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sp2606 [1]
3 years ago
6

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums. What is the probability that t

he applicant who gets the job plays drums or guitar?
Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

The probability is 8 over 15.

Step-by-step explanation:

14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.

It means n(G and D)=14, n(D)=28, n(G)=18.

Using the formula of Union:-

n(G or D) = n(G) + n(D) - n(G and D).

n(G or D) = 18 + 28 - 14.

n(G or D) = 32.

It says 60 musicians applied for a job at a music school. So n(U)=60.

The probability that the applicant who gets the job plays drums or guitar is = n(G or D)/n(U) = 32/60 = 8/15.

Hence, the probability is 8 over 15.

Read more on Brainly.com - brainly.com/question/12053357#readmore

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Gre4nikov [31]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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Anne is running on a trail at an average speed of 6 miles per hour beginning at mile marker 4. John is running on the trail at t
Sphinxa [80]

Answer:

John is running faster.

Step-by-step explanation:

Given that:

Average Speed of Anne = 6 miles per hour

Speed of John can be represented in the table below:

\begin{center}\begin{tabular}{ c c}Time (hours) x & Mile Marker y \\ 0 & 1  \\  0.5 & 4.5  \\   1 & 8  \\ 1.5 & 11.5  \\\end{tabular}\end{center}

To find:

Who is running faster of the both i.e. Anne and John?

Solution:

Here, to find the faster runner we can compare the average speed of both the runners.

We are given that, average speed of Anne = 6 miles per hour

We will have to calculate the average speed of John to find the faster runner.

<em>Average speed</em> can be calculated by dividing the total distance traveled with the total time taken.

Total distance traveled by John = 11.5 - 1 = 10.5 miles

Total time taken by John = 1.5 hours

Average speed of John = \frac{10.5}{1.5} = 7\ miles/hr

Clearly Average speed of John is greater than that of Anne's.

Therefore, <em>John runs faster</em>.

6 0
2 years ago
I don't know just someone answer this for me thanks
lesya692 [45]

Answer:

the answer would be 43 degrees.

Step-by-step explanation:

8 0
2 years ago
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Rearrange all and make the letter in red the subject<br><br> help :(
frez [133]

Answer:

9. a. m = tw all over n

9 b.  w = mn all over t

10. a. w = 1 over (t-mn)

10. b. m= (t-1/w) all over n

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4 0
2 years ago
A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet
Mumz [18]

Answer:

No she isn't. The value of a is a=-\frac{1}{45}

Step-by-step explanation:

We know that all quadratic equation can be written in the following way :

y=ax^{2}+bx+c (I)

Where a,b and c are real numbers.

I will attach a drawing with the quadratic graph to understand the situation.

We know by looking at the drawing and analyzing it that the parabola passes through the points : (0,0) ; (60,80) and (120,0)

(0,0) because we put our coordinates origin there.

(120,0) because that's where the golf hole is.

And (60,80) because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).

Finally, we work with the three points and the equation (I) in order to find the values of a,b and c ⇒

The parabola passes through (0,0) ⇒

y=ax^{2}+bx+c ⇒

0=a(0)^{2}+b(0)+c ⇒ c=0

The parabola passes through (60,80) ⇒

80=a(60)^{2}+b(60) ⇒

80=3600a+60b (II)

The parabola passes through (120,0) ⇒

0=a(120)^{2}+b(120) ⇒

0=14400a+120b

120b=-14400a

b=-120a (III)

Now if we use (III) in (II) ⇒

80=3600a+60(-120a)

80=3600a-7200a

3600a=-80

a=-\frac{1}{45}    ⇒ b=\frac{8}{3}

Finally the equation of the parabola is

y=-\frac{x^{2}}{45}+\frac{8}{3}x

Where the value of a is a=-\frac{1}{45}

8 0
2 years ago
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