it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?

Answers

Answer 1

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.

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Related Questions

which of the following is a number where the digit 2 represents 1/10 the value of the digit 2 in the number 1,947.5286​

Answers

Answer:

0.002

Step-by-step explanation:

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100 and that would get us 2/1000

2/1000 is also 0.002

0.002 is the value of the digit 2 in the number 1,947.5286​.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here we have,

the number 1,947.5286​.

the digit "2" in this equation represents 0.02 or also 2/100

1/10 of 2/100 would be like multiplying 1/10 and 2/100

and that would get us 2/1000

i.e.

2/1000 is also 0.002

Hence, 0.002 is the value of the digit 2 in the number 1,947.5286​.

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The angle of depression from the top of a cliff to a
nearby town is 12 degrees. If the top of the cliff is
277 feet above the town, how far is the town from
the base of the cliff?
Round your answer to the nearest tenth of a foot

Answers

Answer:

Step-by-step explanation:

d = 277/tan12 = 1,303.1825... m = 1.3 km

The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.

The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).

Let's denote the distance from the town to the base of the cliff as "d."

The tangent of the angle of depression is given by:

tan(12°) = opposite / adjacent

tan(12°) = 277 / d

Now, solve for "d":

d = 277 / tan(12°)

Using a calculator:

d ≈ 1337.25 feet

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Solve for x
5(x+8)=2x−7+8(x−1)

Answers

Answer:

x = 11

Step-by-step explanation:

5(x+8) = 2x - 7 + 8 (x - 1)

5x + 40 = 2x - 7 + 8x - 8

5x + 40 = 2x + 8x - 7 - 8

5x + 40 = 10x - 15

40 + 15 = 10x - 5x

55 = 5x

5x = 55

x = 55/5

x = 11

x=11

Step-by-step explanation:

5x+40=2x-7+8x-8

5x+40=10x-15

10x-5x=40+15

5x=55

x=55/5

x=11

Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.

a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?

Answers

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

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When thirteen is reduced by two-thirds of a number, the result is 7. Find the number.
The number is

Answers

Answer:

30

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

[tex] = \frac{2}{3} x[/tex]

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

(On putting like terms on one side)

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

(On Simplification)

[tex] = > \frac{2}{3}x = 20[/tex]

(On multiplying both sides with 3/2)

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

(On Simplification)

=> x = 30

Hence,

The req. number is 30.

Given that :

Thirteen is reduced by two-thirds of a number. And their result is 7.

To Find :

The number.

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.

There are 163 girls and 157 boys in school. 27 girls and 33 boys play soccer after school. What percentage of students play soccer after school?

Answers

Answer: The answer is to this math question is 18.75% of the students play the soccer after school.

Step-by-step explanation: Here are the following steps in order to convert the given fraction to percentage of the students play the soccer after school:

Step 1. First I add the total of the students in school and then added the total of the students play the soccer after school that looks like this: [tex]163+157=320[/tex] and [tex]27+33=60.[/tex]

Step 2. Using the online fraction to percentage calculator, first I find The Greatest Common Factor of 60 and 320 that looks like this: GCF(60,320) = 20.

Step 3. I can reduce this fraction by dividing both the numerator and denominator by 20 that looks like this: 60÷20/320÷20=[tex]\frac{3}{16}.[/tex]

Step 4. I know that [tex]\frac{3}{16}[/tex] is the same as 3÷16, then using The Long Division for 3 divided by 16 that gives us: 0.1875.

Step 5. I multiply the given decimal number by 100% in order to convert the fraction to percentage of the total students play the soccer after school that looks like this: 0.1875×100=18.75%.

I hope that my given answer with my given step-by-step explanation is very helpful to your own math question about how to find the percentage of the total students play the soccer after school, please mark me as brainliest and have a great P.A. Day and weekend! :D

Sincerely,

Jason Ta,

The ambitious of Brainly and the role of The TDSB and WHCI Student of the high school.

6. A quadratic function has a minimum at (6,-2) and an x-intercept at (10,0).
What is the other x-intercept?

Answers

Answer:

(2,0)

Step-by-step explanation:

The minimum is 4 units from the x intercept on the x axis.

Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.

6+4=10

6-4=2

The other x intercept is at (2,0)

49-6(4x-7) pls help me.

Answers

Here’s the answer! Hope this helps.

a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z

Answers

Answer:

116

Step-by-step explanation:

this is the correct answer

What is the polar form of -9-9i sq root 3

Answers

Answer:

The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

The inverse tangent of √33 is θ=30° θ = 30 ° . This is the result of the conversion to polar coordinates in (r,θ) form.

The polar form of Complex Numbers

The polar form of a complex number is a different way to represent a complex number apart from the rectangular form. Usually, we represent the complex numbers, in the form of z = x+iy where 'i' is the imaginary number.

But in polar form, the complex numbers are represented as the combination of modulus and argument.

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Which equation represents a line passing through the point (8, 33) with a slope of 3?
A. y = 3x – 15
C. y = 3x – 8
B. y = 3x + 33
D. y = 3x + 9

Answers

Answer:

Is ka answers D ha.........

Answer:

The answer is D.

Step-by-step explanation:

(8 ,33) = ([tex]x_{1} , y_{1} )[/tex]

m = 3

To find the equation, use the formula:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

Put the values in the equation

y - 33 = 3(x - 8)

y - 33 = 3x - 24

Now to get only the y, put the [tex]y_{1}[/tex]

y - 33 = 3x - 24

    33           33

------------------------

   y    =  3x + 9

Use the Chain Rule to express the second derivative of f∘g in terms of the first and second derivatives of f and g.

