In a study by the Department of Transportation, there were a total of 95 drivers that were pulled over for speeding. Out of those 95 drivers, 33 were men who were ticketed, 8 were men who were not ticketed, 7 were women who were ticketed, and 47 were women who were not ticketed. Suppose one person was chosen at random.
1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?
2. What is the probability that the selected person is someone who was not ticketed, given it is a man?
Enter your answers as whole numbers or fractions in lowest terms.

Answers

Answer 1

Answer:

1) 47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2) 8/41 probability that the selected person is someone who was not ticketed, given it is a man.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

1. What is the probability that the selected person is someone who was not ticketed, given it is a woman?

7 + 47 = 54 total woman

47 were not ticketed. So

[tex]p = \frac{47}{54}[/tex]

47/54 probability that the selected person is someone who was not ticketed, given it is a woman.

2. What is the probability that the selected person is someone who was not ticketed, given it is a man?

33 + 8 = 41 men.

8 were not ticketed. So

[tex]p = \frac{8}{41}[/tex]

8/41 probability that the selected person is someone who was not ticketed, given it is a man.


Related Questions

Convert 214 Liters into gallons.
A. 50 gallons
C. 60 gallons
B. 56.53 gallons
D. 52.65 gallons

Answers

Answer:

214 Liters converted to gallons would be 56.53 gallons there are more decimals after but those are the two main decimals.

Step-by-step explanation:

The answer to your problem is B please give me a brainlist

What is the measure of ABD?

Answers

Answer:

try d or c

Step-by-step explanation:


Find the value of x that will make kllm.

Answers

X=12 because they are equal the equation will be 4x+11=6x-13

Answer:

hi

Step-by-step explanation:

[tex](4x + 11) + (6x - 13) = 180 \\ 10x + ( - 2) = 180 \\ 10x = 180 + 2 \

Hello, I give brainliest. Do not answer questions just to get points or you will get reported. Your answer may be incorrect but it cant be completely off. I also give thanks as well as 5 star or 1-star rating if your answer was completely incorrect.

Answers

Answer: 1/15

Step-by-step explanation:

4/5 = 1/5 leftover

1/5 3 people

1/15 (5x3)

A computer is bought for $1,200 and a deposit of $300 is paid. The outstanding balance, plus 10% interest on the balance must be repaid in 4 quarterly installments. How much is each monthly installment?

Answers

Computer= $1200

You: makes $300 deposit


Computer= $900

You pay 10 percent interest and pay 4 quarterly installments.

*This means that you pay 4 times in a year. You pay once every 3 months + interest. So basically you pay will need to pay four times in one year to fully pay back your debt.

Interest-money paid regularly at a certain rate for the use of money lent, or for delaying the repayment of debt

You would pay $236.36 per every 3 months

Paying off $900 on 10% interest would mean that you pay a total of $945.45 in the time frame of a year (4 quarterly installments).

Your community is having a carnival. Admission into the carnival is $6 and
each game inside the carnival costs $0.75. Which of the following inequalities represents
the possible number of games g that can be played with $30?
a. 6g +0.75 s 30
b. 6g +0.75 2 30
C. 0.75g + 6 2 30
d 0.75g + 6 3 30

Answers

Hello!

Answer:

[tex]\boxed{ \bf d.~0.75g~+~6~≤~30}[/tex]

Explanation:

The variable “g“ represents games, so the coefficient in front of it CANNOT be 6 (since $6 is the cost of the admission and you only have to pay it once).

This automatically eliminates options A and B.

We are now left with C and D.

Since the questions asks for the possible number of games played with $30, we cannot go above it. Therefore, this eliminates option C because that sign is basically telling us that the cost of the admission fee ($6) + the number of games is either greater than or equal to $30. We need it to be LESS than or EQUAL to $30.

8 / 16 if you answer this you get points yaaaaaaaaaaaaay

Answers

8 over 16

eight over sixteen

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Inc. is given below.:

Frequent Flier Miles(000) Frequency
0 up to 3 5
3 up to 6 12
6 up to 9 23
9 up to 12 8
12 up to 15 2
Total 50

Required:
a. How many employees accumulated less than 3,000 miles?
b. Convert the frequency distribution to a cumulative frequency distribution.
c. Portray the cumulative distribution in the form of a cumulative frequency polygon.
d. Based on the cumulative frequency polygon, about 75 percent of the employees accumulated how many miles or less?

Answers

Answer:

A.) 5 employees

D.) 9 miles or less

Step-by-step explanation:

Frequent Flier Miles(000) ____ Frequency

0 up to 3 __________________ 5

3 up to 6 __________________ 12

6 up to 9 __________________ 23

9 up to 12 __________________ 8

12 up to 15 _________________ 2

Total ______________ 50

Required:

a. How many employees accumulated less than 3,000 miles?

5 employees (from the frequency table)

b. Convert the frequency distribution to a cumulative frequency distribution.

Frequent Flier Miles(000) ____ F ____ cumm/F

0 up to 3 __________________ 5 ____ 5

3 up to 6 __________________ 12 ___ 17

6 up to 9 __________________ 23 __ 40

9 up to 12 __________________ 8 __ 48

12 up to 15 _________________ 2 __ 50

c. Portray the cumulative distribution in the form of a cumulative frequency polygon.

d. Based on the cumulative frequency polygon, about 75 percent of the employees accumulated how many miles or less?

75% of employees

(75 / 100) * total number of employees

0.75 * 50

= 37.5

From the Cummulative frequency polygon, 75% of the employees accumulated about 9 miles or less

Check attached picture for Cummulative frequency polygon.

A man chooses a card at random from a
pack of playing cards. What is the
probability that the card is a diamond?

Answers

Answer:

13/52

Step-by-step explanation:

as there are 13 diamond cards out of the total 52 cards

Probability that the card is drawn from a deck of cards diamond is equal to [tex]\boldsymbol{\frac{1}{4}}[/tex]

Define probability.

Probability refers to a chance of occurrence of any event.

Value of probability is greater than or equal to zero and less than or equal to one.

Total number of cards in a pack of playing cards [tex]=52[/tex]

Number of diamonds [tex]=13[/tex]

Therefore,

Probability that the card is a diamond [tex]=\frac{13}{52}[/tex]

                                                               [tex]=\frac{1}{4}[/tex]

Find out more information about probability here:

https://brainly.com/question/11234923?referrer=searchResults

What is the value of this expression? 6 1/3+ 8 3/4- 7 1/6 Enter your answer as a mixed number in simplest fo​

Answers

61/3+83/3_71/2by taking l.c.m297÷1299÷4

(8.75-2.16)÷7.1+(4.5+1.3)÷4.3

Answers

Answer:

2.27700622339

Step-by-step explanation:

Calculated your welcome

Answer:

2.277

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

1. 6.59/7.1+(4.5+1.3)/4.3

2. 6.59/7.1+5.8/4.3

3. 0.928+5.8/4.3

4. 0.928+1.3488

5. = 2.277

What's the vertex for 6x^2-48x-54=0?

Answers

it would be 4,-25 becuase of in the first place i in and the other imp in cams was the

54L+43.42=3605.26 need help

Answers

Answer:

your answer is correct just add the label

Step-by-step explanation:

Urgent!! Help math!!

Answers

Answer:

25

Step-by-step explanation:

x = √7²+24² = √625 = 25

z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3

Answers

Answer:

z = 42

Step-by-step explanation:

The question can be answered in 2 steps as follows:

Step 1: Calculation of the constant of the variation

The equation for the joint variation can be given as follows:

z = cxy ................... (1)

Where;

z = 60

c = constant = ?

x = 5

y = 6

Substituting the values into equation (1) and solve c, we have:

60 = c * 5 * 6

60 = c * 30

c = 60 / 30

c = 2

Step 2: find z when x = 7 and y = 3

Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:

z = 2 * 7 * 3

z = 42

It is known that x and y are roots of the equation
[tex]6x^2 +7x +k =0[/tex], where [tex]2x +3y =-4[/tex].
Find k

Answers

Step-by-step explanation:

We are going to express

y in terms of x.

=> 2x + 3y = -4, y = (-4 - 2x)/3.

By Vieta's Formula,

We have SOR = -b/a and POR = c/a.

=> x + y = -7/6, xy = k/6.

When x + y = -7/6,

x + (-4 - 2x)/3 = -7/6.

=> (x - 4)/3 = -7/6

=> (x - 4) = -7/2

=> x = 4 - 7/2

=> x = 0.5.

When xy = k/6,

x(-4 - 2x)/3 = k/6.

Hence k = 6[x(-4 - 2x)/3]

= 2x(-4 - 2x) = 2(0.5)(-4 - 2(0.5)) = -5.

The value of k is -5.

Answer:

[tex]k = -5[/tex]

Step-by-step explanation:

We have the quadratic equation:

[tex]6x^2+7x+k=0[/tex]

Where x and y are the roots of the equation and:

[tex]2x+3y=-4[/tex]

First, using the quadratic formula with a = 6, b = 7, and c = k, we can find the roots to be:

[tex]\displaystyle x=\frac{-(7)\pm\sqrt{(7)^2-4(6)(k)}}{2(6)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{-7\pm\sqrt{49-24k}}{12}[/tex]

So, our two roots are:

[tex]\displaystyle x=\frac{-7+\sqrt{49-24k}}{12}\text{ and } y=\frac{-7-\sqrt{49-24k}}{12}[/tex]

For our first root, we can multiply both sides by 2.

And for our second root, we can multiply both sides by 3.

So, this produces:

[tex]\displaystyle 2x=\frac{-7+\sqrt{49-24k}}{6}\text{ and } 3y=\frac{-7-\sqrt{49-24k}}{4}[/tex]

Since we are given that:

[tex]2x+3y=-4[/tex]

By substitution:

[tex]\displaystyle \Big(\frac{-7+\sqrt{49-24k}}{6}\Big)+\Big(\frac{-7-\sqrt{49-24k}}{4}\Big)=-4[/tex]

Remove the fractions by multiplying both sides by 12:

[tex]\displaystyle (-14+2\sqrt{49-24k})+(-21-3\sqrt{49-24k})=-48[/tex]

Combine like terms:

[tex]-35-\sqrt{49-24k}=-48[/tex]

Adding 35 to both sides produces:

[tex]-\sqrt{49-24k}=-13[/tex]

So:

[tex]\sqrt{49-24k}=13[/tex]

Squaring produces:

[tex]49-24k=169[/tex]

Therefore:

[tex]-24k=120\Rightarrow k=-5[/tex]

Which graph represents

y =7/2 X – 2?


Answers

Answer:

pie chart

Step-by-step explanation:

i had the same thing

Fifteen less than twice a number is less than or equal to -23 just give me the equation not the answer

Answers

Answer:

2x-15 < or = -23

Step-by-step explanation:

Let x be the number.

Twice that number is 2x. 15 less than that is -15.

2x-15 < or = -23

Type your number answer in decimal form. Do not round. (help pls)
( ? )millimeters = 9.2 centimeters.

Answers

9.2 millimeters hope it helps

Answer:

hope im not late but its 92

Step-by-step explanation:

yea

Suppose KLMN - PORS. Find the value of %,
30
K 12
20
N
M
S
R
8,
4
8
b
C, 10
d. 2
Please select the best answer from the choices provided

Answers

Answer:

b. 8

Step-by-step explanation:

Since polygon KLMN and polygon PQRS are similar, it follows that their corresponding side lengths would be proportional to each other. Therefore:

LM/QR = KL/PQ

Plug in the values

x/20 = 12/30

Multiply both sides by 20

x = (12*20)/30

x = 8

3 2/3 x 1/5= please help

Answers

Answer: 11/15

Step-by-step explanation:

Compete the table. Write in the correct units that corresponds with the letters in the table.

Answers

Answer:

,

Step-by-step explanation:

ᵍᵍᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏᵏ

ⁱⁱⁱⁱᵏ

Lysa wants to build a fence around her yard. She needs 160 pieces of wood. She has already purchased 40 pieces. Which equation represents how many more pieces of wood she needs to purchase?

Answers

Answer:

160-x= 40

40+x=160

160-40=x

Step-by-step explanation:

Brainliest please :):)


The price of the tennis racket was estimated to be 200 dollars. However, the actual
prin of the tennis racket was 400 dollars What is the percent error?

Answers

50% error (200-400/400 =-200/400=-.5=50%)

Which shows one way to determine the factors of X-92 + 5x - 45 by grouping?
x2(x-9)-5(x-9)
x2(x+9)-5(x+9)
x(x2+5)-9(x2+5)
x(x2-5)-9(x2-5)

Answers

Find 9.5 and equal that and I’ll get it

43. A bookstore sells 24 paperbacks, 6 hardcovers, 38 magazines, and
5 calendars. What is the ratio of magazines sold to paperbacks sold?
c. 12
A. 24:38
B. 19 to 31
D. 12:24

Answers

Answer:12

Step-by-step explanation:

Answer:

The ratio of magazines sold to paperbacks sold is 19:12 or 19/12.

Step-by-step explanation:

Given that:

Number of paperbacks sold = 24

Number of hardcovers sold = 6

Number of magazines sold = 38

Number of calendars sold = 5

Ratio of magazines sold to paperbacks sold,

Magazines : Paperbacks

38 : 24

19 : 12

Hence,

The ratio of magazines sold to paperbacks sold is 19:12 or 19/12.

7321694 is divisible by?

Answers

the answer it is 2  

ok

I've been struggling to find the answer to 1+1?

Answers

Answer:

42

Step-by-step explanation:

trust the process shsuuchsisjfjsisine

Answer:

Hi! The answer is 2.

Step-by-step explanation:

1+1=2

Imagine having 1 cookie, then your friend gives you 1 more cookie. You would have two cookies.

Which expression is equivalent to 6/12 divided by 2/3

Answers

Answer: B

Step-by-step explanation:keep changing flip

✨ILL GIVE Brainalist I SWEAR. BTW THERE coMparing uniT PROPORTIONS PLS

5) Derek was surfing through the internet for a good deal on t-shirts. Help Derek find the
best buy among the following deals: Three t-shirts for $28.95, four t-shirts priced at
$39, and an offer of five t-shirts for $49.95.

Answers

Answer:

do the dead easy calculation read explanation I have no calculator atm

Step-by-step explanation:

so what you want to do is take the amount of cost and divide by number of shirts to find price per shirt and see which one is cheapest

Answer:

Three t-shirts for $28.95

Step-by-step explanation:

Three t-shirts for $28.95

Cost of one: $28.95/3 = $9.65

Four t-shirts priced at  $39

Cost of one: $39/4 = $9.75

Five t-shirts for $49.95

Cost of one: $49.95/5 = $9.99

The cheapest option is the first one

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