Answer:
We have
k^2 - 25f^2 + 5kf - 25f^2 =
k^2 - (5f)^2 + 5f( k - 5f) =
( k - 5f )( k + 5f ) + 5f( k - 5f ) =
( k - 5f )( k + 5f + 5f ) =
( k - 5f )( k + 10f );
Step-by-step explanation:
Surface area = 17*(sqrt(1155) + 19)
h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)
Answer:
0.227
Step-by-step explanation:
Given that X is binomial with n=7 and p =0.5
To find the probability for P(X<3)
i.e. we have to find prob as =P(x=0,1,2)
=P(X=0)+P(X=1)+P(x=2)
P(X=r)=7Cr(0.5)^7
Using binomial table we find prob
P(X<3)=0.2265
Round off this to 3 decimals as
0.227
Hence answer is 0.227
In math the fraction 5/6 means 5 and 6 tenths.
Answer:
12 units²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 4 ( perpendicular distance between the bases ) and
b₁ = SR = 2, b₂ = TA = 4 , then
A = × 4 × (2 + 4) = 2 × 6 = 12 units²
