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KengaRu [80]
4 years ago
12

Assume the population has a distribution with a mean of 110 and a standard deviation of 8. For a random sample of size 40, find

the 30th percentile of (round off to first decimal place).
Mathematics
1 answer:
VARVARA [1.3K]4 years ago
8 0

Answer:

109.33

Step-by-step explanation:

given that the population has a distribution with a mean of 110 and a standard deviation of 8

Sample size n = 40

Std error of sample mean = std dev/square root of sample size

= \frac{8}{\sqrt{40} } \\=1.265

From std normal distribution table we find that 30th percentile for Z is

-0.5244

Corresponding x score =110-0.5244*1.265=109.33663

30th percentile = 109.33663

=109.33

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The diameter of a circle is 17 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
aev [14]

Answer:

52.4 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Radius, r = diameter / 2

= 17 cm / 2

= 8.5 cm

π = 3.14

Circumference of a circle = 2πr

= 2 × 3.14 × 8.5

= 53.38 cm

Approximately 52.4 cm

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What is the area of this triangle?
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I think the area of this triangle is 27.1 square cm. Hope it help!
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A formal, logical explanation of some events that includes descriptions of how things relate to one another is called a(n):
frosja888 [35]

Answer:

Theory

Step-by-step explanation:

The theory refers to an explanation of something. It should be understandable also it contains some logic behind that

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Therefore the above represent the theory

Hence, the same is to be considered

3 0
3 years ago
Can somebody help me?​
alexira [117]

Answer:

it goes by twelves

Step-by-step explanation:

it goes 12 24 36 48 60 72 84 96 and it keeps going till the end.

7 0
4 years ago
This is important please help
Leya [2.2K]

Answer: C

<u>Step-by-step explanation:</u>

∑ 8(\frac{7}{3})⁽ⁿ⁻¹⁾ from n = 1 to n = 5

n = 1 → 8(\frac{7}{3})⁽¹⁻¹⁾

        = 8                                         = \frac{648}{81}

n = 2 → 8(\frac{7}{3})⁽²⁻¹⁾

         = \frac{56}{3}                                         = \frac{1512}{81}    

n = 3 → 8(\frac{7}{3})⁽³⁻¹⁾

          = \frac{392}{9}                                     = \frac{3528}{81}

n = 4 → 8(\frac{7}{3})⁽⁴⁻¹⁾

          = \frac{2744}{27}                                 = \frac{8232}{81}

n = 5 → 8(\frac{7}{3})⁽⁵⁻¹⁾

          = \frac{19208}{81}                                = \frac{19208}{81}

                                                                            Sum = \frac{33128}{81}

                                                                                    = 408.99

     

6 0
3 years ago
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