Answer:
0.087 = 8.7% probability that this person made a day visit.
0.652 = 65.2% probability that this person made a one-night visit.
0.261 = 26.1% probability that this person made a two-night visit.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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 question:
Event A: Made a purchase.
Probability of making a purchase:
10% of 20%(day visit)
30% of 50%(one night)
20% of 30%(two night).
So
[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]
How likely is it that this person made a day visit?
Here event B is a day visit.
10% of 20% is the percentage of purchases and day visit. So
[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]
0.087 = 8.7% probability that this person made a day visit.
A one-night visit?
Event B is a one night visit.
The percentage of both(one night visit and purchase) is 30% of 50%. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]
0.652 = 65.2% probability that this person made a one-night visit.
A two-night visit?
Event B is a two night visit.
The percentage of both(two night visit and purchase) is 20% of 30%. So
[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]
0.261 = 26.1% probability that this person made a two-night visit.
Do reflections have the same orientation? In other words, if a shape is reflected, do both figures still have the same orientation?
Answer:
I think so.
Step-by-step explanation:
With letters, no, and some shapes would be reversed, like a triangle with lengths that are all different from eachother.
If the number 45 is multiplied by 100, In what place value will the 4 be?
thousands
tens
ones
hundreds
Answer:
thousands
Step-by-step explanation:
the number would be 4,500
Simplify 272. please help me i can't seem to get the answer right.
Simplify
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
4
√
17
Decimal Form:
16.49242250
Hope this helped
can i be marked as brainliest
equation of a line that has a slope of -2 and passes through the point (-1,4)
Answer:
y=mx+b
Step-by-step explanation:
thats the formula i think
Which improper fraction is equivalent to 15 3/7
Answer:
108/7
Step-by-step explanation:
15*7 is 105+3 is 108/7
A line passes through the points (1, 7) and (0, 3). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:1. you can compute the slope, m
2. point (0,3) is the y-intercept; b=33
3. y = mx + b, so put the numerical values in for m & b. DON
Step-by-step explanation:
Brandon has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 12.5 points for each visit to the movie theater. He needs 145 points for a free movie ticket. How many visits must Brandon make to earn a free movie ticket?
Answer: x=6
Step-by-step explanation:
Answer:
placeholder going to the bathroom brb
Step-by-step explanation:
What is bigger 4.62 or 4.24
Answer: 4.62 is bigger than 4.24
Step-by-step explanation:
Solve thee equation shown
2 × 1/3 =
Answer:
0.66? (0.67 if you rounded it)
Step-by-step explanation:
2*1/3
2/3 = 0.6666666666
Write the standard equation for the circle center (-6, 7), r= 9.
O(x – 6)2 + (y + 7)2 = 9
(x – 7)2 + (y + 6)2 = 81
(x + 5)2 + (y – 7)2 = 81
(x+6)2 + (y – 7)2 = 9
Answer:
(×+6)^2 + (y -7 ) ^2=81
Step-by-step explanation:
hope this helps
every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?
Answer:
2/3
Step-by-step explanation:
Can someone please answer this question
Giving brainleist!
Answer:
a) 9000
b) 40
c) 630
d) 125
can you help me please
Answer:
your answer will be 3.8928
Step-by-step explanation:
have a nice day bye ^_^
5. Choose the likelihood of a probability of 50 percent.
Event: November 25th will fall on a Monday
Certain
Highly likely
Less likely
Impossible
Answer:
well, highly likely. it will always fall on a monday,
Step-by-step explanation:
if you look at all of the years it has fallen on since 2010 you will see it has always fallen on monday.
Round 1231.50432 to the nearest tenth
Answer:
1231.5
Step-by-step explanation:
I hope this help.
lim x→π/2 1-sinx/cot^2x
any genious help please
Rewrite the limand as
(1 - sin(x)) / cot²(x) = (1 - sin(x)) / (cos²(x) / sin²(x))
… = ((1 - sin(x)) sin²(x)) / cos²(x)
Recall the Pythagorean identity,
sin²(x) + cos²(x) = 1
Then
(1 - sin(x)) / cot²(x) = ((1 - sin(x)) sin²(x)) / (1 - sin²(x))
Factorize the denominator; it's a difference of squares, so
1 - sin²(x) = (1 - sin(x)) (1 + sin(x))
Cancel the common factor of 1 - sin(x) in the numerator and denominator:
(1 - sin(x)) / cot²(x) = sin²(x) / (1 + sin(x))
Now the limand is continuous at x = π/2, so
[tex]\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}[/tex]
Select all equations where r=3 is a solution
R-3=0
1+ r = 2
9- r = 3
1/5r = 3
R2= 9
Answer:
the first equation
Step-by-step explanation:
Who can answer this
Answer:
Check pdf
Step-by-step explanation:
Negative nine minus negative ten?
Answer:
-9 - 10 = -19
Step-by-step explanation:
If both numbers are a negative, then add them together but keep the negative or minus sign
Hope this Helps!!!
please help fr i don’t understand this
Answer:
A.
Hope that helps!
Step-by-step explanation:
Answer:
the answer is A I believe good luck
2/5 > 1/2 or 2/5 <1/2
Answer:
It's 2/5 <1/2.
Can someone help me
Answer:
86m²
Step-by-step explanation:
find area of triangle:
1/2 (bxh)
1/2(5x4)
1/2(20)
10
find area of rectangle:
bxh
12 x 8
96
subtract triangle's area from rectangle's area:
96-10
86
help me plssssssssssssssssssssssssssssss
Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = 1.96
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
Choose Yes or No to tell if the expression is equal to 8 x 40.
Which pair of values could NOT be the roots of a quadratic polynomial?
A) 4 and 6
B) 5 and 5
C) 2 + 3i and 2 + 3i
D) 1 + 3i and 1 –3i
Answer:
Part c
Step-by-step explanation:
In quadratic equations of real coefficients, the complex roots always occur in conjugate bases. It means, if, 2 + 3i is one of the roots and then the second root must be 2 - 3i.
The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, etc.
If the root of a quadratic polynomial is a complex number, then it must be in conjugate pairs.
The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i
Find out more on polynomials at: https://brainly.com/question/4142886
How do I find the volume of a solid by rotating the region bounded by the given curves about a specified line?
Step-by-step explanation:
if a region is bounded by two curves y=f(x) and y=g(x) on an internal a,b where 0<g(x)< f(x) then the volume of the solid obtained by the rotating region about the Y-axis is expressed by the integral of the difference of two functions: v= 2πbfax(x)jdx
What is the area of a circular region whose
diameter is 12 centimeters?
Answer:
A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)
The area of the circular region will be 113 square centimeters.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The formula to calculate the area of the circle is given by:-
A = πr²
Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.
r = d / 2
r = 12 / 2 = 6
The area of the region will be calculated as below:-
A = πr²
A = π x ( 6 ) x ( 6 )
A = 113.09 square centimeters
Therefore, the area of the circular region will be 113 square centimeters.
To know more about an area follow
https://brainly.com/question/24375372
#SPJ2
At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville. On his
way he stopped for 10 minutes in Rowan for a coffee and then he popped in to see his friend in
Yewton. He arrived in Oakville at 16:25. Jimmy cycled at a steady speed of 24 km/h and his
average speed for the whole journey, including the stops, was 18 km/h.
For how long did Jimmy stop in Yewton?
А
40 minutes
B
45 minutes
C
55 minutes
D
60 minutes
Jimmy stopped in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
At 12:45 Jimmy left his home in Pinetrees and cycled to visit his grandmother in Oakville.
Let x be the total time Jimmy stops in Yewton:
Total time for the journey = 220 minutes (12:45 to 16:25)
As we know:
distance = speed×time
24(220 - 10 - x) = 18(220)
220 - 10 - x = 165
x = 210 - 165
x = 45 minutes
Thus, Jimmy stop in Yewton for 45 minutes if Jimmy cycled at a steady speed of 24 km/h and his average speed for the whole journey, including the stops, was 18 km/h.
Learn more about the distance here:
brainly.com/question/26711747
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Help the sista out cause it boring
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4/5 your dividing 4 by 5, so answer is B :)
Here is a Thought anyways im out
You know when you drop a plate and it shatters?, and if you say sorry to the plate it wont be one whole plate again... now replace that plate with someones heart. A "sorry" doesnt make a shattered heart a whole heart again.
Answer:
royal stuff
Step-by-step explanation:
I'm sorry if anyone's broken ur plate:(
Answer:
The answer is 0
Step-by-step explanation:
Deep thoughts