Answer: y = -3/5x
............................................
Suppose that Juan can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 14 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 62 percent of the time.
Because the bus is cheaper, he uses the bus 83 percent of the time.
What is the approximate probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.?
Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
find the nth term in the following sequesnce: 1, 3, 9, 27
Answer:81
Step-by-step explanation: it is skip by 3x so 21 x3 = 81
:)
Please help, thank you in advance
Answer:
Solution
9
1
3
6
Step-by-step explanation:
Which of the points shown below are on the line given by the equation y = 5x?
Check all that apply.
B
D
A
O A. Point A: (5, -1)
DB. Point B: (1,5)
C. Point C:(0,0)
D. Point D: (-3,2)
How to take inverse of a matrix.
Step-by-step explanation:
I hope this is your answer
Answer:
k;bjkbihpkbk
Step-by-step explanation:
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
Which constant term would mean that the expression is completely factored?.
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
took the test
The radius of a circle is 15 inches. What is the circumference of the circle? Write your answer using .
Answer: C ≈ 94.25 in
Step-by-step explanation:
What are the coordinates of the point on the line 6x-5y=8 that is closest to the origin.
Answer:
(0,-1.6) and (1.3,0)
Step-by-step explanation:
Which of the following shows a translation of f(x) two units to the left?
a f(x + 2)
b f(x) – 2
c f(x – 2)
d f(x) + 2
Answer: D. f(x) + 2
Step-by-step explanation: if its not this then its B. f(x) - 2
Evaluate the expression below when a = 5 and b = 2: a (10b - 2a).
Answer:
50Step-by-step explanation:
First, substitute the 2 given values into the expression.
a ( 10b - 2a )
5 ( 10(2) - 2(5) )
Simplify to the lowest terms possible, without distributing.
5(20-10)
Distribute 5 into each term.
100-50 or 20(5)-10(5)
=50
solve the inequality 4x-3=2x+7
Answer: x=-2
Step-by-step explanation:
Add three to both sides of the equation
4x-3=2x+7
4−3+3=2−7+3
simplify
4=2−4
4−2=2x-4−2
simplify
2=−4
Divide both sides of the equation by the same term
2=−4
2/2=−4/2
=−2
Answer: x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.x=5
the radius of the circle shown to the right is 3 inches. What is the area of this circle, in square inches?
Answer:
Step-by-step explanation:
Area of a circle = πr², plug in r= 3, we get:
A = π(3)²
A = 9π or 28.26 in³(if the π is calulate as 3.14)
How to use a protractor.
Answer:
You can see below!
Step-by-step explanation:
Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!
What is the slope of the line that passes through the points (9, 1) and (17, 2)
Answer: The slope is 1/8
Step-by-step explanation:
Full equation = ( y = 1/8x-1/8)
Step-by-step explanation:
Slope = y2-y1/x2-x1
= 2-1/17-9
=1/8
=0.125
Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help
Answer:
C
Step-by-step explanation:
x=8
(8+40)= 48
2³=2×2×2=8
48:8=6
lf the volume of a sphere= 4.5π cm³ then the radius length is .....?
Answer:
Radius = 3.232 cm to the nearest thousandth.
Step-by-step explanation:
Volume of a sphere = 4/3πr^3, so:
45π = 4/3πr^3 π is common to both sides, so:
45 = 4/3 r^3
r^3 = 45 * 3/4
r^3 = 33.75
r = 3.232 cm.
What number has 62 hundreds and 5 tens
Answer:
6250
Step-by-step explanation:
62 hundreds is the same as 62 X 100 which equals 6200.
5 tens is the same as 5 X 10 which equals 50.
And if we add these together, we get a total of 6250
Can my grade go up to an A within 3 weeks if i just do class work?
Answer:
da_mn the struggle is real
Step-by-step explanation:
What is mRS?shown on the picture
Answer:
RS = 80°
Step-by-step explanation:
The sum of the arcs of a circle is 360°.
RS +ST +TR = 360°
RS = 360° -ST -TR = 360° -130° -150°
RS = 80°
f(x)=-2x^2-2x+10 f(x)=−2x 2 −2x+10 \text{Find }f(2) Find f(2)
Given that:
f(x) = -2x²-2x+10
f(2) = -2(2)²-2(2)+10
= -2(2*2) - 4 + 10
= -2(4) - 4 + 10
= -8 - 4 + 10
= -12 + 10
= -2 Ans.
Read more:
Similar Question
Given f(x) = 1/2x - 5, find f^-1(x) a. f^-1 (x) = -2x+10 b. f^-1(x) = 2x+5 c. f^-1(x) = 2x-10 d. f^-1(x) = 2x+10...
https://brainly.com/question/11148895?referrer
Example where we use a binary number system.
Simplify the expression. (1423 – 2x2 + 3x – 7) – (328 + 142 – 10)
Answer:
-2x^2+3x+956
Step-by-step explanation:
If you want to do math easier, just look up symbolab.com and it will show you the right answers and how to do the problems.
Write 63 as the product of prime factors
HOW AM I WRONG???
Answer:
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
Step-by-step explanation:
Answer:
3x3x7
Step-by-step explanation:
Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P
Hope this helps! :)
Please help. I just don’t feel like doing it rn
Answer:
mm
Step-by-step explanation:
If you get it right ill give brainliest hurry pls
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Find the perimeter. Simplify your answer.
what is the answer to 32÷(-8)=
Answer:
-4
Step-by-step explanation:
32÷(-8)=-32÷8
=-4
What is the halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
5.3+5.4/2
10.7/2
5.35
In an attempt to predict a single response variable y, three models are estimated. The standard error of the estimate for Model 1 equals 10, for Model 2 equals 100, and for Model 3 equals 1000. According to the standard error of the estimate, which model provides the best fit