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shtirl [24]
3 years ago
14

A company manufactures ball bearings for precision machines. The average diameter of a certain type of ball bearing should be 6.

0 mm. To check that the average diameter is correct, the company formulates a statistical test. a. What is the sampling distribution of the mean score x of a sample of 50 ball bearings given the standard deviation is 0.7 mm. b. State the null and alternative hypothesis. c. Suppose that one sample data gives x
Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

(a) =210

(b) = 0.11

Step-by-step explanation:

Sampling distribution of the mean = 50 × 6 × 0.7= 210

Now to get the null divide 0.7 by 6

This gives 0.11

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Fluffy the cat is 3 years older than Scuffy the dog. Six less than five times Scruffy's age is one more than three times Fluffy'
lesya692 [45]

Answer: fluffy is 11 years old

Scuffy is 8 years old

Step-by-step explanation:

Let x represent the present age of Fluffy the cat.

Let y represent the present age of Scuffy the dog.

Fluffy the cat is 3 years older than Scuffy the dog. This means that

x = y + 3 - - - - - -- - - - - 1

Six less than five times Scruffy's age is one more than three times Fluffy's age. This means that

5y - 6 = 3x + 1

5y - 3x = 1 + 6

5y - 3x = 7 - - - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

5y - 3(y + 3) = 7

5y - 3y - 9 = 7

5y - 3y = 7 + 9

2y = 16

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x = y + 3

x = 8 + 3 = 11

6 0
3 years ago
Choose the correct answer to classify each equation or situation below as exponential growth or decay.
inn [45]

Answer:

Exponential Decay

Step-by-step explanation:

Because 7/8 is less than 1, it is exponential decay

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3 years ago
Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
oksano4ka [1.4K]

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41

3 0
3 years ago
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