Answer:
A. 0.005 = 0.5% probability that the parcel went via El and was late
B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. 0.8148 = 81.48% probability that is was not sent via E1
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.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
50% are chosen via E1, and of those, 1% were late. So
[tex]p = 0.5*0.01 = 0.005[/tex]
0.005 = 0.5% probability that the parcel went via El and was late
B. What is the probability that a randomly selected parcel arrived late?
1% of 50%(via E1)
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]
0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Conditional Probability.
Event A: Late
Event B: Not sent via E1
0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]
Late and not sent via E1:
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]
0.8148 = 81.48% probability that is was not sent via E1
PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS
cut off the topright rectangle so there are 2 rectangles.
That will make it look like this
2x3=6
+
5x3=15
=
21
The area of that shape would be 21 square feet
21 square ft
u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;
What is equivalent to (2x - 5)(9-2)
Answer:
14x - 35
Step-by-step explanation:
:)
(10y + 3) - (2y - 2)
Answer:
8y+5
Step-by-step explanation:
What is the value of n
18 1/4 ÷ 8? Will give brainliest
Answer:
9/16
fillerfillerfillerfiller
Answer:
9/16 i think this is right
Step-by-step explanation:
A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building will the ladder reach?
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
Please I really need help please please please please please please please please please
9514 1404 393
Answer:
D and E are each 62 cm
Step-by-step explanation:
Apparently, you want the total width of the bookcases to match the width of the wall.
132 +92 +108 +w +w = 456
332 +2w = 456
2w = 124 . . . . . . . subtract 332
w = 62 . . . . . . . . . divide by 2
The width of bookcases D and E is 62 cm.
(PLEASE HELP)James tosses a coin 50 times. It lands on heads 23 times and on tails 27 times.
What is the relative frequency of the coin landing on heads in this experiment?
A 23%
B 46%
C 50%
D 54%
Answer:
b
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
Answer:
i liked this it made me feel smart. but julie will ride further by 4/15 miles
Step-by-step explanation:
This graph shows how fast a race car can travel in a stock car race
What is the meaning of the point with an x-coordinate of 2?
A. The race car travels 2 meters in 180 seconds
B. In 1 second, the race car travels 2 meters
C. In 2 seconds, the race car travels 180 meters.
D. It takes the race car 60 seconds to go 2 meters
Answer:
C. In 2 seconds, the race car travels 180 meters.
Step-by-step explanation:
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
There were 58 frogs in a pond.f of the frogs hopped away.Choose the expression that shows how many frogs are in the pond.
A. f - 58
B. 58 - f
C. f + 58
D. f
If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent comedy?
Favorite Types of Movies
Votes
Type
Comedy
45
Adventure
56
Mystery
39
Ο Α. 1
2
11 /
OB. 1
3
0 C
4
O D. 1
The fraction of the circle that would represent comedy is approximately equal to: B. 1/3.
What is a pie chart?In Mathematics, a pie chart is sometimes referred to as a circle graph and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.
Next, we would determine the total number of votes as follows;
Total votes = 45 + 56 + 39
Total votes = 140 votes.
Now, we can calculate the fraction of the circle that would represent comedy by using this mathematical expression;
Fraction of comedy = votes of comedy/total votes
Fraction of comedy = 45/140
Fraction of comedy = 9/28 ≈ 1/3.
Read more on fraction here: https://brainly.com/question/2918714
#SPJ1
Pls help me i didnt understand this!!
Answer:
90
Step-by-step explanation:
I don't know to explain but I believe I'm right
13 An archaeologist plans to excavate a circular burial
mound with radius 23 m
What is the circumference of the mound?
Answer:
C ≈ 144.51m
explanation
C = 2 x pie(math's one not the other one) x r
C = 2 x pie x 23
C = 144.51
I hope this helps a little bit.
HELPPPPP Find the value of x.
its 60 answer C.............
Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
pls HELPPP !
solve the systems of equations of x+2y=21 and -2x-y=-12
Answer:
I really hope it's right!
Please help this is due TODAY
Calculate the unknown variable value .
Do not answer with a one answer, blank or a ridiculous answer please this is serious.
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
>Vertex
(5/2, 11/2)
(-5/2, 11/2)
(5, -7)
Given:
The quadratic equation is
[tex]-2x^2-y+10x-7=0[/tex]
To find:
The vertex of the given quadratic equation.
Solution:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
We have,
[tex]-2x^2-y+10x-7=0[/tex]
It can be written as
[tex]-2x^2+10x-7=y[/tex]
[tex]y=-2x^2+10x-7[/tex] ...(i)
Here, [tex]a=-2,b=10,c=-7[/tex].
[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]
Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get
[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]
[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]
[tex]y=\dfrac{-50}{4}+25-7[/tex]
[tex]y=\dfrac{-25}{2}+18[/tex]
On further simplification, we get
[tex]y=\dfrac{-25+36}{2}[/tex]
[tex]y=\dfrac{11}{2}[/tex]
So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].
Therefore, the correct option is A.
What is the solution to the inequality below?
21x-12x54
Answer:
Use Photo Math, it will explain all of the steps.
Chris and Pat worked the same number of days and earned equal amounts of money, Chris earned a rate of $75 per day. Pat earned a rate of $50 per day and
received a honus of $125 How many days did each of them work
Answer:
A, 5 days
Step-by-step explanation:
Let's set the number of days as x. Then, the amount of money each person earned is:
Chris: 75 * x
Pat: 50 * x + 125
Then, because these are equal amounts,
75x = 50x + 125
Subtract 50x from both sides.
25x = 125
Divide both sides by 25.
x = 5
So, they worked for 5 days, or option A.
what note receive one beat in 4/4
Answer:
Step-by-step explanation:
A quarter-note.
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams
Answer: 90.93%
Step-by-step explanation:
M= 372
s= 26
n=36
P(365<x<380)
1. Find Z ----> 365-372 [tex]\sqrt{36}[/tex] = -1.6 Next Z----> 380 - 372 [tex]\sqrt{36}[/tex]= 1.8
26 26
2. plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380
1. Consider the surface area of the following pyramid.
Calculate the total surface area of the pyramid. Show your work!
Answer:
Answer:
45 cm
Step-by-step explanation:
You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square
A coach of a baseball team looked over his roster at the beginning of spring training. He noticed some things: Every outfielder is a switch hitter. Half of all infielders are switch hitters. Half of all switch hitters are outfielders. There are 14 infielders and 8 outfielders. No infielder is an outfielder. How many switch hitters are neither outfielders nor infielders
Answer:
112
Step-by-step explanation:
I just multiplied 14 & 8 and I got 112. I hope this helps.
- Bluewolf
Find the value of x
Pls help
Answer:
10
Step-by-step explanation:
Both angles will be equal as they are opposite angles
➝13x=130
➝x=130/13
➝x=10
Please need help thank you
Answer:
9
Step-by-step explanation:
Answer:
9 clients ran at least 2 laps
Step-by-step explanation:
5 clients ran 2 laps, and 4 clients ran 3 laps