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
help plz (asap) ..............................................................................
Answer:
oof u alone kid
Step-by-step explanation:
May I please receive help?
no
.........................................................
a. Examine the zeros of the graph, and write a function that models this situation.
b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.
Answer:
See below
Step-by-step explanation:
A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700
B) View attached screenshot for reference
what is 12x⁸/3x² in simplest form, where x>0?
[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]
Answer:
[tex] {4x}^{6} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the distance between the following points?
Answer choices
A 9
B 10
C square root of 21
D square root of 58
Answer: 9 is incorrect the anwser is acactually D . The square root of 58
Step-by-step explanation:
While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at the same rate, how much will Austin earn?
Power Lawn Edger
x=13 1/2 or 13.50$
x=12 1/2 or $12.50
x=14 3/4 or 14.75
x=12 or 1/4 or $12.25
At a restaurant, 30% of customers donate to charity in exchange for a coupon. Estimate the probability that it will take at least four customers to find one who donates.
Answer:
75.99%
Step-by-step explanation:
To calculate this, we can use complements. We can find, instead the probability that at least one will donate, the probability that not none of them will donate.
First, we can find the probability that none will donate, which will be (70%)^4, since the chance each will not donate is the same. From this we get 24.01%.
To find the probability that at least one donates, we do the complement:
100%-24.01%=75.99%
Given the graph below. What is the axis of symmetry (vertex)of the parabola?
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
Katie earns 15$ each hour. Round to total time katie worked to the nearest hour and estimate her pay by using mulitplacation
Answer:
How long did she work for though?
Step-by-step explanation:
pls help me I need it ASAP
Answer:
1) 1600cm² 2 )4095cm² 3) 550cm²
Step-by-step explanation:
Because area is length times width, you can use that on these problems.
1) 40*40=1600
2)65*63=4095
3)25*22=550
Help: Justify why one relation is a function and why the other is not. Relation 1:
(1,2) (2,4) (3,6) (4,8)
Relation 2: (1, 3), (4, 2), (7, 1), (4,
Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.
On the other hand, relation 2 is not a function because x = 4 repeats itself. The input x = 4 leads to more than one output.
is -2x+3 the same as 2x-3
Answer:
no they are different numbers, however their signs are inverted
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-2x+3 is not the same as 2x-3 because, let's say we set each equation equal to something...
-2x+3 = 10 2x-3 = 10
-3 -3 +3 +3
------------------ -----------------
-2x = 7 2x = 13
x = [tex]\frac{7}{2}[/tex] x = [tex]\frac{13}{2}[/tex]
x = 3.5 x = 6.5
As we can see, these equations are not the same, because, when we set them equal to the same value, the answers are different.
Hope this helps! :D
120% of what number is
54?
Answer:
45
Step-by-step explanation:
Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)
Answer:
The solution would be C. (2, -4)
Step-by-step explanation: Equation: 2y = -3x - 2
1. (2, -3)
2(-3) = -3(2) - 2
-6 = -6 - 2
-6 = -8 (Not a solution)
2. (-3, 2)
2(2) = -3(-3) - 2
4 = 9 - 2
4 = 7 (Not a solution)
3. (2, -4)
2(-4) = -3(2) - 2
-8 = -6 - 2
-8 = -8 (Solution)
4. (-4, 2)
2(2) = -4(-4) - 2
4 = 12 - 2
4 = 10 (Not a solution)
Help on these two please
Answer:
21
Step-by-step explanation:
CANT SEE THEM
Suppose you have 5 different colored shirts (grey, white, black, brown, and orange) and 4 kinds of pants (jeans, sweatpants, khakis, and plaid).
What is the probability on Monday you wear a grey shirt with jeans and put it in the laundry, then on Tuesday wear a black shirt with sweatpants?
OA)
OB)
OC)
OD
Done and Review
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INTL 0
Answer:
A
i will go with a. hope to help u
Average 8, 14, and 11
Answer:
Step-by-step explanation:
you add 8,14, and 11 to get 33 then you divide it by 3, because there are 3 numbers meaning the average is 11.
If that makes, all you have to do is add up all the numbers then divide by the amount of numbers you see to find the average of the numbers.
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{The word \underline{average} is basically the \boxed{\bf mean} of a data set. When you }\\\large\text{hear or see the word \underline{average} in math think of its asking you to \boxed{\bf find \ your \ total}}\\\large\text{in your data set.}[/tex]
[tex]\large\text{Here is the formula to make it easier to solve}\downarrow[/tex]
[tex]\mathbf{mean = \dfrac{sum\ of\ all\ terms}{number\ of\ terms}}}[/tex]
[tex]\large\text{YOUR EQUATION:}[/tex]
[tex]\mathbf{average = \dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{\dfrac{8 + 14 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{22 + 11}{3}}[/tex]
[tex]\mathbf{= \dfrac{33}{3}}[/tex]
[tex]\mathbf{= \dfrac{33\div3}{3\div3}}[/tex]
[tex]\mathbf{= \dfrac{11}{1}}[/tex] [tex]\mathbf{\rightarrow 11\div1}[/tex]
[tex]\mathbf{= 11}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer should be: \textsf{11}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)
A x=-3.5
b x=-1
c x = 0.25
d x=-2
Answer:
A: X= -3.5
I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.
Will give BRAINLIEST
Answer:
Point B is
Step-by-step explanation:
Answer:
B (-2,-4)
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
19 more than a number c is 4.
[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]
-4-(-8) divided by 4
Answer:
1
Step-by-step explanation:
-4 minus -8 is the same as 8 - 4 which is 4 and 4 divided by 4 is 1.
Answer:
8
Step-by-step explanation:
h(x) = 4x + 3; Find h(1)
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
h(1) = 4(1) + 3
h(1) = 4 + 3
h(1) = 7
A smoothie calls for of a peach, 8. of a banana, and a kiwi. What is the total quantity of fruits used for the smoothie
No of banana and kiwi = 8
So,
= 8×8
=64
2. The wholesale price of the skirt is $12 and the retail price is $24.
How much is the markup?
nah
So ein
What percent of the wholesale price is the markup?
With the sale price being $12 and the retail price being 24, it is a 12 dollar markup or 50% considerably.
What is the probability of rolling an even number on a number cube and flipping a tails on a coin?
Answer:
25% or 1 in 4 chance.
Step-by-step explanation:
The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.
3/6 can be re-written as 1/2.
The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.
So then, multiply 1/2 by 1/2 to get 1/4.
Solve the system with elimination:
5x - y =1
10x + 3y = 7
Answer:
X = 2/5
y = 1
Is this what your looking for?
Step-by-step explanation:
please help quick
Which equation has only two solutions: x=3
and x=−3
?
A
x2=6
B
x3=27
C
x2=9
D
x3=9
Answer:
x^2 = 9
Step-by-step explanation:
Both 3 and -3 are 9 when squared.
The base area of a box is 36 square inches. If the volume of the box is 108 cubic inches, what is the height of the box?
The height of a box that has a base area of 36 sq. in. and a volume of 108 cubic inches is: 3 inches.
Recall:
The formula for the volume of a box = base area × height
Given the following dimensions:
base area of box = 36 sq. in.
Volume = 108 cubic inches.
Required: height of the box
Plug in the given values into the formula for the volume of a box
108 = 36 × height
Divide both sides by 36
height = 108/36
height = 3 inches
Learn more about the Volume of a box on:
https://brainly.com/question/14957364
25 Points!! :D
Complete the interphase part of the data from your data table.
Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase