The value of m2 is 1/7(m1 + 54)
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Given:
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
= 20 / 2
= 10 ft.
Now,
The area of the spherical tank =
=
=
=
=
Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
= 3.1416 gallon of paint
=
3.14 gallon of paint --------------> rounded
So, we need 3.14 gallon of paint
9514 1404 393
Answer:
945x^3·y^16
Step-by-step explanation:
The 5th term will be ...
C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)
= 945x^3·y^16
_____
The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.
Answer:
{3x-7 [-10, 10, -5, 5]}
Step-by-step explanation:
