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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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A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
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damaskus [11]
Solving for X:
1) y=-8x+6.5   y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5        (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5         (Add 4x to both sides)
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5)x=-1.125

Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5

y=-4(-1.125)+11
y=4.5+11
y=15.5

x=-1.125
y=15.5
or
(-1.125,15.5)
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Step-by-step explanation:


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Step-by-step explanation:

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