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Phoenix [80]
3 years ago
5

A box in a supply room contains 21 compact fluorescent lightbulbs, of which 7 are rated 13-watt, 8 are rated 18-watt, and 6 are

rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.) (a) What is the probability that exactly two of the selected bulbs are rated 23-watt
Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

Answer:

The probability that exactly two of the selected bulbs are rated 23-watt is:

= 19%

Step-by-step explanation:

Number of fluorescent light bulbs in the box = 21

7/21 = 13-watt rated light bulbs

8/21 = 18-watt rated light bulbs

6/21 = 23-watt rated light bulbs

The probability of selected a 23-watt rated light bulb = 6/21 = 28.57%

Size of random selection of bulbs = 3

The probability that 2 out of these 3 bulbs are 23-watt rated light bulbs is:

= 6/21 * 2/3 = 19%

b) The probability of selecting 2 of the 3 bulbs from exactly the 23-watt rated bulbs is the probability of the 23-watt rated bulbs being selected given the chance of selecting 2/3.

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Karl’s math class is playing a number game. Each student is given a number card containing the numbers 1 to 6. The rules of the
Lena [83]

By finding the probability, we can expect that 2 out of the 30 students will win the prize.

<h3>How many of the 30 students will win the prize?</h3>

First, we should get the probability of winning this game.

Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.

Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:

p = 1/6

The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:

q = 1/5

The joint probability is then:

P = 2*(1/6)*(1/5) = 1/15.

Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.

Then the expected number of students that will win is equal to the probability times the total number of students:

(1/15)*30 = 2

So out of the 30 students, we can expect that 2 will win.

If you want to learn more about probability:

brainly.com/question/25870256

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8 0
1 year ago
Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​
qwelly [4]

Answer:

The equation is y=x-9

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  y=mx+b

Where  m  is the slope and  b  is the y-intercept value.  

y=1x-2

Therefore the slope is  

m=1

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

(y-y1)=m(x-x1)

Where  m  is the slope and  (x1,y1) is a point the line passes through.  

Substituting the information from the problem gives:

(y- (-7)=1(x-2)

(y+7)=1(x-2)

Or, we can solve for  y  to put the equation in slope-intercept form:

y+7=x-2

y+7-7=x-2-7

y+0=x-9

y=x-9

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2 years ago
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madam [21]
There's my answer
25/100
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You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on
german

Answer: b

Step-by-step explanation:

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Answer:

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