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wel
3 years ago
14

Complete the two column proof

Mathematics
1 answer:
seraphim [82]3 years ago
8 0
The answer is 12 I promise
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From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ
bulgar [2K]
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


8 0
3 years ago
3. Write an equation in point-slope form for the line through the given point with the given slope.
jok3333 [9.3K]

Answer:

B

Step-by-step explanation:

recall that point-slope form of a linear equation is expressed as follows

y - y1 = m (x - x1)

where m = slope and (x1, y1) is the coordinate of any point on the line

so, here we have m = (3/5), x1 = 4 and y1 = -6

substitute these into the formula

y - (-6) = (3/5) (x - 4)

y + 6 = (3/5) (x - 4)----> answer

5 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (3,5) and (-1,7)?
Maurinko [17]

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

3 0
3 years ago
Read 2 more answers
Segment LM is the mid segment of Trapezoid ABCD.AB=×+8,LM=4×+3,andDC=215.what is the value of x
tatyana61 [14]

Answer:

3.46

Step-by-step explanation:

add

8 0
3 years ago
Which of the following is the quotient of the rational expressions shown below?
Gre4nikov [31]

Answer:

The answer is D

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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