KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answers
Answer:
a. 15 students
b. 32 students
c. 35 students
d. 34 students
e. 55 students
f. 67 students
Step-by-step explanation:
See attachment for complete question
Solving (a): Tricycle, Motorcycle and Car
This is the intersection of Tricycle, Motorcycle and Car.
From the attached Venn diagram, there are 15 students in this category
Solving (b): Tricycle and Motorcycle.
This is the intersection of Tricycle and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]
[tex]All = 15[/tex]
[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]
[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]
[tex]Tricycle\ and\ Motorcycle = 32[/tex]
Solving (c): Car and Motorcycle.
This is the intersection of Car and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Motorcycle\ only = 20[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]
[tex]Car\ and\ Motorcycle = 15 + 20[/tex]
[tex]Car\ and\ Motorcycle = 35[/tex]
Solving (d): Car and Tricycle.
This is the intersection of Car and Tricycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Tricycle\ only = 19[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]
[tex]Car\ and\ Tricycle = 15 + 19[/tex]
[tex]Car\ and\ Tricycle = 34[/tex]
Solving (e): Car only
From the attached Venn diagram, we observe the following data:
[tex]Car\ only = 55[/tex]
Solving (e): Motorcycle only
From the attached Venn diagram, we observe the following data:
[tex]Motorcycle\ only = 67[/tex]
Related Questions
Anita is baking dinner rolls and pumpkin bread. She needs 4 cups of flour for the rolls. She needs at least 7 cups of flour left for the pumpkin bread. Write
and solve an inequality to determine how much flour Anita needs before she
starts baking.
Answers
Answer:
x-4>=7
Step-by-step explanation:
x- how much flour needed at the start
x-4 used for rolls
Which expression is equivalent to |-5| + |3|?
Answers
Answer:
5+3 =8
Step-by-step explanation:
absolute value
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answers
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
find the 13 term
7 la For the sequence 11,13,15,17
Answers
i need help solving for x
Answers
Ask if you didnt get it.
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answers
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:
a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________
Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.
Answers
Answer:
1. 0.1795
2. 0.1693
3. 0.1657
4. 0.1606
Step-by-step explanation:
This problem was solved using the binomial distribution
1.
N = 30
P = 6/30 = 0.2
Using binomial distribution
30C6 x 0.2⁶ x 0.8²⁴
= 593775 x 0.000064 x 0.004722
= 0.1795
2.
N = 60
P = 6/60 = 0.1
60C6 x 0.1⁶ x 0.9⁵⁴
= 50063860 x 0.000001 x 0.00338139
= 0.1693
3.
N = 100
100C6 x 0.06⁶ x 0.94⁹⁴
= 1192052400 x 0.000000046656 x 0.00297864
= 0.1657
4.
Poisson distribution was used here
e^-6(6)⁶/6!
= 0.1606
30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm
Answers
Answer:
B
Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B
The length of the new line segment A'B' will be D) 15 cm.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given a line segment AB is dilated with a scale factor of 1.5.
Assuming the line segment has a length of 10 units.
∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'
it will be 1.5(10) = 15 units.
learn more about transformation here :
https://brainly.com/question/11709244
#SPJ2
Find the percent of:
17% of 155 and.....
24% of 780
Answers
Answer:
17% of 155 is 26.35
24% of 780 is 187.2
What is 6cm into inches
Answers
Answer:
2.3622
Step-by-step explanation:
Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
Answers
Answer:
35-2(6)
= 23
Prime number
Step-by-step explanation:
Answer:
23 . It is a prime number.
Step-by-step explanation:
[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]
Simplify
[tex]23[/tex]
Your brother won 7 packages of colored candies with 24 pieces each. According to manufacture. For each 1 blue piece produced. The company makes 3 brown. 2 yellow. 2 red. 1 orange and 1 green. How many of each color do you expect to find in your brothers candy?
Answers
Answer:
16.8 or 17 blue
50.4 or 50 brown
33.6 or 34 yellow
33.6 or 34 red
16.8 or 17 orange
16.8 or 17 green
Step-by-step explanation:
7 x 24 = 168 candies
blue = b
brown = w
yellow = y
red = r
orange = o
green = g
1b = 3w + 2y + 2r + 1o + 1g
1 +3 + 2 + 2 + 1 + 1 = 10
168/10 = 16.8
1(16.8) +3(16.8) + 2(16.8) + 2(16.8) + 1(16.8) + 1(16.8) =
16.8 blue
50.4 brown
33.6 yellow
33.6 red
16.8 orange
16.8 green
The ___ is the part of the neuron that carries information away from the cell body.
Answers
Answer:
axons
Step-by-step explanation:
The axons is the part of the neuron that carries information away from the cell body.
Answer: axon
Step-by-step explanation:
I just know cause I'm a different breed
The equation 5y=6 represents purchasing 5 tubs of yogurt for $6 In this
equation, what does the solution represent?
Answers
$6-how much the yogurt costed in total
if x=2+ root 3 then find the value of (x-1/x)^3
HELP ASAP
Answers
Answer:
10 and ten-elevenths
Step-by-step explanation:
x = 2 + _/3
(x-1/x)^3
(2+_/3)^3 - (1÷2+_/3)^3
= (8 + 3) - 1 ÷ (8 + 3)
= 11 - 1/11
= 10 10/11
There are 252 players on 18 teams. How many players are on each team?
Answers
Answer:
14
Step-by-step explanation:
252 divided by 18 = 14
hope this helps! :D
PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!
Answers
no matter what answer i put in it always tells me I'm wrong so can someone actually help
Answers
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]
Helpp thanksssss........
Answers
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True
Answers
Answer: Always true
Step-by-step explanation:
Whole numbers including 0 are always integers
Is a 70 a bad grade on a math test?
Answers
Answer: in my opinion is better than an F
Step-by-step explanation:
• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?
Answers
Answer:
addition sentence is 6+6+6+6=24
multiplication sentence is 6×4=24
Step-by-step explanation:
hope this helps
Which figure shows the net of a rectangular pyramid?
Answers
Answer:
d
Step-by-step explanation:
. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Answer:
D
Step-by-step explanation:
The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answers
Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
Step-by-step explanation:
Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.
Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.
So we can already discard all the options with dilations.
Now, remember how the dilation works.
If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.
Notice that if the scale factor is equal to 1, then there is no change.
In the options, we have one where the scale factor is -1.
The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.
Then the only option that not dilates the triangle is:
Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
So this is the only transformation that results in a figure congruent to the triangle ABC
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16
Answers
Answer:
Step-by-step a) Simplify the expression and explain each step.
4(3x + 2) - 2
b) Factor the expression completely.
20b - 16
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Answers
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
Which expression is equivalent to (65) (62)?
о
610
615
Answers
Answer: 615
Step-by-step explanation:
If product of two numbers=384HCF=8,2cm=?
Answers
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
What is this variable? 3/4a — 6 = 4+3a
Answers
a= -40/9
Raise to the power: (–2abx)4
Answers
Answer:
(16a^4b^4x^4)
Step-by-step explanation: