Answers
Answer:
1/2
Step-by-step explanation:
(2,1)(4,2)
x1-y1/x2-y2
slope:m=1/2
Related Questions
(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing
Answers
Answer:
a) Probability of ending up wearing 2 blue socks is 1/11.
b) Probability of ending up wearing no grey socks is 7/22.
c) Probability of ending up wearing at least 1 black sock is 5/11.
d) Probability of ending up wearing a green sock is 0.
e) Probability of ending up wearing matching socks is 19/66.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.
The explanation of the answer is now given as follows:
The following are given in the question:
n(B) = number of Blue socks = 4
n(G) = number of Gray socks = 5
n(K) = number of black socks = 3
Therefore, we have:
n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12
To calculate a probability, the following formula for calculating probability is used:
Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)
Since this is a without replacement probability, we can now proceed as follows:
a) 2 blue socks
P(B) = Probability of ending up wearing 2 blue socks = ?
Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3
Since it is without replacement, we have:
Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11
P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11
b) no gray socks.
Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7
P(No G) = Probability of ending up wearing no gray socks = ?
Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11
P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22
c) at least 1 black sock.
Probability of at least one black sock = 1 - P(No K)
Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9
Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11
P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11
Probability of at least one black sock = 1 - (6 / 11) = 5 / 11
d) a green sock.
n(Green) = number of Green socks = 0
Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.
e) matching socks.
This can be calculated using the following 4 steps:
Step 1: Calculation of the probability of matching blue socks
P(matching blue socks) = P(B) = 1 / 11
Step 2: Calculation of the probability of matching gray socks
P(matching green socks) = Probability of matching gray socks = ?
Probability of first pick = n(G) / n(T) = 5 / 12
Since it is without replacement, we have:
Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11
P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33
Step 3: Calculation of the probability of matching black socks
P(matching black socks) = Probability of matching green socks = ?
Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4
Since it is without replacement, we have:
Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11
P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22
Step 4: Calculation of the probability of ending up wearing matching socks
P(matching socks) = Probability of ending up wearing matching socks = ?
P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66
Donovan is training for a marathon. He currently can run 1 lap around the track in 0.85 minutes. How long will it take him to run 12.5 laps?
ASAP
Answers
Answer:
10.625
Step-by-step explanation:
Answer:
10 minutes and 37.5 seconds
Step-by-step explanation:
0.85 is 51 seconds. I will be using this because it is easier for me.
Multiply 51 • 12 = 612 seconds for 12 laps. Divide 612 ÷ 60 = 10.2. You get 10.2 minutes. This is 10 minutes and 12 seconds for 12 laps.
Divide 51 by 2 to find how long it takes for 1/2 a lap. You will get 25.5 seconds for half a lap.
Add them together: 10 min 12 sec + 25.5 sec = 10 minutes and 37.5 seconds
How many gallons of a 15% sugar solution must be mixed with a 5 gallons of a 40% solution to make a 20% solution
Answers
Answer:
20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.
Step-by-step explanation:
40% of 5 gallons is 2 gallons of sugar
x represents the number of gallons of solution to be added.
15% of x is sugar.
The total amount of sugar must be equal to 20% of the final mixture.
The end mixture will be x + 5 gallons
Change percent to decimal for the equation:
.2(x +5) = .15x +2
.2x +1 = .15x +2
.2x - .15x = 2 -1
.05x = 1
x = 20
Check:
.2(20 +5) = .15(20) +2
.2(25) = 3 + 2
5 = 5 true
This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.
20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. What is the temperature in the city at 4 am? *
20 degrees
-3 degrees
7 degrees
-6 degrees
Answers
Answer:
it is 3 ... 75 percent sure
[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?
Answers
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]
Step-by-step explanation:
Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]
Let's simplify the equation :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]
can you help me in that problem
Answers
Answer:
(x - 10, y - 13)
Step-by-step explanation:
We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.
Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.
So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answers
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerline 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes.
a.
4.1 ft
b.
9.4 ft
c.
16.9 ft
d.
11.6 ft
Answers
Answer:
4.1 ft
Step-by-step explanation:
All we need to do is substitute "t" as 2 minutes to determine the height:
h = 10.6 + 6.5 sin(850*2),
Remove full rotations of 360 until the angle is between 0 and 360° :
h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)
Now evaluate sin(260) :
h = 10.6 - 6.40125... = 4.1987496
Your solution should be 4.1 ft (though it actually should be 4.2 ft)
Can someone help me on this place I will mark brianliest ( also in note if you dont want to help then dont help me and if your going to be rude like saying do it yourself please keep that to yourself and be considerate with your manners thank you ^^
Answers
Answer:
That is an entire worksheet. Also just download PhotoMath on your phone and it will give you the answers.
Step-by-step explanation: I'll get you started
1) 1
2) 2
3) 4
4)
5) 20
6) 1
7) 2
8) 20
Answer:
1. 1/2
2. 2/3
3. 4/7
4. 10/25
5. 20/40
6. 1/10
7. 2/6
8. 20/90
9. 27/36
10. 1/6
11. ?
