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Papessa [141]
2 years ago
10

A company that produces fine crystal knows from experience that 15% of its goblets havecosmetic flaws, while the remaining 85% a

re flawless.(a) (8 points) If eight goblets are selected at random, what is the probability that exactly twohave flaws
Mathematics
1 answer:
Vinvika [58]2 years ago
6 0

Answer:

The probability that exactly two have flaws is P (x=2) = 0.2376

Step-by-step explanation:

Here

Success= p= 0.15

Failure = q= 0.85

total number= n= 8

Number chosen = x= 2

Applying the binomial distribution

P (x=x) = nCx p^x(q)^n-x

P (x=2) = 8C2 0.15 ²(0.85)^8

P (x=2) = 0.2376

The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15

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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

5 0
2 years ago
What are a domain and range?
Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

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2 years ago
The base area of a cylinder is 200.96m2
Vitek1552 [10]

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

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1 year ago
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