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Mamont248 [21]
2 years ago
14

A box contains a total of 30 paper clips with colors in the ratio red:white:blue = 2:5:3. Suppose that one paper clip of each co

lor is removed from the box and not replaced. What is the probability that the next paper clip chosen will be blue?
A: 5/27
B: 2/7
C: 8/27
D: 3/10
Mathematics
1 answer:
faust18 [17]2 years ago
4 0

Answer:

C.8/27

Step-by-step explanation:

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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
Please help with scale factor!!!!!!!! I will mark brainliest if right! Two rectangular prisms have a side scale factor of 1/4. I
Agata [3.3K]

Answer:

  • 1/16
  • 720 cm²

Step-by-step explanation:

Area is the product of two dimensions.

<u>If the scale factor is 1/4, the ratio of the areas will be: </u>

  • (1/4)² = 1/16

The smaller prism has a surface are of 45 cm².

<u>The larger prism has a surface area:</u>

  • 45*16 = 720 cm²
5 0
2 years ago
4x2 + 8x - 7 - (3x2 - X+9)​
Andreas93 [3]

Answer:

<h2>{x}^{2}  + 9x - 16</h2>

Step-by-step explanation:

4 {x}^{2}  + 8x - 7 - (3 {x}^{2}  - x + 9)

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

4 {x}^{2}  + 8x - 7 - 3 {x}^{2}  + x - 9

Collect like terms

4 {x}^{2}  - 3 {x}^{2}  + 8x + x - 7 - 9

{x}^{2}  + 9x - 7 - 9

Calculate

{x}^{2}  + 9x - 16

Hope this helps...

Good luck on your assignment...

5 0
3 years ago
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Two airliners are 1600 miles apart and heading toward each other at different altitudes. The first plane is traveling north at 6
viktelen [127]
In approximately around 2 hours and 10 mins
4 0
3 years ago
I need you help I don’t have answer
Anvisha [2.4K]

x/3 = 9/5

x = (9*3)/5

x= 5.4

8 0
3 years ago
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