Answer:
a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b) 0.3379 = 33.79% probability it actually is irregular
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability the detector will identify a random mile of roadway as irregular?
99% of 3%(it is irregular).
6% of 97%(false positive). So
[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.
Conditional probability:
Event A: Identified as irregular
Event B: It is irregular.
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]
99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]
0.3379 = 33.79% probability it actually is irregular
help fast please i’m bad with math
Answer:
FALSE, TRUE, FALSE, FALSE
Step-by-step explanation:
pi/2>2 - FALSE
3pi>9 - TRUE
2pi-1<5 - FALSE
pi+8<11 - FALSE
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
Stacy started with $40 In a savings account that earns 5% annually. How much interest will she get in one year?
Answer:
$2
Step-by-step explanation:
She procures 5% of $40 every year. To discover the amount she makes in 1 year, increase 5% and 40,40*5%.Convert 5% to a decimal by isolating by 100.5%/100=0.05 40*0.05=2
-8(n-5)= -2(4n+11)
SOMEONE PLEASE SOLVE IT PLEASEEEE
Answer:
Use papa math
Find the total surface area:
Answer:
612 cm²
Step-by-step explanation:
Total surface area = area of all the nets in that make up the shape
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 4 cm
Area = 2(10*4) = 80 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 17 cm
Area = 2(10*17) = 340 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 4 cm
W = 17 cm
Area = 2(17*4) = 136 cm²
✅Total surface area = 80 + 340 + 136 = 612 cm²
In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.
Answer:
his salary per game is 669,643
Step-by-step explanation:
The computation of the salary per game in the year 2009 is shown below
Given that
His salary in the year 2009 is 18,750,000
And, he pitched 28 games in the year 2009
Based on the above information
His salary per game is
= 18,750,000 ÷ 28 games
= 669,643
hence, his salary per game is 669,643
The same is relevant
Write an equation that you will use to solve for x. Solve for x.
Answer:
Step-by-step explanation:
7x + 5 = 215
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: -7
Step-by-step explanation: -7 x -7 equals 49
2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.
A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100
Answer:
C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-2, - 8)
Radius [tex] r=\sqrt {10}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]
[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Q2.
a) Is the equality √a^4 = a valid for all values of a? Explain.
Answer:
The equality is only true for [tex]a = 0\ and\ 1[/tex], not for all values
Step-by-step explanation:
Given
[tex](\sqrt a)^4 = a[/tex]
Required
Determine if it is valid
[tex](\sqrt a)^4 = a[/tex]
Evaluate the exponent
[tex](a^\frac{1}{2})^4 = a[/tex]
[tex]a^\frac{1*4}{2} = a[/tex]
[tex]a^2 = a[/tex]
Rewrite as:
[tex]a^2 - a = 0[/tex]
Factorize
[tex]a(a- 1) = 0[/tex]
[tex]a =0\ or\ a - 1 = 0[/tex]
[tex]a =0\ or\ a = 1[/tex]
The equality is only true for [tex]a = 0\ and\ 1[/tex], not for all values
give the correct triangle congruence theroen
What is the probability of choosing a red card or a face card from a deck of cards? Type your answer as a fraction.
The probability of choosing a red card or a face card from a deck of cards will be 19/26.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Then the probability of choosing a red card or a face card from a deck of cards will be
We know that there are 52 cards in a deck of cards.
Then the total event will be
Total events = 52
And we know that a face card means a king, queen, or jack.
And the favorable event will be
Favorable event of face card = 12
Favorable event of red card = 26
Then the probability will be
P = 12 / 52 + 26 / 52
P = 3 / 13 + 1 / 2
P = 19 / 26
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?
Answer:
the number of downloads of the standard version is 260
Step-by-step explanation:
Let us assume the downloads of the standard version be x
And, the download of the high-quality version be y
Now as per the question
2.5x + 4.4y = 4522 .........(1)
x + y = 1140
y = 1140 - x .......................(2)
Now put the value of equation 2 in the equation 1
So,
2.5x + 4.4 (1140 - x) = 4522
2.5x + 5016 - 4.4x = 4522
-1.9x = -494
x = 260
Hence, the number of downloads of the standard version is 260
Do the ratios 5/18 and 1/2 form a proportion?
Answer:
No they do not.
5/18 ≠ 1/2
If it did, it would be 9/18
Hope that helps!
Step-by-step explanation:
NEEED HELP ASAP PLEASE
Step-by-step explanation:
[tex]( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3[/tex]
A shark was swimming at 300 feet below sea level. He swam 300 feet up toward the surface. How many feet above sea level is the shark now?
Answer: the shark is at sea level
Step-by-step explanation: is you are 300 beneath the sea level that's -300 and if you go up 300 ft that +300. So 300+(-300) gives you 0 making the shark at sea level.
The area of a rectangle is 1,357 square feet. The length is 59 feet. What is the width?
Answer:
23
Step-by-step explanation:
1357/59
23
1357/59=23
:)
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What is a equivalent expression to 4(x+12)-3y
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answer:
Step-by-step explanation:
The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C
Answer:
Your answer would be A and B
Step-by-step explanation:
Simply look for the coordinates on the graph and look for the name of the lines that intersect there.
What is the slope of (2,3) and (5,-3)
Answer:
-2
Explanation:
Slope formula:
y2 - y1 ÷ x2 - x1
-3 - 3 = -6
5 - 2 = 3
-6 ÷ 3 = -2
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?
Answer:
Step-by-step explanation:
20 dude hahah
Plz help me well mark brainliest if correct!
Answer:
its C
Step-by-step explanation:
BRAINLIEST FOR CORRECT ANSWER ASAP
Answer:
A. 3x3x3x3 = 81 because you multiply 3 by itself 4 times
Answer:
it is 3×3×3×3=81 because it is said that
3 squared is 3×3 so I did the same tthing. hope it helps you good evening.
How many kilometers does Saturn travel in its orbit in one hour?
Answer:
Hey!! I found this online for you :)
Step-by-step explanation:
Saturn revolves or orbits around the Sun once every 29.4 Earth years, or once every 10,755.7 Earth days. Saturn travels at an average speed of 21,637 miles per hour or 34,821 kilometers per hour in its orbit around the Sun.
Hope this helps!
Have a nice day <3
Help mehhhh plz ASAP
Answer:75
Step-by-step explanation:2 1/2 is equal to 5 halves. If each half is equal to 15 then all you do is multiply 15 by 5
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
10 points
Question #5: At Faith's Fabulous Flowers, she uses 3 dozen roses in her
"perfect day" bouquet. If she charges $39.99 for the entire bouquet, what
is the cost per rose?
Your answer
Answer:
i need help on this question
Step-by-step explanation:
What is the solution to the inequality x2 + 5x ≥ 6?
Answer:
x ≤ –6 and x ≥ 1
Step-by-step explanation:
If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2