Given:
[tex]P(A\cap B)=\dfrac{3}{4}[/tex]
[tex]P(B)=\dfrac{4}{5}[/tex]
To find:
The [tex]P(A|B)[/tex].
Solution:
Conditional probability:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Substituting the given values, we get
[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]
[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]
[tex]P(A|B)=\dfrac{16}{16}[/tex]
Therefore, the correct option is B.
Which of the following polygons can form a regular tessellation?
O A. Regular hexagon
B. Parallelogram
c. Rectangle
D. Regular pentagon
Answer:
A
Step-by-step explanation:
A
Solve for x. Thank you
Answer:
Step-by-step explanation:
B/c the bigger triangle is a copy of the smaller we can say
8[tex]\sqrt{3}[/tex] / 12 = x / 8[tex]\sqrt{3}[/tex]
then, solve for x
8[tex]\sqrt{3}[/tex](8[tex]\sqrt{3}[/tex]/12) = x
(64 *3) 12 = x
192 /12 = x
16 = x
nice, the first answer looks good , then :P
Answer:
16
Step-by-step explanation:
If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is
Answer:
7
Step-by-step explanation:
All functions have a domain and a range.
True
False
Answer:
True
Step-by-step explanation:
The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.
the theater sells two types of tickets: adult tickets for $6 and child tickets for 5$. last night, the theatre sold a total of 375 tickets for a total of $2153. How many adult tickets did the theatre sell
Answer:
358
Step-by-step explanation:
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
the first option
Step-by-step explanation:
it is directly there in the problem description.
f(x) = 1.8x - 10
g(x) = -4
so, for f(x)=g(x) that automatically means
1.8x - 10 = -4
1.8x = 6
x = 6/1.8 = (6/1) / (18/10) = 10×6 / 18×1 = 60/18 = 10/3
If the numerator and the numerator of a fraction are subtracted 1, the resulting fraction is 2/3, if the resulting fraction is increased by 1, the resulting fraction is 3/4, determines the fraction.
Answer:
Simplify the expression.
Exact Form:
1 /2
Decimal Form:
0.5
Answer:
The Answer is
Fraction Form: 1/2
Decimal Form: 0.5
Percentage form: 50%
Step-by-step explanation:
I got the answer 1/2 by Adding 1 by 2/3, And then after that I got the answer 2/3 and with that I multiplyied it with 3/4 and I got 1/2
I NEED HELP AND NOBODY HELPING ME !!
There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat
Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
Help and explain !!!
Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
2/3 divided by 4/5? step by step requested
Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6
What is the end behavior? 10 points!!
Given:
The given function is:
[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]
The graph of the function is given.
To find:
The end behavior of the given function.
Solution:
We have,
[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]
From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.
[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]
[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]
Therefore, the end behaviors of the given function are:
[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]
[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Which graph represents the function?
g(x) = {x if x < 2
{-3 if x >= 2
Step-by-step explanation:We have to graph the function g(x) which is given as:
g(x)= x when x<2
and -3 when x ≥2.
Clearly after looking at the function we see that the function is not continuous since we find the continuity at x=2 as follows.
Left hand limitat 2:
g(2-h)=lim h→0 2-h
=2-0=2
Also right hand limit at x=2 is:
g(2+h)=lim h→0 (2+h)
= 2+0=2
Also g(2)= -3.
As:
Left hand limit= Right hand limit but is not equal to function's value at that point.
Hence, the function is discontinuous at x=2.
so for x<2 we will get a graph of a line y=x.
and for x≥2 we will get a straight line y=-3 parallel to the domain.
which line has an undefined slope??
Answer:
A
Step-by-step explanation:
A vertical line has an undefined slope
Line A is a vertical line
Get to has $12 to out gas in his car if gas costs 3.75 per gallon which ordered pair relating number of gallons of gas x to the total cost of gas
Step-by-step explanation:
12/3.75 = 3.2 a gallon
if f(x) = 3x - 12 what is f(2)
Answer:
-6
(3*2)-12
6-12
-6
Step-by-step explanation:
Answer:
[tex]f(2) = -6[/tex]
Step-by-step explanation:
[tex]f(x) = 3x - 12[/tex]
[tex]f(2) = 3(2) - 12[/tex]
[tex]f(2) = 6 - 12[/tex]
[tex]f(2) = -6[/tex]
Hope it is helpful....Help me please PLEAASEEEE
help me solve the simultaneous linear inequalities
Answer:
The inequality form is -4<x<-2
The Interval Notation is (-4, -2]
I hope this helps!
Which value is 10,000 times larger than 1,300?
Explain.
Which value is 10,000 times larger than 1,300?
answer= 1300×10000
= 13,000,000
What is the slope of the line? What is the y-intercept of the line? y = -8x
Answer:
slope= -8/1
y-intercept= 0,0
Answer:
m = -8
c = 0
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -8x[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = -8 [/tex]
[tex]\implies y - intercept= 0 [/tex]
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select all that apply
Answer:
option 1
Step-by-step explanation:
I am not sure, what your are asking about.
in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.
so ... ?
when you said DF=20, did you actually mean DE ?
under that assumption
DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).
EF = 17
based on Pythagoras
c² = a² + b²
we have here now
20² = 17² + DF²
400 = 289 + DF²
DF² = 400 - 289 = 111
DF = sqrt(111)
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
wow man that is crazy
Step-by-step explanation:
Find the sum of the Arithmetic series
2+5+8+............20th term
Does anyone know what graph is correct?
First graph is the correct one.
when x= 1
y=f(x) = -√1 = -1
when x= 2
y= -√2
What is the value of the expression shown below?
(3/6) 2 + 7 x 4 -5
A 6 1/4
B 6 1/2
C 23 1/4
D 23 1/2
Answer:
24
Step-by-step explanation:
(3/6) 2 + 7 × 4 - 5
0.5 × 2 + 7 × 4 - 5
1 + 7 × 4 - 5
1 + 28 - 5
29 - 5
24
A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory. Assuming that defects in keystroke assemblies are independent of defects in logic circuits, find the probability that a finished calculator will be satisfactory. Group of answer choices
Answer:
0.7304
Step-by-step explanation:
According to the Question,
Given That, A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory.We have,
P(keystroke satisfactory) =0.83 , P(logic satisfactory)= 0.88
Assuming that defects in keystroke assemblies are independent of defects in logic circuitsSince the events are independent. So, the probability that a finished calculator will be satisfactory
⇒ 0.83×0.88
⇒0.7304
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
PLZ ANSWER ILL GIVE BRAINLIEST!
Answer:
It is A, E, and F
Step-by-step explanation: