Answer:
P(A) = 0.62
P(B) = 0.5
Step-by-step explanation:
Given the following
P(A or B) = 0.96
P(A and B) = 0.16
P( A | B ) = 0.32
According to conditional probability
P( A | B ) = P(A and B) /P(B)
0.32 = 0.16/P(B)
P(B)= 0.16/0.32
P(B)= 0.5
P(A or B) = p(A) + p(B) – p(A and B)
Substitute the given values
0.96 = P(A)+ 0.5 - 0.16
P(A) = 0.96 - 0.5 + 0.16
P(A) = 0.62
The value of [tex]P(A)\\[/tex] is [tex]0.62[/tex] and the value of [tex]P(B)[/tex] is [tex]0.5[/tex] .
The possibility of a random event to occur is called probability. It lies between the range of [tex]1[/tex] and [tex]0[/tex].
Given data:
[tex]P(A or B) = 0.96[/tex]
[tex]P(A and B) = 0.16[/tex]
[tex]P( A | B ) = 0.32[/tex]
According to the conditional probability definition,
The occurrence of an event or event that occurs as a result of previous events or events is called conditional probability.
[tex]P( A | B ) = \dfrac{P(A and B)} {P(B)}[/tex]
[tex]0.32 = \dfrac{0.16}{P(B)}[/tex]
[tex]P(B)= \dfrac{0.16}{0.32}[/tex]
[tex]P(B)= 0.5[/tex]
[tex]P(A or B) = p(A) + p(B) - p(A\ and \ B)[/tex]
Substitute the given values in the given relation,
[tex]0.96 = P(A)+ 0.5 - 0.16[/tex]
[tex]P(A) = 0.96 - 0.5 + 0.16[/tex]
[tex]P(A) = 0.62[/tex]
Thus, the value of [tex]P(A) = 0.62[/tex] and the value of [tex]P(B)[/tex] is [tex]0.5[/tex].
Learn more about probability here:
https://brainly.com/question/33406519
#SPJ6
Write an equation in slope-intercept form of the line that passes through the given point and is
parallel to the graph of the given equation.
(-1,6); y = 9x - 5
Answer:
y = 9x - 15
Step-by-step explanation:
The given y = 9x - 5 is already in slope-intercept form. Any line parallel to this one has an equation that looks exactly the same except for the constant term. Call the new constant term 'C.'
Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):
6 = 9(-1) + C, or
6 + 9 = C, or
C = 15
Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is
y = 9x - 15
375 fish are swimming in a school. First, 47 fish swim away. Then 116 more fish join the school. How many fish are in the school now
Answer:
The answer is 444.
Step-by-step explanation:
First, you do 375 - 47 because 47 swam away, decreasing the amount of fish that are swimming in a school. Then, 116 fish come back to swim so you add 116 to get 444.
There are 444 fish in the school now.
What is Unitary Method?The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
The unitary approach is used when we have several goods with varying values in our possession. To get the value of one unit, we simply divide the total value by the number of units.
We have,
375 fish are swimming in a school.
First, 47 fish swim away.
Then 116 more fish join the school.
So, the number of fish in the school now
= 375 - 47 + 116
= 444 fish
Thus, there are 444 fish in school now.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
10. Shown is a circle centre o
BC and D are points on the circumference
ABO S a straight line
AC is a tangent to the circle.
320
A. Find the mZAOC
B. Find the mZBDC
C. Find the mZACD
AB is a a straight line and AC is a tangent to the circle, then the
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
According to the figure,
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
What is the tangent of the circle?It is the line which intersects the circle exactly at one point.
