Answer:
The probability that the paint latex = 0.857
Step-by-step explanation:
From the given information:
Let consider X to be the event that the customer has purchased the latex paint
Let consider Y to be the event that the customer has purchased semigloss paint.
Now, the probability of X i.e. P(X) = 0.75
SInce X and Y are mutually exhaustive)
P(Y) = 1 - P(X)
P(Y) = 1 - 0.75
P(Y) = 0.25
Similarly, Let Consider Z be the event that the customer has purchased a roller.
We are being told that P(Z|X) = 0.6
P(Z|Y) = 0.30
[tex]P(X|Z) = \dfrac{P(Z|X)(P(X) }{P(Z|X)*P(X)+P(Z|Y)*P(Y)}[/tex]
[tex]P(X|Z) = \dfrac{0.6 \times 0.75 }{(0.6 \times 0.75) +(0.3 \times 0.25)}[/tex]
[tex]P(X|Z) = \dfrac{0.45 }{(0.45) +(0.075)}[/tex]
[tex]P(X|Z) = \dfrac{0.45 }{0.525}[/tex]
[tex]P(X|Z) = 0.857[/tex]
Thus, the probability that the paint latex = 0.857
The concept of probability is used in order to determine the probability that the paint is latex and the probability is 0.857.
Given :
The probability that a customer will purchase latex paint is 0.75. The customer who purchase latex paint, 60% also purchase rollers.The customer who purchase semigloss paint, 30% also purchase rollers.First, determine the probability that a customer will purchase semigloss paint.
[tex]P(A) = 1- P(B)\\P(A) = 1 - 0.75\\P(A) = 0.25[/tex]
In the above expression P(B) is the probability that a customer will purchase latex paint.
Now, determine the probability that the paint is latex.
[tex]P(B|C) = \dfrac{P(C|B)\times P(B)}{P(C|B)\times P(B)+P(C|A)\times P(A)}[/tex]
Now, substitute the values of all the known terms in the above expression.
[tex]P(B|C) = \dfrac{0.6\times 0.75}{(0.6\times 0.75)+(0.3\times 0.25)}[/tex]
Simplify the below expression.
[tex]P(B|C) = \dfrac{0.45}{(0.45)+(0.075)}[/tex]
[tex]P(B|C) = \dfrac{0.45}{0.525}[/tex]
[tex]P(B|C) = 0.857[/tex]
So, the probability that the paint is latex is 0.857.
For more information, refer to the link given below:
https://brainly.com/question/795909
Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
Answer: $54
Step-by-step explanation:
Thom's bill is $45 and leaves a 20% tip. So you add 45+20%=54
Answer:
54
Step-by-step explanation:
Edge 2021
i need help with these few questions please i will make you BRAINLIEST
Answer:
4a)74.692
4b)530.809
4c)1,207.034
5) i think both, they are just saying them in standard form and expanded form(Amy)
Step-by-step explanation:
what property is 13+(7+29)=(13+7)+29
Answer:
associative property
Step-by-step explanation:
grouping changes
what is 1/2 add 1/5
PLEASE HELP
Answer:
1/2+1/5=7/10
Step-by-step explanation:
1/2=5/10
1/5=2/10
2/10+5/10=7/10
Answer:
0.7 or 7/10
Step-by-step explanation:
When adding fractions they always need to have the same denominators,and the one they both have similar to is being equal to 10.
1/2 will get multiply with 5 on the numinator and the denominator having you get a fraction of 5/10.
You will do the same with 1/5 multiply it with 2 on the numinator and denominator having you get 5/10.
Since the dneominators are the same you keep it 10,and just add 5 and 2. Giving you a answer of 7/10
Simplify the expression: 4(9c − 7)
Answer:
36c - 28
Step-by-step explanation:
4(9c − 7)
Distribute
4 * 9c - 4*7
36c - 28
Nancy buys 16 ounces of ice cream. Every
night after dinner, she eats three ounces. How
much ice cream will be left after four nights?
Make your own function table to solve.
Answer:
Hopefully you can read it
Step-by-step explanation:
In circle V. r= 14ft.
What is the area of circle V?
14Tr ft2
28tt ft2
49tt ft2
196 ft2
Radius of circle = 14ft
We have to find the area of circle[tex].[/tex]
Area of circle of radius R is given by
A = π × R²⇒ A = π × R²
⇒ A = π × (14ft)²
⇒ A = 196π ft²
✪ Learn More :
Area of sqaure : (side)²
Area of rectangle = l × b
Area of triangle = 1/2 × b × p
i’ll give a thanks if you answer just need some help probably gonna be my last question
Answer:
Area is the quantity that expresses the extent of a two-dimensional figure or shape or planar lamina, in the plane. ... In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number. Hope this help :)
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
4(-8x + 5) - (-33x - 26) =
Hope it helps.
ej bisects def, m dej-5x+7, m JEF=8x-8. find x
Answer:
x = 5
Step-by-step explanation:
The information given has been sketched out in the attachment below.
Line segment EJ is an angle bisector of angle DEF. Therefore, m<DEJ = m<JEF.
The equation to find x would be expressed as follows:
5x + 7 = 8x - 8
Subtract 5x from each side (subtraction property of equality)
5x + 7 - 5x = 8x - 8 - 5x
5x - 5x + 7 = 8x - 5x - 8
0 + 7 = 3x - 8
7 = 3x - 8
Add 8 to both sides of the equation (addition property of equality)
7 + 8 = 3x - 8 + 8
15 = 3x
Divide both sides by 3
15/3 = 3x/3
5 = x
x = 5
I need help please.
Answer:
$3.06
Step-by-step explanation:
$26.50+$9.50=36
$36.00+8.5%=39.06
Identify the range of the function shown in the graph.
Answer:
B
Step-by-step explanation:
I got it correct on A P E X
Determine the lowest common denominator and solve the calculation 6/9 -2/3 show work
Answer:
Step-by-step explanation:
6/9 - 6/9 = 0
Find a · b.
a = −5, 1 / 2 ,
b = −5, 6
Answer:
a · b = 28 units
Step-by-step explanation:
Given vectors
a = (-5, 1/2)
b = (-5, 6)
The scalar or dot product of the two vectors, given by a · b is
a · b = (-5, 1/2) · (-5, 6)
To solve this, multiply the first term in a with the first term in b and add the result to the product of the second term in a and the second term in b. i.e
a · b = (-5 x -5) + (1/2 x 6)
a · b = 25 + 3
a · b = 28
Therefore, the dot product of a and b is
a · b = 28 units
plz help. Write the fraction in lowest terms.
[tex] \frac{12}{30} [/tex]
Answer:
2/5
Step-by-step explanation:
[tex] \frac{12}{30} = \frac{2 \times 6}{5 \times 6} = \frac{2}{5} \\ [/tex]
3w+4w-2=12 solve equation
Answer:
W= 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The cost of the lunches for the field trip can be represented by the expression Identity the values to make these expressions true Expand 29 to create an equivalent expression with fiendly numbers Distribute the Evaluate the multiplication 80 +36 +24
Answer:
Expand 29 to create an equivalent expression with friendly numbers.
4(20+9) + 4(6)
Distribute the 4.
4(20)+ 4(9)+4(6)
Evaluate the multiplication
80 + 36 + 24 = 140
Step-by-step explanation:
i just took the assignment.
i hope this helps : ))
Answer:
A-20 + 9
A-4(20)+4(9)+4(6)
A-140
Step-by-step explanation
just did the assigment good luck <3
Solve the system by graphing.
2x + 3y = 6
6x= -9y + 18
Answer:y= -2x/3 + 2
Step-by-step explanation:
A 2000-kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v = at, where a is acceleration in meters per second squared, and t is time in seconds. The kinetic energy of the car is K E = one-half m v squared, where m is the mass in kilograms. Which function represents the kinetic energy of the car after accelerating for t seconds?
Answer: D
KE = 900,000t2
Step-by-step explanation:
is 1 11/17 a rational number
Answer:
yes
Step-by-step explanation:
Rational numbers are integers, fractions, decimals, and whole numbers.
What is the Difference between 8 and -4
Answer:
One is postive and the other is negative but both are integers and whole numbers
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
difference=minus
8-(-4)
8+4=12
HURRY!!!!
Rigid transformation test
will give 15 points
solve these two questions please
Write each decimal in words. 4. 0.8 5. 400.29 6. 0.0306
Answer: four, zero, eighty five, four hundred and two hundred ninety six hundredth, zero and three hudred and six thousandsths
Step-by-step explanation:
What is the solution to this equation?
X+ 7 = -8
A. X= -1
B. x= 1
C. x= -15
D. x = 15
Answer:
your answer is option C.. X equal to -15
Step-by-step explanation:
x=-8-7
x= -15
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Answer:
X is C
Step-by-step explanation:
-15 + 7 = -8. hope this helped
How many cans of each type of paint does Marc have left for day 3
Answer: how many cans did he have to begin with?
Step-by-step explanation:
7 [ 3 • ( -2 ) -6 ] = ?
3:5. Then, it sold four times as many fiction books and 40%
more cartoon books. As a result, it sold 800 more fiction books
than cartoon books. How many fiction and cartoon books were
sold altogether in the end?
Complete question:
A book shop sold fiction books and cartoon books at a ratio of 3:5. Then, it sold four times as many fiction books and 40% more cartoon books. As a result, it sold 800 more fiction books than cartoon books. How many fiction and cartoon books were sold altogether in the end?
Answer:
3040
Step-by-step explanation:
Given the following :
Sales ratio = 3:5 (fiction : cartoon)
Let total number of books sold = x
Fiction books = 3x
Cartoon books = 5x
Four times as many fiction books = 4 × fiction books = 4*(3x) = 12x - - - (1)
40% more cartoon books = 40/100 = 0.4
5x(1.40) = 7x - - - (2)
As a result, 800 more fiction books than cartoon :
Fiction - cartoon = 800
12x - 7x = 800
5x = 800
x = 160
Substitute x into (1) and (2)
Fiction books : 12(160) = 1920
Cartoon books : 7(160) = 1120
1920 + 1120 = 3,040
Find the midpoint of the line segment connecting the two points (5,-3) (-4,7)
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: 2)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-3) and (-4,7)
The midpoint is
[tex]M = ( \frac{5 - 4}{2} , \: \frac{ - 3 + 7}{2} ) \\ = ( \frac{1}{2} \: , \: \frac{4}{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: 2)[/tex]Hope this helps you
what is the slope of the line below -3,2 3,2
a. negative
b.undefined
c. positive
d.zero
Answer:
0
Step-by-step explanation:
let (-3,2) be (x1,y1)
and(3,2)be(x2,y2)
Now,
slope = y2-y1/x2-x1
=2-2/3-(-3)
=0/3+3
=0/6
therefore slope=0
Find the value of h(-67) for the function below. h(x) = -49x − 125
Answer:
h(-67) = 3158
Step-by-step explanation:
Simply plug in -67 for x:
h(-67) = -49(-67) - 125
h(-67) = 3283 - 125
h(-67) = 3158
Answer: h(-67) = 3158
Step-by-step explanation:
-49(-67)-125
3283-125
3158
