] - 3x +1 put x =-2

p(-2) = 5[tex](-2)^{3}[/tex]+8[tex](-2)^{2}[/tex] - 3(-2)+1

p(-2) = 5(-8) + 8(4) + 6+1

p(-2) = -40+32+6+1

p(-2) = -40+39

p(-2)  =-1

At So, the value of the function at x= -2 is -1

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The simplified terms are 12.504 and 17.76 when the terms are in decimal.

Given that,

The numbers are 13.4-0.896 and 8.6 + 9.16

We have to simplify the terms.

We know that,

When a full number and a fraction are combined, decimals are used. The "." symbol, often known as a decimal point, will be used to demarcate the entire number from the fraction in this instance.

Take the numbers,

13.4-0.896

Subtracting the terms

12.504

Take the numbers,

8.6 + 9.16

Adding the terms

17.76

Therefore, The simplified terms are 12.504 and 17.76 when the terms are in decimal.

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Answer:

q = 4

Step-by-step explanation:

Step 1: Set up the equation

Step 2: Solve for q

If Emily's family loves to work together in the garden . The number of vegetable plants they have is :20.

Using this formula to determine the number of vegetable plants

Number of vegetable plants = Percentage of vegetable plants  × Number of plants

Let plug in the formula

Number of vegetable plants = 40% × 50

Number of vegetable plants = 20

Therefore we can conclude that  the number of vegetable plants is 20.

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The correct question is :

Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60 percent of their plants are flowers and 40 percent are vegetables. They have 50 plants growing in the garden.

How many vegetable plants do they have?

Answer:

y = - [tex]\frac{3}{4}[/tex] x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 12, 4 ) and (x₂, y₂ ) = (0, - 5 ) ← coordinates of 2 end stars

m = [tex]\frac{-5-4}{0-(-12)}[/tex] = [tex]\frac{-9}{0+12}[/tex] = [tex]\frac{-9}{12}[/tex] = - [tex]\frac{3}{4}[/tex]

the lowest star is on the y- axis at (0, - 5 ) ⇒ c = - 5

y = - [tex]\frac{3}{4}[/tex] x - 5

The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

What is Co-ordinate Geometry?

Coordinate geometry is a field of mathematics that assists in displaying geometric forms on a two-dimensional plane and learning the attributes of these figures.

Solution:

The co-ordinates of J'K'L'M'N' are (0,5), (-2,3), (-3,4), (-4,1), (-1,2)

From the figure it can be clearly observed that

a) L' is located at (-3,4) - True

b) M' is located 4 units left of the y - axis - True

c) The y - co ordinate of zN' is the opposite of the y - co ordinate of N - False

d) J'K' = JK - False

e) M' is located at (-4,1) - True

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Answer:

49

Step-by-step explanation:

18/42=21/ED

18 ED=882

ED=49

Answer: Give me brainliest or your mean.

Step-by-step explanation: 1/3 jersey 1/2 short. 1/3 x 1/2 = 1/6 possibility.

The value of x and y in the vector matrix are 2 and 5

If a matrix has only one row or only one column it is called a vector.

A matrix having only one row is called a row vector.

A matrix having only one column is called a column vector.

The matrix for two equations

3 - x/4 = 5/2 ---------------------1

8 - 12/4 = y ----------------------2

From equation 1,

collect like terms

x/4 = 3-5/2

x/4 = 1/2

cross multiply

2x = 4

x = 4/2

x = 2

From equation 2,

8 - 3 = y

y = 5

In conclusion, the value of x = 2 and the value of y = 5

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