Answer:
a) P( [tex]Y^{C}[/tex] | X ) = 0.180
b) P(Y | [tex]X^{C}[/tex] ) = 0.998
Step-by-step explanation:
Let
P(X) - Probability that he acts hungry
P(Y) - Probability that he had ate dinner,
Given,
P(X | Y) = 0.5
P(X | [tex]Y^{C}[/tex] ) = 0.99
P(Y) = 0.9
a.)
P( [tex]Y^{C}[/tex] | X ) = [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]
= [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180
⇒P( [tex]Y^{C}[/tex] | X ) = 0.180
b.)
P(Y | [tex]X^{C}[/tex] ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]
= [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998
⇒P(Y | [tex]X^{C}[/tex] ) = 0.998
Help ASAP! please and thank you have a great and blessed day!
Answer:
1.b
2.a
3.c
4.d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write an integer to show 300 feet above sea level
Answer:
[tex]300[/tex] or [tex]+300[/tex]
Step-by-step explanation:
Given
300 feet above sea level
Required
Represent as an integer
Sea level implies 0 ft.
So, when a distance (300) is above the sea level, it means that the position is:
[tex]Position = 0 + 300[/tex]
[tex]Position = 300[/tex]
Hence, the position is 300 or +300
Which expression shows an equivalent way to represent the total bill?
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)
Please help me with this
Answer:
its B an D
Step-by-step expoin
stniop won
Answer:
The correct choices are: Both tables are relations because both display a set of ordered pairs, and table B is a function because each input has exactly one output.
Step-by-step explanation:
Both statements are true, both tables can be considered relations since all functions are relations, and because table A has proper inputs and outputs despite the fact of the same inputs resulting in different outputs. Table B can be considered a function because it has different inputs that each have an output, and there is no same input value that results in different outputs.
Find the perimeter of the figure.
what is 66.6% recurring as a fraction?
Answer:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is
1
number to the right of the decimal point, place the decimal number over
10
1
(
10
)
. Next, add the whole number to the left of the decimal.
66
6
10
Reduce the fractional part of the mixed number.
66
3
5
Convert
66
3
5
to an improper fraction.
333
5
Step-by-step explanation:
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
Find the value of x for which is r II s. Then find m<1 and m<2
•m<1 =(75-2x)
•m<2=(89-3x)
Answer:
1) 14
2) m<1=47°
3) m<2=47°
Step-by-step explanation:
1) 75-2x=89-3x
-2x+3x=89-75
x=14
2) m<1=75-2x
75-2(14)
75-28
47
3) m<2=89-3x
89-3(14)
89-42
47
Factor completely.
x^8 - 1/81
Please show a step-by-step/explanation on how you got your answer.
Answer: x(8) - /81
Step-by-step explanation:
Answer:
Step-by-step explanation:
As before any expression of the form (a^2-b^2) will always factor to (a-b)(a+b) in this case
x^8-1/81 = (x^4-1/9)(x^4+1/9) = (x^2-1/3)(x^2+1/3)(x^4+1/9) and if we completely factor it including square roots.[tex](x-\sqrt{1/3})(x+\sqrt{1/3})(x^2+1/3)(x^4+1/9)[/tex]
Please help me solve |3b+9| -16 = -52
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
In 2010, the population of a city was 224,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
people 2010:
224,000
people in 2015:
224,000(1+0.06) =237,440
people in 2020
237440(1-0.04) =227,942
The population increased between 2010 and 2015, with 4000 being the nearest 100 persons.
What is the percentage?
percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given, In 2010, the population of the city was 224,000. From 2010 to 2015, the population grew by 6%. hence,
Population by 2015 = 224,000 * (1.06) = 2,37,440
Also given, From 2015 to 2020, it fell by 4%. Hence,
Population by 2020 = 237,440 * 0.96 = 227942
Thus, the population difference between 2010 and 2020 = 227942 - 224,000
the population difference between 2010 and 2020 = 3942
Therefore, the population growth from 2010 to 2015, to the nearest 100 people is 4000.
Learn more about percentages here:
https://brainly.com/question/29116686
#SPJ2
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation:
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.
Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]
= [tex]\frac{3700-3200}{140-120}[/tex]
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
I need help pls I need it for school thank uu
find c and round. (geometry)
Answer:
4.24483 or 4.2
Step-by-step explanation:
An arithmetic sequence is described by the function f(n) = -3n + 7.
Determine the first five terms of this sequence
Answer:
the first five terms are: 4, 1, -2, -5, -8
Step-by-step explanation:
To find the first five terms, you simply input the numbers (1-5) into the equation.
[tex]-3(1)+7=4[/tex]
[tex]-3(2)+7= 1[/tex]
[tex]-3(3)+7=-2[/tex]
[tex]-3(4)+7=-5[/tex]
[tex]-3(5)+7=-8[/tex]
plz mark me brainliest. :)
how many miles per hour does it take to go 160 miles in 4.5 hours
Express 250 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
2 x 5 x 5 x 5
= 2 x [tex]5^{3}[/tex]
maybe they want the answer in index notation
help pls I don’t get this
Answer:
x=136 degrees
Step-by-step explanation:
ok so basically the angles are the same because the line intersects both lines at the same degree.
Answer:
136°
Step-by-step explanation:
Since both line are equal in length and size and both straight then if on side is 136° then the other side must be 136°
1/5 ( 3x + 1/2 )
expand the following expression
Answer:
(1/5 * 3x) + (1/5 * 1/2)
Step-by-step explanation:
This * is multiply and this property is distribution
area and perimeter
9=
10=
Answer:
9). 15 miles
10). 12880.8 in²
Step-by-step explanation:
9). Total distance to be covered by Kelly = Perimeter of the given triangle
= Sum of three sides of the triangle
To know the length of Laurel drive (Hypotenuse of the triangle), we will apply Pythagoras theorem in the given triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
= (2.5)²+ 6²
= 6.25 + 36
Hypotenuse = [tex]\sqrt{42.25}[/tex]
= 6.5 mi.
Therefore, total distance covered by Kelly = 6.5 + 2.5 + 6
= 15 mi.
10). Amount of paper required to cover one desk of the class
= Area of the trapezoid shown in the figure
= [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And 'h' is the distance between the parallel sides.
By applying Pythagoras theorem in ΔPRT,
PR² = RT² + PT²
PT = [tex]\sqrt{PR^2-RT^2}[/tex]
PT = [tex]\sqrt{(18)^2-2^2}[/tex]
= [tex]\sqrt{324-4}[/tex]
= [tex]\sqrt{320}[/tex]
= 17.89 in.
Area of the trapezoid PQRS = [tex]\frac{1}{2}(PQ+RS)(PT)[/tex]
= [tex]\frac{1}{2}(22+26)(17.89)[/tex]
= 429.36 in²
Therefore, paper required to cover 30 desks = 30 × 429.36
= 12880.8 in²
In order to find out which graduates have the highest starting salaries, we gather information from graduates of ivy league, private, and public universities.
Find the measure of < FEG
Jose and his family went to dinner at olive garden the total bill was $55.31 Jose decided to leave a 15% tip how much of a tip did the waiter receive
Answer:
The answer would be that waiter will get $8.29.
Step-by-step explanation:
You would do 55.31 multiplyed by 0.15 to get the answer.
whats the figurative language in scars to your beautiful explain
YOU WILL GET BRAINLIEST
Answer:
Scars to Your Beautiful Analysis
Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".
Step-by-step explanation:
is this it?
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 4 in the hundredths place is Response area the value of the 4 in the tens place.
1/10 1/100 1/1000
Answer:
1/100
Step-by-step explanation:
Answer: its 1/1,000
Step-by-step explanation:
which of the following tables shows a proportional relationship between x and y
Answer:
B.
Step-by-step explanation:
Write equivalent fraction with the given denominator.
Answer:
20/10
Step-by-step explanation:
2x10=20
Answer:
2 = 20/10
Step-by-step explanation:
The problem wants you to write a fraction that is equalavent to 2, but that has 10 as the denominator. I chose 20, because 2 x 10 = 20.
Y = -1/8x -10 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
The equation is in y intercept form.
what is 2x + 5 (y-1) when x=8 and y=5
Step-by-step explanation:
2x + 5 (y-1)
16+20
=36
hope it helps you