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Karo-lina-s [1.5K]
2 years ago
15

4.14 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. Th

e production is considered a random process where each transistor is independent of the others. (a) What is the probability that the 10th transistor produced is the first with a defect
Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

Step-by-step explanation:

Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.

The probability function is p(x=k) = (1-p)^(n-1) * p

p = (1-defective rate)^(n-1) * defective rate; n=10

p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666

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Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
2 years ago
Help me solve this . <br> -2x + 4 &lt; 24
Zina [86]

Answer:

x>10

Step-by-step explanation:

-2x<24-4

-2x<20

x>10

3 0
2 years ago
Read 2 more answers
The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave
nadya68 [22]
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.

6 0
1 year ago
The table below shows the weekly change in the price of one gram of gold for four weeks. ONE GRAM OF GOLD Week Weekly Change in
egoroff_w [7]
Part 1:

From the table, in week 1, the price increased by $1.25, in week 2, the price decreased by $3.125, in week 3, the price increased by $0.625 and in week 4, the price increased by $1.5

After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.
Therefore, the price changed over the 4 weeks period by $0.25.


Part 2:

After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.

Therefore, the price increased over the 4 weeks period.


Part 3:

Given that the price of 1 gram of gold was $39.28 at the end of week 4. since the price of 1 gram of gold increased by $0.25 over the 4 weeks period, the price of 1 gram of gold at the beginning of week 1 is given by:

39.28 - 0.25 = $39.03
8 0
2 years ago
in a survey of 80 people.it was found that 60 liked oranges only and 10 liked both oranges and apples.the number of people who l
Katen [24]

Answer:

answer:

it should be 14 people like apples.

step-by-step explanation:

divided 70 orange eaters by 5. 4 people only eat apples since ten eat both apples and oranges. the question also how many don't like either as well. since 74 people like these fruit there are 6 people left who don't like any of these fruits. i cant do the venn diagram though.

Step-by-step explanation:

answer:

it should be 14 people like apples.

step-by-step explanation:

divided 70 orange eaters by 5. 4 people only eat apples since ten eat both apples and oranges. the question also how many don't like either as well. since 74 people like these fruit there are 6 people left who don't like any of these fruits. i cant do the venn diagram though.

8 0
2 years ago
Read 2 more answers
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