If y varies directly as x, and y = 15 when x = 10, then what
is y when x = 6

Answer:

The expected value is $2.1

Step-by-step explanation:

If we have an event with some given outcomes:

x₁, x₂, ..., xₙ

Such that each one of these outcomes has the correspondent probability:

p₁, p₂, ..., pₙ

The expected value is:

EV = p₁*x₁ + ... + pₙ*xₙ

In this case we have a table with the events (the payouts) and the probability for each one, so we have:

x₁ = $0

p₁ = 0.5

x₂ = $2

p₂ = 0.2

x₃ = $4

p₃ = 0.15

x₄ = $6

p₄ = 0.1

x₅ = $10

p₅ = 0.05

Now we can just replace these in the expected value equation, so we get:

EV = $0*0.5 + $2*0.2 + $4*0.15 + $6*0.1 + $10*0.05 = $2.1

The horizontal distance required for the ramp is 143.5 inches

Consider the following figure.

In right triangle ACB, CB is the horizontal distance,

hypotenuse AB = 144 in.

and the vertical distance AC = 12 in.

We need to find the measure of side CB

Let m be the measure of the horizontal distance CB

Using Pythagoras theorem for right triangle ACB,

(AB)² = (AC)² + (CB)²

Substitute given values in above equation.

(144)² = (12)² + (m)²

20736 = 144 + m^2

20736 - 144 = 144 + m^2 - 144

20592 = m^2

m^2 = 20592

m = 143.5 in.

Therefore,  the horizontal distance is 143.5 in.

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On solving the provided question, we can say that - the linear equation y = 7x - 17 at x= 0; y = -17 and m = -17

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y = 7x - 17

at x= 0

y = -17

and m = -17

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Answer:

a = 1.5

VW = 9 ft

Step-by-step explanation:

Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:

a + 4 = a² + 0.25                            Set equal

a² - a = 3.75                                    Isolate a values

a² - a + 0.25 = 3.75 + 0.25            Complete the square

(a + 0.5)² = 4                                  Factor

a + 0.5 = 2                                     Simplify

a = 1.5

Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:

((1.5) + 7.5) ft

9 ft

Answer:

(6,2)

Step-by-step explanation:

Combine them

Answer:

Step-by-step explanation:

A system of equations is a set of two or more equations that represent a relationship between two or more variables. A solution of this system is an ordered pair that satisfies each equation in the system. Finding the set of all solutions is called solving the system of equations. Solving a system of equations by graphing is exactly what the name implies – graph both equations, and their point(s) of intersection is the solution. A system of linear equations only have one solution because each equation is a straight line, they will only have one point of intersection (unless, of course, they are the same line).

THE TWO LINES WOULD INTERSECT (6, 2). BECAUSE THE SOLUTION IS THE INTERSECTION..

Answer:

6:4

This ratio means that for every 6 basketballs there are 4 soccer balls.

Answer:

skewed left

Step-by-step explanation:

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.

Step-by-step explanation:

Answer:-14°F

Step-by-step explanation:

-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it

Answer:

The height of the smaller cone is 19.52 cm

Step-by-step explanation:

Given that,

The volume of cone 1, V₁ = 3970 cm³

The volume of cone 2, V₂ = 3100 cm³

The height of the larger cone, h₁ = 25 cm

We need to find the height of the smaller cone. Let it is h₂. For similar cones,

[tex]\dfrac{V_1}{V_2}=\dfrac{h_1}{h_2}[/tex]

Put values,

[tex]h_2=\dfrac{h_1V_2}{V_1}\\\\h_2=\dfrac{25\times 3100}{3970}\\h_2=19.52\ cm[/tex]

So, the height of the smaller cone is 19.52 cm.

Answer:

( 0 , -5 )

Step-by-step explanation:

The coordinates of the focus of the parabola is at (0, -5)

The standard formula of a parabola is given as:

y² = 4ax

Given a parabola represented by the equation x² = -20y

The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.

Comparing with the given equation, the focus will be at (0, -5)

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9514 1404 393

Answer:

Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

__

You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

__

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

Answer:

C. Area

hope this helped

Answer:

130

Step-by-step explanation:

180-70=110

110+20=130

Answer:

3

Step-by-step explanation:

Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.

LQ and SR are corresponding segments, so set up two ratios.

[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]

Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).

[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]

Now put in 4 for x in the expression for LQ.

[tex]LQ=x-1=4-1=3[/tex]

Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

Answer:

x+-3/4

Step-by-step explanation:

-2/3(2)+x+7/3/4

=-4/3+(4/3+7/12)

x+-3/4

Answer:   [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]

Explanation:

Swap x and y, then solve for y to get the inverse.

[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]

Answer:

In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.

Step-by-step explanation:

The predicted winning time in year 10 of the race is 2.83 minutes.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

Given:

From the scatter plot, the points are given as follows:

(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).

Inserting these points into the linear regression calculator, we get

y = -0.29x + 5.67.

Now, for x= 10 year

y = -0.29(10) + 5.67 = 2.77 minutes.

which is closest to 2.83 minutes.

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Answer:

7

Step-by-step explanation:

Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!

Answer:

12x-6

Step-by-step explanation:

Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

The common ratio is 4

Step-by-step explanation:

How?

Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...

Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.

(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)

You are very welcome and good luck :)

Answer:

Step-by-step explanation:

SQR-PRQ-SRP

SP/RP=RP/PQ

QP/QR=RQ/SQ

Answer:

El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.

Respuesta:

De largo mide 16m

De ancho mide 8m

Explicación paso a paso:

Perímetro = número de lados multiplicado por longitud del lado.

Formula: P = 2(a + b)  o    P = 2b + 2h

Donde: P = Rectángulo del perímetro

           a y b = Longitudes de lados

Asignamos las variables:

Largo = 2x

Ancho = x

Utilizamos la formula:

2(x) + 2(2x) = 48

2x + 4x = 48

6x = 48

x = 48/6

x = 8m  (ancho)

2x

2(8)

16m (largo)

Step-by-step explanation: