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aleksandr82 [10.1K]
3 years ago
7

Please answer both ASAP (middle school) (probability)

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

the first one is 18/32 and the second one is 125 games or 120

Step-by-step explanation:

for the first add all the numbers to get your denominator then add the probability of green aND YELLOW.

for the second you just divide 200 by eight to get 25 then times 25 by 5 to get your anwser

hope this helped :)

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nikitadnepr [17]
B. 1, 2, 5, 10 (To feel space)
7 0
3 years ago
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Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
What is 2 to the power of -2? My teacher said it does not equal -4… does it equal positive 4??
mihalych1998 [28]

Answer:

1/4

Step-by-step explanation:

2 to the power of -2 would be 1/4.

This is because 2 to the power of -1 would be 1/2. And the power of 2 would square the 2 as the denominator making it 1/4.

The reason -1 makes the 2 turn into a fraction is that to the power of 2 means 2x2, to the power of one means 2, The power of zero would therefore divide by 2 so 2/2 = 1 and so 2 to the power of -1 would be 1/2.

3 0
2 years ago
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Suppose a normal distribution has a mean of 48 and a standard deviation of 2. What is the probability that a data value is betwe
stepan [7]

Answer:

Choice D.  15.2%

Step-by-step explanation:

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mean u = 48

standard deviation s = 2

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We standardize.

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We want  P( -2.5 < Z < -1)

Look at Z-scores.

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about

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3 years ago
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malfutka [58]

Answer:

see explanation

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If lines are perpendicular then the product of their slopes = - 1 , then

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Thus there is a right angle between the 2 lines

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