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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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Find the odds for and the odds against the event rolling a fair die and getting a 4, a 2, or a 1.
HACTEHA [7]

Answer: Both in favor and against: 3/6 OR 1/2 OR 50%.

Step-by-step explanation: Both in favor and against: 3/6 OR 1/2 OR 50%.

The probability of rolling one die and getting any digit is \frac{1}{6}. That is because the desired outcome is only 1 digit out of the 6 total digits on each of the six sides.

That means the probability of rolling either a 1, a 2, or a 4 <em>if you are looking for any of those numbers specifically, </em>is \frac{1}{6}. But! You are looking to roll a 1, a 2, or a 4, without any preference among those three. Therefore, you are going to add the desired outcomes.

\frac{1}{6} + \frac{1}{6}  + \frac{1}{6} = \frac{3}{6} = \frac{1}{2} = 0.5 = 50%

Above, are added the probability of rolling a 1 PLUS the probability of rolling a 2 PLUS the probability of rolling a 4, yielding a 50% probability.

Think about it. There are six total digits on a die. You are okay with rolling three of those. Three is half of six. Therefore, the probability of rolling the number you'd like is one-half, fifty-percent.

Likewise, since the probability of all complement events happening is 1 (or 100%), The odds against rolling either 1, 2, or 4 is also fifty-percent. 100% (which is rolling <em>any </em>number on a die) MINUS 50% (which is rolling a 1, a 2, or a 4 with no preference) EQUALS TO 50% (which is rolling a 3, a 5, or a 6).

8 0
3 years ago
Brian spins a fair spinner numbered 1 - 5 and flips a fair coin.
Greeley [361]

Answer:  0.1

Step-by-step explanation:

If we spin a fair spinner numbered 1 - 5 and flips a fair coin.

Then, the possible outcomes will be :-

(1,T),(2,T), (3,T), (4,T), (5,T)\\\\(1,H),(2,H), (3,H), (4,H), (5,H)

i.e. total 10 possible outcomes.

The favorable outcomes = a 2 and a head  i.e. only 1 .

Now, the probability of obtaining a 2 and a head will be :_

\dfrac{\text{Number of favorable outcome}}{\text{Total outcomes}}\\\\=\dfrac{1}{10}=0.1

Hence, the  probability of obtaining a 2 and a head = 0.1

7 0
2 years ago
Inez has 699 pennies and 198 nickels. Estimate how many more pennies than nickels she has.
HACTEHA [7]
There are five hundred and one more pennies than nickels
7 0
3 years ago
Read 2 more answers
.
jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

100\%=100/100=1

20\%=20/100=0.20

60\%=60/100=0.60

we know that

(1)(x)+(0.20)(3)=(0.60)(x+3)

solve for x

x+0.60=0.60x+1.80

x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

7 0
3 years ago
5(x-10)=30-15x<br> Ox=1<br> Ox=4<br> Ox=5<br> Ox=8
makvit [3.9K]

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

7 0
3 years ago
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