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BaLLatris [955]
3 years ago
12

If a penny is tossed five times, what is the probability of all tails? a zero b 1/16 c 1/32 d larger than the probability of all

heads
Mathematics
1 answer:
amid [387]3 years ago
4 0
  Required probability  = (1/2)^5  = 1/32

Its c  (assuming that its a fair coin).
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A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimet
ale4655 [162]

9514 1404 393

Answer:

  • 16,965 mm/min
  • 90π ≈ 282.7 radians/min

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

6 0
3 years ago
Find the range, median, mean, and mode<br> 53,68,6,81,23,6,57,77,57,42,57,81,68
zimovet [89]

Answer:

Population size: 13

Median: 57

Minimum: 6

Maximum: 81

First quartile: 32.5

Third quartile: 72.5

Interquartile Range: 40

Outliers: none

4 0
3 years ago
Practice analyzing quantitative relationships.
ANEK [815]

Answer:

Sorry can't see on school computer :(

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Last night, the two dinner specials at Evan's favorite restaurant were salmon filet and steak. The restaurant served 27 salmon f
kherson [118]
Approximately 42% of the specials was salmon filets.
5 0
3 years ago
Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Si
jek_recluse [69]

The value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.

<h3>What is composite function?</h3>

When a function is written inside the another function, then such function is called the composite function.

The first function given in the problem is,

f(x) = x^2 - x - 2

The second function given,

g(x) = - 6x - 8

To find out the value of g(2), put the 2 on place of variable x in the above equation as,

g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20

The composite function f(g(x)) can be given as,

f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418

Thus, the value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.

Learn more about the composite function here:

brainly.com/question/10687170

5 0
2 years ago
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