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IrinaVladis [17]
3 years ago
8

Assume red and green are equally likely occurrences. Using Pascal’s triangle, what is the probability that you will get one gree

n light in a row of five lights? a. 3/16 b. 1/32 c. 5/16 d. 5/32
Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

5/32.

Step-by-step explanation:

                     1

                  1      1

              1       2      1

           1       3      3       1

      1       4       6      4       1

  1      5      10      10     5       1

As there are 5 lights we need the last row in the above Pascals triangle.

And  there is 1 red and 4 green  ( = 5) and it can happen in 5 ways, so that gives us the second term in the last row . The total  in that last row = 1+5+10+10+5+1 = 32.

so the probability is 5/32.

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taurus [48]

The Slope of f(x) = –7x + 9  is (-7)

The slope of  h(x) = –5(–7x + 9) is (35)

The y-int of h(x) is (-45).

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3 years ago
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Triangle KML and triangle PRQ are shown in the figure belowK404008 cms4 cms10 cmsOL3 cms6 cmsRM17) Are these triangles similar?1
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Two triangles are similar if the only difference between them is the size, this means that their internal angles must be the same. If we look at the picture the first triangle has one angle equal to 40 degrees, one equal to 80 degrees and the third one is unkown (x). The second triangle has one angle equal to 40 degrees, one equal to 60 degrees and the third one is unkown (y). The sum of the internal angles of a triangle must be equal to 180 degrees, with this information we can find the values of the missing angles. We have:

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8 0
1 year ago
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me
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Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

P=6(6)=36\ units

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4/7
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A 31 inches is the answer because it can't be higher than 39

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