Answer:
Yes the table shows a probability distribution
The mean is [tex]E(X) = 1.636 [/tex]
The standard deviation is [tex]\sigma = 0.845 [/tex]
Step-by-step explanation:
From the question we are told that
The data given is
x 0 1 2 3
P(x) 0.087 0.344 0.415 0.154
Generally we can evaluate [tex]P(x) * x[/tex] as
[tex]P(x) * x[/tex] 0 (1 * 0.344 ) (2 * 0.415) (3 * 0.154 )
=> [tex]P(x) * x[/tex] 0 0.344 0.830 0.462
Generally we can evaluate [tex]P(x) * x^2 [/tex] as
[tex]P(x) * x^2 [/tex] 0 [tex ](1^2 * 0.344 )[/tex] [tex ](2^2 * 0.415)[/tex] [tex ](3^2 * 0.154 )[/tex]
=> [tex]P(x) * x^2 [/tex] 0 [tex] 0.344 [/tex] [tex ]1.66 [/tex] [tex]1.386[/tex]
Generally the mean is mathematically represented as
[tex]E(X) = \sum [x* P(x)][/tex]
[tex]E(X) = 0 + 0.344+ 0.830+0.462 [/tex]
[tex]E(X) = 1.636 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{V(X)}[/tex]
Here [tex]V(X)[/tex] is the variance which is mathematically represented as
[tex]V(X) = [E(X^2) ]- [E(X)]^2[/tex]
Here
[tex]E(X^2) = \sum [x^2 * P(x)][/tex]
[tex]E(X) =0 +0.344+1.66+1.386 [/tex]
[tex]E(X) = 3.3900 [/tex]
So
[tex]V(X) = 3.3900 - [1.636]^2[/tex]
[tex]V(X) = 3.3900 - 2.6764[/tex]
[tex]V(X) = 0.7136[/tex]
So
[tex]\sigma = \sqrt{0.7136}[/tex]
[tex]\sigma = 0.845 [/tex]
Triangle PQR has side lengths 6 cm, 7 cm, and 11 cm. A
triangle with what side lengths would be similar to
triangle PQR?
Select one:
1) 24 cm, 28 cm, 44 cm
2) 3 cm, 5 cm, 9 cm
3) 7 cm, 8 cm, 12cm
4) 24 cm, 21 cm, 33 cm
Answer: the correct answer is 3
The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Given that, a triangle PQR with side lengths 6 cm, 7 cm, and 11 cm.
Considering option 1) 24 cm, 28 cm, 44 cm
To see the similarity, we will check if the ratio of the corresponding sides are equal or not,
6/24 = 1/4
7/28 = 1/4
11/44 = 1/4
That means, 6/24 = 7/28 = 11/44 = 1/4
Since, the corresponding sides of these triangles are in equal ratios,
Hence, The side lengths similar to triangle PQR are 24 cm, 28 cm, 44 cm
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Write an equation and solve for x
Can someone help me with this please
Answer:
8.94427191
Step-by-step explanation:
8^2 + y^2 = 12^2
64 + y^2 = 144
y^2 = 80
y = 8.94427191
-12 = 6+ 2/3 y
Pleaseeeee help me ❤️
answer both correctly and I’ll give golden brain c:
Answer:
1.a=5,b=-2
Step-by-step explanation:
2x+a=5-bx
divide by 2
[tex]x+\frac{a}{2}=\frac{5}{2}+\frac{-b}{2}x\\for~ to~ have ~infinite ~solutions\\\frac{a}{2}=\frac{5}{2}\\a=5\\1=\frac{-b}{2}\\b=-2[/tex]
or
equate the coefficients of like terms
-b=2
b=-2 (coefficient of x)
a=5 (constant terms)
2.
72°
external angle= sum of two opposite internal angles.
∠2=42+30=72°
Somebody please help!
Answer:
:) :) :) :) :) :) :) Hiiiiiiiii
Step-by-step explanation:
It -13. When you multiply 5 and -3, it's -15 and hen add 2, ad it will be -13.
which value is a solution for 4m = -132
Answer:
The answer is m = - 33
Step-by-step explanation:
Define the opposite and the absolute value of 6.
The opposite of 6 is -6. The absolute value of 6 is 6.
The opposite of 6 is 6. The absolute value of 6 is 6.
The opposite of 6 is -6. The absolute value of 6 is -6.
The opposite of 6 is 6. The absolute value of 6 is -6.
answer:
the opposite of 6 is -6 and the absolute value of 6 is 6
explanation:
cause its 6 <3
The opposite of the number is -6 and its absolute value is 6.
