Answer
Explanation:
Given
See attachment for proper data presentation
--- Sample
A = Supplier 1
B = Conforms to specification
Solving (a): P(A)
Here, we only consider data in sample 1 row.
Here:
and 
P(A) is then calculated as:
Solving (b): P(B)
We only consider data in the Yes column.
Here:
and 
P(B) is then calculated as:
Solving (c): P(A n B)
Here, we only consider the similar cell in the yes column and sample 1 row.
i.e. [Supplier 1][Yes]
This is represented as: n(A n B)
The probability is then calculated as:
Solving (d): P(A u B)
This is calculated as:
This gives:
Take LCM
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
Answer:
224 with a remainder of 9
Work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
Answer:
Convert
3
1
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3
+
1
4
−
1
3
4
Add
3
and
1
4
To write
3
as a fraction with a common denominator, multiply by
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine
3
and
4
4
.
3
⋅
4
4
+
1
4
−
1
3
4
Combine the numerators over the common denominator.
3
⋅
4
+
1
4
−
1
3
4
Simplify the numerator.
Multiply
3
by
4
.
12
+
1
4
−
1
3
4
Add
12
and
1
.
13
4
−
1
3
4
Convert
1
3
4
to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
13
4
−
(
1
+
3
4
)
Add
1
and
3
4
.
13
4
−
7
4
Combine the numerators over the common denominator.
13
−
7
4
Subtract
7
from
13
.
6
4
Cancel the common factor of
6
and
4
.
Factor
2
out of
6
.
2
(
3
)
4
Cancel the common factors.
Factor
2
out of
4
.
2
⋅
3
2
⋅
2
Cancel the common factor.
2
⋅
3
2
⋅
2
Rewrite the expression.
3
2
The result can be shown in multiple forms.
Exact Form:
3
2
Decimal Form:
1.5
Mixed Number Form:
1
1
2
Step-by-step explanation:
