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anzhelika [568]
3 years ago
12

Omg please help!!!!! And fast if you can​

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

The square root of 10 is 3.16227766017

Step-by-step explanation:

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A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs.
mart [117]

Answer:

\displaystyle  \frac{1}{28}

Step-by-step explanation:

we are given 8 songs

2 are <em>rock.</em><em> </em>4 are <em>reggae</em>, 2 are <em>country</em>

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

\displaystyle \rm P(A  \:  \text{and} \: B) = P(A) \times P(B \mid A)

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

\displaystyle\rm P(A) =  \frac{2}{8}  =  \frac{1}{4}

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

\displaystyle  \rm P(B\mid A) =  \frac{1}{7}

Altogether

\displaystyle \rm P(A  \:  \text{and} \: B) = \frac{1}{4}  \times  \frac{1}{7}

simplify multiplication:

\displaystyle \rm P(A  \:  \text{and} \: B) = \frac{1}{28}

And we are done!

7 0
2 years ago
A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults
nadya68 [22]

Answer:

0.000298 = 0.0298% probability that the system will collapse

Step-by-step explanation:

Number of possible ways the system can fail:

2 lines from a set of 3 fail, or all three fail.

Two from a set of 3:

Can be A and B, A and C, or B and C. Three possible outcomes then.

The probability of each is:

0.01*0.01*0.99

Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.

All three:

Each with 0.01 probability.

a) What is the probability that the system will collapse

Both cases, so

p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298

0.000298 = 0.0298% probability that the system will collapse

5 0
3 years ago
The length of a rectangular field is 24 meters this is 3 meters less than twice the width find the width
stepladder [879]

Answer:

The width is 5 meters

Step-by-step explanation:

The rectangular field is 24 meaning adding just one width and length of the rectangle would be 12.

x = width

2x - 3 + x = 12

3x - 3 = 12

3x - 3 + 3 = 12 + 3

3x = 15

x = 5

5 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
iren2701 [21]

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

4 0
2 years ago
Write the equation in slope-intercept form. 5x+3y=12
Umnica [9.8K]
5x+3y=12
Subtract 5x from both sides
3y=-5x+12
Divide by 3
Y=-5/3x +4
7 0
2 years ago
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