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nikklg [1K]
3 years ago
9

Although television HDTV converters are tested before they are placed in the installer's truck, the installer knows that 20 perc

ent of them still won't work properly. The driver must install eight converters today in an apartment building.
Required:
a. Ten converters are placed in the truck. What is the probability that the driver will have enough working converters?
b. How many boxes should the driver load to ensure a 95percent probability of having enough working converters?
Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

HDTV Converters

a. The probability that the driver will have enough working converters = 80% (100 - 20%).

b. The driver should load 10 boxes (or specifically 9.5 boxes) to ensure a 95% probability of having enough working converters.

Step-by-step explanation:

a) Data and Calculations:

Probability of HDTV converters known to not work property = 20%

This implies that 80% (100 - 20%) will work properly.

Number of converters to install today in an apartment building = 8

Number of converters placed in the truck = 10

b) The probability that the driver will have enough working converters = the probability of having properly working converters, which is 80%.  To ensure a 95 percent probability of having enough working converters, out of 10 converters, the number of boxes to load on the truck is 9.5 (10 * 95%) boxes.  Since there are no half boxes, it means that 10 boxes must be loaded, approximated to the nearest convenient number.

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One mixture contains 6 fluid Ounces of water and 10 fluid Ounces of vinegar. A second mixture
Nadya [2.5K]

Answer:

The mixtures are not proportional.

3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture.

its =3

Step-by-step explanation:

The one mixture contains 6 fluid ounces and 10 fluid ounces of water and vinegar respectively.

Therefore, the ratio of water to vinegar in the first mixture is 6 : 10 = 3 : 5

Now, a second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar.

Hence, the ratio of water to vinegar in the second mixture is 9 : 12 = 3 : 4

Therefore, the mixtures are not proportional.

Therefore, we have to add x fluid ounces of vinegar to the second mixture to make it in the ratio of 3 : 5.

So,

⇒ 12 + x = 15

⇒ x = 3 fluid ounces.

Therefore, 3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture. (Answer

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Step-by-step explanation:

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