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Lerok [7]
3 years ago
7

The graph below plots a function f(x):

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

-50

Step-by-step explanation:

The rate of change formula = f(b) - f(a) / b - a

f(b) = the end number (so basically 0 becuase the line ends on the point (3, 0))

f(a) = the start number (so basically 150 becuase the line starts on the point (0, 150)

b = the end time (so basically 3 becuase the line ends on the point (3, 0))

a = the start time (so basically 0 becuase the line starts on the point (0, 150)

--

sorry if that is confusing... moving on...

--

You would apply these numbers = 0 - 150 / 3 - 0 = -150 / 3 = -50

--

This is your rate of change

--

I hope this helped :)

Afina-wow [57]3 years ago
7 0
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50

Therefore, the average rate of change of the function in the three seconds is -50.
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UPPER AND LOWER BOUNDS - PLEASE HELP!
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Qn. 1
Lower bound for Zoe's weight = 62 - (1/2) = 62 - 0.5 = 61.5 kg

Qn. 2
Upper bound for length AB = 8.3+ (0.1/2) = 8.3+0.05 = 8.35 cm

Qn. 3
Upper bound for Anu's wight = 83+(0.5/2) = 83+0.25 = 83.25 kg

Qn. 4
Lower bound for length CD = 27-(0.5/2) = 27-0.25 = 26.75 cm

Qn. 5
Upper bound for sides of the hexagon = 3.6+(0.1/2) = 3.6+0.05 = 3.65 cm
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Bound = 0.5/4 = 0.125
Lower bound of the length = 6-0.125 = 5.875 cm

Qn. 7
For the area,
Upper bound = 80+(10/2) 80+5 = 85 cm^2
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8 0
3 years ago
Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events: a) the tenth card is a queen; b
Veronika [31]

Answer:

  • 0.0374
  • 0.0010

Step-by-step explanation:

number of cards = 52

number of queen = 4

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p = 4/52

P( x,r,p) = x-1Cr-1*p^(r) * q^(x-r)

p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374

B) probability the twentieth card is a spade

x = 20

r = 1

p = 13 / 52

P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010

c)  The last five cards been spades

p(last five cards been spades )

p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5

 

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