(a) Find m ∠AOC
Sum of three angles of a triangle is = 180°
So, in Triangle AOC = 180°
∠A + ∠O + ∠C = 180°
See in Image, ∠A and ∠C are 90° and 32°
∠A + ∠O + ∠C = 180°
We can substitute these values,
∠O = 180 - ∠A - ∠C
∠O = 180 - 90 - 32
∠O = 58°
∠AOC = 58°
(b) ∠BDC is a parallelogram,
So,
Opposite angle is equal,
∠BDC = ∠ABC
∠BDC = 32° ( since ∠ABC = 32° )
(c) Find m ∠ACD
Sum of three angles of a triangle is = 180°
So, in Triangle ACD = 180°
∠A + ∠C + ∠D = 180°
See in Image, ∠A and ∠D are 90° and 32°
∠A + ∠D + ∠C = 180°
We can substitute these values,
∠C = 180 - ∠A - ∠D
∠C = 180 - 90 - 32
∠C = 58°
Now,
∠ACD = 90 + 58
∠ACD = 148°
Therefore,
The circumference of tangent to the circle,
(a) ∠AOC = 58°
(b) ∠BDC = 32°
(c) ∠ACD = 148°
To learn more about information visit Tangent of the circle :
brainly.com/question/21474278
#SPJ1
HELPPPPPP!!!!
PLEASEEE!!
Upon entering the maze, knights can turn left or turn right. In the second
room, they can turn left or go straight. In the third room, they can find a
secret door or go straight. Map out of the all possible outcomes.
Answer:
1) L R
2) LS LS
3) DS DS DS DS
L = Left
R = Right
S = Straight
D = Door
helpmesolevthisplease
Answer: reflection across the x = -y B
Step-by-step explanation:
The solids are similar. Find the missing dimension.
Ms. Geiger made 100 cupcakes. 60/100 were chocolate, 2/10 were vanilla, and the rest were red velvet. What fraction of the cupcakes were red velvet?
Answer:
2/10
Step-by-step explanation:
Ms. Geiger made 100 cupcakes.
a) Number of chocolate
60/100 were chocolate
= 60/100 × 100 = 60 chocolate cup cakes
b) Number of vanilla
2/10 were vanilla
Hence:
2/10 × 100 = 20 vanilla cup cakes
c) the rest were red velvet.
Number rod red velvet = 100 - (60 + 20)
= 100 - 80
= 20 velvet cupcakes
What fraction of the cupcakes were red velvet?
Converting to fraction
Number of velvet cupcakes/Total number of cakes
= 20/100
= 2/10
Which statements are true? Check all that apply.
The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.
The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.
The area of the sector is 250 units².
The area of the sector is 100 units².
The area of the sector is more than half of the circle’s area.
Answer:
1, 3, 5
Step-by-step explanation:
just took the edge.
The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.
What is sector of circle?A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.
A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².
Therefore, the correct option is option A.
To know more about sector of circle, here:
https://brainly.com/question/15591260
#SPJ7
Given m||n , find the value of x
Answer:
possibly 10
Step-by-step explanation:
im not sure possibly
Looking at the sample space (8 possible
outcomes), what is the probability that yo
would get HHH or TTT?
Answer:
1/4
Step-by-step explanation:
2 outcomes out of a possible 8.
p(HHH or TTT) = 2/8 = 1/4
What is the x-coordinate of the point that divides the directed line segment from J to k into a ratio of 2:5?
Answer:
The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.
Step-by-step explanation:
You want to know how many of the students at your school eat lunch everyday. Of the 3545 students you randomly ask 300. 220 say yes, 70 say no and 10 don't know. Based on your survey what is the best estimate of the number of students who eat lunch everyday?
a.) 3300
b.) 2600
c.) 827
d.) 1500
(no links please!)
Answer:
B) 2600
Step-by-step explanation:
Set up a proportional equation and solve:
220/300=x/3545
(220)(3545)=300x
779900=300x
2599.666=x
2600=x
Your best estimate is B) 2600
0.5 ft
0,4 ft
0.8 ft
Volume of prism =
V = 0.04 ft
O V = 0.064 it
O V = 0.08 it
5) Find the area of the base for the triangular prism.
Type here to search
Bi

Answer:
Huh I don’t understand this one but I got you
Step-by-step explanation:
omg can someone plzz help me
Answer:
do you mean to put it in y=mx+b form because that would be y=2+2
Pls help!!!!
Tickets to a movie were sold at $4 for
adults and $2.50 for students. There
were 450 tickets sold for a total of $1575.
Write and solve the system to determine
how many of each type of ticket were sold.
Answer:
33 student tickets were sold. 70 ADULT TICKETS WERE SOLD.
Step-by-step explanation:
If
173
tickets were of adult total collection would be of
173
⋅
4.00
=
$
692.00
Difference of collection
(
692.00
−
642.50
)
=
$
49.50
is due to student concession of
(
4
−
2.50
)
=
$
1.50
per ticket.
