Answer:
(b) What is the probability that exactly two of the three friends will sit next
to each other?
7E-10 You and two of your friends are in a group of 10 people. The group is
randomly split up into two groups of 5 people each. Specify an appropriate
sample space and determine the probability that you and your two friends
are in the same group.
7E-11 You are dealt a hand of four cards from a well-shuffled deck of 52
cards. Specify an appropriate sample space and determine the probability
that you receive the four cards J, Q, K, A in any order, with suit irrelevant.
7E-12 You draw at random five cards from a standard deck of 52 cards.
What is the probability that there is an ace among the five cards and a king
or queen?
7E-13 Three balls are randomly dropped into three boxes, where any ball is
equally likely to fall into each box. Specify an appropriate sample space and
determine the probability that exactly one box will be empty.
7E-14 An electronic system has four components labeled as 1, 2, 3, and 4.
The system has to be used during a given time period. The probability
that component i will fail during that time period is fi
for i = 1, . . . , 4.
Failures of the components are physically independent of each other. A
system failure occurs if component 1 fails or if at least two of the other
components fail. Specify an appropriate sample space and determine the
probability of a system failure.
7E-15 The Manhattan distance of a point (x, y) in the plane to the origin
(0, 0) is defined as |x| + |y|. You choose at random a point in the unit square
{(x, y) : 0 ≤ x, y ≤ 1}. What is the probability that the Manhattan distance
of this point to the point (0, 0) is no more than a for 0 ≤ a ≤ 2?
7E-16 You choose at random a point inside a rectangle whose sides have the
lengths 2 and 3. What is the probability that the distance of the point to the
closest side of the rectangle is no more than a given value a with 0 < a < 1?
7E-17 Pete tosses n + 1 fair coins and John tosses n fair coins. What is the
probability that Pete gets more heads than John? Answer this question first
for the cases n = 1 and n = 2 before solving the general case.
7E-18 Bill and Mark take turns picking a ball at random from a bag con-
taining four red balls and seven white balls. The balls are drawn out of the
bag without replacement and Mark is the first person to start. What is the
probability that Bill is the first person to pick a red ball?
3
What kind of angles are angle 1 and angle 2?
13
A
O No Relationship
O Complementary angles
O Vertical angles
Linear Pair
Answer:
complementary angles
A car has a displacement of 220 kilometers to the north in 3.5 hours. What is its velocity in kilometers per hour?
Answer:
62.8km/hr
Step-by-step explanation:
Given parameters:
Displacement = 220km due north
Time taken = 3.5hrs
Unknown:
Velocity in km/hr = ?
Solution:
Velocity is the rate of displacement per unit of time. This physical quantity is a vector which has both magnitude and directional attributes.
So, mathematically;
Velocity = [tex]\frac{displacement}{time taken}[/tex]
Insert the parameters and solve;
Velocity = [tex]\frac{220}{3.5}[/tex] = 62.8km/hr
Spinner Results
Color Frequency
Red 4
Blue 3
Green 2
Yellow 2
Purple 6
Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Step-by-step explanation:
so, we had
4+3+2+2+6 = 17 experiments
I assume the spinner has 5 equality sized fields with different colors.
so, normally we would assume that in average each color has the same probability : 1/5 (desired results over totally possible results).
the experiments with the actual spinner give us now observational data and probabilities.
after all, a spinner (as a die, or a roulette wheel, or ...) can have slightly different probabilities for the individual outcomes based on design and manufacturing.
so, based on these results we see the actual probabilities like this
red 4/17
blue 3/17
green 2/17
yellow 2/17
purple 6/17
so, the observed probability shows us a probability of blue in the next spin to be 3/17.
please note, that after that next (18th) spin all the observed probabilities have to be updated depending on the actual result.
so, if the result of spin 18 is indeed blue, the probabilities for spin 19 would change to
red 4/18
blue 4/18
green 2/18
yellow 2/18
purple 6/18
can someone help me do 1 and 2?? Thank you so much !!!!!!!
Answer:
106 degrees
Step-by-step explanation:
1. Supplementary angles add up to 180. So subtract 74 from 180 to find the measure of angle C.
2. The full square isn't visible to answer.
1. m∠C = 106°
If angle A and angle C are supplementary, then the sum of their measures is 180°. Thus:
m∠A + m∠C = 180°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
sorry number 1 lang asan kase yung figure sa number 2
Plssss what is the answer
Answer:
=> The answer is 16
Step-by-step explanation:
Given :
a = -2
b = 3
c = -1
Answer:
2
Step-by-step explanation:
substitute the given values into the expression
[tex]\sqrt[4]{(3-(-2))(\frac{-2(3)^2(-1)}{3+3})+1 }[/tex]
= [tex]\sqrt[4]{(3+2)(\frac{18}{6})+1 }[/tex]
= [tex]\sqrt[4]{5(3)+1}[/tex]
= [tex]\sqrt[4]{16}[/tex]
= 2
Colin was using the back of his book to check his homework answers. The answer that he had on his paper was −13 − (15 + 58). The correct answer, located in the back of the book, was −13 −15 + 58. Was Colin correct? Justify your response
Answer: No. Collin was wrong.
Step-by-step explanation:
From the question, we are informed that the answer that Collin had on his paper was −13 − (15 + 58) and the correct answer, located in the back of the book, was −13 −15 + 58.
Collin is wrong because he didn't take into cognisance the effect of minus on the bracket. Here, −13 − (15 + 58) will be equal to -13 -15 -18. This is because minus multiplied by plus equals to minus. He shouldn't have put the numbers in the bracket.
ZA and B are vertical angles. If m_A = (3x - 30° and mZB = (2x – 9)°,
then find the value of x.
Can you find the AREA of this shape please, thank you!
Answer:
40.81125m²
Step-by-step explanation:
Hello!
Step 1: Rectangle
We can find the area of the rectangle by multiplying the base by the height.
A = base * heightA = 5m * 2mA = 10m²Step 2: Area small semicircles
If we add the two semicircles, we can see that it's actually 1 whole circle.
So we can simply find the area of the whole circle.
radius = 1/2 * diameter
A = πr²A = (3.14)(1m)²A = 3.14m²Step 3: Large semicircle
Now for the last part, the large semi-circle at the top.
Since it's half a circle, we can manipulate the formula by finding half of it.
A = (1/2)πr²A = (1/2)(3.14)(2.5m)²A = (1/2)19.625m²A = 9.8125Step 4: Total Area
Total area = 10m² + 3.14m² + 9.8125m²
= 40.81125m²
Observe the following sets and complete the statement below.
Set A - 1, 2, 3, 4, 5, 6, 7, 8, 9,0
Set B - 2, 3, 4, 5
“Set ___ is a ___ of set ___.”
Set _2__ is a _4__ of set __6_.”
Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 7x.
The factors of the given expression [tex]144-49x^{2}[/tex] will be [tex](7x+12)(7x-12)[/tex]
What will be the factors of the given equation?It is given that
[tex]144-49x^{2}[/tex]
Now by simplifying it
[tex](12)^{2} -(7x)^{2}[/tex]
Now from the formula, we know
[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]
So it will become
[tex](12)^{2} -(7x)^{2}= (12-7x)(12+7x)[/tex]
Thus the factors of the given expression [tex]144-49x^{2}[/tex] will be (7x+12)(7x-12)
To know more about the Factors follow
https://brainly.com/question/25829061
Can u help me please I would appreciate it
Answer:
A 13°
Step-by-step explanation:
We need to know the measure of angle LMN.
The angle measures of a triangle add up to 180°.
MLN=15°
LNM=180-28=152° (LNM and MNP are supplementary, meaning they add up to 180°)
LMN=15+152=167 180-167=13
Hope this helps :-)
Please help me I don’t understand.
Answer:
Its below
Step-by-step explanation:
8x-3:
Number of terms: 2
Coefficient: 8
Constant: -3
4m + n + 11:
Number of terms: 3
Coefficient: 4,1
Constant: 11
Answer:
numbers of terms are 3
coefficient is4
constant 11
Step-by-step explanation:
A store’s supply/demand graph for MP3 players is shown above. If the price is at the equilibrium point, how much money will the store make by selling MP3 players? a. $1,275 b. $1,600 c. $3,150 d. $3,300.
Creo que es 3,300, si aunque no entiendo bien
The Davis family drove a total of 587 miles, starting on Friday and ending on Sunday. They drove 182 miles on Friday and 260 miles on Saturday. How many miles did they drive on Sunday?
Answer:
145
Step-by-step explanation:
Because what you want to do is add 260 to 182 then subtract from 587. I hope that helped! :)
How many different outcomes are possible when 3 coins are flipped at once?
Kaitha wanted to buy a laptop. she saved 1/3 of the cost of the laptop in the first month. In the second month, she saved $125 less than what she saved in the first month. she saved the remaining $525 in the third month. how much did the laptop cost.
