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Explanation:
Define the following events
D = weather is dryR = weather is rainyS = weather is snowyL = person is lateT = person is on timeWe are given the following probabilities
P(D) = 1/2P(R) = 1/3P(S) = 1/6Then we're further told that "if it is dry, then the probability someone will arrive on time is 4/5". We can condense that into the notation
P(T given D) = 4/5
The "given D" means that we know 100% that event D has occurred. So we're seeing how event T behaves because of D occurring. In other words P(T given D) is the same as saying "What is P(T) when we know D has happened?"
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The instructions also mention that "If it rains, the probability someone is on time is 2/5" tells us we have the notation
P(T given R) = 2/5
And also, the probability someone is on time if it is snowy is
P(T given S) = 1/10
due to it saying "If it snows, the probability that someone will arrive on time is 1/10".
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To recap so far, your teacher told you these three conditional probabilities
P(T given D) = 4/5P(T given R) = 2/5P(T given S) = 1/10They are conditional due to the "given" as part of the probability. They depend on the given event happening.
Subtract each fraction from 1 and we end up with these complementary probabilities
P(L given D) = 1/5P(L given R) = 3/5P(L given S) = 9/10I'm using the idea that P(A)+P(B) = 1, where A and B are complementary events. One or the other event must happen. Either you are on time, or you are late.
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Recall the conditional probability formula is
P(A given B) = P(A and B)/P(B)
which rearranges to
P(A and B) = P(A given B)*P(B)
We'll use this idea to get the following
P(L and D) = P(L given D)*P(D) = (1/5)*(1/2) = 1/10P(L and R) = P(L given R)*P(R) = (3/5)*(1/3) = 1/5P(L and S) = P(L given S)*P(S) = (9/10)*(1/6) = 3/20This means,
P(L) = P(L and D) + P(L and R) + P(L and S) ..... law of total probability
P(L) = 1/10 + 1/5 + 3/20
P(L) = 2/20 + 4/20 + 3/20
P(L) = (2+4+3)/20
P(L) = 9/20 is the probability someone is late
Help!please do this fast!!!
Answer:
The ordered pair works for the first equation on the top, but not the second equation on the bottom.
Step-by-step explanation:
You have to plug in the x and y values into the equations:
x - 2y = -6
2 - 2(4) = -6
That equation works.
...now for the next one...
3x + 2y = 12
3(2) + 2(4) = 12
That equation doesn't work.
Hope this helps!
Y/0.5=16
Please solve the equation ♀️
Answer:
y=8
Step-by-step explanation:
y/0.5=16
multiply each side by 0.5 and you get y=8
Answer:
y = 8
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
y = 8
Solve 3[-x + (2x + 1)] = x - 1.
Answer:
x=-2
Step-by-step explanation:
distribute 3
solve
Fill in the missing number
7x3=(__x3)+(4x3)
Answer:3
Step-by-step explanation:
7x3=21 4x3=12 21÷12=9 3x3=9
Answer:
3Step-by-step explanation:
7 × 3 = (x × 3) + (4 × 3)21 = 3x + 123x = 21 - 123x = 9x = 9/3x = 37 × 3 = (3 × 3) + (4 × 3)
What is the value of x?
Answer:
25
Step-by-step explanation:
Plz help brainlest!!!!!
Answer:
$6.50
Step-by-step explanation:
43.50-24=19.5
19.5/3=6.5
Answer: Each snack costs $6.50
Step-by-step explanation:
Subtract 43.50 by 24
Then divide
factor the polynomial
Answer:
Step-by-step explanation:
[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]
What is the value of X?
Answer: 75
Step-by-step explanation:
4/15 times 6 in simplest form
Answer:
8/5
Step-by-step explanation:
The value of the expression (4/15) x 6 will be 8/5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
4/15 and 6
Then the multiplication between the numbers 4/15 and 6 will be given by putting a cross sign between them. Then we have
⇒ (4/15) x 6
⇒ 8/5
The value of the expression (4/15) x 6 will be 8/5.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Ryan has 8 kittens. Two are white. what fraction of the kittens are not white? Write in simplest form. I will brainliest
P.S. (This is for my little sister)
Answer:
3/4
Because 6 are not white so 6/8 and divide each by 2
6 divided by 2 = 3
8 divided by 2 = 4
= 3/4
Step-by-step explanation:
Hope this helps her!!!
A child standing on a river bank ten feet above the river throws a toward the river at a speed of 12 feet per second . How long does it take before the rock splashes into the river ? Use the equation h=-16t^ 2 +vt+s
PLEASESE HELP
Please help me in number 34 please!!!!
