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3 years ago

(4x + 5)

Mathematics

1 answer:

zavuch27 [327]3 years ago

7 0

Answer:

<A = 133degrees

Step-by-step explanation:

Find the diagram attached

Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;

m<A + m<C = 180

4x+5 + x + 15 = 180

4x+x+5+15 = 180

5x+20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32degrees

Get the measure of angle A

<A = 4x+5

<A = 4(32)+5

<A = 128+5

<A = 133degrees

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kolbaska11 [484]

Answer:

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And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

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For this case we can use the z score in order to solve this problem, given by this formula:

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For this part we want to find a value a, such that we satisfy this condition:

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As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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z = 1.28 < a - 200/20

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a = 200 + 1.28 * 20 = 225.6

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Svetllana [295]

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3 years ago

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