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3 years ago

For each question (a–e) below, choose one of the answers (i–viii); explain your choice.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

5 0

Answer:

Step-by-step explanation:

given that a deck of cards is shuffled.

we know in a deck there are 52 cards, 13 cards of each variety spade, clubs hearts and dice. Red are 26 and black are 26. kings, will be 4.

(a) the top card is the king of spades and the bottom card is the queen of spades?

(iii) 1/52 × 1/52

Top has 1/52 and bottom has 1/52 and these are independent.

(b) the top card is the king of spades and the bottom card is the king of spades?

(viii) None of the above

Because it is impossible.

(iv) 1/52 + 1/52

This is the sum of probabilities because there is no common event for these two.

(d) the top card is the king of spades or the bottom card is the queen of spades?

(ii) 1/52 + 1/51 (once king of spades is there, then probability is 1/51 for bottom card)

(e) of the top and bottom cards, one is the king of spades and the other is the queen of spades?

(vii) 2/52 × 1/51

Because this is twice of probability d.

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Carol opened 20 different bags of the same kind of candy and recorded the colors and their frequencies, as shown in the table.

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It is 14% as you add up all of the numbers and divide 10 by that number and finally multiply by 100 for a percent

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3 years ago

Read 2 more answers

Determine whether 81a2 − 25z6 is a difference of two squares. If so, factor it. If not, explain why.

aev [14]

81 a² - 25 $z^{6}$ is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Step-by-step explanation:

The difference of two squares is a binomial of two terms each term is a square and the sign between the two terms is (-), its factorization is the product of two identical binomials with different middle signs

a² - b² is a difference of two squares
a² - b² = (a + b)(a - b)

∵ The binomial is 81 a² - 25 $z^{6}$

∵ $\sqrt{81}$ = 9

∵ $\sqrt{a^{2} }$ = a

∴ $\sqrt{81a^{2}}=9a$

∵ $\sqrt{25}$ = 5

∵ $\sqrt{z^{6}}$ = z³

∴ $\sqrt{25z^{6}}=5z^{3}$

- The two terms have square root

∵ The sign between them is (-)

∴ 81 a² - 25 $z^{6}$ is a difference of two squares

∵ Its factorization is two identical brackets with different

middle signs

∵ 81 a² = 9a × 9a

∵ 25 $z^{6}$ = 5z³ × 5z³

- The terms of the two brackets are 9a and 5z³

∴ 81 a² - 25 $z^{6}$ = (9a + 5z³)(9a - 5z³)

81 a² - 25 $z^{6}$ is a difference of two squares and its factors are (9a + 5z³) and (9a - 5z³)

Learn more:

You can learn more about the difference of two squares in brainly.com/question/1414397

#LearnwithBrainly

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3 years ago

16 is 4% of what number?

IrinaK [193]

16 is 4% of 400

Change the percentage into a decimal by dividing the decimal over 100:
$\frac{4}{100} = 0.04$

Divide 16 by the decimal (0.04):
$16 \div 0.04 = 400$

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3 years ago

Jasmine has taken an online boating safety course and is now completing her end-of-course exam. As she answers each question, th

seropon [69]

Answer:

80 questions

Step-by-step explanation:

100%/20%=5%

5×16=80

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3 years ago

Mr. Douglas drove 2,482 miles. He spent 42.5 hours in the car driving. What was his avrage speed for the trip?

Readme [11.4K]

Use the formula speed=distance/time, or s=d/t.

Substitute 2,482 for d and 42.5 for t.

s=2,482/42.5

Simply divide for the answer:

Mr. Douglas' average speed for the trip was 58.4 miles per hour.

I hope this helps! ^_^

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3 years ago