12. 2/5
13. 2/3
14. 11/12
15. 17/25
16. 2/8
17. 6/7
18. 42/70
Step-by-step explanation:
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answers
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
plz plz plz HELP!
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b
Answers
Answer:
y=11x
Step-by-step explanation:
ΔX = 2 – 1 = 1
ΔY = 22 – 11 = 11
Which of the following are magnitudes for rotational symmetry of the square below about the marked point?
Choose all answers that apply:
A : 45
B : 180
C : 270
D : None of the above
Answers
CCCCCCCCCCCCCCCCCCCCC
Answer:
b
Step-by-step explanation:
that was the right answer on khan academy
HELP ME PLEASE!!!!!!!!!!!
Answers
Answer:
y - 7 = 5/4(x - 3)
Hope that helps
Answer:
welcome
Step-by-step explanation:
At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP
Answers
Answer:
Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better
Step-by-step explanation:
What is a counterexample for 3/4 and 6/8
Answers
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
which equation is it please help me !!
Answers
Answer:
y-8x=-2
Step-by-step explanation:
so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives
-(-8)=8
let us put all the equations into slope intercept form
a.y=-8x+6
b.y=-1/8x-5
c.y=1/8x-5
d. y=8x-2
y=mx+b
as you can see the only line with a slope of 8 is y-8x=-2
The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?
A. $360
B. $480
C. $600
D. $720
E. $840
Answers
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
It takes Brian 7 weeks to save
420 dollars. At this rate how
much will he have saved after ||
weeks?
Answers
for the following exercises, identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
14. distance to the closest movie theater
16. number of competing computer spreadsheet software packages
Answers
Answer:
14: quantitative continuous
16: quantitative discrete
Step-by-step explanation:
Distance can be any non-negative real number, hence it is continuous.
The number of packages has to be a positive integer, hence is discrete.
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Answers
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answers
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
(easy points)
If it is now November, what month will it be in 17 months? *
November
January
March
April
Answers
Answer:
April
Step-by-step explanation:
If you add 12 months it will be November once more. Then add 5 months which is April.
A total of 5.9 percent of the prime time viewing audience watched shows on ABC, 7.6 percent watched shows on CBS, 5.5 percent on Fox, 6.0 percent on NBC, 2.0 percent on Warner Brothers, and 2.2 percent on UPN. A total of 70.8 percent of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website:
Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.
Answers
Answer:
Step-by-step explanation:
Given the data :
ABC = 5.9%
CBS = 7.6%
FOX = 5.5%
NBC = 6.0%
Warner Brothers = 2%
UPN = 2.2%
Other Cable network = 70.8%
From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.
hi im 7th grade and i feel like people think i smell when i do everything to not smell. i wake up take a shower with soap aplly deoderant and brush teeth. any tips
Answers
Answer:
Step-by-step explanation:
This might be a hygiene problem. What causes the unpleasant smell is the bacteria that build up on your sweaty skin and react with sweat and oils to grow and multiply when sweat reacts with bacteria on the skin. These bacteria break down proteins and fatty acids, causing body odor in the process. If deodorant isn’t good enough , I recommend perfume, the perfume smell lasts longer than deodorant I would think. But shower everyday, full clean down, but if ur hygiene is ok, I recommend going to the doctor for a checkup. Hopefully your problem will be resolved. Also use lotion.
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answers
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
Michael paid $10 for a six-pack of socks at the store. How much would one pair of those socks cost?
Answers
so $1.67
You are going shopping for clothes. You will buy 2 shirts for each pair of pants. Shirts cost $25.00, and pants cost $30.00. You only have $200.00 to spend. How many shirts and pants can you buy
Answers
Answer : 30x=22y <= (less than or equal to) 130
Step-by-step explanation:
In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?
Answers
Answer:
The propability would be 4/26 students who failed the test but completed the
homework
Step-by-step explanation:
The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,
Given,
Total number of students = 26 students
Number of students who completed the assignment = 18 students
Number of students who pass the test and also completed the assignment = 15 students
Number of students who completed the assignment and fail the test = 18 -15 = 3 students
Then,
Probability = Number of favorable outcome / Total number of outcome
Probability that a student who failed the test completed the homework = [tex]\frac{3}{26}[/tex]
Hence, The Probability that a student who failed the test completed the homework is [tex]\frac{3}{26}[/tex]
Learn more about Probability here
https://brainly.com/question/11234923
#SPJ2
Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose
Answers
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
1) (2 points) Imagine a 21-gonal prism. How many total faces does this prism have? Provide a clear
and detailed justification for your answer, using appropriate vocabulary, that does not rely on a
formula.
Answers
Answer: There are 23 faces total.
Explanation:
This is because there are 21 lateral faces, each of which are a rectangle. Then there are the 2 base faces which are each 21-gons. A 21-gon is a 21 sided polygon. So we have 21+2 = 23 faces total.