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
Determine the measures of the following; (SOMEONE PLS) :v
arc AC=27°
arc BD=33°
arc CB=120°
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Use the figure to find the Volume.
Answer:
12π un^3
Step-by-step explanation:
Use the fomula: V= πr2 h
The radius is 2 and the height is 3.
I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .
The work is in the screen shot goodluck.
Hope this helped!
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two numbered cubes are rolled then a spinner with 4 different colors on it spun twice then two coins are flipped how many total possible outcomes are their(show you working out)
Answer: 12 possible outcomes in total
Step-by-step explanation:
Hertz and Enterprise are rental car companies. Hertz charge's $50 for the rental, plus $40 for each day. Enterprise charges $40 for the rental, plus $45 for each day. What is the first day that Enterprise will be more expensive?
Answer:
I believe it will be day 3
Step-by-step explanation:
Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85
day 2 (H)
130
day 2 (E)
130
day 3 (H)
170
day 3 (E)
175
What classification of quadrilateral is show? Explain
Simplify.
Please help!!
Answer:
m√n+2n-n√m
Step-by-step explanation:
4√n^2+√m^2n-√4n^2-√mn^2
m√n+2n-n√m
w
What is the value of a?
4
5 units
C
Os units
O 6 units
O 7 units
Answer:
B.5 1/3
Step-by-step explanation:
got it right on edge
The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.
By Pythagoras theorem,
c²=4²+3²
c²=16+9
c²=25
c=5 units
In triangle WXZ,
(3+a)²=5²+b² ----(i)
From the triangle WXY,
b²=4²+a² ------(ii)
From equation (i) and (ii), we get
(3+a)²=5²+4²+a²
9+6a+a²=41+a²
6a=32
a=32/6
a=[tex]5\frac{1}{3}[/tex] units
Therefore, option B is the correct answer.
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Consider △BTW as pictured below.
Find m
Answer:
m<W: 23
Step-by-step explanation:
8x - 9 + 30x - 4 + 13x - 11 = 180
51x - 24 = 180
51x = 204
x = 4
m<W:
8x - 9
8(4) - 9
32 - 9
23
Can someone help please
Answer:
Angle 2 = 34 degrees
Angle 4 = 34 degrees
Step-by-step explanation:
Angle 7 = Angle 1
180 - 146 = 34 degrees
so Angle 2 and 4 are 34 degrees, since they are congruent.
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if i have 46% of something done but i need 100% done in 25 days how many percent should i complete everyday by
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.
Answer:
Search for space diags
Step-by-step explanation:
you will find answer
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 480000 CM ^3
Explanation:
I hope this helped!
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PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
There is no mode (B)
Step-by-step explanation:
If f(x) = 2(3)^x and g (x) = 25 and h(x) = f(x) + g (x) what's is the equation for h(x)
Answer:
h(x) = 2(3)^x + 25
Step-by-step explanation:
pls help me i will give brainliest
Topic: Solving Word Problems Involving Linear Equations in One Variable
please show process.....
To do a job alone, it would take Beane 3 hours, Elle 4 hours and Rye 6 hours. How long would it take them to finish the job if they work together?
Step-by-step explanation:
13 hours
6 + 4 + 3 = 13
correct if wrong
Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT
Answer:
the answer is c because it is over xaxis
What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters
Answer:
B. 40 meters
Step-by-step explanation:
there are 100 cm in a meter
we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.
4,000/100 = 40
Therefore, the answer is B. 40 meters
hope this helps :)
A sporting goods store is discounting all
sports balls 55%. Which value is equivalent to this
percent?
A. 15/25
B. 11/20
C. 5/10
D. 5/55
change 5 feet 10 inches to centimetres
Answer:
177.8
Step-by-step explanation:
There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8
Find the measure of an angle whose supplement measures two times its measure
Answer:
first angle = 60
second angle = 120
Step-by-step explanation:
Let the first angle x
Let the second angle = 2x
x + 2x = 180 Supplementary angles = 180 degrees
3x = 180 Divide by 3
3x/3 = 180/3
x = 60
2x = 120
5 2/6 - 2 3/6 in simplest form
Answer:
I believe 25/ 6 is the answer
Step-by-step explanation:
Which numbers belong to the solution set of the inequality? x+6= 42
Answer:
36
Step-by-step explanation:
Answer:
x=36 is your answer
Step-by-step explanation:
Simplifying
x + 6 = 42
Reorder the terms:
6 + x = 42
Solving
6 + x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + x = 42 + -6
Combine like terms: 6 + -6 = 0
0 + x = 42 + -6
x = 42 + -6
Combine like terms: 42 + -6 = 36
x = 36
Simplifying
x = 36
Two more than five times a number is less than or equal to 47
WRITE THAT AS AN INEQUALITY. IF YOU DON'T KNOW WHAT THAT IS THIS IS AN EXAMPLE 3g - 4 ≥ 17
Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5
Answer:
Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.
Step-by-step explanation:
(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.
What is the System of equations?Inconsistent SystemFor a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.
Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.
Hence, the ordered pair (-1,3) is not the solution of the given system of equations.
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The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.
What is the volume of the pyramid?
72 cm³
48 cm³
32 cm³
60 cm³
Answer:
72 cm³
Step-by-step explanation:
i just took the test :)
The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).
What is the volume of a right square pyramid?The formula for the volume of a right square pyramid is:
V = (1/3) B × h
where B is the area of the base and h is the height of the pyramid.
Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.
The area of the square base is:
B = s² = 6² = 36 cm²
The volume of a right square pyramid is:
V = (1/3) B × h
Substituting in the given values, we get:
V = (1/3) × 36 × 6
V = 72 cm³
Therefore, the volume of the pyramid is 72 cm³.
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NEED HELP MY GRADE DEPENDS ON ITT!!!!!!!! I will mark brainliest answer.
find the value of f and g in the figure below.
Answer:
DONT PRESS THAT LINK
Step-by-step explanation:
helppppppppppppppppppppppp
Answer:
E = N × C
for
E: earnings
N: number sold
C: cost
she will make:
50 × 1.25 = $62.5
What is 30 % of 69.95
Answer:
20.985
Step-by-step explanation:
How do I calculate 30 percent off?
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
The tree diagram represents an
experiment consisting of two trials.
.3
.4
B
Answer:
.32
Step-by-step explanation:
.4x.8=.32
HELP PLZ, 100 points!!!
hope it helps you ❣️
Answer:
10.25%
Step-by-step explanation:
Let the original number be represented with x.
Increase by 5% = 5% of x = 5/100 x X = 0.05x
So, the next number = x + 0.05x = 1.05x
Increase again by 5% = 5% of 1.05x = 5/100
x1.05x = 0.05 x 1.05x = 0.0525
So, the current number = 1.05x + 0.0525x =1.1025x
[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]
find the area of the figure use 3.14 for pie