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Scrat [10]
3 years ago
8

Competition for a new generation of computers is so intense that MicroTech has funded three separate design teams to create the

new systems. Due to varying capabilities of the team members, it is estimated that team A has a 90% probability of coming up with an acceptable design before the competition, team B has an 80% chance, and team C has a 70% chance. What is the probability that MicroTech will beat the competition with its new computers?
Mathematics
1 answer:
Damm [24]3 years ago
8 0

Answer:

The probability that MicroTech will beat the competition with its new computers is 0.994

Step-by-step explanation:

Consider the provided information.

MicroTech has funded three separate design teams to create the new systems.

The Probability of team A will come up with acceptable design is 90% or 0.9

The Probability of team B will come up with acceptable design is 80% or 0.8

The Probability of team C will come up with acceptable design is 70% or 0.7  

The probability of non of them will be able to come up with acceptable design = (1-0.9)×(1-0.8)×(1-0.7) = 0.1×0.2×0.3 = 0.006

Thus, the probability that MicroTech will beat the competition with its new computers is:

1-0.006 = 0.994

Hence, the required probability is 0.994

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Alex

Answer:

The height of the function for any number of pounds between 0 and 100 is 0.01.

Step-by-step explanation:

As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.

To calculate the height h of the probability density function, we can write:

\int\limits^{100}_0 {h} \, dx=1

If we solved this integration and rearrange

\int\limits^{100}_0 {h} \, dx=1\\h*(100-0)=1\\100*h=1\\h=0.01

The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.

4 0
3 years ago
Jim and Em baked 33 macaroons.
bearhunter [10]

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

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3 years ago
If 72 males and 108 females responded to your fashion survey, what percentage were females?
Sergio039 [100]
60% is the percentage of the females who responded to the survey.
7 0
3 years ago
What is the domain? I think it’s (-4,-3)
Olin [163]

Answer:

all real numbers

Step-by-step explanation:

As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.

Domain: all real numbers

4 0
3 years ago
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A bakery recorded the number of muffins and bagels it sold for a seven day period. For the data presented, what does the value o
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Answer:

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Step-by-step explanation:

Working out each of the statically summaries Given in the option :

Mean of muffin :

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Mean = Σx / n

n = sample size

(34 + 45 + 43 + 42 + 46 + 72 + 75) / 7

= 357 / 7

= 51

Hence, from the result obtained, we could see that the value of 51 summarizes the mean of bagel.

3 0
2 years ago
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