Therefore number of student tickets were
49.50
1.50
=
33
PROOF:
4*70+2.5*30=355
280+75=355
355=355
can i get some help please
Answer:
C
Step-by-step explanation:
It's the only one that is correct for all values
6 1/4 divided by 25.8
Answer:
0.24224806201 or 0.24 or 6/25 or 24%
Step-by-step explanation:
26. Consider the irregular figure.
. 10 cm
14 cm
4 cm
4 cm
- 4 cm T
4 cm
- 16 cm
What is the area of the figure?
Write the answer in the box.
cm?
Answer:
10 cm
Step-by-step explanation:
im smart
Cathy made chocolate peanut butter fudge. She made enough chocolate fudge to fill 5 boxes. If she made 2/3 as much peanut butter fudge, how many boxes will the peanut butter fudge fill?
Answer: 3¹/₃ boxes
Step-by-step explanation:
She made enough fudge to fill up 5 boxes then made 2/3 as much peanut butter.
To find out the number of boxes the peanut butter would fill, simply find out what is 2/3 of 5 boxes:
= 2/3 * 5
= 3.33 boxes
= 3¹/₃ boxes
The plot shown below describes the relationship between students' scores on the first exam in a class and their corresponding scores on the second exam in the class. A line was fit to the data to model the relationship.
Answer: y=x estimate: 88
Step-by-step explanation:
What type of correlation is -0.35?
(SCATTERPLOT ATTACHED)
Daniel earns $760 each month he pays 15% of his earning in tax.
calculate the amount of money Daniel has each month after paying tax
What is the scale factor:
250/686
25/49
5/7
125/343
Answer:
Solution given:
scale factor=V/v=250/686 or 125/343
Answer:
250 and 686 bye
Step-by-step explanation:
done ✔ ⌛ ⏳ ✔ ⌛ ⏳ ✔
I’m having trouble understanding this
(5-3i)+(2+6i)
Answer:
the answer should be 7+3i
What is the image of the point (-8,3)(−8,3) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex](-8,3)\to (3,-(-8))[/tex]
[tex](-8,3)\to (3,8)[/tex]
Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).
6
The scale on a map is 1 : 50 000.
How many kilometres on the ground are represented by 8 cm on the map?
Answer:
400,000km is represented as 8cm on the map!!!
Step-by-step explanation:
1cm=50000km
8cm=x
Criss cross
1cmx=8cm×50000km
divide both side with 1cm
x=8×50000km
x=400,000km
A circle has an area of 25pi Find the radius of the circle.
A. 5
B. 10
C. 25
Answer:
A. 5
Step-by-step explanation:
Given the area of the circle is 25pi. We will divide by pi. Then, the radius of the circle is r= 5.
Please show work on how to do this
Answer:
- 2.71Step-by-step explanation:
2· [tex]4^{v + 4}[/tex] + 20 = 322· [tex]4^{v + 4}[/tex] = 12[tex]4^{v + 4}[/tex] = 6(v + 4) log 4 = log 6v + 4 = log 6 / log 4v + 4 = 1.29 (rounded)v = 1.29 - 4v = - 2.71Sachin wants to create two rectangular enclosures in his backyard with fencing for his pet rabbit and dog.
He wants the two enclosures to have equal areas and to share one common side. He has 30 m of fencing
to use and wants to maximize the total area of both fenced in enclosures. Round your final answer to 2
decimal places, where necessary. Determine the dimensions of one rectangular enclosure.
Answer:
perimeter of rectangular enclosures =30m
2(l+b)=30m
l+b=30/2
l=15-b..........1
now
since it has equal area their l and breadth too are equal
new
perimeter =15/2=7.5m
the dimensions of one rectangular enclosure is 7.5m.
Four stores have the same laptop computer on sale. The regular price of the computer is $600.
Store 1 is offering the computer on sale with a 15% discount. Store 2 is offering the computer on
sale with a $50 off coupon. Store 3 is offering the computer on sale with a rebate of $20. Store 4
is offering the computer for $520. Which store is offering the best deal before taxes?
A Store 1
B Store 2
C Store 3
D Store 4