The probability of total of 8 is 0.1389, the probability of at most a total of 5 is 0.2778.
A pair of fair dice is tossed.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Probability of event to happen
P(E) = Number of favourable outcomes [tex]/[/tex] Total Number of outcomes(a)) A total of 8 can be obtained with the following outcomes,
The sample space S contains n(S) = 36 elements when a pair of dice is tossed.
⇒{(2,6),(3,5),(4,4),(5,3),(6,2)} i.e. 5 outcomes.
⇒Required probability = [tex]\frac{5}{36}[/tex] = 0.1389
The probability of a total of 8 is 0.1389.
(b).
At most a total of 5 can be obtained with the following outcomes:
⇒{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(3,1),(3,2),(4,1)} i.e. 10 outcomes.
⇒Required probability =[tex]\frac{10}{36}[/tex] =0.2778
The probability of at most a total of 5 is 0.2778.
Therefore, the probability of total of 8 is 0.1389, the probability of at most a total of 5 is 0.2778.
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The majority of states have:
A.no income tax
B.a flat income tax
C.a progression income tax
D. a gross income tax
Option. C is correct. A progression Income tax.
What is income tax?Income tax is a type of tax that the central Government charges on the Income earned during financial year by the individuals and the Businesses.
The majority of states have a progression Income tax.
hence, the majority of state have a progression of Income tax.
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Answer:
(C)- Progressive income tax.
At this rate, how much would Cary earn for 55 hours of babysitting?
Answer:
if Cary works at 8 hours per hour, then she will have $440
Step-by-step explanation:
this is, if you are referring to your previous question about Cary making $56 in 7 hours.
What is the slope of the line shown below?
Answer:
you've gotta show us the slope so that we can help u
Can u help me answer this?
Thanks!
Answer:
190 trees
Step-by-step explanation:
38% of the plantings in the garden are trees. There are 500 plantings.
So we are looking for 38% of 500.
To find the percentage of a number, convert the percentage to a decimal and multiply:
38%=0.38
500*0.38=190
Hello, I need help!!!!?
Solve log base 2 of one over thirty two.
Answer:
Step-by-step explanation:
Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?
Aeschylus
Sophocles
Euripides
Aristophanes
Answer:
its b Sophocles
Step-by-step explanation:
got it right
Three yellow balls, two red balls and five orange balls are placed in a bag. Mark draws a ball out, and replaces it. He then picks another ball.
What is the probability that he gets at least one yellow ball?
Answer:
45
Step-by-step explanation:
because of me and I can send you a picture when
Someone help me it's due right now help please helpppppppp
Answer:
The answer is c
the line needs to start at $5 then go up in increments of $2 each hour after. Time is in 2 hour blocks, meaning each block should increase by $4
The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line.
Both triangles are along the slope of the line, so the slope for both triangles are the same.
Using two points on the slope you find that the slope is -1/4
The answer is:
It is fraction negative 1 over 4 throughout the line.
Which expression is equivalent to 4f/3÷1/4f
Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9).
P(E)= ____?
(Type an integer or a decimal. Do not round.)
Answer:
Step-by-step explanation:
With replacement
(1/10)^4
1/10000
0.0001
Without replacement
(1/10)(1/9)(1/8)(1/7)
1/5040
0.00019841269
When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
On a trip, a family travels 180 km in 2.5 h on the first day, 220 km in 4.4 h on the second day, and 88 km in 2.2 h on the third day. What was the average speed, in kilometers per hour, for the total trip?
Answer:
Step-by-step explanation:
180+220+88 = 488 km
2.5+4.4+2.2 = 9.1 h
(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour
write down the 3 integers, all the less than 25, whose range is 10 and
mean is 13
The three integers are
What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:
5 units,
3 units, or
6 units
Answer:
6 units is answer for it may be correct check it
Answer:
6
Step-by-step explanation:
Took the test on k12
The speed of the current in the river is 4 mph about travel 17 miles downstream with the current in the this river in the same time that it travels 9 miles upstream against the current find the speed of the boat in the Stillwater
Answer:
Step-by-step explanation:
b = speed of boat in still water
traveling downstream, the boat goes (b+4 miles)/hour.
traveling upstream the boat goes (b-4 miles)/hour.
Time to travel 17 miles downstream = 17 miles × (1 hour)/(b+4 miles)
Time to travel 9 miles upstream = 9 miles × (1 hour)/(b-4 miles)
17 miles × (1 hour)/(b+4 miles) = 9 miles × (1 hour)/(b-4 miles)
17/(b+4) = 9/(b-4)
cross-multiply denominators:
17(b-4) = 9(b+4)
17b - 68 = 9b + 36
8b = 104
b = 13 miles per hour
Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.
3
5
=
The decimal is
(select)
.
Answer:
3
Step-by-step explanation:
the answer is 3, you can also search up the answers on the internet or use an online calculator
Answer: Decimals are of different types based on the numbers that come after the decimal point. These types are terminating decimal numbers, non-terminating repeating decimals, recurring decimal numbers, and non-recurring decimal Numbers. The answer is 3, you can also search up the answers on the internet or use a calculator.
please help me thank you
Answer: the fully simplified version would be 8/x^5y^4
please help me asap!!
Answer:
1 square unit
Step-by-step explanation:
its easy
1 * 1 = 1
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?
1.) 2.73 ÷ 0.03
2.) 112 ÷ 0.16
3.) 48.86 ÷ 0.08
4.) 0.28 ÷ 0.4
5. 18.3 ÷ 6
I need solutions now
Answer:
1. 91
2. 700
3. 610.75
4. 0.7
5. 3.05
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___
Answer:
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6
Step-by-step explanation:
Sorry but its very simple question you need to try to do it by yourself
Answer:
6
Step-by-step explanation:
By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
According to an online survey by Harris Interactive for job site CareerBuilder, more than half of IT (information technology) workers say they have fallen asleep at work (InformationWeek, September 27, 2007). Sixty-four percent of government workers admitted to falling asleep on the job. Consider the following contingency table that is representative of the survey results.
Slept on the Job IT Professional Government Professional
Yes 155 256
No 145 144
1. Convert the contingency table into a joint probability table. (Round the intermediate calculations and final answers to 4 decimal places.)
2. What is the probability that a randomly selected worker is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
3. What is the probability that a randomly selected worker slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
4. If a randomly selected worker slept on the job, what is the probability that he/she is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
5. If a randomly selected worker is a government professional, what is the probability that he/she slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
6. Are the events "IT Professional and Slept on the Job" independent? Explain.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
[tex]Frequency\ total = 155 + 256 + 144 + 145 = 700;[/tex]
In point (1):
Now that it is possible to obtain the joint distribution as:
[tex]IT\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ G \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Total[/tex]
[tex]Yes \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{155}{700} = 0.2214\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{256}{700} = 0.3657 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5871\\\\No \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{145}{700} = 0.2071\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{144}{700} = 0.2057\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4128\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4285 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5714\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1[/tex]
In point (2):
Likely that now It (the IT column total throughout the table above) seems to be the random individual selected = 0.4285;
Here, 0.4285 is the necessary probability.
In point (3):
The way of its worker's sleep at work =0.5871 ( first row total in the above table )
Here 0.5871 was its required probability.
In point (4):
In this as employee slept at work, he is likely to also be from IT to be calculated with:
[tex]=\frac{\text{probability he was just an IT-former but was asleep at work}}{ \text{possibly he worked at work}}\\\\=\frac{0.2214}{0.5871} \\\\ =0.3771 \text{was its probability required here}.[/tex]
In point (5):
In an individual is also an official government, its chance of getting sleep at work is measured when:
[tex]= \frac{\text{Probability he is professional in business slept at work}}{\text{or that he is officially in business}} \\\\= \frac{0.3657}{0.5714}\\\\ = 0.6400 \text{is the required probability here}.[/tex]
In point (6):
[tex]\to P(IT) \ P(Yes) = 0.4285 \times 0.5871 = 0.2516 \\\\\to P(IT and Yes ) = 0.2214 \\\\[/tex]
Therefore, 2 cases aren't independent, because P(IT) P(Yes) is not the same as P(IT and Yes), which also implies that P(IT|Yes) is not the same as P (IT), therefore "[tex]\text{No because P("IT " | "Yes")} \neq P("IT")[/tex]" is correct.
Kaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub
Answer:
i dont get it
Step-by-step explanation:
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7
Step-by-step explanation:
y = mx + b
y = -7x + 7
this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
Answer:
56.548667764616276
Step-by-step explanation:
Multiply the diameter by pi.
C= 18 x 3.14159265
Hope this helps!
Bir okuldaki öğrencilerin
erkektir. Okulda 90 kız öğrenci
olduğuna göre kaç erkek öğrenci vardır?
Answer:
Soru gözükmüyor. Okulda kaç öğrenci var? Bunu söylersen çözebilirim.☺️
A coordinate grid is shown below:
Part A: Which point represents the origin? (2 points)
Part B: Starting from the origin, explain how to plot the following three points accurately:
(2, −2)
(−2, 1.5)
Please answer the question quickly, Thank you.
Answer:
I would need to see a coordinate plane in order to answer. Sorry
Step-by-step explanation: