Students were required to go to the parking lot and select random cars or trucks, with replacement. The purpose was to gather the license plate from exactly 2 Toyota trucks. (For simplicity purposes, let's assume that there were only cars or trucks. In addition, the make of all cars and trucks were either Toyota and Honda.) The students had a further restriction of NOT being allowed to examine more than 3 automobiles to get the required data. What is the likelihood that a student would be successful in finding two Toyota trucks? The following probabilities represent the makes and models in the parking lot on that day: P(Car) = 0.743, P(Toyota | Car) = 0.431, and P(Honda | Truck) = 0.693.

Answer:

D) 41.81 degrees

Step-by-step explanation:

In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).

We need to select which trigonometric identity to use with the acronym SOHCAHTOA:

SOH -> sine=opposite/hypotenuse

CAH -> cosine=adjacent/hypotenuse

TOA -> tangent=opposite/adjacent

Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.

Set up an equation based on the information you have:

sin(A)=12/18

Now take the inverse:

sin^-1(sin(A))=sin^-1(12/18)

A=41.8103149

So the best option is answer D) 41.81 degrees

Answer:

y = -0.25x + 4.5

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Answer:

x=0.61933

Step-by-step explanation:

Let’s solve your equation step by step.

Step 1: Multiply both sides by x.

x

2

=

−

8

x

3

−

6

x

+

6

x

2

−

(

−

8

x

3

−

6

x

+

6

)

=

−

8

x

3

−

6

x

+

6

−

(

−

8

x

3

−

6

x

+

6

)

(Subtract -8x^3-6x+6 from both sides)

8

x

3

+

x

2

+

6

x

−

6

=

0

(Use cubic formula)

x

=

0.61933

Check answers. (Plug them in to make sure they work.)

Answer:

x = 4

Step-by-step explanation:

1/2 x 4 = 2 + 4 = 6

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/2x + 4 = 6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 6 does indeed equal 6.

∴ x = 4 is the solution to the equation.

Answer:

[tex]1-25[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

golly gee this is hard... um take the one put it in the box..? maybe 7?

Hi there!

[tex]\large\boxed{\text{No, it does not.}}[/tex]

[tex]y = \frac{x^{2} }{x-1}[/tex]

Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).

The interval given also includes x = 1 as an enclosed value.

Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].

Answer:

(1,0) (5,0)

Step-by-step explanation:

roots of a parabola are the x intercepts

Answer:

maths

Step-by-step explanation:

Answer:

2?

Step-by-step explanation:

maybe 2 is in between 1 and 3

9514 1404 393

Answer:

  ≈ 0.0007106955794750354

Step-by-step explanation:

(xz)/(xy) = z/y = 6469922591720 / 9103648282854233

  ≈ 0.0007106955794750354 . . . . rounded to 16 significant figures

__

The result will be a repeating decimal fraction with a very long repeat. It may be longer than 70 billion digits.

The compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Ted lives between 128m and 135m above sea level.​

Now it is given that,

Sakura's house is at an elevation between 113 m and 120 m above sea level.

Let x be the elevation of Sakura's house.

So, 120 > x > 113

Now Ted lives about 15 m below her

Ted's  house elevation = x - 15

So, the compound inequality to describe the elevation of Ted's house,

120 > x - 15 > 113

Adding 15 to the inequality we get,

120 + 15 > x - 15 + 15 > 113 + 15

Solving we get,

135 > x > 128

This is the required compound inequality.

Thus, the compound inequality to describe the elevation of Ted's house is 135 > x > 128.

Learn more about inequality here:

https://brainly.com/question/11613554

#SPJ1

Answer:

HIG and EFD

Step-by-step explanation:

simmlar tryangles

Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

Parallel

Step-by-step explanation:

They're Parallel because whenever you graph them you see they never touch.

Answer:

-1/2

Step-by-step explanation:

Answer:

This

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

-1

= -2

θ =  

arctan( ΔY ) + 180°

ΔX

= 116.56505117708°

ΔX = -3 – 0 = -3

ΔY = 0 – -6 = 6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Equation of the line:

y = -2x – 6

When x=0, y = -6

When y=0, x = -3

Answer:

4+2/3-1 = 3

Step-by-step explanation:

hopefully it helped

Answer:

  A. decreasing 12% per month

  B. fuel A recorded the greater change

Step-by-step explanation:

Given an equation and a table of values, you want to compare the rates of change each represents.

The fuel price is described by ...

  f(x) = 2.27(0.88^x)

We recognize this exponential equation to be of the form ...

  f(x) = (initial value) × (growth factor)^x

Comparing parts of the equation, we see ...

  growth factor = 0.88

The relation between growth factor and growth rate is ...

  growth factor = 1 + growth rate

  growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%

This tells us the rate of change in fuel price is -12% per month.

To find the percentage change, we can use the formula ...

  percent change = ((new value) / (old value) -1) × 100%

Applied to the first two table values, we have ...

  percent change = (3.30/3.44 -1) × 100% ≈ -4.07%

This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.

Answer:

D

Step-by-step explanation:

Answer:

To be honest it has to be d

Step-by-step explanation:

Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.

A) X is the number of hours, and 15, or b is the tip

B) y= 30x + 15.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

According to the given question.

We have a function g(x) = 7x^2 + 8x^3.

And a interval [-3, 4].

As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.

To calculate the average rate of change between the 2 points we use the formula

f(b) - f(a)/ b - a

Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by

[7(4)^2 + 8(4)^3  - 7(-3)^(2) - 8(-3)^3]/4 + 3

= [112 + 512 - 63 + 216]/7

= 777/7

= 111

Hence,  the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

Find out more information about average rate of change here:

https://brainly.com/question/13235160

#SPJ1

Answer:

$940

Step-by-step explanation:

4700/0.2 = 940

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Answer: 125$

Step-by-step explanation:

Answer:

√40 is answer

Step-by-step explanation:

distance between 2points =√(x2-x1)²+ (y2-y1)

=√(2+4)²+(-1+3)²

=√62+22

=√36+4

mark as brainlist

=√40

Answer:

5/4?

Step-by-step explanation:

Answer:

3/5 = 12/20

Step-by-step explanation:

5 x 4 = 20 so mulyiply 3 x 4 to get 12