Evaluate the expression 7x2y, when x = 4 and y = 2. and just gave me the plain answer
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The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ =
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ =
∴ PQ = 19.66
The length of PQ is 19.66 units
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Answer:
a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4
b.p=0.0026,total defects=2.6
c.Less of the items produced will be classified as defects.
Step-by-step explanation:
a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.
Total defects=Production*Probability
=0.3174*1000
b.
therefore:-
Defects=Probability*Production
=0.0026*1000
=2.6
c.Reducing process variation results in a significant reduction in the number of unit defects.
Binomial when added to polynomial
gives polynomial that does not contain the variable y .
A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
<h3>What is polynomial?</h3>A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial
when added with
= (as
got cancelled )
that does not contain the variable y
Hence, Binomial when added to polynomial
gives that does not contain the variable y .
To know more about Binomial and polynomial here :
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