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-BARSIC- [3]
3 years ago
15

Instructions: Find the area of the sector. Round your answer to the nearest tenth.

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

75.7m^2

Step-by-step explanation:

\frac{30}{360}  \times \pi {r}^{2}  \\  \frac{30}{360}  \times  \frac{22}{7}  \times  {17}^{2}  \\  \frac{1}{12}  \times  \frac{22}{7}  \times 289 \\ 75.6904761905 = 75.7

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A sequence is generated by the formula ax = 3x + 4. What is the value of the seventh term?
lyudmila [28]

Answer:

25

Explanation:

We are given the sequence formula expression;

ax = 3x + 4

You are to get the 7th term. This is gotten by substituting x = 7 into the expression as shown;

a7 = 3(7) + 4

a7 = 21 + 4

a7 = 25

Hence the seventh term of the sequence is 25

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1 year ago
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3 years ago
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I need help please can someone help me find each area thank you
nikitadnepr [17]

Answer:

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3 years ago
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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
3 years ago
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