Answer:
D
Step-by-step explanation:
use math wwwway , it gives ypu the answer and explenation
i need help with this question please hurry it is almost due!
Answer:
I see nothing tho
Step-by-step explanation:
Which of these is the quadratic parent function?
f(x) = x2
f(x) = |x|
f(x) = x
f(x) = 2x
Answer:
the first one
f(x) = x²
its making me write more
What would the volume be of a box with a width of 2 1/4 inches, length 1 1/2 inches, and height of 4 inches?
Answer: The answer is 13.5
Step-by-step explanation:
When xb= 12, y = 8. Find x when y = 12
Answer:
If it is direct proportionality, then y = kx where k is a constant. Use the given information to find k:
8 = k(12) ⇒ k = 8/12 = 2/3
y = (2/3) x
For y = 12,
12 = (2/3) x ⇒ x = (3/2)*12 = 18
x = 18 when y = 12
I hope this helps a little bit.
HELP I NEED HELP ASAP
Answer:
I get Answer c x=6 seconds
100 POINTS AND BRAINLIEST! Explain your answer PLEASE!
Answer:
27000
Step-by-step explanation:
I = P×R×T
=2000×25/10×5
=25000
AMOUNT= P+I
=2000+25000
=27000
Compound interest:-
P(1+r)^t2000(1+0.025)⁵2000(1.025)⁵2000(1.314)2628$Total:-
2000+2628=4628$Aria has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?
Answer:
8 visits
Step-by-step explanation:
Create an equation, where x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
Solve for x:
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.
By given she has 85 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs 185 points for a free movie ticket.
We must find how many visits does aria has to make to earn a free movie ticket
What is equation?If two expressions with equal sign is called as equation.
Let x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
To learn more about solving equation click here:https://brainly.com/question/19297665
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I NEED HELP OW RN rn please
Answer:
(4,10)
Step-by-step explanation:
Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate
I need help ASAP!!!!!!
Answer:
1. YES 2. NO
Step-by-step explanation:
1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.
2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.
Find the equation of the line shown
Answer:
x = 2 & y = 8
And this means-
x+y=10
Note:- These type of questions can have infinite solutions
Answer:
y=x+6
Step-by-step explanation:
If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given
[tex]Right = 60[/tex]
[tex]Upside\ down = 53[/tex]
[tex]Side = 37[/tex]
Required
First, we calculate the probability of landing on side
[tex]P(Side) = \frac{n(Side)}{Total}[/tex]
[tex]P(Side) = \frac{37}{150}[/tex]
[tex]P(Side) = 0.247[/tex]
Next, we calculate the expected value; E(x) using:
[tex]E(x) = n * P(x)[/tex]
When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:
[tex]E(x) = 100 * 0.247[/tex]
[tex]E(x) = 24.7[/tex]
[tex]E(x) = 25[/tex] --- approximated
Hence, it is expected that it will land on its side 25 times
find the area plz and thank u have explanation
Step-by-step explanation:
a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.
422.5m^2 is the answer
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
1. How much money will they collect for selling x floor tickets?
Answer:
Not sure
Step-by-step explanation:
Find the sixth term of a geometric sequence with which a, =-3 and r=-2.
Answer: 96
Step-by-step explanation: a is the initial term, and r is the ratio by which a increases. Multiplying -2 by -3 five times gives this sequence: -3, 6, -12, 24, -48, 96
Savannah has $92,637 in a savings account that earns 9% annually. The interest is not compounded. How much interest will she earn in 5 years
Answer:
$41686.65
Step-by-step explanation:
Given data
Principal = $92,637
Rate= 9%
Time= 5 years
The simple interest expression is given as
SI= PRT/100
Substitute
SI= 92637*9*5/100
SI= 4168665/100
SI=$41686.65
Hence the interest is $41686.65
Which equation represents a proportional relationship?
Answer:
B, for every y there are 150 x's
Find the value of x. Round to the nearest degree.
9514 1404 393
Answer:
x° = 42°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the useful relation ...
Cos = Adjacent/Hypotenuse
cos(x°) = 4.0/5.4
x° = arccos(4.0/5.4) ≈ 42.21°
The value of x is about 42.
21. Which equation best represents the line of regression in the following
scatter plot?
O A) y = 2x + 1
O B) y = -2x + 1
O C) y = -1/2x + 3
OD) y = x + 2x + 4
Answer:
D
Step-by-step explanation: