P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
https://brainly.com/question/14071639
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday. This is an increase on the average of `8.1` hours per workday in 2014. What is the percent change from 2014 to 2019? Round to the nearest tenth of a percent.
Answer 2019 /0.0047 /2014/ 0.493
Step-by-step explanation:
The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
What is Percent Change?A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.
The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.
Given:
In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.
This is an increase on the average of `8.1` hours per workday in 2014.
So, Percent change = (Final value - initial value) / initial value x 100
Percent change = 8.5 - 8.1 / 8.1 x 100
Percent change = 4.93%
Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.
Learn more about the percent change here:
brainly.com/question/809966
#SPJ2
The perimeter of a rectangular piece of paper is 52 inches. The area is 133 square inches. What are the dimensions of the paper?
____inches by ____ inches
Answer:
7 inches by 19 inches
Step-by-step explanation:
We can use a system of equations for this.
x=length
y=width
2x+2y=52 (Perimeter)
xy=133 (Area)
We must find x and y that fit both these equations.
Hope this helps :)
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds
Answer:
a) gallons
b) gallons
Step-by-step explanation:
a)1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.
__
b)Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.
There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
19/50
Step-by-step explanation:
19 males and 50 people are in total
Answer:
19/50
Step-by-step explanation:
number of men=19
total passengers = 19+31=50
ratio of men to total people's = 19/50
PLEASEEEE HELPPPP ASAPPPP
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
are these equations equal ?
1. 5x^2 + 15 and 5 (x^2 + 3 )
2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
C
Step-by-step explanation:
Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those
Answer:
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Class 11
>>Physics
>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
Question
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
verified
Verified by Toppr
Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
What is the probability of grabbing a blue marble from a bag that contains 4 black, 5 white, 3 red, and
2 blue marbles?
Answer: 1/7
Step-by-step explanation:
You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7
Can anyone help me on this one? i cant identify the "A, B ,C".
"Given the following linear equations in two variables, identify the values of A,B, and C."
Step-by-step explanation:
The standard form of linear equation:
Ax + By + C = 0Convert each equation into standard form:
#53x = 183x + 0y - 18 = 0A = 3, B = 0, C = - 18#6y/2 = - 50x + 1/2y + 5 = 0A = 0, B = 1/2, C = 5Help please. Been stuck for a few mins now.
Answer:
p = -3v: (4, -1)f: (4, -4)d: y = 2Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
_____
Additional comment
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
Giving brainiest pls help
Answer:
Ivan: 4
Caleb: 4, 4, 4, 4, 4, 4, 4
Step-by-step explanation:
For every 4 Ivan sees, Caleb sees 28. (4 times 7)
A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points
Answer:
$138
Step-by-step explanation:
120 · 0.15 = 18
120 + 18 = 138
Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
y=3x+4
y=3x+3
Select the correct answer from the drop-down menu.
Answer:
y=3x+4 I think I am correct hola amigo señorita a person in my class is called adiola adiola adiola hah
Answer:
Its inconsistent
Step-by-step explanation:
If you are doing 5.11 Unit Test: Systems of Equations - Part 1 from K12, this is your answer
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution. Since there are no solutions, its inconsistent.
If it has at least ONE solution, its consistent.
If it has EXACTLY ONE solution, its consistent in dependable
If it has INFINITE AMOUNT of solutions, its consistent dependable
-x - 11 and the opposite of -11
Answer:
The opposite of -11 is 11, and I dont understand what else you're asking
Step-by-step explanation:
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
a box of 10 balls for $9?
Step-by-step explanation:
because u buy 10 tennis balls for 9 dollars and the first one is not true
becuase u buy 3 balls of tennis with 3 dollars and the last answer is right
becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls
hope it helps
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?
The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
Learn more on inequality here: https://brainly.com/question/4192645
Answer:x=7
Step-by-step explanation:
how to solve 1/2x +8 = 7+ 1/2x
[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)
P/s: [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]
Ok done. Thank to me :>
i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
Answers i can choose from
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses 4th grade work
Answer:
It's C
Step-by-step explanation:
You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho
Can I get some help im not understanding this thing
Answer:
$500
Step-by-step explanation:
what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.
2002 - 2008 = 6 2008 - 2020 = 12
$200 - $350 = 150 $350 + 150 = $500
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown?
Answer:
y > 3x - 4
Step-by-step explanation:
lmk if you want an explanation
if you drove 200 miles at an average speed of 55 miles per hour, how long did it take you to drive 200 miles? pls help
Answer:
3 hours 38 minutes is what calculators online say
Step-by-step explanation:
My friend needs your help
Answer:
Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you
Step-by-step explanation:
Have a great rest of your day
#Nova
Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help
Answer: 1.25 problems/min
32 minutes --> 40 problems
1 minute --> 40/32
--> 1.25
Awnser please jsjshshshdh
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
Help!!! Ill give 100 points!
Answer:
7/20
Step-by-step explanation:
Answer: if you calculate math yo7 would get 7/20
Step-by-step explanation:
Manuel has 4
4 gallons of diesel in his tractor. If the tractor holds 7 gallons of diesel
many more gallons does he need to add to completely fill the tractor's fuel tank
Answer:
3
Step-by-step explanation:
7-4=3
Answer:
He has three!
Step-by-step explanation:
7-4=3 so manuel needs three more gallons! Hope this helps! :)
Are all real numbers either rational or irrational?
Answer:
Yes. All real numbers are either rational or irrational.
Step-by-step explanation:
The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.
Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.
For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)
Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.
Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.