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3 years ago

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ZA and ZB are complementary angles. Ifm A = (2.c +18) and m

1 answer:

Greeley [361]3 years ago

3 0

Answer:

Step-by-step explanation:

The sum of complementary angles is 90°.

(2x+18) + (6x+8) = 90

8x+26 = 90

x = 8°

B = 6x+8° = 56°

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4 years ago

a five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two black cards

mestny [16]

Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

<em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>

<u>Using the binomial probability relation</u> :

P(x = x) = nCx * p^x * q^(n-x)
<em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
<em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
<em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
<em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>

Hence,

P(x = 2) = 5C2 × 0.5² × 0.5³

P(x = 2) = 10 × 0.25 × 0.125

P(x = 2) = 0.3125

Hence. Probability of having exactly 2 black cards is 0.3125

Learn more : brainly.com/question/12474772

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2 years ago

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qwelly [4]

Answer:

First option is the correct answer

Second option is the correct answer

Step-by-step explanation:

Five added to a number, then divides by two equals eight

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