Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12
Step-by-step explanation:
(a)
the probability of parcels weighing 35oz or less is
0.841
the probability of parcels weighing 14oz or less is
0.023
the probability of parcels weighing between 14 and 35oz is the probabilty of 35oz minus the probability of 14oz
0.841 - 0.023 = 0.818
the percentage is the probability × 100 = 81.8%
(b)
the probability of parcels weighing more than 49oz is 1 minus the probability to weigh less than 49oz.
the probability to weigh less than 49oz is
0.99865
so, the probability to weigh more than 49oz is
1 - 0.99865 = 0.00135
the percentage is again probability×100 = 0.14%
1 I think. Tell me if that is correct
Answer:
Step-by-step explanation:
Let O=number of oranges and A=number of apples.
O+A=20
O=20-A
1.25A+0.95O=22.60, using O found above makes this become
1.25A+0.95(20-A)=22.60
1.25A+19-0.95A=22.60
0.3A+19=22.60
0.3A=3.6
A=12, since O=20-A
O=20-12
O=8
So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.
12 apples were bought.
Answer:
105
For the 4 triangular faces, find the area with 1/2 × base × height = 1/2 × 5 × 8 = 20
4 triangles -> 20 × 4 = 80
The area of the square base is 25
80 + 25 - 105 
