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.
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If ∠AFB and ∠DFE are congruent, what term describes ∠BFE and ∠AFD?
Answer:
If you add a picture I can help
Step-by-step explanation:
I need to see what the figure looks like
Nêu định nghĩa số hữu tỉ? Nêu quy tắc cộng, trừ, nhân ,chia số hữu tỉ?
số hữu tỉ là các số x có thể biểu diễn dưới dạng phân số [tex]\frac{a}{b}[/tex] trong đó a và b là các số nguyên với b {\displaystyle \neq }\neq 0.[1] Tập hợp số hữu tỉ ký hiệu là {\displaystyle \mathbb {Q} }{\displaystyle \mathbb {Q} }.[2]
Step-by-step explanat
ion:
Answer:
Step-by-step explanation:
Answer with the explanation step by step
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.
a (6 + 14) ÷ 4
b 14 ÷ 4 + 6
c 4 x 4 – 6
d 14 x 6 ÷ 4
Answer:
A
Step-by-step explanation:
Help! Pls I’m struggling
Answer:
the x^2 column would have a "22" between the 4 & 5
Step-by-step explanation:
x x^2
0 0
1 1
2 4
3 9
4 16
5 25
6 36
Answer:
Step-by-step explanation:
√22
-number 22 is between what two perfect squares?
4² =16 < 22 < 5² =25
therefore the result is a number between 4 and 5
-you can use a calculator to check your answer √22 ≈4.7
If x and y vary inversely . When x = 4 and y = 2x , what is the value of y when x = 16 ?
the value of y is thirty-two (32)
evaluate each algebraic expression for the given values if the variable
[tex](4d)( - 5d)[/tex]
d= -8
Answer:
1280
Step-by-step explanation:
4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280
CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?
Answer:
40 coats don't have hoods
Which point has the coordinates (-3.5, 7)?
Answer:
Q
Step-by-step explanation:
The coordinates are ( x,y)
negative 3.5 goes 3.5 units to the left
7 goes 7 units up
Answer:
Q
Step-by-step explanation:
The x coordinates is - 3.5 so we go left to - 3 and half way to 4 to get 0.5
the Y coordinates is 7, so we go up the Y axis to 7. We can then see that Q is located there
Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school
Answer: See explanation
Step-by-step explanation:
The question isn't complete. Here is the completed question that I got online.
Fifteen hundred (1500) randomly selected South Carolina kindergarten
students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:
Sample:
Variable:
Sample Size:
Sample Space:
The variable is: (qualitative/quantitative)
If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?
Sample: The sample is 1500.
Variable: This is the number of students who know how to tie their shoes.
Sample Size: 1500
Sample Space: The total number of students in South Carolina kindergarten
The variable is quantitative since they're counted.
If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:
= 40% × 58135
= 0.4 × 58315
= 23254
Help me answer this, Thank you
Answer:
Step-by-step explanation:
rotate it in a full circle
Beverly fpund a magic bean. If she puts it in the soil , every single day it will grow 4 cm. After how many days will it be 14.56 meters tall
Answer:
364 days
Step-by-step explanation:
Magic bean will take 364 days to grow 14.56 m tall.
What is Unit Conversion?A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.
Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.
First we need to convert the height in m into cm.
14.56 m=14.56*100=1456 cm
If it grows 4 cm in one day then:
It will take 1456/4=364 days (a year) to grow completely.
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1. Write three different solutions of 4x - 2y = 8. plzz answer fast
Answer:
y=-4+2x
x=(4+y)/2
2x-y=4
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20
Answer:
centre = (- 1, - 2 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 2x + y² + 4y = 20
To obtain equation in standard form use method of completing the square
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4
(x + 1)² + (y + 2)² = 25 = 5² ← in standard form
with centre = (- 1, - 2 ) and r = 5
Rewrite the expression in the form y^n. y^9/y^2=
Answer:
y^7
Step-by-step explanation:
We know that a^b / a^c = a^( b-c)
y^9/y^2
y^(9-2)
y^7
Answer:
Step-by-step explanation:
The rule for division when the bases are like is to subtract the exponents:
[tex]\frac{y^9}{y^2}=y^{9-2}=y^7[/tex]
if a = 4 b = 5 find the value of a^2+ab^2+y^2
Answer:
121
Step-by-step explanation:
Given,
a = 4
b = 5
a² + ab² + b²
= 4² + 5 x 4² + 5²
= 16 + 80 + 25
= 121
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Help me please, asap
Answer:
k = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
X| 1 2 5 10 30
Y| 3 6 15 30 90
which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Answer:
the answer to your question is D
is x = 12 a solution to the equation 6 + x = 19
Answer:
Incorrect.
