The Mean Value Theorem:
If a function is continuous on [ a, b ] and differentiable on ( a , b ) than there is a point c in ( a, b ) such that:
f ` ( c )= ( f ( b ) - f ( a ) ) / ( b - a )
f ` ( c ) = ( f ( 2 ) - f ( 0 ) ) / ( 2 - 0 )
f `( x ) = 10 x - 3
f ` ( c ) = 10 c - 3
2 f ` ( c ) = 16 - 2
f ` ( c ) = 7
7 = 10 c - 3
c = 1
Answer:
Yes, the function is continuous on [ 0, 2 ] and differentiable on ( 0, 2 ).
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22
<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Answer:
(4,0)
Step-by-step explanation:
(5,3) (1,3)
You need to subtract from the x axis on both coordinates and the y axis in both coordinates.
(5-1) (3-3)
(4,0)
I also checked on a graph as well, so it's correct.
Yes.
It’s a flat figure (2D), and all of its lines are connected with one another. There aren’t any open points/lines. It’s closed to create a shape. This means it’s a polygon.
Answer:
D)The experimental probability is greater than the theoretical probability
Step-by-step explanation:
Given:
75 times a die is rolled out of 39 times it got 6
To Find :
Which statement is true?
Solution:
The theoretical probability is given by the ,
Pt=No.of favorable outcomes/Total outcomes
Here favorable is getting 6 on the die
so how many times we can get 6 =1 time
Total outcomes =6
Pt=1/6
Pt=0.1667
Now for
The experimental Probability ,
Pe=Number times that event occur /Total no of trails
Here 39 times we get 6 and total no trails are 75
Pe=39/75
Pe=0.52
Hence we can say that Pe>Pt.
