3 years ago

1. Simplify the numerical expression: 5+ (-4) + (-52) + 78 Your answer

Mathematics

1 answer:

Tanzania [10]3 years ago

8 0

Answer:

Step-by-step explanation:

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The ratio of two complementary angles is 5:4. Find the measure of both angles.

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Step-by-step explanation:

50 degrees and 40 degrees

complimentary = add up to 90 degrees

5:4:9

50:40:90

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Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)

Ivan

Answer:

a) There are 8 possible combinations and each probability is 1/8.

b) The probability that it is a boy given that there are two girls is 3/8

Step-by-step explanation:

a) The sample space is given by:

BBB (3 boys)

BBG (Boy, boy, girl)

BGB (Boy, girl, boy)

BGG (Boy, girl, girl)

GBB (girl, boy, boy)

GBG (girl, boy, girl)

GGB (girl, girl, boy)

GGG (3 girls)

The probability of each combination is the same:

P(BBB)=P(B∩B∩B)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{1}{8}$

2) There are three possible combinations in which there are 2 girls and 1 boy:

BGG, GBG, GGB

So the probability is given by:

P(BGG ∪ GBG ∪ GGB)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{3}{8}$

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3 years ago

Factor completely 9x 4 -225y 8

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9x^4 -225y^8
= 9(x^4 - 25y^8)
= 9(x^2 + 5y^4)(x^2 - 5y^4)

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