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tigry1 [53]
2 years ago
8

In a class of 30 students, 7 play an instrument and 19 play a sport. There are 4 students who play an instrument and also play a

sport. What is the probability that a student chosen randomly from the class plays an instrument?
Mathematics
2 answers:
Law Incorporation [45]2 years ago
5 0

Answer:

1/20

Step-by-step explanation:

Doss [256]2 years ago
3 0

Answer:

7/30

Step-by-step explanation:

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6 0
3 years ago
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

y = a(x-h)^2 + k

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

y = a(x-h)^2 + k

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

y = a(x-h)^2 + k

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
The points plotted below are on the graph of a polynomial. Which of the
Nady [450]

Answer: -1.1 , 2.4 , 1.51

Step-by-step explanation:

8 0
3 years ago
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Ymorist [56]
63 initially
Tonya is running a marathon she ran 12 miles she had 51 miles left now many miles is the whole marathon
7 0
3 years ago
Read 2 more answers
2 plus 2 what is it​
frez [133]

Answer:

4

Explanation:

2+2=4

Hope this helps. :)

7 0
2 years ago
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