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Try solving the following problem
In a group of 120 students, 68 had ridden a bus, 78 had ridden the LRT. 33
had ridden a jeep, while 40 had ridden both the bus and the LRT, 20 had ridden
the bus and the jeep, 19 had ridden the LRT and the jeep and 15 had ridden the
bus, the LRT and the jeep.
a. How many had ridden the bus only?
b. How many had ridden the LRT only?
c. How many had ridden the jeep only?
d. How many did not ride on any of the three modes of transportation?
Answers
Answer:
A.) bus only = 23
B.) LRT only = 34
C.) Jeep only = 9
D.) 5
Step-by-step explanation:
Let :
B = bus ; J = Jeep ; L = LRT
KINDLY CHECK ATTACHED PICTURE FOR DETAILED EXPLANATION
A set is a group of related item.
34 had ridden on LRT only23 had ridden on bus only9 had ridden on jeep only5 did not ride on anyLet:
[tex]Total =120[/tex]
[tex]B = 68 \to Bus[/tex]
[tex]L = 78 \to LRT[/tex]
[tex]J =33 \to Jeep[/tex]
[tex]n(B\ n\ L) = 40[/tex]
[tex]n(B\ n\ J) = 20[/tex]
[tex]n(L\ n\ J) = 19[/tex]
[tex]All = 15[/tex]
(a) Bus only
This is calculated using:
[tex]B\ only = B - n(B\ n\ L) - n(B\ n\ J) + All[/tex]
So, we have:
[tex]B\ only = 68 - 40 - 20 + 15[/tex]
[tex]B\ only = 23[/tex]
(b) LRT only
This is calculated using:
[tex]L\ only = L - n(B\ n\ L) - n(L\ n\ J) + All[/tex]
So,
[tex]L\ only = 78 - 40 - 19 + 15[/tex]
[tex]L\ only = 34[/tex]
(c) Jeep only
This is calculated using:
[tex]J\ only = J - n(B\ n\ J) - n(L\ n\ J) + All[/tex]
So, we have:
[tex]J\ only = 33 - 20 - 19 + 15[/tex]
[tex]J\ only = 9[/tex]
(d) None
Let x represents those that took none of the means of transport.
So, we have:
[tex]Total = B\ only + J\ only + L\ only + [n(B\ n\ L) -All] +[n(B\ n\ J) -All] +[n(L\ n\ J) -All] + All + x[/tex]
This gives
[tex]120= 34 + 23 + 9 + [40 -15] +[20 -15] +[19 -15] + 15 + x[/tex]
[tex]120= 115 + x[/tex]
Collect like terms
[tex]x = 120 - 115[/tex]
[tex]x = 5[/tex]
See attachment for the Venn diagram of the set.
Read more about sets at:
https://brainly.com/question/7013716
Related Questions
f(x) = 4x + 3 and g(x) = x - 2
Solve:
g(f(x)) =
Answers
Answer:
I don't know i just came to get the 20 points THX
Step-by-step explanation:
You should ask your teacher
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below.
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which of the following test is appropriate for Dean's hypothesis?
a. One-way ANOVA
b. Paired samples t- test
c. One sample t- test
d. Independent samples t-test
Answers
Answer:
Paired samples t- test is appropriate for Dean's hypothesis
Step-by-step explanation:
Given Data :
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
We are supposed to find the test which is appropriate for Dean's hypothesis
We are given the grades of two different subjects for same student
We perform the paired t test because the final grades for the Marketing and Finance is taken for the same student.
So, Option B is correct
Hence Paired samples t- test is appropriate for Dean's hypothesis
Round number to the underline digit 45.398 The underline digit is 3.
Answers
If the 3 is underlined, look at the 9 and tell if the 3 should be rounded up or down. 9 is greater than 5 so that means that it will round up. You will then be left with 45.40
Hope this helps!
Can someone help pls :)
Answers
Answer:
21,42,63,84,105
Step-by-step explanation:
Answer:
21x1=21
21x2=42
21x3=63
21x4= 84
21x5=105
Step-by-step explanation:
g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.
Answers
Answer:
Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.
Step-by-step explanation:
Central theorem:
Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies. Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.Statement:
If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]
standard deviation = [tex]\sigma[/tex]
After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which
mean = [tex]\mu[/tex] and
default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]
There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?
Answers
Answer:
32 inches
Step-by-step explanation:
Because height times width equals area,
we can divide 112 by 3.5 to get the width
So it is 32 inches
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answers
Answer:
270 miles and 180 minutes
Step-by-step explanation:
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9. Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24. Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answers
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
honestly what is better being happy or making other people happy?
Answers
Answer:
being happy j
Step-by-step explanation:
step by step explaination
Answer:
well for me it is both because i am only happy when everyone else around me is also happy
Step-by-step explanation:
Candice skipped 12 m in 3 seconds. What was her speed in m/s?
Answers
Answer:
4 m/s
Step-by-step explanation:
Take the number of meters and divide by the number of seconds
12 m/3s
4 m/s
There is 3 questions help asap
Answers
A rickshaw company counted 39 ticket receipts last week. The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week. Let x represent the number of weekend tickets and y represent the number of weekday tickets. Which system of equations represents the situation
Answers
Answer:
x+y = 39 and 14y+19=666
Step-by-step explanation:
Let x is the no of tickets for the weekend and y for the weekday.
The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week.
Equation (1) should be :
x+y = 39 (because a rickshaw company counted 39 ticket receipts last week)
Equation (b) should be :
7y+9.5=333
Multiplying both sides by 2.
14y+19=666
Hence, the two equations that represent the situation are :
x+y = 39 and 14y+19=666
Answer: y = -x + 39
14y = -19x + 666
Step-by-step explanation:
There are two relationships given in the question. These are the number of tickets sold and the cost of the tickets sold. The total number of weekend and weekday ticket receipts is 39. This gives the equation x+y=39. Solving this equation for y gives y=−x+39. Now, we write an equation for the cost of the tickets sold. A weekday ticket costs $7, a weekend ticket costs $9.50, and the total money collected was $333. This gives the equation 7y+9.5x=333. Multiplying both sides by 2 to clear the decimal gives 14y+19x=666. This is equivalent to 14y=−19x+666.
Find the value of x. 4^3 = x
Answers
Answer:
x=64
Step-by-step explanation:
I’m not well with percentages lol. Can someone help me with solving it and answer
Answers
Answer:
1. Dracula Answer: D) 12.5%
2. Jack-O-Lantern Answer: D) 40%
Step-by-step explanation:
1. 54 - 48 = 6
6/48 = 0.125 x 100 = 12.5%
2. $20 - $12 = 8
8/20 = 0.4 x 100 = 40%
PLEASE HELP!!! i’ll give brainliest
Answers
Answer:
x = [tex]\sqrt{164[/tex]
Step-by-step explanation:
In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].
Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards
Answers
Answer :1,760 1,760 1,760 1,760 1,760
Answer:
The distance between Kevin's school and his house is 9,152 yards
Step-by-step explanation:
Units Conversion
Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.
There are fixed numbers to convert one into another. For example:
1 mile = 1,760 yards
Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:
5.2 * 1,760 = 9,152
The distance between Kevin's school and his house is 9,152 yards
Help me find the slope of this problem ??
Answers
(0,15) (2,9)
9-15/2-0= -6/2= -3
Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answers
Answer:
Step-by-step explanation:
9kg
Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x
Answers
Answer:
It would be C and E
Step-by-step explanation:
I know I'm extremely late but for anyone else who needs to know here you go :)
!!!!HELPPPPPPPP ASAP!!!!
Answers
Answer:
first one is -1
second one is 0
third one is 6
last one is 2
Step-by-step explanation:
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed? 18 divided by StartFraction 2 Over 9 EndFraction = 81 18 times StartFraction 2 Over 9 EndFraction = 4 StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth
Answers
Answer:
1/4
Step-by-step explanation:
9 divide by 18= 1/4
Greatest common factor of 36
Answers
Answer:
1,2,3,4,6,9,12,18, 36
Step-by-step explanation:
18 is the GCF of 36.
You can't multiply any other number with its 2 to be 36.
So 18 x 2 =36
Question 1
In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.
Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your ans
Answers
Answer and Step-by-step explanation:
Part A: Exponential equation is the "opposite" of logarithmic equation, so:
[tex]y=log_{b}m[/tex]
[tex]b^{y}=m[/tex]
Part B: Using log with base c:
[tex]log_{c}b^{y}=log_{c}m[/tex]
Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:
[tex]ylog_{c}b=log_{c}m[/tex]
Solving for y:
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform
[tex]y=log_{b}m[/tex]
into
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part D: [tex](log_{3}z)(log_{z}27)[/tex]
Change of base will be:
[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]
[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]
Solving:
[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = 3
Part E: [tex]log_{7}300[/tex]
Using change of base:
[tex]log_{7}300=\frac{log300}{log7}[/tex]
[tex]log_{7}300=\frac{2.48}{0.85}[/tex]
[tex]log_{7}300[/tex] ≈ 3
If the probability that it will rain tomorrow is 0.39 what is the probability that it will not rain tomorrow
Answers
Answer:
0.61
Step-by-step explanation:
probability is out of 100 so if you do 100-39
you get 61
helllllpppppp pleasxee huryyyyy
Answers
Answer:
Bottom left
Step-by-step explanation:
Function: each x only has one y, and this is the only graph that fits the description
explicit form of x^2 - y^2 = 25
Answers
Answer: x - y = 5
Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
Answers
Answer:
2 mi per hour
Step-by-step explanation:
1/3*6=
6/3= 2
2 mi per hour
Answer:
2mph
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.
[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:
[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]
The person is walking 2mph
Specially equipped c argo planes and helicopters help "attack" wildfires by dropping flame retar dant chemicals and water True o False
Answers
Answer:
True
Step-by-step explanation:
Expression to the same value as 10 to the power of six
Answers
Answer:
10+10+10+10+10+10=1000000
Step-by-step explanation:
i mark as brainliest
Answers
Answer:
195
Step-by-step explanation:
Hope This Helps!