Fixed Object Involved in Collision Number of Collisions Pole/post 1,416 Culvert/curb/ditch 2,516 Shrubbery/tree 2,585 Guardrail 896 Embankment 947 Bridge 231 Other/unknown 1,835 Assume that a collision will be randomly chosen from this population. Round your answers to four decimal places. a. What is the probability of a fatal collision with a pole or post

Answer:

0.6 or 3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{5} -2\frac{3}{5} \\\\\frac{16}{5} -\frac{13}{5} \\\\\frac{3}{5}[/tex]

Answer:

[tex]3(10a + 13b)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

GCF = 3

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]3( \frac{30a}{3} + \frac{39b}{3} )[/tex]

3) Simplify.

[tex]3(10a + 13b)[/tex]

Therefor, the answer is 3 ( 10a + 13b)

I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)

Answer:

35 in.

Step-by-step explanation:

Answer:

The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.

Step-by-step explanation:

The given values are:

Period,

B = [tex]\frac{5 \pi}{6}[/tex]

  = [tex]\frac{12}{5}[/tex]

Amplitude,

A = 6

Vertical translation down,

D = -5

As we know,

The equation of cosine function will be:

⇒  [tex]y=A \ Cos(Bx)+D[/tex]

On substituting the values in the above equation, we get

⇒  [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]

⇒  [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]

Answer:

Step-by-step explanation:

Answer:

Its A) 2 units

Step-by-step explanation:

Given:

[tex]\cot \theta = -2[/tex]

To find:

The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].

Solution:

We know that,

[tex]\cot (\theta -n\pi)=\cot \theta[/tex]         ...(i)

Where n is an integer.

We have,

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]

Using (i), it can be written as

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]

It is given that [tex]\cot \theta = -2[/tex].

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]

[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]

Therefore, the value of the given function expression is [tex]-6[/tex].

Answer:

C,

Step-by-step explanation:

:)

Answer:

x=4

Step-by-step explanation:

The left and right sides are equal so:

5x-2 + 4x = 7x-4 + x+6

Collect the like terms and calculate the sum :

9x-2 = 8x+2

Move terms and change it's sign:

9x-8x = 2+2

And finally:

x=4

Also if you solve the equations of the other sides you'll find x₁=0.5 and x₂=4

which the intersection with the previous answer will be x=4

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

Answer:

8

Step-by-step explanation:

Answer:

$27.31 (rounded to the nearest cent)

Answer:

C. Supplementary angles

Step-by-step explanation:

because they add up to 180°

Answer:

Supplementary angles

Step-by-step explanation:

Supplementary angles b/c the 2 angles would have to equal 180

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

Answer:

x = -12/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/3x = -4/5

Step 2: Solve for x

Answer:

its the figure on the top left, so A

brainliest pls! :D

Answer: the third one

Step-by-step explanation:

i took the quiz on k12

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

Answer:

314.00

Step-by-step explanation:

Answer:

15.70

Step-by-step explanation:

A=r^2

Answer: 5x^2 - 3x + 9

Step-by-step explanation:

Answer:

5x^2 - 3x + 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

18x-2

Answer:

2‹18x

2 is less than 18 timesX

Answer:

look at this dudeee

Surface area of the prism given is 46 inches².

The area of a three dimensional object on it's outer surface is called the surface area of the object

Given net of a prism.

The given net consists of three rectangles and two triangles.

Find the area of each of the two dimensional figures.

Given, the bases are isosceles triangles.

So the two rectangles are of dimensions 5 inch × 2.5 inch and third rectangle is of the dimensions 5 inch × 3 inch.

Total area of the rectangles = (5 × 2.5) + (5 × 2.5) + (5 × 3)

                                              = 40 inches²

Area of two triangles = 2 × [tex]\frac{1}{2 }[/tex] × 3 × 2

                                   = 6 inches²

Surface area of the prism = 40 inches² + 6 inches² = 46 inches²

Hence the required area is 46 inches².

Learn more about Surface Area here :

https://brainly.com/question/29101132

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The number of outcomes in the sample space is 6.

It is a branch of mathematics that deals with the occurrence of a random event.

When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.

So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".

Sample space by its definition is list of all the possible outcomes of an experiment.

S={1,2,3,4,5,6}

Hence, the number of outcomes in the sample space is 6.

To learn more on probability click:

https://brainly.com/question/11234923

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Answer:

0.079

Step-by-step explanation:

Number of suit of hearts = 13

Total number of cards in deck = 52

P(drawing a suit of heart) = number of suit of heart / total number of cards in deck

P(drawing a suit of heart) = 13 /52 = 1 /4

Hence, Probability of success, p = 1/4

P(not drawing a suit of heart) = 1 - 1/4 = 3/4

Hence, Probability of performing exactly 5 draws :

To perform exactly 5 draws :

1st draw = not a heart suit

2nd draw = not a heart suit

3rd draw = not a heart suit

4th draw = not a heart suit

5 draw = a heart suit

P(performing exactly 5 draws) =

(3/4 * 3/4 * 3/4 * 3/4 * 1/4)

= 0.0791015625

= 0.079

Answer: 7/12

Step-by-step explanation: Given that,

(5/6) - (1/4) = ?

The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,

 = ( 10 - 3 ) / 12

= 7 /12

Answer:

The answer is B. 40

Answer:

answer it B which is 40..............

Answer:

3 dollars and 9 cents.

Step-by-step explanation:

From the question given above, the following data were obtained:

Total amount = 20 dollars

Amount for gift A = 9 7/10 dollars

Amount for gift B = 6 2/5 dollars

Amount for gift C =?

The amount of money she has left for gift C can be obtained as follow:

A + B + C = 20

9 7/10 + 6 2/5 + C = 20

Change to improper fraction

97/10 + 32/5 + C = 20

(97 + 64)/10 + C = 20

161/10 + C = 20

Collect like terms

C = 20 – 161/10

C = (200 – 161)/10

C = 39/10

Change to mixed fraction

C = 3 9/10 dollars

C = 3.9

C = 3 dollars and 9 cents

Therefore, Kathy had 3 dollars and 9 cent for gift C

Answer:

the new photo will be 20sq.in, smaller

Step-by-step explanation:

4/8=1/2

so it's basically half  of the size

5*8=40

40/2=20 square inches

it's smaller