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Reil [10]
2 years ago
7

Determine if the statements below are true or false. Justify your answer. (a) If a fair coin is tossed many times and the last e

ight tosses are all heads, then the chance that the next toss will be heads is somewhat less than 50%. (b) Drawing a face card (jack, queen, or king) and drawing a red card from a full deck of playing cards are mutually exclusive events. (c) Drawing a face card and drawing an ace from a full deck of playing cards are mutually exclusive events.
Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

(a) is False (b) is true (c) is true

Step-by-step explanation:

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By using the table in the handbook, the present value of $12,000 for six years compounded at 6 percent semiannually is
denis23 [38]
Take a look at the attachment to see the solution.
A = future value
P = principal (P = 12,000)
r = interest rate (r=6)
n = time periods (n=12)

6 0
3 years ago
The vector 〈4,1〉 describes the translation of A(-1, w) to A'(2x+1,\ 4) and B(8y-1,1) onto B'(3,3z) . Find the values of w, x, y,
expeople1 [14]

The values of the variables associated ot translation operations are (w, x, y, z) = (3, 1, 0, 2 / 3).

<h3>How to determine the values of the variables associated to translation operations</h3>

Herein we find two translation cases of points set on Cartesian plane. Translations are rigid operations of the form:

P'(x, y) = P(x, y) + T(x, y)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • T(x, y) - Translation vector

Now we proceed to determine the values of the variables w, x, y, z behind each translation operation, substitute on each component and solve the resulting formula:

T(x, y) = A'(x, y) - A(x, y)

(2 · x + 1, 4) - (- 1, w) = (4, 1)

(2 · x + 2, 4 - w) = (4, 1)

(x, w) = (1, 3)

T(x, y) = B'(x, y) - B(x, y)

(3, 3 · z) - (8 · y - 1, 1) = (4, 1)

(4 - 8 · y, 3 · z - 1) = (4, 1)

(y, z) = (0, 2 / 3)

To learn more on translations: brainly.com/question/12463306

#SPJ1

6 0
1 year ago
What is the greatest factor of 24 and 36
Mumz [18]
If you reduce them by 12 you'll get
\frac{2}{3}
If that's what you're asking
6 0
3 years ago
Read 2 more answers
Seahorses change color and swim together in predetermined ways before mating. These behaviors are called
Anastasy [175]
The answer is c.
i have sea horses
7 0
3 years ago
Read 2 more answers
Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
wariber [46]

Answer:

<h2>16 days</h2>

Step-by-step explanation:

Let x be the number of days that it will take.

7/8 km per 1 day

14 km    per x day

We have to solve the equation:

\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right)  }

\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16

7 0
1 year ago
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