Answers

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

Mathematically speaking, a composition between two functions is defined by the following operation:

[tex]f\,\circ\,g\,(x) =f(g(x))[/tex] (1)

By Chain Rule we get the first and second derivatives of the composition:

First derivative

[tex]\frac{d}{dx} (f\,\circ\,g\,(x)) = \frac{df}{dg}\cdot \frac{dg}{dx}[/tex] (2)

Second derivative

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex] (3)

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

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The perimeter of the triangle is
equal to the area of the rectangle.
What is the value of x?

Answers

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

What is 15.56 rounded to the nearest tenth?​

Answers

The answer is 15.6 cuz your round 0.56

Answer: 15.6

Step-by-step explanation:

In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.

Find two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum.

Answers

The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

Let the two variables be x and y

If the product of the numbers is 300, hence

xy = 300

x = 300/y ........ 1

If the sum of the first and four times the second is a minimum, then;

P(x, y) = x + 4y .................. 2

Substitute equation 1 into equation 2:

P(x, y) = x + 4y

P(y) = 300/y + 4y

If this function is at mimimum, hence dP/dy = 0

dP/dy = -300/y² + 4 = 0

-300/y² + 4 = 0

-300 + 4y² = 0

4y² = 300

y² = 300/4

y²=   75

y = 7.66

Since xy = 300

x = 300/7.66

x = 39.16

Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

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How many milliliter are in 0.3grams

Answers

Answer:

0.3ml

Step-by-step explanation:

0.1 g = 0.1 ml

60 children went to the beach.. 4/5 of them could swim. How many 60 children went to the beach. children could not swim?​

Answers

Answer:

75

Step-by-step explanation:

60 divided by 4/5 is 75

If 4/5 can swim, then 1/5 cant

1/5 of 60 is basically 60/5 which is 12

12 children can’t swim

the bottom the range has the same numbers so I just need the domain and range help plz!!

Answers

Step-by-step explanation:

The domain is set of x-values:

0 ≤ x ≤ 7.5 as both points are inclusive

The range is set of y-values:

0 ≤ y ≤ 14 as both points are inclusive

Apply the distributive property to create an equivalent expression

Answers

Answer:

3e-3/2f-3/8

Step-by-step explanation:

You multiply everything in the parenthesis with 1/2. 1/2*6e=3e, 3f*1/2=3/2f, 3/4*1/2=3/8. This would be the answer.

What amount did Kayla withdraw from her account if she wrote four checks of $54.28, $675.45,
$95.22, and $76.25?

Answers

Answer:

I believe that it is $901.20

Step-by-step explanation:

I make this assumption Because when we withdraw, we take away. If Kayla wrote these for checks, you just simply add them up and you get a total of $901.20.

We aren’t sure how much she had before withdrawing this money

Is X=7 an oblique Line?

Answers

Answer:

no

Step-by-step explanation:

Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.

x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.

Answer:

x = 7 is not an oblique line.

Step-by-step explanation:

x = 7 is the standard equation for a vertical line, x = a, with an undefined slope.  Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).  

The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0.  A line with a zero slope is a horizontal line (which is also not an oblique line).

Therefore, x = 7 is not an oblique line, but rather a vertical line.  

help me out please i dont understand this

Answers

Answer:

x=7°

Step-by-step explanation:

From the picture it tells us that all side are equal

so that means every side is 60°

Let's make an equation

9x-3°=60°

add 3 on both sides

9x=63°

divide both sides by 9

x=7°

Help needed with this asap

Answers

Answer:

x = 10

Step-by-step explanation:

RO and OQ are congruent

Since RO = 50, and RQ = 12x - 20,

OQ = 12x - 20 - 50 = RO

50 = 12x - 70

120 = 12x

x = 10

-Chetan K

X = 10 easy peasy . can i get marked brainlest

Simplify -3(xy + 2y) + 5y - x.​

Answers

Answer:

Step-by-step explanation:

-3 (xy+2y)+5y-x

-3xy-6y+5y-x

-3xy-y-x

Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?

True, the Ordered Pair is a solution to the equation.

False, the Ordered Pair is NOT a solution to the equation.

Answers

Answer:

The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.

Step-by-step explanation:

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answers

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answer:

if it has two equal sides the triangle is isosceles by definition

Definition of

Isosceles Triangle

A triangle with two equal sides.

The angles opposite the equal sides are also equal.

A 44-foot long wire will be attached to the top of a
pole for support, and will be pulled tight and
anchored to the ground. If the wire makes a 13
degree angle with the ground, how tall is the pole?
Round your answer to the nearest hundredth of a
foot

Answers

Answer:

Step-by-step explanation:

h = 44sin13 = 9.89784... = 9.90 ft

Please help me with these questions. I’m genuinely confused.

Answers

Answer:

16. 1 4/5

17. 2 2/3

18. 4/11

19. 4 1/2

20. 4/7

21. 1/2

22. 1 2/5

23. 2 1/2

24. 4 2/3

Step-by-step explanation:

1. subtract whole numbers first

2. subtract fractions next (simplify if you can)

3. subtract fractions and whole numbers

Find the length of PQ.

Answers

PQ LENGTH 12 msg back if wrong

HELP!

due tommorow , KS3 year 8

Answers

Answer:

Perimeter = (Length + Width)×2

=(17.8cm + 4.6cm)×2

=(22.4 × 2)cm

= 44.8cm

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