We have a number - 6.
We have to find out the opposite and the absolute value of the number.
What is the Opposite and Absolute value of a number.For a number - 'n', its opposite is '- n' and the absolute value of a number - 'n' is -
[tex]$n=\left \{ {{n} \;\;\;for \;n > 0\atop {-n}\;\;\;for\;n < 0} \right.[/tex]
We have a number = 6.
The opposite of the number = - 6.
The absolute value of a number = 6.
Hence, the opposite of the number is -6 and its absolute value is 6.
According to the question -
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NEED HELP QUICK! IT'S FOR AN ASSIGNMENT DUE TODAY!
Answer:
A =72 in^2
When dilated
=1152 in ^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
We need to convert the units to match
2 ft= 24 inches
A = 1/2 ( 24*6)
A = 1/2 (144)
A =72 in^2
When dilated 6 inches *4 = 24 inches
24 inches *4 = 96 inches
A = 1/2 ( 96*24)
= 1/2(2304)
=1152 in ^2
What is the radical expression that is equivalent 27 1/5?
Enter your answer as a radical. For example, if your answer is 14−−√3, enter your answer like this: cuberoot(14)
Answer:
possible answers are shown in picture.
Step-by-step explanation:
An airplane flies 2,175 miles in 3 hours. What is the average speed of the airplane?
Answer:
725 miles per hour
Step-by-step explanation:
ok distance=rate times time
2175=3x
/3
=725
Find the equation of the line
Y= __x + __
Answer:
Step-by-step explanation:
(0, -9) and (3,3)
(3+9)/(3-0) = 12/3 = 4
y + 9 = 4(x - 0)
y + 9 = 4x - 0
y = 4x - 9
I need help finding x and y angle.
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
c && ty for the points :))))
Step-by-step explanation:
i will give u brainliest
Answer:
u = 3
Step-by-step explanation:
[tex] {u}^{3} = 27[/tex]
[tex] {3}^{3} = 27[/tex]
[tex]3 \times 3 \times 3 = 27[/tex]
Answer:
u = 3 , − 3 − 3 i √ 3 /2 , − 3 + 3 i √ 3 /2
Step-by-step explanation:
Factor using difference of cubes and set each factor equal to 0 .
I need to solve for c
3b +ac=c-4
Answer:
The answer is
c=-4+3b/a-1
4xy- 72 = 3w solve for y
Answer:
y= [tex]\frac{3w}{4x}[/tex]+ [tex]\frac{18}{x}[/tex]
Step-by-step explanation:
Hope this helps. Plz give brainliest.
nnnnnnnnnnnnnnvvvvvvvvvvvvmmmmmmmmmm k
which graph represents the function y=(x+3)^2+1?
Jessica walks 1/3 miles to the post office and then 2/5 mile to the library. How far did Jessica walk altogether?
Answer:
11/15
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through the points(−4,2) and (12,6)?
y = 4x + 18
y = 0.25x + 3
y = 4x − 42
y = 0.25x − 4.5
Answer:B
Step-by-step explanation:
How to solve this one step inequality
Answer: add 1 to both sides
-1+r+1≥4+1
simplify
x≥5
Step-by-step explanation:
First CORRECT ANSWER gets Brainliest
Answer:the actual answer is 43 not 34
Step-by-step explanation:
PLEASEE HURRY what is the value of x?
The table shows values for the two functions f and g for different values of x.
What is f(g(0))?
-1
0
1
This composition is undefined.
Answer:
C.) 1
Step-by-step explanation:
EDG 2020
The value of f(g(0)) is 1.
What is Composition of Functions?Composition of two functions f and g can be defined as the operation of composition such that we get a third function h where h(x) = (f o g) (x).
h(x) is called the composite function.
Given a table which shows values for the two functions f and g for different values of x.
We have to find the value of f(g(0)).
f(g(0)) = f[ g(0)]
From the table, g(0) = -1.
f(g(0)) = f(-1) = 1
Hence the value of f(g(0)) is 1.
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The table is given below.
Can some one help me PLEASEEE
What's an equation that will move the graph of the function f(x) = x^2 left 2 units and down 4.
Answer:
y = f(x+2)-4
Step-by-step explanation:
you change x in the bracket(+ is left, - is down)you change y outside the bracket(+ is up, - is down)HELP PLS IM GOING TO CRY
Answer: y = 4/4x + 3
What is the approximate value of x? Round to the nearest tenth.
Answer:
40 degreses
Step-by-step explanation:
there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.
Answer:
c
Step-by-step explanation:
cause it is
Plz help ASAP and good explanation thank you