Answer:
It costed $1200
Step-by-step explanation:
First Month Saved 1/3 of total cost
Second Month (1/3 of total cost) - 125
Third Month 525
525-125= 1/3 of total (If she saved the same amount the second month as the first month, then she's already saved 2/3 of the money)
400 = 1/3 of total cost
3X400=1200
A city's bus system has a red-line and a blue-line. Both a red-line bus and a blue-line bus are currently at the City Hall Station. If a red-line bus arrives at the City Hall Station every 12 minutes and a blue-line bus arrives at the City Hall Station every 10 minutes, after how many minutes will the two buses next arrive at the City Hall Station at the same time?
Answer:
5.45minutesStep-by-step explanation:
Given that the arrival time of the redline bus= 12minutes
arrival rate = 1/12 arrival per minutes
arrival time of the blueline bus= 10minutes
arrival rate = 1/10 arrival per minutes
the combined arrival rate is given by the expression
let redline be A
and blueline be B
and let the combines arrival rate be x
A+B/(A*B)=1/x
1/12+1/0=1/x
12+10/12*10=1/x
22/120=1/x
x=120/22
x=5.45minutes
Austin wants to buy a new hat and to get his name embroidered onto it. The hat costs $18 and each letter costs $.75. How much will Austin have to pay to buy the hat and get his name put on it? (enter your answer as a decimal without dollar sign)
Answer:
22.50
Step-by-step explanation:
Hat = $18
Austin - 6 letters
0.75 x 6 = 4.5
Letters cost $4.50
18 + 4.5 = 22.5
He'll have to pay 22.50 dollars.
Hope this helps!
Please Help!!
Use the graph of the equation to solve: -2x - 5 = 3
Answer:
x = -4
Step-by-step explanation:
-2x - 5 = 3
Add 5 to both sides
-2x - 5 + 5 = 3 + 5
Simplify
-2x = 8
Divide both sides by -2
-2x/-2 = 8/-2
Simplify
x = -4
ASAP drusilla built a model airplane using the scale 1/2 in = 7 ft the wingspan of the model is 15 inches what is the actual wingspan
b 100ft
d 210ft
Answer:
D, 210 ft
Step-by-step explanation:
half in inch equals 7 ft and if theretheres 15 in
15x2=30
30×7=210
Find the upper bound for the following lengths:
a) 14.2 cm correct to 1 decimal place.
Answer:
14.25
Step-by-step explanation:
1 d.p so 1/2=0.5
14.2+0.5=14.25
Izzie stevens or jo Wilson
Answer:
Step-by-step explanation:
What ever one you think is better.
Answer:it is jo wilson
Write the compound inequality shown by the graph.
The equation 8m+3=75 models how many months, m, it takes a tree to reach a height of 75 inches after being potted. If the tree grows the same number of inches each month, how many months does it take the tree to reach a height of 75 inches?
A.72 months
B.25 months
C.9 months
D.8 months
Answer:
9 months
Step-by-step explanation:
8m + 3 = 75
-3 -3
8m = 72
/8 /8
m = 9
In 9 months the tree will be 75 inches tall
Why do people at school think I'm not very smart when I get A's in every class? I don't really raise my hand a lot in class...... maybe that's why? I also am kind of quiet around some people but I don't act d/umb and whenever I do speak to some of those people, it's always intelligent. I'm the new kid, and at my old school, I was always called smart..... so why do they call me du/mb?
Answer:
Honestly, I feel you. I've been there. Being the new kid not also brings problems related to your character, but to your feelings. I totally think you're smarter than all your other classmates! :D. Keep being yourself and never let them bring you down. If you fall down and don't feel like getting back up, remember this message!
- Benji :)
Answer:
They may not know very much about you and assume things about you based on things they see and perceive that are separate from the grades that you get and/or they think you aren't intelligent on something to do with your emotions/behavior and/or someone or some amount of people have developed something against you, these are just potential situations.
Step-by-step explanation:
Regardless of what the reason is, move forward with what you do and meet people who enjoy your company. Those who treat you badly are not worth your time. Best of luck!
what is exponential growth ?
growth whose rate becomes ever more rapid in proportion to the growing total number or size.
class quuestion
3x + 2 = 6x -10
Answer:
Step-by-step explanation:
PLEASE HELP FOR BRAINLEST!!!
Answer:
oh this isnt math but im learning about this
electrical ; thermal
Step-by-step explanation:
because the computer turns on with electricity then it gets hot which is thermal
The sum of 19 and a number x is equal to 22
Answer:
x = 3
Step-by-step explanation:
19+1=20
19+2=21
19+3=22
Or you can subtract 22 and 19 to find x
I'm so sorry if I get it wrong. Have a great day and good luck!
What is the X and Y for this??????