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Afina-wow [57]
2 years ago
6

A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability

of landing on each color.

Mathematics
1 answer:
Anika [276]2 years ago
4 0

Answers:

  • Red = 1/3
  • Yellow = 7/15
  • Blue = 1/5

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

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

  • Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
  • Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
  • Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
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jonny [76]

Answer:

y = 5 ( x - 3 ) ^2 -2

OR

y+2= 5 ( x - 3 ) ^2

Step-by-step explanation:

Vertex form of a parabola is given as:

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

Where (h,k) is the vertex and (x,y) are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

h = 3,k = -2

First of all, putting the vertex in the vertex equation as given above:

y = a ( x - 3 ) ^2 + (-2)

Now, putting the values of x, y as 2, 3 and let us find the unknown variable a:

3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5

Therefore, the equation in vertex form can be written as:

y = 5 ( x - 3 ) ^2 -2

OR

y+2= 5 ( x - 3 ) ^2

4 0
3 years ago
What is the total area of this composite figure rounded to the nearest hundredth?
Alex777 [14]

Answer:

39.53 ft^2

Step-by-step explanation:

We can find the area of the rectangle

A = l*w

   = 12*3 = 36

And the area of the semicircle

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The diameter is 3, the radius is 3/2

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3.5325

Add the two areas together

36+3.532539.5325

Rounding to the nearest hundredth

39.53 ft^2

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3 years ago
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ikadub [295]
Use b for bicycles b and t for tricycles.

We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the 

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We can "separate" b by calling it "25 - t" as an alternative, 

2(25 - t) + 3t = 57, or

50 - 2t + 3t = 57,

or 50 + t = 57, so

t = 7 So there must be 18 bicycles and 7 tricycles.

CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,

and 18 bicycles x 2 wheels, which is 36

36 + 21 = 57
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3 years ago
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adelina 88 [10]

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