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schepotkina [342]
2 years ago
15

Assume that y varies directly with

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:

x = 4/3

Step-by-step explanation:

Direct variation:

y = kx

We use the given x-y point to find k.

6 = k * 2/3

k = 6 * 3/2

k = 9

The equation is

y = 9x

For y = 12,

12 = 9x

x = 12/9

x = 4/3

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A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs
Inessa05 [86]

Answer:

0.0016283

Step-by-step explanation:

Given that:

Proportion of defective bulbs, p = 30% = 0.3

Sample size, n = 19 bulbs

Probability that the lot will pass inspection :

P(none of the 19 is defective) Or P(only one of the 19 is defective)

P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19

0.7^19 = 0.0011398

P(only one of the 19 is defective) :

P(1 defective) * P(18 not defective )

(0.3) * (1 - 0.3)^18

0.3 * 0.7^18

0.3 * 0.001628413597910449 = 0.0004885

Hence,

P(none of the 19 is defective) + P(only one of the 19 is defective)

0.0011398 + 0.0004885) = 0.0016283

8 0
3 years ago
Algebra problem, please show work!
Brrunno [24]

6x+1 / 2x +6 - 5/2

Factor 2 out of the denominator of the first fraction:

6x+1 / 2(x+3) - 5/2

Rewrite 5/2 to have a common denominator with the first fraction:

6x+1/2(x+3) - 5(x+3) / 2(x+3)

Simplify terms:

6x +1 - 5(x+3) / 2(x+3)

Use distributive property:

6x +1 - 5x -15 / 2(x+3)

Combine like terms for final answer:

(x-14) / 2(x+3)

4 0
2 years ago
6. (11.07 MC) It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minuten​
nevsk [136]
3 hours = 60 x 3 minutes = 180 mins.
Total windows = 30.
So, total time = 30 x 180
= 5400mins
= 90 hours
8 0
3 years ago
4.1 rounded to the nearest ines​
Ne4ueva [31]
4.1 rounded to the nearest ones is 4
5 0
2 years ago
Students are planning a 3-day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2
Iteru [2.4K]
9.11 kilometers
18.5 - 0.28 = 18.22
18.22 / 2 = 9.11
7 0
3 years ago
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