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Vitek1552 [10]
3 years ago
10

What is the average of the following numbers .406 .407 .408 .405 .411 .406

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

The average is 407.1667

Step-by-step explanation:

406+407+408+405+411+406=2,443

2,443/6=407.1667

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A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex
Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

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P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

3 0
3 years ago
James has 375 coins. One-fifth of the coins are quarters. How many of his coins are not quarters?
Korolek [52]
300 of his coins are not quarters. 
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3 years ago
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The dictionary is 3 inches thick. What is the volume of the dictionary
Yuki888 [10]

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

      V = Length * Length * Length = L^{3}

      V = 3 * 3 * 3 = 27 inch^{3}

while if its rectangular ( all side are not equal ) shaped

      V = Length * Width * Height (thickness)

      V = L * W * 3 = 3LW inch^{3}

5 0
2 years ago
The circumference of a circular pond is 654 feet.Whats the diameter at a rate of 6 feet per second?
Alex73 [517]
<span>To find the answer we need to find the raduis

Circumference = 2πr
r=</span>\frac{Circumference}{2 \pi }
r=\frac{654}{2 \pi }
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The diameter is 2r, hence the diameter is 208.16

If the rate to cross is 6ft. per second, time can be found by dividing the raduis by 6

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3 years ago
Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect squar
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Rules:

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Into vertex form: a(x - h)² + k

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Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

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1 year ago
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