Answers
Answers:
P(A or B) not mutually exclusiveP(A and B) not independent (aka dependent)P(A and B) independentP(A or B) mutually exclusiveP(A | B)=============================================
Explanation:
The formula we use for "or" cases is
P(A or B) = P(A) + P(B) - P(A and B)
If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.
-----------
For "and" cases, we have two basic flavors
P(A and B) = P(A)*P(B | A)
P(A and B) = P(B)*P(A | B)
We go with the first case for problem 2. These formulas apply if A and B are not independent.
If they are independent, then
P(A and B) = P(A)*P(B)
-----------
Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).
You'll end up with
P(A | B) = P(A and B)/P(B)
which is a conditional probability.
Related Questions
PLEASSE HELP ME WILL MARK YOU!
Answers
Problem 1
Answer: It is possible to draw a triangle
-------------------------
Explanation:
We use the triangle inequality theorem. Consider a triangle with sides a,b,c
A triangle is only possible if and only if the following three inequalities are all true
a+b > cb+c > aa+c > bBasically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.
If a = 3, b = 4, and c = 5, then
a+b = 3+4 = 7 which is indeed larger than c = 5 b+c = 4+5 = 9 which is larger than a = 3a+c = 3+5 = 8 which is larger than b = 4All three conditions are met, therefore we have a triangle possible.
=======================================================
Problem 2
Answer: No, a triangle is not possible
-------------------------
Explanation:
For this problem, and the next two problems, we'll use the triangle inequality theorem also.
Notice that a+b = 4+5 = 9 but this is not larger than c = 9
So the condition a+b > c is not true, and therefore we do not have a triangle possible.
=======================================================
Problem 3
Answer: No, a triangle is not possible
-------------------------
Explanation:
Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.
=======================================================
Problem 4
Answer: It is possible to draw a triangle
-------------------------
Explanation:
A triangle is possible here because
a+b = 3.5+4.5 = 8 which is larger than c = 7b+c = 4.5+7 = 11.5 which is larger than a = 3.5a+c = 3.5+7 = 10.5 which is larger than b = 4.5=======================================================
Problem 5
Answer: a, c, b
-------------------------
Explanation:
Here are two rules we'll use here
The smallest angle is always opposite the smallest sideThe largest angle is always opposite the largest sideThis applies to triangles only.
From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.
Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.
Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.
Answers
you can add like terms here
Answer: (-2x-10y)-(-4x-3y)
-2x-10y-(-4x-3y)
-2x-10y+4x+3y
-2x+4x-10y+3y
-2x+4x-10y+3
Answer =2x-7y
Step-by-step explanation:
What is the value of y?
Answers
Answer:
y= 40
Step-by-step explanation:
The sum of the angle of a triangle is 180
2y+ 50 + y+10 = 180
Combine like terms
3y + 60 =180
Subtract 60 from each side
3y +60-60 = 180-60
3y = 120
Divide by 3
3y/3 = 120/3
y= 40
Answer:
y=40
Step-by-step explanation:
2y+ y+10+50=180
3y+60=180
3y=180-60
3y=12O
y=120/3
y=40
hope it helps:)
50% of a number is 32
what is the number
Answers
Answer:
64
Step-by-step explanation:
Half (50%) of 64 would be 32
Answer:
64
Step-by-step explanation:
let the number be x
according to the question ,
50 % of x = 32
50/100 * x = 32
50x = 32 *100
x = 3200/50
x = 64
therefore a number is 64
A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?
Answers
Answer: 10 years
Explanation:
The original cost of the machine = 20000
The scrap value of the machine = 13122
Value of the machine = ( 20000 - 13122 ) = 6878
Depreciation of the machine for the first year = ( 6878 * 10 % )
= 687.8
So, the effective life of the machine is = ( 6878 / 687.8 )
= 10 years
Somebody help I’m stuck :(
Answers
Answer:
I got x1 =0 x2=220
Step-by-step explanation:
y=- 00.1x (x-220)
-0.01x (x-220)=0
- 1/100 x(x-220)=0
x (x-220)=0
x=0
x-220=0
Answer x=0 and x=220
Question 1 of 30
Find the area of the triangle below.
4 in.
8 in.
Answers
Answer:
16 square inches
Step-by-step explanation:
1/2*4*8
Question 9 of 10
Which expression gives the surface area of a sphere with radius r?
A. pi r^2
В. 4pi r^3
C. 4pi r^2
D. 4 r^2
Answers
Answer:
C. 4 pi r^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
Answers
52 Step-by-step explanation:
Suppose the linear regression line V 4.009x - 77.531 predicts a pizza a
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and V represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 325 pizzas?
Answers
Answer:
$1225.39
Step-by-step explanation:
Amanda buys a 1.5 litre carton of orange juice.
She has a number of plastic cups.
Each plastic cup holds 40 ml when full.
How many cups can Amanda completely fill with orange juice?
Answers
Answer:
Amanda can fill 37.5 cups
Step-by-step explanation:
ratios that are equivalent to 7/6
Answers
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Therefore, 14 : 12 , 21 : 18 and 28 : 24
1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
2. find cos y and tan y if csc y = -√6 / 2 and cot y > 0.
3. Find tan x and sin x if sec x = 6/5 and sin x > 0.
Answers
Step-by-step explanation:
1.
[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]
[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]
Therefore,
[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]
2.
[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]
[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]
Use the identity
[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]
We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:
[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]
3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,
[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]
Solving for tan x:
[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]
Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next test to have mean score of 90?
Answers
Answer:
he needs to get a 91 to have a mean score of 90
Step-by-step explanation:
add up all the known scores to get 629
let 's' = lowest test score
(629 + s) ÷ 8 = 90 [we divide by 8 because there are 7 known and 1 unknown score)
cross-multiply to get:
629 + s = 720
s = 720-629
s = 91
Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with?
Answers
Step-by-step explanation:
22.99 × 2 + 2.02 + 16 × 2 + 26= $106
Plzzz answer I don’t have a lot of time
Answers
Answer:
p=35
Step-by-step explanation:
2p+5+3p =180 degree (being linear pair)
5p+5=180
5p=180-5
p=175/5
p=35
A linear pair is a pair of adjacent angles formed when two lines intersect.
A manufacturer knows that 9% of the products it produces are defective. Find the probability that among 6 randomly selected products, at least one of them is defective.
Answers
Answer:1%
Step-by-step explanation:
the scale is 7 millimeters = 1 meter. what is the scale factor?
Answers
Answer:
1 meter =1,000 millimeters. So, the scale is:
7 mm:1,000 mm Divide both sides by 7
1 mm:142 6/7 mm - This is the scale that was used
Step-by-step explanation:
Which expression represents the length, in inches,
of the framed picture?
Answers
Answer:
No solution is posible from the information provided
Step-by-step explanation:
Answer:
1. B
2. C
3. 8, 36
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. If the continents moved the same amount each year, how much did the continents move in one year?
Answers
Answer:
The continents moved by 1.905 centimeters each year.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. How much it moved in a year?
100 years - 190.5 centimeters.
1 year - x centimeters
[tex]100x = 190.5[/tex]
[tex]x = \frac{190.5}{100}[/tex]
[tex]x = 1.905[/tex]
The continents moved by 1.905 centimeters each year.
16. Find the value of X (In the picture) (giving points to best answer/brainlest)
Answers
Answer:
x = 46°
Step-by-step explanation:
the obtuse triangle is isosceles so the angle adjacent to ∠x is 22°
therefore, ∠x = 180-(90+22+22) = 46
basic triangle proofs
please help
Answers
AD is congruent to DC because they are both created by the midpoint D
so with all the together you can say the triangle are similar by SSS
Answer:
Step-by-step explanation:
Hope this helps u !!!
Find the area of the figure shown
Answers
Answer:
Step-by-step explanation:
how can i get a cientific form number
Answers
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Scientific notation is helpful when dealing with really large numbers with a lot of zeroes because you can express them with smaller numbers, and it looks a lot more simple. It's just a different way to express numbers.
Here's an example : Let's say someone asked me to put the number
650,000,000 into scientific notation.
That would be 6.5 ✕ 10^8
Hope this helps, please mark brainliest if possible. Have a nice day.
Does -5 + 7 - 8 = 6?
Answers
Answer:
-6
Step-by-step explanation:
-5+7=2
2-2=0
0-the remaining 6 of the 8=-6
Explain how to find the inverse of a Log Function. (Algebraically)
Answers
Answer:
Your welcome! :)
Step-by-step explanation:
To find the inverse of a function, we use the following steps:
1. Replace f(x) with y.
2. Interchange x and y.
3. Solve for y.
4. Replace y with f -1 (x).
help me find the answer
Answers
HELP Will mark brainlist
Answers
Answer:
Its B since the decimals are lower than the data.
Can someone help me please
Answers
Answer:
A
Step-by-step explanation:
Answer: It has to be A
Step-by-step explanation: It's the only statement that makes sense.
What is the value of the expression shown below?
Answers
Answer:
23 1/4
Step-by-step explanation:
3/6 ^ 2 = 1/4
7 * 4 = 28
28 + 1/4 = 113/4
113/4 - 5 = 93/4
93/4 = 23 1/4
