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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
Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!
Answers
Answer:
Monthly salary = $3450
Step-by-step explanation:
In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.
It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.
ATQ,
[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]
Hence, her salary for the month is $3450.
Salary of Maria for the month is $3,450
Given that;
Amount of item sold by Maria = $23,000
Percentage of commission = 15%
Find:
Salary of Maria for the month
Computation:
Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission
Salary of Maria for the month = $23,000 × 15%
Salary of Maria for the month = $3,450
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https://brainly.com/question/19193145?referrer=searchResults
The manager of a restaurant determined that the odds against a customer ordering dessert are 11/12 . What is the probability of a customer ordering dessert?
Answers
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
The inverse of a function is a function. True or False
Answers
Answer:
false
Step-by-step explanation:
Answer:
TrueStep-by-step explanation:
The inverse of a function may not always be a function! The original function must be a one-to-one function to guarantee that its inverse will also be a function.
If the graph does not pass the Horizontal Line Test, then the graphed function's inverse will not itself be a function
ax+6=15 a is a negative, what must be true about x?
Answers
Answer:
x= 9/a
Step-by-step explanation:
Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5? Why?
a. The matrix must have nothing pivot columns. If A had fewer pivot columns, then the equation A would have only the trivial solution.
b. The matrix must have nothing pivot columns. The statements "A has a pivot position in every row" and "the columns of A span " are logically equivalent.
c. The matrix must have nothing pivot columns. Otherwise, the equation A would have a free variable, in which case the columns of A would not span .
d. The columns of a 57 matrix cannot span because having more columns than rows makes the columns of the matrix dependent
Answers
Answer:
The answer is "Option B".
Step-by-step explanation:
In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.
In the given question, If the column of [tex]5 \times 7[/tex] matrix, and the A span is equal to [tex]R^5[/tex], and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.
2/3 divided by ? = 6/8 ASAP
Answers
Answer: 1/72 in decimal form 0.01389
Step-by-step explanation:
Answer:
im pretty sure it is 8/9
Step-by-step explanation:
6/8 x 8/9 =2/3
What is the probability of scoring a total of 6
Answers
A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase I and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m = 5? Repeat these calculations for the cases where m = 10, m = 20, m = 30, and m = 50.
Required:
Discuss the results that you have obtained.
Answers
Answer:
The solution to the issue is outlined in the following portion of the summary.
Step-by-step explanation:
The given value is:
p = 0.0027
When m = 5,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 5C0 (0.0027)^0 (1 - 0.0027)^5[/tex]
[tex]= 1 - 0.9866[/tex]
[tex]=0.0134[/tex]
When m = 10,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 10C0 (0.0027)^0 (1 - 0.0027)^{10}[/tex]
[tex]=1 - 0.9733[/tex]
[tex]= 0.0267[/tex]
When m = 20,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 20C0 (0.0027)^0 (1 - 0.0027)^{20}[/tex]
[tex]=1 - 0.9474[/tex]
[tex]=0.0526[/tex]
When m = 30,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]=1 - 30C0 (0.0027)^0 (1 - 0.0027)^{30}[/tex]
[tex]=1 - 0.9221[/tex]
[tex]=0.0779[/tex]
When m = 50,
⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]
[tex]= 1 - 50C0 (0.0027)^0 (1 - 0.0027)^{50}[/tex]
[tex]= 1 - 0.8736[/tex]
[tex]=0.1264[/tex]
Triangle ABC is shown below.
What is the length of line segment AC?
A
A
O 7
O 9
2x
3x-7
O 14
O 18
B
4x - 10
с
Answers
Answer:
the answer is 14 C
Step-by-step explanation:
just took the test?
Write the decimal represented by each shaded square.
Answers
Answer:
1
Step-by-step explanation:
because all of the squares are shaded so it would be 1 whole
PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP
Answers
Answer:
y = -3x + 3
Step-by-step explanation:
Slope = -3
y-intercept = 3
Substitute values into slope intercept form :
y=mx + b
Where :
m= Slope
b = y-intercept
[tex]y = - 3x + 3[/tex]
What is 86.929 rounded to the nearest tenth ?
Answers
Answer:
86.9
Step-by-step explanation:
This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.
Divide.
636-3
The quotient is
and the remainder is
Answers
Answer:
212
Step-by-step explanation:
3 goes into 6 = 2 times
3 goes into 3 = 1 time
3 goes into 6 = 2 times
2 → 1 → 2 = 212
P. S pls mark as brainliest
NEED HELP WITH MATH! Will Give Brainliest! Image is below.
Answers
Answer:
2
Step-by-step explanation:
PLEASE HEELP
Match the inverse, converse, contrapositive, and biconditional with their sentences.
Conditional Statement: If two angles are congruent, then they have the same measure.
Question 1 options:
converse
biconditional
inverse
contrapositive
1.
If two angles have the same measure, then they are congruent.
2.
If two angles are not congruent, then they do not have the same measure.
3.
If two angles do not have the same measure, then they are not congruent.
4.
Two angles are congruent if and only if they have the same measure.
Answers
Answer:
First, let's define each case:
A conditional statement is:
If P then Q.
P = hypothesis
Q = conclussion.
Converse: If Q then P.
Biconditional: P if and only if Q.
Inverse: If not P, then not Q.
Contrapositive: If not Q, then not P.
Our statement is:
"If two angles are congruent, then they have the same measure."
P = two angles are congruent.
Q = they have the same measure.
Now let's look at the options:
1) If two angles have the same measure, then they are congruent.
or: if Q then P, this is converse.
2) If two angles are not congruent, then they do not have the same measure.
or: If not P, then not Q, this is inverse.
3) If two angles do not have the same measure, then they are not congruent.
or: If not Q, then not P, this is the contrapositive.
4) Two angles are congruent if and only if they have the same measure.
or: P if and only if Q, this is biconditional.
x=4/9,y=1/2, and z=3/5 6wy-3z
Answers
Answer: The answer would be - 7/5 or (-0.46)
Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.
If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?
Answers
Answer:
Step-by-step explanation:
60-10=50
they washed 50 cars.
Translate subtract 10 from r, then subtract 4 from the result
Answers
Answer:
reste 10 de r, luego reste 4
Step-by-step explanation:Lets say the result is x x is a letter driving from spain so x=Spanish so translating that sentence to spanish is easy
Answer:
-r+6
Step-by-step explanation:
Picture is it............
Answers
In this triangle the three interior angles are = ∠82° , ∠54° and ∠x .
Then ;
∠82° + ∠54° + ∠x = 180° ( under angle sum property which says that the sum of the three interior angles of a triangle is equal to 180° )
= 136 ° + x = 180
= x = 180 - 136
= x = 44°∠x and ∠y will sum up to 180° as they are a linear pair .
= 44° + y = 180
= y = 180 - 44
= y = 136°Since ∠y and ∠z are vertically opposite angles their angle measure will be equal . Which means ;
= ∠y = ∠z
= 136° = ∠z
= ∠z = 136°Therefore :-
The value of x = 44°Keiran wants to save $56 for a gift for his mother’s birthday in 14 weeks. How much money must he save each week?
Answers
The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx
CORRECT ANSWER = BRAINLEIST
Answers
Answer:
5
Step-by-step explanation:
7*5=35
12*5=60
20*5=100
Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle
Answers
Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
Please help me!!! ASAP!
Answers
Option C
Olivia paid $ 15683.28 after 8 years
How do you solve this? Without going into anything to complicated as this should be Year 10 maths
Answers
Given : ABCD is a square with each side 5cm .
To Find : The area of the shaded region .
Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .
If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.
Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;
[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]
Here radius will be equal to 5cm .
⇒ Area = πr² / 4 .
⇒ Area = π (5cm)² / 4 .
⇒ Area = 22/7 × 25 × 4 cm².
⇒ Area = 19.64 cm² .
So , total area of both quadrants = 39.28 cm² .
Also , area of square will be :
[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]
⇒ Area = 5cm × 5cm .
⇒ Area = 25 cm².
Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².
Similarly area of other white region = 5.36cm² .
And the areas sum will be = 5.36cm² × 2 = 10.72cm² .
Now , from the figure it's clear that ,
⇒ Area of unshaded region + Area of shaded region = 25cm².
⇒ 10.72cm² + ar( Shaded region ) = 25cm².
⇒ ar ( Shaded region ) = 25cm² - 10.72cm².
⇒ ar ( Shaded region ) = 14.28 cm².
Hence the area of shaded region is 14.28 cm².
[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]
Change 3.5 decimal into a percent
Answers
Like out of 100? Then it would be 3.5%
The answer you're looking for is: 350%
(Tell me if i'm wrong please)
15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate
Answers
Answer:
If 10 men dig a ditch in 12 days .
Total man-days required to dig the ditch
= 10 men × 12 days
= 120 man-days
how long would 15 men take to dig it?
No of days required to finish the job by 15 men
= 120 men-days / 15 men
= 8 days
Answer: 8 days will be required to finish the job by 15 men
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
A florist must make 5 identical
bridesmaid bouquets for a wedding. The budget is
$160, and each bouquet must have 12 flowers. Roses
cost $2.50 each, lilies cost $4 each, and irises cost
$2 each. The florist wants twice as many roses as the
other two types of flowers combined.
Answers
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
A survey of 120 college students is conducted and the results displayed below show that 80 students have a smartphone, 65 have a tablet, and 10 have neither. Fill in the empty table cells in the two-way frequency table.
Smartphone No Smartphone Total
Tablet 65
No Tablet 10
Total 80 120
What is the probability (rounded to the nearest whole percent) that a randomly selected college student has a tablet but not a smartphone? (4 points)
a
25%
b
30%
c
54%
d
38%
Answers
Answer:
the answer is 54 %
Step-by-step explanation:
divide 120/65=0.54, then since you're looking for the percent you multiply it by 100, and the answer would be 54%
Whats the function to this math prob
Answers
Answer:
some reason i cant see the image is this just me
Step-by-step explanation:
Y is the vertical distance. The top of the curve is at y = 4 and the bottom of the curve is at y = -5, so the function would be between y -5 and y 5 which is written as :
D. -5 <= y <= 5
not sure need help
Answers
Answer:
0.0078 or 7.8*10^-3
Answer:
7.8 * 10 ^-3
Step-by-step explanation:
( 1.3* 10 ^-5) ( 6 * 10^2)
Multiply the numbers
1.3 * 6 = 7.8
Multiply the exponent terms, remembering we add the exponents, when we multiply
10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3
Put them back together
7.8 * 10 ^-3
Since this is in scientific notation, we are don