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2 years ago

Imagine this like a fraction top:36+kt bottom: 36- 4kt. k=2. t=3

Mathematics

1 answer:

Gelneren [198K]2 years ago

6 0

Top:
36 + 2(3)
36 + 6
☆42
bottom:
36 - 4(2)(3)
36 - 24
☆12

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

2 years ago

(PLEASEE HELPP 24 points)Regina’s work to find the surface area of a square pyramid from its net is shown below. A square pyrami

Fantom [35]

Answer:

She should have used One-half (9.4) (11.9) to represent the area of a single triangle

Step-by-step explanation:

The pyramid is composed by 4 triangles and 1 square

area of the square: base² = 9.4²

area of each triangle = 1/2*base*height = 1/2*9.4*11.9

surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²

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3 years ago

Jim had a box full of baseball cards on Monday he gave 1/3 of them to John on Tuesday he gave 10 of them to Jeff finally on Wedn

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Answer:

120 baseball cards

Step-by-step explanation:

15 × 2 = 30

30 + 10 = 40

40 ÷ 1/3 = 40 × 3/1 = 120

Therefore there were 120 cards in the back

<em>I just did the inverse of each process starting from the last step and ending at the first</em>

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3 years ago

Identify the parent function

const2013 [10]

Answer: D

Step-by-step explanation:

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2 years ago

The density of an object can be found by taking its mass and dividing by its volume write an equation to represent the relations

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3 years ago