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2 years ago

Find the central angle

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

arc LM = 39°

arc MLN = 269°

Step-by-step explanation:

arc LM = 360° - 230° - 91° = 39°

arc MLN= 39° + 230° = 269°

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A sample of 92 observations is taken from a process (an infinite population). the sampling distribution of x̄ is approximately n

Sindrei [870]

It is normal based on the Central Limit Theorem. According to the theorem, an appropriately big sample (infinite) size from a population with a limited level of variance, the average of all samples from the same populace will be roughly equivalent to the mean of the population.

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3 years ago

Suppose there are 4 defective batteries in a drawer with 10 batteries in it. A sample of 3 is taken at random without replacemen

SSSSS [86.1K]

Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ = $\frac{4!}{1! (4 - 1 )!}$ × $\frac{6!}{2! (6 - 2 )!}$

= $\frac{4!}{(3)!}$ × $\frac{6!}{2! (4)!}$

= $\frac{4.3!}{(3)!}$ × $\frac{6.5.4!}{2! (4)!}$

= $4$ × $\frac{6.5}{2.1! }$

= $4$ × $15$ = 60

Total Number of possibility = ¹⁰C₃ = $\frac{10!}{3! (10-3)!}$

= $\frac{10!}{3! (7)!}$

= $\frac{10.9.8.7!}{3! (7)!}$

= $\frac{10.9.8}{3.2.1!}$

= 120

So, probability = $\frac{60}{120} = \frac{1}{2} = 0.5$

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility = ⁴C₀ × ⁶C₃

= $\frac{4!}{0! (4 - 0)!}$ × $\frac{6!}{3! (6 - 3)!}$

= $\frac{4!}{(4)!}$ × $\frac{6!}{3! (3)!}$

= 1 × $\frac{6.5.4.3!}{3.2.1! (3)!}$

= 1× $\frac{6.5.4}{3.2.1! }$

= 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = $\frac{80}{120} = \frac{8}{12} = 0.66$

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility = ⁴C₂ × ⁶C₁

= $\frac{4!}{2! (4 - 2)!}$ × $\frac{6!}{1! (6 - 1)!}$

= $\frac{4!}{2! (2)!}$ × $\frac{6!}{1! (5)!}$

= $\frac{4.3.2!}{2! (2)!}$ × $\frac{6.5!}{1! (5)!}$

= $\frac{4.3}{2.1!}$ × $\frac{6}{1}$

= 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility = ⁴C₃ × ⁶C₀

= $\frac{4!}{3! (4 - 3)!}$ × $\frac{6!}{0! (6 - 0)!}$

= $\frac{4!}{3! (1)!}$ × $\frac{6!}{(6)!}$

= $\frac{4.3!}{3!}$ × 1

= 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = $\frac{100}{120} = \frac{10}{12} = 0.83$

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2 years ago

In September, a website had 12,629 visitors. In October, the website had 24,290 more visitors than it did in September. The webs

Dvinal [7]

Answer:

the answer is 71,209 visitor

Step-by-step explanation:

12,629 + 24,290 + 24,290 = 71,209

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3 years ago

Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the

strojnjashka [21]

The answer is C) y=14(0.9)ˣ and it's an exponential function

PROOF

Give to x the respective values of x & calculate y, using y = 14(0.9)ˣ

x | y
---------|---------
0 | 14(0.9)⁰ = 14
1 | 14(0.9)¹ = 12.6
2 | 14(0.9)² = 11.34
3 | 14(0.9)³ = 10.206
4 | 14(09)⁴ = 9.1845

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3 years ago

Rebecca records the

LuckyWell [14K]

Answer:

yes

Step-by-step explanation:

since there are 20 children there has to be more than one that are the same age, because if there are kids up from 0-12 and there are 20 so ther must ne more than one somewhere

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3 years ago

Find the central angle​

Find the central angle