Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
Answer:
P(K > 2.2) = 0.1375
Step-by-step explanation:
We have that:
P(-2.2 ≤ K ≤ 2.2) = 0.725
P(K < -2.2) = P(K > 2.2)
It means that the distribution is symmetric.
The sum of all the probabilities is decimal 1.
We have the following probabilities:
P(K < 2.2)
P(-2.2 ≤ K ≤ 2.2)
P(K > 2.2)
So
P(K < 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
Since P(K < 2.2) = P(K > 2.2)
P(K > 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
2P(K > 2.2) + 0.725 = 1.
2P(K > 2.2) = 1 - 0.725
2P(K > 2.2) = 0.275
P(K > 2.2) = 0.275/2
P(K > 2.2) = 0.1375
We know that
a=9√2
b=9√2
a=b---------- <span>for having both angles of 45</span>
c²=a²+b²-------> (9√2)²+(9√2)²------>(324)-----------> c=√324=18
the answer is the option A 18 inches