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.
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
In your own words what is the absolute value of a number?
Answer:
see below
Step-by-step explanation:
The absolute value is the distance from zero.
It is the non-negative quantity.
abio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points as Carlos. Fabio scored 313131 points in the game.Write an equation to determine the number of points (c)(c)(, c, )Carlos scored in the last game.
Answer:
The equation 31=2c-7 to determine the number of points Carlos scored in the last game.
Step-by-step explanation:
We are given with,(I think every number is repeating for 3 times. So, I took each number as once)
Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.
Let Carlos scored in the last game as "C".
So, we can set up equation for Fabio had 7 less than 2 times Carlos as
Fabio= 2C-7
Like so for Fabio score 31 as
Fabio =31
So, substitute Fabio as 31 into the first equation, we get
31= 2c-7
So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.
Please help explanation if possible
Answer:
Jordans' age = 31 ; Anna's age = 19
Step-by-step explanation:
Given the 2 equations relating their ages
J + A = 50 → (1)
J = 12 + A → (2)
Substitute J = 12 + A into (1)
12 + A + A = 50
12 + 2A = 50 ( subtract 12 from both sides )
2A = 38 ( divide both sides by 2 )
A = 19
Substitute A = 19 into (2)
J = 12 + 19 = 31
Then Jordans' age = 31 ; Anna's age = 19
Answer:
Step-by-step explanation:
J = 12 + A equation 1
J + A = 50 equation 2
Solving equation 2
J + A = 50
A = 50 - J equation 3
Putting value of A in equation 1
J = 12 + A
J = 12 + 50 - J
Bringing like terms on one side
J + J = 12 + 50
2J = 62
J = 62/2 = 31
Putting value of J in equation 3
A = 50 - J
A = 50 - 31 = 19
Checking answer by putting values in equation 2
J + A = 50
31 + 19 = 50
50 = 50
So the age of Jordan is 31 and Anna is 19
Help me plss!!!!!
Consider the graph of the function below.
Which statement about the graph below is incorrect?
A. The degree of the polynomial is even.
B. There is a positive leading coefficient.
C. There is one relative minimum.
D. There is one relative maximum.
a
A
b
B
С
d
D
Answer: A) The degree of the polynomial is even
We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.
Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).
Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.
Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.
To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.
A wall of a building is 34 inches wide Sixteen inches is concrete, 12 inches is brick, and 6 inches is limestone What fraction of the wall is concrete?
Place parentheses in the following equation to make it true.
6+6/6x6-6= 0
Answer: (6+6/6)*(6-6)= 0
3. Which property of similarity can be used to prove triangles STR and VWU are similar?
Answer:
Not enough information
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
Answer:
not enough information
Step-by-step explanation:
PLS HELP ME
The width of a rectangle is 20m to 2 significant figures
The length of a rectangle is 40m to 1 significant figure
What is the shortest perimeter the rectangle could have?
Answer:
80m
Step-by-step explanation:
(20x2) =40m + 40m= 80m
which one is the right graph
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.
Answer:
f (x)=11
Step-by-step explanation:
f (x)= x + 8
f (3)= (3 +8)
=f(x) =11
**replace the x with a variable which is 3
Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.
It takes 0.57 seconds per copy and he made 6 copies.
6 + 0.57 = 6.57
He added 6 and 0.57 instead of multiplying.
The easiest way to figure this out would be to do the problem by ourselves:
0.57 · 6 = 3.42, so it will take about 3.5 seconds.
We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:
He added 6 and 0.57 instead of multiplying.
plot -½ on the number line
Answer:
this would be towards the front and the very end
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
Consider the formula for the slope between two coordinate points, m, shown below.
Answer:
D
Step-by-step explanation:
m= (y2-y1)/(x2-x1)
m(x2-x1)= y2-y1
y2= m(x2-x1) + y1
Question 6 of 10 The triangles shown below may not be congruent. 1) 25° 55° 100° 100° 66° 25° O A. True O B. False
Answer:
True, they may not be congruent
Step-by-step explanation:
A figure cannot be determined as congruent from three angles alone. In order for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.
The triangles shown below may not be congruent is True statement.
What is Congruency?Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.
In both Triangle we can see that
2 Angles measures 25.
2 Angles measures 100.
and, 2 angles measures 55.
As, we know there no Congruence rule for AAA.
Thus, both triangles are not Congruent.
Learn more about Congruency here:
https://brainly.com/question/7888063
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fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.
plz sent answer fast
Answer:
Step-by-step explanation:
Find the square of 4100 by long division method
As 4100 is not a perfect square, it will have balance.
Now Find 65 * 65 = 4225
4225 - 4100 = 125
125 should be added to 4100 to get a perfect square
4225 = 5 * 5 * 13 * 13
[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]
Nearest square of 4100.
4225=(65)^2[tex]\\ \sf\longmapsto 4225-4100[/tex]
[tex]\\ \sf\longmapsto 125[/tex]
125 should be added
find the measure of one exterior angle for the following regular polygon
Answer:
this is a 60 60 60 triangle, so one exterior angle is 120 degrees.
Step-by-step explanation:
hope it helps!
if U={1,2,3,4,5,6,7,8},A={1,2,3,4},B={3,4,5,6,7}.find(AUB)'
Answer:
12345678910
iya lina beb
I attached a picture of my question. Please help me ( urgent)
ω in terms of m and k is expressed as [tex]\omega = \sqrt{\frac{k}{m} }[/tex]
The given expression is as follows;
[tex]T_s = 2\pi \sqrt{\frac{m}{k} } , \ \ \\\\ T_s = \frac{2\pi}{\omega}[/tex]
To find:
ω in terms of m and k;From the given expression above make ω the subject of the formula;
[tex]T_s = \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} } \\\\ \frac{2\pi}{\omega} = 2\pi \sqrt{\frac{m}{k} }\\\\ \frac{2\pi}{\omega} = \sqrt{4\pi^2\frac{m}{k} }\\\\square \ both \ sides \ of \ the \ equation;\\\\(\frac{2\pi}{\omega})^2 = 4\pi^2\frac{m}{k} \\\\\frac{4\pi^2}{\omega^2}= \frac{4\pi^2m}{k} \\\\\omega^2 4\pi^2m = k4\pi^2 \\\\divide \ both \ side \ by \ 4\pi ^2 \\\\\omega^2 m = k\\\\divide \ both \ sides \ by \ m\\\\\omega^2 = \frac{k}{m} \\\\[/tex]
[tex]take \ the \ square \ root \ of \ both \ sides \ of \ the \ equation\\\\\omega = \sqrt{\frac{k}{m} }[/tex]
Therefore, ω in terms of m and k is expressed as [tex]\omega = \sqrt{\frac{k}{m} }[/tex]
To learn more about subject of formula visit: https://brainly.com/question/15469690
To solve this system of equations using substitution, what could be substituted in place of x in the second equation?
2y + x = 11
31 - y = -4
a. 2y – 11
b. 11 – 2y
c. 3x + 4
d. y - 4/3
Answer:
b 11-2y
Step-by-step explanation:
(I will give brainliest!)
Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
If you add up Jasford and Jasmines ages you get 35. If Jasford is three years older than Jasmine, how old is Jasmine?
a² = 3 and a² - 1 = 1 find the value of a
Answer:
No solutions to the problem
Step-by-step explanation:
Wolfram Alpha for more info
find the area of parallelogram and round to the nearest tenth.
Answer:
A=b×h
A=13.8×6
A=82.8 in²
A≈83in²
Step-by-step explanation:
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
Find the solution: | x + 1 | + 16 = 10
Answer:
[×1] +16=10
×=10-16
×=-6
Answer:
x=5 and x=-5
Step-by-step explanation:
First subtract 16 from both sides.
Then solve for x+1=6 and x+1=-6
you answer should be x=5 and x=-5
Please help ASAP!!!Explain how to solve the problem if u can
Answer:
60
Step-by-step explanation:
x²=36×(64+36)
x=√3600
x=60
Which graph represents the solution set of this inequality?
Answer:
C
Step-by-step explanation:
5a + 18 < -27
5a < -45
a < -9
Graph C matches the solution set of this inequality.
2(x + 4) - 8 = 36-10
Answer:
x=13
Step-by-step explanation:
