Answer:
a. P=0.04
b. P=0.54
c. P=0.96
Step-by-step explanation:
If half of the college graduates are married, then we have:
- 21% are college graduates and married.
- 21% are college graduates and not married.
If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.
If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.
a) P=0.04 (explanation above)
b) P=0.54
c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.
P=1-0.04=0.96
2.8
-14x+28=-4x
10x=28
X=2.8
Mark brainliest please
Answer:
Step-by-step explanation:
Rewrite this function as g(x) = 3(x + 1)(x - 2)
Set each factor equal to zero in turn, solving for x each time:
x + 1 => x = -1 (the lesser zero)
x - 2 => x = 2 (the greater zero)
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
147 = 3 * 7 * 7
245 = 5 * 7 * 7
so the gcf is 7*7 = 49
abd gcf of y^3 and y^2 is y^2
answer:- 49y^2
