An article reported that 6 in 10 auto accidents involve a single vehicle (the article recommended always reporting to the insurance company an accident involving multiple vehicles). Suppose 20 accidents are randomly selected. Use Appendix Table A.1 to answer each of the following questions. (Round your answers to three decimal places.)
(a) What is the probability that at most 8 involve a single vehicle?
(b) What is the probability that exactly 8 involve a single vehicle?
(c) What is the probability that exactly 10 involve multiple vehicles?
(d) What is the probability that between 5 and 8, inclusive, involve a single vehicle?
(e) What is the probability that at least 5 involve a single vehicle?
(f) What is the probability that exactly 8 involve a single vehicle and the other 12 involve multiple vehicles?

An approximate solution for the system of equations in this problem is given as follows:

C. x ≈ 5.81.

When we want to solve a system of equations graphically, we must obtain the point of intersection of the equations that compose the system.

The equations for this problem are given as follows:

From the graph, the x-coordinate of the point of intersection is given as follows:

x = 5.805.

Which is rounded as follows:

C. x ≈ 5.81.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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Since triangle, ABC is an isosceles triangle because AB = BC

Then the angles of its base are equal

Since the angles of its bases are <2 and <4, then

Since <3 and <4 are vertically opposite angles

Since the vertically opposite angles are equal in measures, then

Since measure of <3 = 2x + 12, them

Since <1 and <2 are linear angles

Since the sum of the measures of the linear angles is 180 degrees, then

Since m<1 = 5x, then

Add the like terms on the left side

Subtract 12 from both sides

Divide both sides by 7

Then substitute x by 24 in the measure of <2

The measure of angle 2 is 60 degrees

2 to the fourth power is 16

Answer:

the distance is 5

Step-by-step explanation:

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

8.17528235E+15

Step-by-step explanation:

The answer is above

80×

Answer:

\(p=\frac{d}{2}+4x\)

Step-by-step explanation:

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)

Answer:quadratic parent function

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

x = 2

The smaller angle = 20

The larger angle = 70

Step-by-step explanation:

1/4 of a circle is  90 degrees

90 = 10x+ 20x+30

Combine like terms

90 = 30x+30

Subtract 30 from each side

90-30 = 30x+30-30

60 = 30x

Divide each side by 30

60/30 = 30x/30

2= x

10x = 10*2 = 20

20x+30 = 20*2 + 30 = 30+30 = 70

The measure of angle GPE, considering the two tangents that intersect, is given as follows:

m < GPE = 27º.

The two-secant theorem states that when two secant lines of a circle intersect at a point outside a circle, the measure of the angle of intersection is given by half the difference between the arc length of the far arc by the arc length of the near arc.

Hence the equation is given as follows:

y = (far arc - near arc)/2.

The parameters for this problem are given as follows:

Hence angle GPE is the angle of intersection of the two secant segments, given as follows:

m < GPE = (97 - 43)/2

m < GPE = 27º.

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Answer:

Well an equation for a linear equation would be in The format
y= mx + b

With the only importance here is M being the slope and the B being the y-intercept.

We can’t have an exact estimate of the Y intercept so we can use point slope formula which is a build up of y=mx+b or you can just subsitute, I’ll go over both ways.

Point slope solution

Point slope formula is
y-y1 = m(x-x1)

1 does not impact the form, it’s a label.

(x1,y1) is the first coordinate which can also be any LABELED so lets do (4,6).

M represents slope.

To count slope we need to follow the formul
y2-y1 / X2-x1

Now solve.

6-1/ 4- (-2)

5/6 is the slope here.

So plugging everything into point slope formula.

y - 6 = 5/6 ( x - 4)

Solve.
Isolate the equation into y=mx + b

y = 5/6x + 2 2/3 is your final equation.

Slope intercept solution

Well this is just the name.
Plus in everything you know into y=mx + b

We know that the slope (m) is 5/6
(x,y) can be any point on the line so lets use (4,6)
We solve for b (y- intercept)

So…

6 = 5/6 (4) + b
Solve

6= 20/6 +b

2 2/3 = b

Now plug it in normally.

Y= 5/6x + 2 2/3

The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

25

Step-by-step explanation:

if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25

Answer:

25

Step-by-step explanation:

Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.

Answer:

Step-by-step explanation:

(0.1)²=0.01

(0.2)²=0.04

(0.3)²=0.09

(0.4)²=0.16

(0.5)²=0.25

(0.6)²=0.36

(0.7)²=0.49

(0.8)²=0.64

√0.5 or √0.50 is between √0.49 and √0.64

or

0.7 and 0.8

(0.01)²=0.0001

(0.02)²=0.0004

(0.03)²=0.0009

(0.04)²=0.0016

(0.05)²=0.0025

so √0.002 or √0.0020 is between √0.0016 and √0.0025

or between 0.04 and 0.05

Answer:

The 3rd one

Step-by-step explanation:

My mom is a teacher lol

Answer:

$4199.88

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)^nt

P = final amount

A = starting amount (4,1111)

r = rate (0.0107)

n = times applied (12 since it's quarterly)

t = years (2 x 12 = 24)

P = 4,111(1 + 0.0107/12)^24

P = 4,111(1 + .0008916666...)^24

P = 4,111(1.021621)

P = 4,199.883441

Round it to 4199.88

Answer:

On the 40th and the 80th you will receive both a free beverage and a free appetizer. You can find this by simply finding the multiples of both number up to 100 (or a little more than 100) to find out on which dates you'd get bothe an appetizer and beverage for free. Here are the multiples of both, to prove this answer.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104.

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

Thus making 40 and 80 the answers. I hope this helps!

Answer:

on your 40th visit you will get both

Step-by-step explanation:

8 times 5 is 40

10 times 4 is 40

Answer:

Hope this helps u pls mark me brainlist

formula : l x B = 10 x 16 = 160 sq

The answer is

6 hours : 1 book

Answer:

C

Step-by-step explanation:

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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A graph may or may not represent a function.

The true statement is: (b) Yes, the graph passes the vertical line test.

The vertical line test is used to determine if a graph represents a function or not.

When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.

This means that:

The graph represents a function.

Hence, option (b) is true

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On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.

Step-by-step explanation:

Hope this helps!!!

Answer:

For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.

For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).

Step-by-step explanation: