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Nadusha1986 [10]
3 years ago
5

Help needed

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Yeeeeeeeeeeeep aight.

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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
Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol
3241004551 [841]

Answer:

12

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

3 × 2 × 2 × 2 = 24

These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

5 0
3 years ago
Read 2 more answers
Simplify the expression -2+6.45z-6+(-3.25z)
erik [133]

Answer:

-8 + 3.2z

Step-by-step explanation:

  1. when there is a "+" in front of an expression in parentheses, the expression remains the same
  2. -2 + 6.45z - 6 - 3.25z
  3. calculate the difference

-8 + 6.45z - 3.25z

collect like terms

-8 + 3.2z

8 0
3 years ago
Plz help me because i can't find the number 45 in the graph chat
Karolina [17]
The answer is H because per every 3 parents there is 45 students, 45/3 is 15 and if you look at H y1= x15 and y2=x30 and so n so
3 0
3 years ago
Read 2 more answers
Order the following values least to greatest .
fgiga [73]

Answer:

2 3/10, 2.59, 24

Step-by-step explanation:

4 0
3 years ago
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