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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
What is the value of the expression 6+5 x (8 ÷ 2)2?
please help with maths !
Answer:
4.91
Step-by-step explanation:
trying to find adjacent, you know the angle and hypotenuse, so use the CAH equation
cos(51) x 7.8 = 4.91 (3 s.f.)
Answer:
use Pythagoras theorem for this question because this is a right angled triangle
will give brainliest
I believe it should be 5
Step-by-step explanation:
I believe this because 16÷8=2 so 10÷2=5
Yesterday 1/8 of the books were sold at the bookstore were science fiction books.which decimal is equivalent to this fraction of books sold.
Answer:
1/8 in decimal form is 0.125
1. For the exponential function y = 2^x:
a) What is the y-intercept?
b) What is the domain?
c) What is the range?
d) What is the equation of the asymptote?
PLEASE HELP EXPONENTIAL FUNCTION!!
Answer:
D
Step-by-step explanation:
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You are flying a drone at a height of twelve yards. It has traveled a horizontal distance of twenty-
eight yards. What is the angle of depression from the drone's current location down to its starting
point? Round your answer to the nearest tenth of a degree. Do not include units in your answer.
Answer:
8.25
Step-by-step explanation:
Use trigonometric ratios to solve the right triangle. Pls Help
Help!
Evaluate the logarithmic function for the given value.
f(x) = log3 x for f(243)
f(243) =
M
Answer:
5
Hope it helps
Please mark me as the brainliest
Thank you
Write this in order: (greatest to least:)
112 , 100.789 , 101.89 , 101.9 , 190. 1
190.1 112 101.9 101.89 100.779 1
not sure
GOOD LUCK
-2a - 7 = -11 (worth 25 points}
Answer:
A=2
Step-by-step explanation:
HELP!
The net of a cylinder with a radius of 5cm and a height of 8cm is drawn below. Work out the surface area of the cylinder.
Answer:
408.41 cm²
is the answer
What are the next three terms in the sequence? -112, -129, -146, ___________
Explain your answer.
Answer: -163, -180, -197
Step-by-step explanation:
Mac Cosmetics sells a lip gloss for $15.50, but it only costs the company $6 to make it. What is the percentage markup on the lip gloss? Show all of your work and record your final answer in the space below.
Answer:
258 percent
Step-by-step explanation:
15.5/6 is 2.58, which is 258 percent
someone help me here please!!
Evaluate: ⎪-26⎥ + ⎪-17⎥
Answer:
43
Step-by-step explanation:
the true values of each number is 26 and 17 so adding them gives you 26+17
urgent !!
In Cynthia's physics class, she must turn in four lab reports. For each report, she earns extra credit if her percent error is less than 5%.
For her first lab report, she calculated the value of the acceleration due to gravity three times. She got the following three values.
9.56 ms2
9.72ms2
9.88ms2
The accepted value of the acceleration due to gravity is 9.8ms2.
Which option is closest to Cynthia's percent error?
about 8%
about 1%
about 0.8%
about 5%
Answer:
9.56 Ms2
Step-by-step explanation:
HELP WILL MARK BARINLIEST IF RIGHT!!!
Step-by-step explanation:
Hence the value of x is 70.14cm.
The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?
Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,
[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]
So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
Select 3 side lengths that can form a right triangle.
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
Edit: I had to change cause it was wrong
Answer:
16 inches, 63 inches, and 65 inches
Step-by-step explanation:
16 squared = 256
63 squared = 3969
16 squared + 63 squared = 4225
65 squared = 4225
A^2 +B^2 = C^2
quadrilateral CDEF is dilated by a scale factor of 3/4 to form quadrilateral C'D'E'F. What is the measure of side E'F?
Answer:
9
Step-by-step explanation:
Side EF is 12 units, so you have to multiply 12 by 3/4, and you get 9.
Answer:
ucgt
Step-by-step explanation:
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
y = 25x + 128.8
Step-by-step explanation:
y = total cost
x = amount of days the car was rented
25 represents the daily charge for the fee and the insurance (15+10=25)
128.8 represent the cost for miles driven by Jerry
This was calculated by multiplying the amount of miles he drove (644) by the cost of each mile (.20)
644x.20=128.8 so the cost for miles driven is $128.8 which is why it was added to the equation
Simplify 2.1+(-3.7h)+1.9h-1.4
simplify please ......
Answer:
Simplifying
5x + 5x = 10x
Combine like terms: 5x + 5x = 10x
10x = 10x
Add '-10x' to each side of the equation.
10x + -10x = 10x + -10x
Combine like terms: 10x + -10x = 0
0 = 10x + -10x
Combine like terms: 10x + -10x = 0
0 = 0
Step-by-step explanation:
Answer: 5x+5x=10x²
10x=10x²
10x²+ -10x²=0
10x+-10x²=0
10x(1+ -1x)=0
ignore the factor 10
Step-by-step explanation:
help me whit this I am confused
Answer: c
Step-by-step explanation:
if you think about the equations as linear functions, you can imagine that if they do intersect, it must be on only one point (since two straight lines cant intercept at more than one point, unless they are the same line)
therefore the point has to be the one and only intercept- satisfiing both linear equations
can someone please help me
Answer:
[tex] \frac{7 \times 2}{10 \times 2 } \\ = \frac{14}{14 + 6} [/tex]
Need help ASAP because it’s hard lol
Answer: y = x + 2
Step-by-step explanation: We can see the y-intercept is 2 on the graph, and the slope is 1
Answer:
y=x+2
Step-by-step explanation:
Simplify the following expression using exponents
Answer:
-16 over 125a^11b
Step-by-step explanation:
-2(3x - 10) -what would you get when distributed.
Answer:
-6x+20
Step-by-step explanation:
please help!!
In a survey, 90% of dentists recommended sugarless gum for their patients who chew gum. If the total number of dentists surveyed was 80, how many dentists recommended chewing sugarless gum?
(Hint: What is 90% of 80?)
Answer:
72
Step-by-step explanation:
80x.90= 72
Answer:
72 is your answer
Step-by-step explanation:
Crystal bought a jacket that is $65. She has a coupon for 20% off. She needs to pay 9% tax on the jacket. What is the total amount that she needs to pay for
the jacket?
Answer:
va cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speeda cyclist covers a distance of 15km in 2hours calculate his speed