In the fraction 7/8, the numerator denominator is 7.

the youngest of them is 42

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Expected winning of professor Duque = -$4.8

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Total no of participation = 500

The prize winner will be decided at random.

Number of favorable outcomes divided by the total number of outcomes gives Duque a chance of winning the reward.

Out of the 500 competitors, only one will be the winner.

Duque's chances of winning the prize are 1 in 500, or 0.002.

If a person wins, they will receive $100 as their prize.

The price of a ticket is $5.

Thus, the net amount prize pool is $100 - $5 = $95 total.

Participants 499  will not be successful.

Probability of losing is 499/500, which is 0.998.

Loss from losing = - $5 (negative sign represents loss).

For discrete random variable X:

E(X) = ∑[tex]_{i=0}^{n} x_{i}*p(x_{i})[/tex]

E(X) = [tex]x_{1}*p(x_{1})+x_{2}*p(x_{2})\\[/tex]

Given,

[tex]x_{1}=[/tex]$95 and [tex]p(x_{1})[/tex]=1/500

[tex]x_{2}[/tex]= -$5 and [tex]p(x_{2})\\[/tex] = 499/500

[tex]E(X)=(95*\frac{1}{500})+(-5*\frac{499}{500}) \\= -4.8\\[/tex]

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Answer:

Step-by-step explanation:Last pair of triangles represent congruence.

Step-by-step explanation:

If , it can be deducted the following:

Also,

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

Answer:

D

Step-by-step explanation:

I am doing the test

Answer:

Your answer is D

Step-by-step explanation:

Let's solve your system by substitution.

y−2x=3;3x−2y=5

Rewrite equations:

−2x+y=3;3x−2y=5

Step: Solve−2x+y=3for y:

−2x+y=3

−2x+y+2x=3+2x(Add 2x to both sides)

y=2x+3

Step: Substitute2x+3foryin3x−2y=5:

3x−2y=5

3x−2(2x+3)=5

−x−6=5(Simplify both sides of the equation)

−x−6+6=5+6(Add 6 to both sides)

−x=11

−x

−1

=

11

−1

(Divide both sides by -1)

x=−11

Step: Substitute−11forxiny=2x+3:

y=2x+3

y=(2)(−11)+3

y=−19(Simplify both sides of the equation)

Answer:

x=−11 and y=−19

Answer:

3x-6y=6

y=x+8

3x - 6(x+8) = 6

3x - 6x - 48 = 6

-3x - 48 = 6 / +48

-3x = 54 // -3

x = - 18

y = -18 +8 = 10

Step-by-step explanation:

Answer: B is the answer

Step-by-step explanation:

The answer for A) is x=-9/10

The answer for B) is no solution

The answer for C) is x=0

The answer for D) is =-8x

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

[tex]x= \frac{y}{m} + b [/tex]

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

Answer:

[tex]\frac{11}{5}[/tex]

Step-by-step explanation:

1. isolate x by adding 7 to the other side (7+4)

5x - 7 = 4

5x = 11

2. divide by 5 to get x alone

x = 11/5

Answer:

Step-by-step explanation:

5x - 7 = 4

5x=4+7

5x=11

x=11/5

x=2.2

Answer:

I think it's 83

Step-by-step explanation:

Teacher explanation I still don't understand

Answer:

Patrick from spongebob? He dosent do work

Step-by-step explanation:

9514 1404 393

Answer:

  UW = 24

Step-by-step explanation:

Midsegment XY is half the length of base UW, so we can write ...

  UW = 2·XY

  73 -7x = 2(54 -6x) . . . . substitute the given expressions

  73 -7x = 108 -12x . . . . . eliminate parentheses

  5x = 35 . . . . . . . . . . . . . add 12x-73

  x = 7 . . . . . . . . . . . . . . . divide by 5

Now, we can find UW:

  UW = 73 -7x = 73 -7·7

  UW = 24

Answer:

A. x = 3, y = 2

Step-by-step explanation:

The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.

Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.

Therefore:

x = y + 1 ----› eqn. 1

2x + 3 = 3y + 3 ----› eqn. 2

Substitute x = (y + 1) into eqn. 2, and solve for y.

2x + 3 = 3y + 3 ----› eqn. 2

2(y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3

2y + 5 = 3y + 3

Collect like terms

2y - 3y = -5 + 3

-y = -2

Divide both sides by -1

y = 2

Substitute y = 2 into eqn. 1.

x = y + 1 ----› eqn. 1

x = 2 + 1

x = 3

Using a linear function, the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the cost for r rides is given by the following linear function:

C(r) = 15 + 4r.

The cost for 7 rides is given by:

C(7) = 15 + 4(7) = 15 + 28 = $43.

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Answer:

madarchod

Step-by-step explanation:

randi bhosdike

Answer:

Mark is 12 years old.

Step-by-step explanation:

Let's just define some variables:

J = Jason

A = Alex

M = Mark

Next, let's put the information given in the question into equations.

Since Jason is 10 years older than Alex we can represent it like this:

J = A + 10

Since Mark is 11 years younger than Alex we can represent it like this:

M = A - 11

All of their ages add up to 68 so we can represent that like this:

J + A + M = 68

We can now do some substitutions to the J and M in this equation, like this:

(A + 10) + A + (A - 11) = 68

Combine like terms:

3A - 1 = 68

Solve for A

3A = 69

A = 23

Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:

J = 23 + 10

J = 33

M = 23 - 11

M = 12

Mark is the youngest out of the siblings being 12 years old.

Check:

23 + 33 + 12 = 68

68 = 68 :)

I hope this helps!!

- Kay :)

Answer:

Graph A

Step-by-step explanation:

Answer:

its graph A

Step-by-step explanation:

Answer:bc

Step-by-step explanation:

Answer:

The inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Step-by-step explanation:

[tex]f(x)=8x+10[/tex]

We need to find inverse of the function.

For finding inverse of function,

let [tex]y=8x+10[/tex]

Now, solving to find value of x

Subtracting 10 on both sides

[tex]y-10=8x+10-10\\y-10=8x[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{y-10}{8} \\x=\frac{y-10}{8}[/tex]

Now replace y with x and x with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{x-10}{8}[/tex]

So, the inverse of [tex]f(x)=8x+10[/tex] is [tex]\mathbf{f^{-1}(x)=\frac{x-10}{8}}[/tex]

Answer:

The answer is [tex]f^(-1)(x)= (x^(2) - 10)/(8), x > =0[/tex]

Answer:

L= 18 in

W= 8 in

Step-by-step explanation:

Step one:

The length of a rectangle is 10 inches longer than its width

let the width be x

so the lenght is x+10

the area of the rectangle is 144 square inches

Step two:

[tex]Area= L*W\\\\144=x(x+10)\\\\144=x^2+10x\\\\x^2+10x-144=0[/tex]

the factors for the quadratic expression is

18 and -8

[tex]x^2+18x-8x-144=0\\\\x(x+18)-8(x+18)=0\\\\x-8=0\\\\x=8\\\\x+18=0\\\\x=-18[/tex]

the width is 8 in

the length is 8+10= 18 in

From the equation, the length is 18 inches and the width is 8 inches.

Let width = w

Since the length of a rectangle is 10 inches longer than its width, the length will be w+10.

Area = 144 inches²

Area = Length × Width

w(w + 10) = 144

w² + 10w = 144

w² + 18w - 8w - 144 = 0

w(w + 18) - 8(w + 18) = 0

(w - 8) = 0

w = 0 + 8 = 8

Length = w + 10 = 8 + 10 = 18

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Answer:

Car Wash: $43.75   and   Garage Sale: $87.5

Answer:

Step-by-step explanation:

Answer:

It is 300 + 10 + 1.

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

just divide 3/11

Answer:

See the attached image.

Step-by-step explanation:

Remember the equation of the line is y = mx + b.

m = 3/2 (slope) ... rise/run. up 3 over 2.

b = -5 (y-intercept)

*These lines go on forever.

The graph of the line y = (3/2)x - 5 is given below.

Given that:

Equation of the line is y = (3/2)x - 5

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

Convert the equation into intercept form, then we have

y = (3/2)x - 5

(3/2)x - y = 5

x / 3.33 + y / (-5) = 1

The graph of the line is given below.

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Answer:

C) (1.8, -1.6)

Step-by-step explanation: