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alexgriva [62]
3 years ago
5

By accident, 8 burned out bulbs have additionally been mixed in with 30 good ones. Ken is replacing old bulbs in his house. If h

e selects two bulbs at random from the box of 38, what is the probability they both work?
P(Both Work) =
435 / 703


P(Both Work) =
28 / 703


P(Both Work) =
16 / 361


P(Both Work) =
169 / 256
Mathematics
2 answers:
ipn [44]3 years ago
4 0

<u>Answer:</u>

The correct answer option is P(Both Work) =  435 / 703

<u>Step-by-step explanation:</u>

We are given that in a box of total 38 bulbs, 8 are the defective ones while the rest are good.

If Ken selects two bulbs at random from the box, we are to find the probability that they both work.

1st bulb: P (bulb works) =  \frac{30}{38}

2nd bulb: P (bulb works) = \frac{29}{37}

P (Both Work) = \frac{30}{38} \times \frac{29}{37} = 435 / 703

nevsk [136]3 years ago
3 0

Answer:

The correct answer is first option.   P(Both Work) =  435/703

Step-by-step explanation:

It is given that,

There are 8 burned bulbs and 30 good bulbs.

Therefore total number of bulbs = 8 + 30 = 38

<u>To find the probability</u>

We have to take two working bulbs from total bulbs.

Total bulbs = 38

The probability of taking two working bulbs = P(Both Work)

P(Both Work) = 30C₂/38C₂

  = (30 * 29)/(38 * 37) = 435/703

Therefore the correct answer is first option

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The trip from Carville to Nikpath requires $4\frac 12$ hours when traveling at an average speed of 70 miles per hour. How many h
KonstantinChe [14]

From the given speed and time, the distance of the trip can

be determined.

Correct response;

  • Number of hours the trip will take when traveling 60 mph is \underline{5\frac{1}{4} \ hours}

<h3>How is the time taken at a given speed calculated?</h3>

Given;

Time required for the trip from Carville to Nikpath = 4\frac{1}{2} hours

Average speed for the trip = 70 mph

Required;

The duration of the trip when traveling 60 mph

Solution;

Distance = Velocity × Time

Distance of trip = \mathbf{4\frac{1}{2}} hour × 70 miles/hour = 315 miles

Duration of trip when traveling 60 mph is therefore;

Time = \dfrac{315 \, miles}{60 \ miles/hour} = 5.25 \ hours = \mathbf{ 5\frac{1}{4} \ hours}

Duration of trip when traveling 60 mph = \underline{5\frac{1}{2} \ hours}

Learn more about speed and time calculations here;

brainly.com/question/10113134

5 0
3 years ago
This table represents the altitude change in meters, m, as a hiker hikes down a mountain in h hours. When graphed, all of the po
Reika [66]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
A person drove 36 miles per hour on a trip. If he had driven 48 miles per hour he would have arrived 4 hours earlier. What was t
nlexa [21]

Answer:

d = 576

Step-by-step explanation

Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.

Let the time traveled by the fast car = t

Let the time traveled by the slower car = t+4

Let the rate of travel of the slow car = 36 mph

Let the rate of travel of the fast car = 48 mph

===========

d = 36*(t + 4)

d = 48 * t

Since the distance is the same, they can be equated.

48t = 36(t + 4)           Remove the brackets.

48t = 36t + 144          Subtract 36t from both sides.

48t - 36t = 144           Combine

12t = 144                     Divide by 12

t = 144/12

t = 12

Therefore the faster car takes 12 hours to get where it is going.

d = 48 * t

d = 48 * 12

d = 576

6 0
4 years ago
Question 2 pls answer quickk
Otrada [13]

Answer:

Hey there!

First we find the slope: -3-0/10-4, or -3/6. That makes the slope -1/2.

Using point slope form we have-

y-0=-1/2(x-4)

y=-1/2x+2

Let me know if this helps, or if you need any more help :)

7 0
3 years ago
Whats the answer giving brainliest :)
8090 [49]
The answer to this is 10 markers

80% = .8

8/.8 = 10

8/10 = .8
4 0
3 years ago
Read 2 more answers
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