Step-by-step explanation:
6 + x = 19
Plug in when x = 12
6 + 12 = 19
18 = 19
It is incorrect, so 12 is not a solution.
Answer:
It is not a solution
Step-by-step explanation:
6 + x = 19
Substitute into the equation and see if it is true
6+12 = 19
18 =19
This is not true so it is not a solution
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
What are the root(s) of the quadratic equation whose related function is graphed below?
Answer:
0 and 4
Step-by-step explanation:
roots are where the graph intersects at x axis
The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.
What is the quadratic equation?A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.
If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.
The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.
From the given option the roots of the equation are 0 and 4 both are positive.
Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.
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Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $23 monthly fee and charges an additional $0.11 for each minute of calls. The second plan has no monthly fee but charges $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
575 minutes
Step-by-step explanation:
this is a systems of equations problem
2 plans, 2 equations
Scenario 1:
$23 is a mandatory fee, 11 cents per minute
x=23+0.11m (x= total cost, m= minutes called)
Scenario 2:
There is no mandatory fee, but there is a higer 15 cents per minute
x=0.15m (y=total cost, m=minutes called)
Set them equal to each other because you want to know when they become equal
23+0.11m=0.15m
23=0.04m
m=575
Answer:
Plan 1: 65 minutes, Plan 2: 201 minutes
Step-by-step explanation:
Not sure if this is the answer that you need but here is the math that i did..
Plan 1: $23 + $0.11/min
$0.11 x 65 minutes will give you a total of $7.15 + the inital $23 = $30.15
Plan 2: $0 + $0.15/min
$0.15 × 201 minutes will give you a total of $30.15
I hope this helps!
3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm
Answer:
6 cm
Step-by-step explanation:
6 cm×6cm×6cm=216 cm³
PQRS is a parallelogram. Answer the questions below.
Answer:
4. SR= 17 (opposite angle of parallogram are equal)
PLEASE! I need Help. 50 POINTS!!
Answer:
-5^ 5
Step-by-step explanation:
-5^7 ÷ -5^2
We know that a^b ÷ a^c = a^ (b-c)
-5^(7 - 2)
-5^ 5
Answer:
C
Step-by-step explanation:
subtract exponents
Please help out explanation need it
Answer:
156m^2
Step-by-step explanation:
I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36
The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.
120+36=156. The surface area of the rectangle is 156m^2
Function expressed by the formula y=-0.5x. Is there a value of x for which
y=-150? If there is such a value, compute it.
Answer:
x=300
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
−150=−0.5x
Divide both sides by −0.5.
−0.5
−150
=x
Expand
−0.5
−150
by multiplying both numerator and the denominator by 10.
−5
−1500
=x
Divide −1500 by −5 to get 300.
300=x
Swap sides so that all variable terms are on the left hand side.
x=300
Hope this helped!
Which is a desirable characteristic when choosing a line of credit?
a. rewards program
b. annual fee
c. amount of down payment
d. amount of collateral
Answer:
Rewards program
Step-by-step explanation:
A line of credit is a predetermined quantity of money that somehow a bank lends to a person and is issued by a financial company. Reward programme: Reward program's internet shopping centre goods were exchanged and point can redeem for items using Reward program's internet shopping mall points.
Answer:
A. rewards
Step-by-step explanation:
1. Find the sum of csc230° and cot2 45°.
Answer:
5
Step-by-step explanation:
Based on the given conditions, formulate
Evaluate the expression:
Calculate the power:
Calculate the first two terms:
Answer:
