2. What is the value of x? Show ALL of your work. Round your answer to the nearest tenth.
А
x cm
12 cm
B
6 cm

Answer:

0.444

Step-by-step explanation:

The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.

The tree diagram is attached in the image below:

The required probability can be computed as:

[tex]P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}[/tex]

[tex]P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\[/tex]

[tex]P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}[/tex]

[tex]\mathbf{P(high \ road \ | \ caught) = 0.444}[/tex]

The probability that he took the high road, given that he was caught is 0.444 and this can be determined by using the properties of probability.

Given :

The required probability is given by:

[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(Caught)}[/tex]

[tex]\rm P = \dfrac{P(High\;road\;and\;caught)}{P(High \;road \;and \;caught)+P(Low\; road\; and \;caught)}[/tex]

[tex]\rm P=\dfrac{0.8\times 0.01}{0.8\times 0.01 + 0.2\times 0.05}[/tex]

[tex]\rm P=\dfrac{0.008}{0.018}[/tex]

P = 0.444

The probability that he took the high road, given that he was caught is 0.444.

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

A river is ribbon like shape of water that flows downhill from the force of gravity. A body of water smaller than a river is often called a stream, creek, or pond.

A delta is a body of water that carries rushing water from rivers into lakes, oceans, etc.

Hope this helps!

Please mark brainliest!

Answer:

Solve the system of equations.

x+6y=-7

2x+12y=-14

x=1

y=12

Step-by-step explanation:

Answer:

∞ amount of solutions

Answer:

The required equation is:

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

Answer:

The dimensional analysis method uses equivalences written in fractional form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is 1. Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in the numerator and the denominator of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator

Answer

Domain= {-6, -4, 3, 6}

Range= {2, 4, 6}

Answer:

[tex]2x^2 + 2x[/tex]

Step-by-step explanation:

Multiply into the parentheses.

Simplify:

[tex]x(2x + 2)[/tex]

Answer:

$22.61

Step-by-step explanation:

m a t h

Answer:

$22.61 :)

Step-by-step explanation:

Step-by-step explanation:

A=l×b

=(2a+b)(3a+c)

=6a²+2ac+3ba+bc

hope it helps.

Answer:

6a^2+2ac+3ab+b^2

Step-by-step explanation:

Given

length=2a+b

breadth=3a+c

Now,

Area=?

We know,

Area=l*b

(2a+b)*(3a+c)

2a(3a+c)+b(3a+c)

6a^2+2ac+3ab+b^2

You can use formula (a+b)^2

a^2+2ab+b^2

Answer:

6a + 2

Step-by-step explanation:

a + 3a - 1 + 2a + 3

6a - 1 + 3

6a + 2

Answer:

3:6:4

Step-by-step explanation:

We are given that

Number of apples in the basket=12

Number of pears in the basket=24

Number of oranges in the basket=16

We have to find the ratio of apples, pears and oranges in the  basket.

[tex]12=4\times 3[/tex]

[tex]24=4\times 3\times 2[/tex]

[tex]16=4\times 2\times 2[/tex]

HCF (12,24,16)=4

Now, divide each number by HCF

Then, we get

3:6:4

Therefore, the ratio of apples, pears and oranges in the  basket.

3:6:4

Answer:

The answer is apple

Step-by-step explanation: If you break it out correctly, whenever the sky tastes like watermelon its a sign of the birth of apples.

Answer:

the answer is simply 14

Step-by-step explanation:

its ez dum baby brain

Answer:

B

Step-by-step explanation:

A- angela

C- charli

the answer is b becasue their total together is $109, but since charli went over her data limit she has to pay an extra $15 so, if they split the bill and add $15 dollars to bill that is the amount charli has to pay so therefore, its B  

c + a = 109

c = a + 15

Answer: A) y = 6x +3

Step-by-step explanation:

Let x represent the number of hours. $6 per hour can now be written as 6x.

Now, we must account for the $3 flat, fee and add it to 6x, getting 6x + 3

Answer:

20 is the answer

Step-by-step explanation:

From the question we can deduce the formula to be 16 + 3n = 76

3n - 76 - 16

3n = 60

n = 20

20 is the answer.

Answer:

6x14-12=72

Step-by-step explanation:

6x14=84

84-12=72

Answer:

9/16

Step-by-step explanation:

i took the test ;)

The surface area of the new cube is (27/8) times the surface area of the original cube

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the original cube have side length 's'.

The surface area of the original cube is given by 6s^2, since a cube has 6 equal square faces.

When the cube is dilated by a scale factor of 3/4, each side length of the new cube is 3/4 times the length of the corresponding side of the original cube. Therefore, the side length of the new cube is:

s' = (3/4) s

The surface area of the new cube is also given by 6 times the area of one of its faces, which is:

(3/4)s x (3/4)s = (9/16)s²

Therefore, the surface area of the new cube is 6 times (9/16)s^2, or:

6 x (9/16)s² = (27/8)s²

Hence , the surface area of the new cube is (27/8) times the surface area of the original cube

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ3

Answer and Step-by-step explanation:

The lines are parallel, so that means that some angles are congruent to each other.

On the other side of 80 degrees, it would be 100 degrees (180 - 80 = 100).

Using the interior angles theorem, this means that the angle in the triangle and 50 added up are equal to 100. So, the angle C is equal to 50.

Now, because of the triangle angles sum theorem, the angles have to add up to 180, so we do 180 - 80 - 50, which is 50 (for angle A).

So, since the two angles have 50 degrees, the triangle is an isosceles triangle.

Hope this helps! (That is the explanation btw)

#teamtrees #WAP (Water And Plant)

Answer:

180 ft^3

Step-by-step explanation:

volume=lwh

15 * 2* 6 = 180 ft^3

*change 24 inches to 2 feet*

Answer:

180 ft³

Step-by-step explanation:

To find the volume of a right rectangular prism, the equation is length x width x height. So, you would do 2 x 6 x 15, because 24 inches is 2 feet and the rest is given. And so, 2 x 6 x 15 = 180, so your answer is 180 ft³.

(hope this helps :P)

Answer:

8482.3 inches

Step-by-step explanation:

You have to find the circumference of the wheel.

If the radius is 13.5, the diameter is 27 (13.5 x 2).

C = πd

C = π × 27

C = 27π

100 rotations means 27π × 100 = 2700π

= 8482.3 inches

Answer:

8478

Step-by-step explanation:

13.5x2xπ=84.78

84.78x100=8478

Answer:

the shortest distance is the distance from a point to a line that make 90° .

so AC is the shortest distance.

d^2=(-3-1)^2 + (-3--1)^2

=(-4)^2 + (-2)^2

=16 + 4

=20

d=√20

this is the distance between point A and point C.

Answer:

$8573.75

Step-by-step explanation:

The value of the car as a function of the number of years (t) is

V = $10,000(1.00-0.05)^t

which, after 3 years, comes to V = $10,000(1.00-0.05)^3 = $8573.75

Answer:

Option 3

Step-by-step explanation:

Answer:

12 candy bars

Step-by-step explanation:

10-1=9 9 divided by 0.75 is 12

Answer:he can buy 13 candy bars with the entire ten

Step-by-step explanation: 0.75x10 equals 9.75 and 0.75x14 equals 10.5

Answer:

X = 3

Step-by-step explanation:

18 - 3 = 15

5x = 15

divide both sides by 5

X = 3

Answer:

[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]

Answer:

5

65

Step-by-step explanation:

+1

+10