A thief who is particularly knowledgeable about statistics and the legal system determines that if he commits a given heist the probability that he is never caught is 60%. If he is arrested he will go to trial where there is a 30% chance the jury will acquit him, a 30% chance he is convicted and serves a prison sentence less than five years, and a 40% chance the sentence is more than five years.
What is the probability that the thief is not imprisoned in 5 years?
What is the probability that the thief was arrested given that he is not imprisoned in 5 years?
Answers
9514 1404 393
Answer:
about 28.6%
Step-by-step explanation:
The conditional probability equation can be used:
P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)
= 0.24/0.84 = 2/7 ≈ 28.6%
Related Questions
6x – 5 = 37 Please help I need it
98 points Please help
Answers
Answer: X = 7.
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I'll go step-by-step.
1. Add 5 to both sides. 6x-(5+5)=37+5
2. Simplify 6x=42
3. Divide both sides by 6. [tex]\frac{6x}{6} =\frac{42}{6}[/tex]
4. Then simplify/Divide. 42 / 6 = 7
That's how you get 7!
X = 7
Hey there!
6x - 5 = 37
ADD 5 to BOTH SIDES
6x - 5 + 5 = 37 + 5
CANCEL out: -5 + 5 because it gives you 0
KEEP: 37 + 5 because it help solve for the x-value
NEW EQUATION: 6x = 5 + 37
SIMPLIFY IT!
6x = 42
DIVIDE 6 to BOTH SIDES
6x/6 = 42/6
CANCEL out: 6/6 because it give you 1
KEEP: 42/6 because it gives you the x-value
NEW EQUATION: x = 42/6
SIMPLIFY IT!
x = 7
Therefore, your answer is: x = 7
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A parallelogram has one angle that measures 143. What are the measures of the other three angles in the parallelogram?
Answers
1. 1.7, 0.9, 1.07, 1.9, 0.7
6. 3.21, 3.021, 3.12, 3.121
2. 2.0342, 2.3042, 2.3104, 2.4 7. 5.5, 5.059, 5.0090, 5.05
3. 5, 5.012, 5.1, 0.502
8. 0.09, 0.012, 0.0089, 0.0189
4. 0.6, 0.6065, 0.6059, 0.6061 9. 1.3, 1.309, 1.03, 1.39
5. 12.9, 12.09, 12.9100, 12.9150 10.4.01, 4.0011, 4.011, 4.101
Answers
Answer:
3
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes _________ the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more _________, which could potentially __________ the number of car accidents.
a. decrease; carefully; increase
b. decrease; recklessly; increase
c. increase; recklessly; increase
d. decrease; carefully; decrease
Answers
Answer:
a. decrease
b. recklessly
c. increase
Step-by-step explanation:
Suppose the large number of auto accidents in a small town results in new legislation that requires all citizens of the town to install new anti-lock brakes on their cars. These new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collisions with other cars and pedestrians more easily. The new brakes decrease the probability that a vehicle will collide with another vehicle but also give drivers an incentive to drive more recklessly which could potentially increase the number of car accidents.
Because the new brakes cut the time it takes a car to stop by 50%, allowing drivers to avoid collision easily, drivers may become confident and drive recklessly which could potentially increase the number of car accidents
rewrite 15 ^ 1/3 in radical form
Answers
Answer:
The answer will be [tex]\sqrt[3]{15}[/tex]
The required radical expression ∛15 is equivalent to the given expression [tex](15)^{1/3}[/tex].
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The expression is given in the question, as follows:
[tex](15)^{1/3}[/tex]
We have to determine the equivalent expression in radical form.
As per the question, we have
[tex](15)^{1/3}[/tex]
This can be also written as:
∛15
Thus, the radical expression ∛15 is equivalent to the given expression.
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The value of x in this system of equations is 1.
3x + y = 9
y = –4x + 10
What is the value of y?
Answers
If you need and explanation let me know
Which statement about the graph y=3x+5 is correct?
Answers
Answer: D
Step-by-step explanation:
D is the only one that states the correct slope
A:3
B:4
C:16
D:48
Answers here if you can’t see this
Answers
Answer:
the answer is three
Step-by-step explanation:
48 divided by 16 is 3
Drag the numbers to create three ratios that are equivalent to 4:12.
Numbers can only be used once.
Pls help
Answers
For addition, drag tiles onto the board.
To form a group, place one tile on top of another.
What is the sum of -2 and -7?
Board sum: 0
Reset
Answers
Answer:
-9
Step-by-step explanation:
The sum of -2 and -7 is given as follows;
-2 + (-7)
In mathematical operations, + * - is -.
So we have;
-2 - 7
This gives us: -9
Answer:
10
Step-by-step explanation:
im on enginuity leson multiplying with intager tiles qestion 4
Write and algebraic expression , Twice a number n
Answers
Answer:
2(n) or 2n
Step-by-step explanation:
.................
express each ratio as a fraction in simplest form 6min to 1 hour
Answers
Answer:
1/10
Step-by-step explanation:
6 goes in 10 times into 60 :)
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answers
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
Math practice
Will give brainest if correct
Answers
Answer:
x > 24
Step-by-step explanation:
12 + 12 = 24
A bike messenger earns $60 per day plus $12 per delivery. Today the messenger wants to earn at least $204.
Which inequality represents the number of deliveries, n, the bike messenger needs to make to earn at least $204?
Answers
Answer:
72
Step-by-step explanation:
First you do 204 - 60 = 144
Than you do 144 ÷ 2 = 72
Hope this helps!
If the surface of the water is at an elevation 0 meters, which person is located at an elevation
of -10 meters?
Noa, who is floating on his back in the water 10 meters behind a boat
Jace, who is exploring a cave that is 10 meters below the surface of the water
Marcus, who is swimming 10 meters below a bird flying overhead
Eleni, who is standing on a pier 10 meters above the surface of the water
Answers
Jace, who is exploring a cave that is 10 meters below the surface of the water is at - 10 meters.
What is elevation of - 10 meters ?Elevation of - 10 meters means we have to go down 10 meters.
According to the given question the surface of the water is at an elevation 0 meters, which person is located at an elevation of -10 meters.
- 10 meters means below 10 meters of the surface of the water.
Reading through options we observe that Jace, who is exploring a cave that is 10 meters below the surface of the water is -10 meter below the surface of water because, Water level it at 0 and the cave is below 10 meter to that so an expression can be formed as
0 - 10 = -10.
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PLS HELP GUYS I CRY BECAUSE DON’T UNDERSTAND THIS 2 SLIDES
Answers
Answer:
12 45 785 96
Step-by-step explanation:
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.
A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?
A. 4 rolls
B. 10 rolls
C. 12 rolls
D. 14 rolls
Answers
Answer:
4 rolls
Step-by-step explanation:
Area of the wall = 12 *14 = 168 square feet
1 roll = 42 square feet.
x roll = 168
1/x = 42/168 Cross Multiply
42x = 168 Divide by 42
x = 168/42
x = 4 rolls
Answer:
12 rolls
Step-by-step explanation:
Complete the following statement.
alb and bic so a [?]
А
B
С
neither
Answers
Answer:
B option is right
Step-by-step explanation:
These 3 will form a 3d system.
The correct option is A) parallel.
When two lines are perpendicular to the same line, they are parallel to each other.
In this case, a is perpendicular to b, and b is perpendicular to c. Therefore, a and c are parallel to each other.
To understand this, consider a scenario where a, b, and c represent three different lines:
Line a is perpendicular to line b.
Line b is perpendicular to line c.
Since line a is perpendicular to line b, it forms a right angle with line b. Similarly, line b is perpendicular to line c, forming a right angle with line c.
Now, imagine that line a and line c are not parallel.
In that case, they would intersect at some point, and we would have two perpendicular lines (a and b) intersecting at a third perpendicular line (b and c), which is not possible.
So, to maintain the condition that both a and b are perpendicular to the same line (b), we can conclude that a and c must be parallel to each other.
Hence, the correct option is A) parallel.
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y
∝
√
x
If
y
=
56
when
x
=
49
find,
y
when
x
=
81
Answers
---------------------
Step-by-step explanation:
6x = 5y
x = 49
y = 81
given
56/49
A large lemonade container at a party holds 9 liters of lemonade. About how many gallons of lemonade does the container hold? ( 1 liter=0.264 gallon )
Answers
it will be 2.4 gallons
help will mark brainiest
Answers
Answer:
I'm pretty sure the rides are 140 yards away from restrooms.
Step-by-step explanation:
Both triangles are similar, and since the first triangle both have 112 yards on the sides, you can only assume that the second triangle would be similar too, but instead being 112 yards, it would be 140 yards.
Hope this helped!
5th grade pls help ik my pfp is my face but I look like a different grade
Answers
Answer:
18
Step-by-step explanation:
First, you divide the 10 and the 5, which leaves you with 2. Then you do 15-2+5 from left to right, and it equals 18.
(hope this helps...brainliest??)
can somebody help with this
Answers
Answer:
C)8
plz mark as brainliest
Answer:
c) 8
Step-by-step explanation:
Hope it helps. Pls mark as brainlest
an=-3+5(n-1) written in function form
also whats the y intercept?
Answers
Answer:
written function is 5n-8
Step-by-step explanation:
there is no y-intercept
Hope this helps
Please help ASAP !!
Answers
Answer: surface area is 215.27; volume is 297.1
Step-by-step explanation:
you have to find the radius first, c = 2(pi (3.14))r, the formula for surface area is 4(pi(3.14)r^2, the formula for volume is 4/3(3.14(pi))r^3
To determine a student’s grade, a teacher throws out the lowest grade obtained on 5 tests, averages the remaining grades, and round up to the nearest integer. if betty scored 75, 90, 88, 72, and 86 on her tests, what grade will she receive?
Answers
Answer:
85
Step-by-step explanation:
add 4 values, excluding 72 (lowest grade)
total = 339
average = 330/4 = 84.75
84.75 rounding to nearest integer is 85
If a Canada goose completes a $2400$-mile migration in exactly $13$ days and $8$ hours, then what was her average speed for the whole trip in miles per hour?
Answers
Answer:
7.5 MPH
Step-by-step explanation:
total hours = 320
total distance = 2400
2400/320 = 7.5mph
Leon is interested in the relationships among geographic region and political affiliation. Leon collected data about the political parties of US senators at that time and the regions of the US that they represent. His results are in the table below.
Answers
Answer: Given that the senator is an independent, it is certain that the senator represents the north east
Answer 2: given that the senator represents the southeast, it is likely that the senator is in the Republican Party
Step-by-step explanation: I did the khan and trial and error
Answer:
Step-by-step explanation:there are 2 answers C and D
Lol I need help agin
Answers
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7