A group of people were asked if they had run a red light in the last year. The number of people that
responded yes is 397 and no is 159. Find the probability that if a person is chosen at random, he/she has
run a red light in the last year. Round to two decimal places.
Question Help:

Answers

Answer 1

If a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

What do we mean by probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

So, to find the probability:

P = number of favorable terms/number of total termsFavorable terms = 397Total number of terms = 397 + 159 = 556

Apply values in the formula:

P = 397/556P = 0.714028On rounding off, P = 71%.

Therefore, if a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

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Related Questions

T=A3/2 with out rational exponents

Answers

After the conversion, we get T² = 1/3 A

It is given that

T = [tex]A^{\frac{3}{2} }[/tex]

We have to convert the equation without rational exponents

T³ = A²

1/2 T = A³

T² = A³

T² = 1/3A

Therefore we get T² = 1/3 A without using the exponents.

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the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions

Answers

Answer:

the answer is 378

Step-by-step explanation:

jist multiply 126 by 3

Average Allowance
Amount Frequency
$20
$15
$10
$5
11 P What is the
mode of this
data on
allowance
amounts?
##
MH MH
|||

Answers

Answer:10

Step-by-step explanation:

I really need help on all these questions

Answers

1) True
2) True
3) True
4) False
5) True
6) False
7) True
8) True
9) True
10) False

I DONT UNDERSTAND HELP

Answers

Answer:

Step-by-step explanation:

298°+29°+(-116+x)°=360°

x=360°-298°-29°+116°

x=149°

Step-by-step explanation:

298°±29°±(-116±x°)=360

x=360°-298°-29°+116°

x=149°

Can someone help me with this?

Answers

Answer:

Choice A: 11

Step-by-step explanation:

We have x² - y² = 19

x² - y²  = (x + y)(x-y)

So (x + y)(x-y) = 19

Since x and y are integers as per the first statement (x, y ∈ Z), we also have x + y = integer and x-y = integer

Take (x + y)(x - y) = 19

Since 19 is prime its only factors are 1 and 19

So we have two situations which can satisfy the above
Either x + y = 1 and x -y  19 or x + y = 19 and x -y = 1

1. Let's try x + y = 1 and x - y = 19
Adding both equations together gives us 2x = 20 (y-terms cancel)

==> x = 10 ==> 10 + y = 1 or y = -9

So 2x - 9 => 2(10) - (-9)  = 20 + 9 = 29

This is not one of the choices so we can go on to the next case

2 Let's take x + y = 19 and x - y = 1


Adding these two equations gives us
2x = 20, x = 10 as before


Use 10 in the equation x + y = 19

==> 10 + y = 19

==> y = 19 - 10 = 9

2x - y ==> 2(10) - 9 ==> 20 - 9 = 11

So answer is choice A:  11

If JK = x + 8, KL = 10, and JL = 7x, what is JK?

Answers

Answer:

10 is the jk because x + 8 is 10

I hope it will help

Answer:

11 units

Step-by-step explanation:

It's clear that,

JL = JK + KL

Given that,

JK ⇒ ( x + 8 )

KL ⇒ 10

JL ⇒ 7x

So, by using these data we can make an expression like this.

JL = JK + KL

7x = x + 8 + 10

Now make x the subject and find the value of x.

7x = x + 8 + 10

7x = x + 18

7x - x = 18

6x = 18

6x/6 = 18/6

x = 3

And now let us find the value of JK.

JK ⇒ x + 8

To, find the value of JK we have to replace with 3.

JK ⇒ x + 8

JK ⇒ 3 + 8

JK ⇒ 11 units

I really need help i don't get it can some one help its due by Monday 9/8/22

Answers

Answer:

ayannah is correct

Step-by-step explanation:

Ayannah is correct becauseyou can divide both 19 and 133 by 19 which gives you 1/7. 1/7 isn't divisible by anything else so that's the simplest form.

Answer:

Ayanna is correct because 19/133= 1/7

Step-by-step explanation:

Simplest form means reducing fractions to its lowest term.

Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis?

Answers

The range is the set of y outputs. In this case, the range is the profit.

A negative profit means the company lost money. This is when the cost is larger than the revenue. For instance, if the revenue was $100 but the cost is $150, then the profit = revenue - cost = 100-150 = -50 to signal they lost $50.

Positive profit means the company made money.

The x intercept represents the break-even point. This is where the company neither loses money, nor gains money. The profit is $0 here.

Answer/Step-by-step explanation:

In order to open a restaurant you have to rent a venue, furnish and decorate it, hire a staff and buy food and drinks. Before serving (selling) any meals you have to spend a lot of money. This is why the negative y-values.

At the point where the line crosses the x-axis (horizontal axis) you now begin to have a positive output to your operation. If you sell enough meals, you will turn a profit. That is, you make enough money to pay all those start-up expenses and still have money left over to keep!

the odle show the fraction 2/3 a student uses the model to find the product of 5/2 and 2/3

Answers

It should be noted that the product of the fractions 5/2 and 2/3 will be 5/3.

What is a fraction?

It should be noted that this is a number that is expressed as a quotient, in which a numerator is divided by a denominator.

Therefore, it should be noted that the product of the fractions 5/2 and 2/3 will be illustrated as thus:

= 5/2 × 2/3

= 5/3.

Therefore, the product of the fractions 5/2 and 2/3 will be 5/3.

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1. A market research survey in which 60 consumers were contacted states that 65% of all consumers of a certain product were motivated by the product's advertising. Find the confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95.​

Answers

The confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95. is; CI = (0.47, 0.77)

How to find confidence Interval of Proportions?

We are given;

Sample Size; n = 60

sample proportion; p' = 65% = 0.65

Confidence level = 0.95

Now, formula for confidence interval of proportion is;

CI = p' ± z√(p(1 - p)/n)

At CL of 95%, z = 1.96Thus;

CI = 0.65 ± 1.96√(0.65(1 - 0.65)/60)

CI = 0.65 ± 1.96√0.00379167

CI = 0.65 ± 0.12

CI = (0.65 - 0.12), (0.65 + 0.12)

CI = (0.47, 0.77)

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The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.

Answers

The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

When time equals 0, why is the height of the cannonball not equal to 0?

From the graph, we have the y-intercept to be

y-intercept = (0, y), where y > 0

This means that the graph starts above the origin

This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)

Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

Describe the domain and the range of this function

In this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height

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If angle YXZ measures 90 degrees, which statement is true?

O. segment XZ is perpendicular to segment WY


O. WX =XY


O. segment XZ is a perpendicular bisector of segment WY


O. X is the midpoint of segment WY

Answers

Answer:

its the first alternative


Convert y = 0.25x + 7/8 into standard form.

Answers

Answer: -0.25x+y=7/8

Step-by-step explanation:

y = 0.25x + 7/8

-0.25x+y=7/8 ==>Subtract 0.25x from both sides to get the Ax+By=C format

A survey of 800 school employees yielded the following information 430 were instructors 595 were full time faculty and 340 of the instructors were full time

Answers

Answer:
249
Step-by-step explanation:
let n(U) be the total number of school
employees =800
Let n(1) be amount of instructors = 430
Let (F) be full-time faculty = 589
Let n(InF) be the instructors who were full-time
faculty = 340
The number of employees who were full-time
faculty but were not instructors is expressed as:
n(FnI") = n(F) - n(InF)
n(FnI') = 589 - 340
n(FnI'") = 249
Hence the number of school employees who
were full-time faculty but were not instructors
are 249

Answer Question a),b) and c)

Answers

Answer:

a. leisure

b. £189

c.£ 1610

Step-by-step explanation:

2.30x10^4 standard notation

Answers


The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s):

2.3 -> 23000

In a box of highlighters there are 8 which have dried up and will not write. the box contains 10 red, 15 blue, 5 green and 10 yellow highlighters. Two
highlighters are randomly picked without replacement in succession from the
box. Find the probability that the highlighters are of the different colours.

Answers

The probability that it will be a blue highlighters is 3 / 10.

In statistics, what does a probability mean?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

the highlighters which are dried up and will not write or eight

number of red highlighters = 10

number of blue highlighters 15

number of green highlighters = 5

number of yellow highlighters = 10

therefore the total number highlighters in the box

= 10 + 10 + 15 + 5 + 10 = 50

probability of Blue = number of blue highlighters

Total number of highlighters

= 15 /50 = 3/10 = 0.3

the probability that it will be a blue highlighters is 3 / 10

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Which fraction is equivalent to
9/18?

Answers

Answer:

Step-by-step explanation:

2/4

A single​ 6-sided die is rolled twice. Find the probability of getting a 3 the first time and a 4 the second time. Express the probability as a simplified fraction

Answers

Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

The first roll.  There are six possible answers (1,2,3,4,5,6), but of those 6 answers, there is only one that I want; 3. so, The probability of rolling a 3 is [tex]\frac{1}{6}[/tex].  There is the same probability for rolling a 4.

If I multiply these together I will find the probability that I am looking for.

[tex]\frac{1}{6}[/tex] x [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{36}[/tex]

The monthly rent on an ​-square-meter apartment in Monte​ Carlo, Monaco, is $1000 euros. The monthly rent on a ​450-square-foot apartment in Santa​ Fe, New​ Mexico, is ​$900. In terms of price per​ area, which apartment is less​ expensive?

Answers

The apartment in santa fe  is less expensive

Rent in an-square-meter apartment in Monte Carlo = 1000 euros.

rent on a 450-square-foot apartment in Santa Fe  =  $900

To Find:

Which apartment is less expensive =?

Price per area in Monte Carlo

Cost per square meter in Monte Carlo

=>total rent / total area

=>1000/1

=> 1000euros per square meter

Converting to euros per square meter to dollars per square foot

1 Euro per square meter=  0.102355924 U.S. dollars per square foot

1000 euros per square meter = 0.102355924 x 1000 = 102.3559U.S. dollars per square foot------------------------(1)

Price per area Santa Fe, New Mexico

=>900/450

=>2

=> 2dollars per square foot-------------------------(2)

From (1) and (2)

102.3559> 2

Hence, The apartment in santa fe  is less expensive

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(15 points) Find the number of elements in A1∪A2∪A3 if there are 102 elements in A1, 992 elements in A2 and 9975 elements in A3 in each of the following situations:


(a) The sets are pairwise disjoint.




(b) A1⊆A2⊆A3.



(c) There are 14 elements common to each pair of sets and 4 elements in all three sets.

Answers

From the union operation between sets, we have that the number of elements for each case will be as follows:

a) 11069.

b) 9975.

c) 11031.

What is the union operation between sets?

The union operation between sets is the set that contains all elements that belong to at least one of the sets.

In item a, if the sets are disjoint, all the elements belong to only one set, and the number of elements in A1∪A2∪A3 is given by:

102 + 992 + 9975 = 11069.

For item b, if they are all contained into A3, the number of elements is the cardinality of A3, given by 9975.

For item c, we have that:

There are 4 elements in all three sets.Hence 14 - 4 = 10 common to A1 and A2 but not A3.Hence 14 - 4 = 10 common to A1 and A3 but not A2.Hence 14 - 4 = 10 common to A2 and A3 but not A1.102 - (4 + 2 x 10) = 78 that belong to only A1.992 - (4 + 2 x 10) = 968 that belong to only A2.9975 - (4 + 2 x 10) = 9951 that belong to only A3.

Hence:

n(A1∪A2∪A3) = 4 + 3 x 10 + 78 + 968 + 9951 = 11031.

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HELP! daughters struggling with this problem!

Answers

The required number of people that are in the US labor force is 0.0086t² + 0.087t + 25.375.


To determine the total number of people available in the US labor force.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
As per the data available, the number of Men in the US labor force is M = 0.0016t² + 0.315t + 19.467 and the number of women are W = 0.007t² -0.228t + 5.908.
Total people available in the US labor force,
= Number of women + number of men
= 0.0016t² + 0.315t + 19.467 + 0.007t² -0.228t + 5.908
=  0.0086t² + 0.087t + 25.375.

Thus, the required number of people that are in the US labor force is 0.0086t² + 0.087t + 25.375.


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The region [tex]R[/tex] is bounded by the lines [tex]x=2[/tex], [tex]x=3[/tex], [tex]y=-1[/tex], and the curve [tex]y=\frac{1}{2+x^3}[/tex]. Suppose a solid is formed by revolving [tex]R[/tex] about an axis. Use the disk/washer method to set up the integral (or expression involving sums of integrals) giving the volume of the solid formed when [tex]R[/tex] is revolved about [tex]x=-5[/tex].

Answers

The curve intersects the vertical lines when

[tex]x=2 \implies y = \dfrac1{2+2^3} = \dfrac1{10}[/tex]

and

[tex]x=3 \implies y = \dfrac1{2+3^3} = \dfrac1{29}[/tex]

Split up the region into washers of thickness [tex]\Delta y[/tex].

For [tex]-1\le y\le\frac1{29}[/tex], the inner and outer radii of each washer will be constant, with outer radius [tex]x=3[/tex] and inner radius [tex]x=2[/tex]. Each washer in this interval will contribute a total volume of

[tex]\pi (3^2 - 2^2) \Delta y = 5\pi\,\Delta y[/tex]

For [tex]\frac1{29} \le y \le \frac1{10}[/tex], the washers will have a varying outer radius of length

[tex]y=\dfrac1{2+x^3} \implies x = \sqrt[3]{\dfrac1y - 2}[/tex]

and inner radius [tex]x=2[/tex]. Their volumes are

[tex]\pi \left(\left(\sqrt[3]{\dfrac1y - 2}\right)^2 - 2^2\right) \, \Delta y = \pi \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, \Delta y[/tex]

Let [tex]\Delta y\to0[/tex]. Then as the number of washers goes to infinity, the total volume of the solid converges to the definite integral

[tex]\displaystyle 5\pi \int_{-1}^{1/29} dy + \pi \int_{1/29}^{1/10} \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, dy[/tex]

The first integral is trivial, but the second one requires hypergeometric functions to evaluate exactly. With a calculator, we find the approximate volume to be 0.117884.

Which benchmark fraction is 4/7 closest to?
A. 1/2
B. 1/4
C. 3/4
D. 4/4​

Answers

Answer: being that it’s 4/7 it’s closer to 1/2

Create the Subset and Proper Subset of the set A= {1,2,3,4}. Upload your work.

Answers

The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}

How to create the Subset and Proper Subset of the set?

The set is given as:

A = {1,2,3,4}

Subsets of a set are sets that can be found in another set

An instance of this is

B = {1, 2}

Because all the elements of set B are in set A

Proper subsets of a set are sets that contain the exact elements found in another set

An instance of this is

C = {1,2,3,4}

Because set C and set A have the same elements

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Square root of 16 multiply by 35

Answers

Answer:

140

Step-by-step explanation:

the square root of 16 is 4 so do that times 35

630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?

Answers

Answer:

378 people ordered fries

Step-by-step explanation:

60% of 630 is

60/100 × 630

= 3/5 × 630

= 3 × 126

= 378

Jennifer bought 3 4 kg of white rice and 1 8 kg of brown rice. How many kilograms of rice did she buy altogether?

Answers

Answer:

52kg

Step-by-step explanation:

it's just sum of the kgs bought

What is the area of a circle with a diameter of 10 inches?What is the area of the circle shown below?
A circle with radius 8 centimeters.
a.
8 pi cm2
c.
StartFraction 16 Over 3 EndFraction pi cm2
b.
16 pi cm2
d.
64 pi cm2

Answers

The area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

How is Area of circle is calculated ?

Area of circle is calculated using formula :

A = πr²

1) It is given that diameter of circle is 10 inches then the radius will be half of it that is :

d = 10 inches

r = 5 inches

Now calculating the area of circle using the above formula :

A = πr²

A = π(5)²

A = 25π in.²

2) It is given that radius of circle is 8 cm then calculating area using above formula :

A = πr²

A = π(8)²

A = 64π cm²

Therefore, the area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

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