Answer:
A and B are independent events because P(AIB) = P(A).
Step-by-step explanation:
got it right on edge
The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
What is Bayes' theorem?
The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.
Suppose that there are two events A and B. Then suppose the conditional probability is:
P(A|B) = probability of occurrence of A given B has already occurred.
P(B|A) = probability of occurrence of B given A has already occurred.
Then, according to Bayes' theorem, we have:
[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]
(assuming the P(B) is not 0)
For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,
P(A∩B) = P(A)·P(B)
Similarly, using the chain rule, for independent events, we can write,
P(A|B) = P(A)
P(B|A) = P(B)
Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).
Learn more about Bayes' Theorem:
https://brainly.com/question/17010130
#SPJ2
how to find area and circunferencr of a circle
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
np (: pls mark brainleist
A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?
Answer:
option 3
Step-by-step explanation:
[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]
An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 100 randomly selected families to see whether an extended season would be of interest to those that may visit the amusement park. What is the best way to randomly choose these 100 families
This is the Step-by-step explanation:
Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.
A random number selector can be used to select 100 families out of the total number of families living within a 50 mile radius of the amusement park.
What is random sampling?Random sampling refers to the process of randomly selecting a set of samples from a population in random manner without bias.
The ransom sampling of the families in the survey can best be done by numbering all the families within a 50 mile radius of the amusement park. A random number selector can then be used to select 100 families out if the total.Learn more about random sampling at: https://brainly.com/question/24466382
#SPJ2
what is the equation of the line that is parallel to 2x = 1 - 3y and passes through (9,4),
A y= -2/3x+10
B y= 2/3x-2
C y=-3/2x+17/2
D y=3/2x-1/2
Answer:
A y= -2/3x+10
Step-by-step explanation:
___________
Answer:
A. y=-2/3x+10
Step-by-step explanation:
...........
4/7=x/12 round to the nearest tenth
Answer:
6.9
Step-by-step explanation:
I will use cross-multiplication for this problem:
[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]
Rounded to tenths:
6.9
help me with this math question it is 4-36=x-180
Answer:
4-36 = -32
-32 + 180 = 148
Therefore | x = 148
I hope I helped! :)
Answer:
148
Step-by-step explanation:
=> -32=x-180
=> -32+180=x
=> 148=x
Mark me brainliest :))
4) Chelsea has homework in six subjects.
She is deciding what order to complete
them in
Answer:
This isn't really a math problem since there aren't many numbers or variables provided to create an equation. So Chelsea can complete her homework in any order of her choice, but I would say that she should complete the homework that's due first before moving onto the more recent homework that was given.
Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3
journals. How many journals can she buy without going over the card's
limit?
Answer:
ty can buy 7 journals
Step-by-step explanation:
Answer:
7 Journals
Step-by-step explanation:
$30-$9=$21
$21/$3=7
Find the Value of X. Thanks.
Answer:
x = 90
Step-by-step explanation:
This will add up to 360 degrees in total
90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!
10
25°
Х
find value of
triangles
Answer:
x = 21.4
Step-by-step explanation:
Reference angle (θ) = 25°
Opposite = 10
Adjacent = x
Apply trigonometric function, TOA:
Tan θ = Opp/Adj
Tan 25 = 10/x
x*Tan 25 = 10
x = 10/Tan 25
x = 21.4450692 ≈ 21.4 (nearest tenth)
Guys I need help, this question is soo hard for me, I can't figure out what's 1+1 I LIKE HAVE NO IDEA
Answer:
i think its 3
Step-by-step explanation:
Answer:
2 : )
Step-by-step explanation:
1 + 1
step by step -
7 + 03 93 fj OIF - 93 85
9352095 jfdos - 039 = 0395
3209 39329 -- - 93590 u -f = 0ig
0uwgw0330 = - 0 935239 5-f p '/ 0320 * 930 9 (09)(0 ))
0 ef= 0 -f- -r3- 32 3t
9t88 2- == 9 -3=t=-2t 99t3t 02itejgqht 9h = -0ei r]3ti
egwieg hwg h0f- e0 -g0 e-f9e0392t ehsf - - d hf kj 9999- )-(-0
jegj h- = 0-0 0 )(() -0102
uq93t -t0 u
wej9gt u-=== == --- - == - -- -= = = = -w= g-=g-w-e =
after years of solving
i have come to the conclusion
that the answer
is
2your welcome.
I NEED HELP WITH GEOMETRY PLEASE HELPPPPPPPPPPPPPPPP
Answer:
need help too
Step-by-step explanation:
hello please help i’ll give brainliest
Explanation:
4. 81
5. 11
6. 9
During a single day at radio station WMZH, the probability that a particular song is played is 1/5. What is the probability that this song will be played on exactly 3 days out of 5 days? Round your answer to the nearest thousandth.
Answer:
the probability that the song should be played on accurately 3 days out of 5 days is 0.051
Step-by-step explanation:
Given that
The probability that a particular song is played is 1 by 5
We need to find out the probability that the song should be played on accurately 3 days out of 5 days
So,
[tex]P(x = 3) = \frac{5!}{3! (5 - 3)!} (\frac{1}{5})^3(1 - \frac{1}{5})^{5-3}[/tex]
= 0.051
Hence, the probability that the song should be played on accurately 3 days out of 5 days is 0.051
The same is considered
Plz answer this question
Which table shows exponential decay?
Sorry can’t get all the graphs but if it’s not one of these then I know it’s the other one
Answer:
The 1st you show is an expositional decay.
Step-by-step explanation:
If you notice it is a declining power of 2
y = 2**(5-x) which is nonlinear
The 2nd is an arithmetic decline (constant decline) and the 3rd is a geometiric decline (constant ratio).
what is 3,24+3,35-5,36 equal to
Answer:
1,23
Step-by-step explanation:
3,24+3,35=6,59
6,59-5,36=1,23
If tan A = 3/4, m < A =
Answer:
2/1 a
Step-by-step explanation:
45 cm
60 om
What is the length of the hypotenuse?
centimeters?
Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value
Answer:
cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d
pls help! fast!! marking brainliest
Answer:
X=15ft
Step-by-step explanation:
17²-8²=225
[tex] \sqrt{225} [/tex]
=15
need this really quick plz
Answer:
Let
x=sin-¹u
Sinx=u
let y=tan-¹v
tany=v
Substituting
Sin[x + y]
Applying the sine expansion
Sinxcosy + CosxSiny
Recall x =Sin-¹u
y=tan-¹v
Sin(Sin-¹u)Cos(tan-¹v) +Cos(sin-¹u)Sin(tan-¹v)
Now at this point
Here's what you do
For the first expression
Sin(Sin-¹u)
Let's simplify this
Let P = Sin-¹u
Taking sine of both sides
SinP=u
Draw a Right angled angle for this
Since Sine from SOHCAHTOA is OPP/HYP
Where P is the angle and u is the opposite and 1 is the hypotenuse since u is the same as u/1
substituting Sin-¹u = P
You have
Sin(Sin-¹u) = SinP
and from the triangle you drew
SinP = u
Taking the second express
Cos(tan-¹v)
Let Q=Tan-¹v
taking tan of both sides
tanQ=v
Draw a right angled triangle for this too
Since Tan from SOHCAHTOA is OPP/ADJ
Find the Hypotenuse cos you'll need it
Now Let's do the substitution again
We first said tan-¹v = Q
When we substitute it in Cos(tan-¹v)
We have CosQ
Cos Q from the second right angle triangle you drew is 1/√1+v²
Because CAH is adj/Hyp
So
the first part of the original Express
Which is
Sin(Sin-¹u)Cos(tan-¹v) is now simplified to
u(1/√1+v²).
Let's Move to the second part of the Original Expression
Cos(Sin-¹u)Sin(tan-¹v)
From our first solution
We said Sin-¹u= P
So replacing it here
we have Cos(sin-¹u) = CosP
let's leave the second one for now which is sin(tan-1v) We'll deal with this after the first
so Cos(Sin-¹u) = CosP
we can still use our first Right angle triangle for this because the angle was P.
so Cos P from that triangle will be
CosP= √1-u²
Now onto the next
Sin(tan-¹v)
From the Second solution of the first we did
we said let Tan-¹v =Q
Substituting this
we have
Sin(tan-¹v) = SinQ
using the second Right angle triangle because its angle is Q
We have
SinQ= v/√1+v²
Answer for second phase Which is
Cos(sin-¹u)Sin(tan-¹v) = √1-u²(v/√1+v²)
We're done
compiling our answers
The answer to
Sin(Sin-¹u - tan-¹v) = u(1/√1+v²) + [(√1-u²)(v/√1+v²)]
You can still choose to factor out 1/√1+v² since it appears on both sides
'I'll mark you brainliest IF you get it correct"
PLEASE ANSWER
Answer:
0.6 feet/hr
Step-by-step explanation:
for each increase of 1 hour in x
there is an increase of 0.6 feet in y
The rate of change is ∆y/∆x
∆y/∆x = 0.6 feet/hr
50.26 to nearest hundredth
Answer:
it's already in the hundredths place
Step-by-step explanation:
.1 <- tens place
.01<- hundredths place
.001<-thousands place
the transfer of energy that occurs when molecules bump into one another is called...
AND
the transfer of heat from molecule-to-molecule contact is?
(the options are the 3 methods of heat transfer)
Answer:
1st one Convection 2nd one Conduction
GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.
Answer:
110 cm²
Step-by-step explanation:
17 · 8
136 cm²
4 · 1.5
6 cm²
5 · 4
20 cm²
20 cm² + 6 cm²
26 cm²
136 cm² - 26 cm²
110 cm²
Bella ordered a $6 smoothie. She paid sales tax of 9% and tipped 15% on the original $6. Including tax and tip, how much did Bella pay?
Answer:
I think the answer is around 24 to 25 dollars.
Bella paid a total amount of $13.49.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
We have,
Bella ordered a $6 smoothie.
Sales tax = 9%
So, amount after tax
= 6 + 9% of 6
= $6.54
and, tip= 15%
Amount after tip
= 6 + 0.15 x 6
= $6.9
Thus, Bella paid
= 6.54 + 6.9
= $13.49
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ2
Choose the inequality that represents the following graph.
(Choice A)
A
x < -4x<−4x, is less than, minus, 4
(Choice B)
B
x \leq -4x≤−4x, is less than or equal to, minus, 4
(Choice C)
C
x > -4x>−4x, is greater than, minus, 4
(Choice D)
D
x \geq -4x≥−4
Answer:
c
my-step explanation:
Khan acadimy
The inequality that represents the following graph is C. x > -4
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.
The inequality that represents the graph;
x > -4x>−4x, is greater than, minus, 4
x > -4
Learn more about inequality ;
brainly.com/question/14164153
#SPJ2
help me youll get brainlyist if right pls help
Answer:
The 2nd one.
(2nd one on the top, to the right of YOUR screen)
How do you Solve the equation 0.4(2x+12) = 3(0.2x -2) -4 *
Answer:
x=16
Step-by-step explanation:
0.4(2x+12) = 3(0.2x -2) -4
[tex]Or,0.8x+4.8=0.6x+12-4\\Or, 0.8x0.6x=8-4.8\\Or,0.2x=3.2\\Or,x=\frac{3.2}{0.2} \\Ot,x=\frac{32}{2} \\Or,x=16[/tex]