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KatRina [158]
3 years ago
15

⦁ Find the distance between the two numbers

Mathematics
1 answer:
NemiM [27]3 years ago
6 0
D = | -12 - 9 | = -21

d = | -2 - (-7) | = 5

d = | 25 - (-1) | = 26
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A disease has a constant force of mortality, µ. Historically 10% of all people with the disease die within 20 years. A more viru
kolbaska11 [484]

Answer:

Step-by-step explanation:

For the disease having force of mortality  µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1-e^{-\mu} = .1

e^{-\mu} = .9

For the disease having force of mortality  2µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1 - e^{-2\mu}

= 1 - ( .9)²

= 1 - .81

= .19

or 19%

5 0
3 years ago
Which of the following ordered pairs represents an output of 5 and an input of -8?
m_a_m_a [10]

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

6 0
3 years ago
PLEASE HELP!!!
AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = \frac{m(b) - m(a)}{b - a}

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = \frac{4 - (-12)}{2 - (-2)}

= \frac{16}{4}

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = \frac{n(b) - n(a)}{b - a}

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = \frac{6 - (-6)}{2 - (-2)}

= \frac{12}{4}

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = \frac{q(b) - q(a)}{b - a}

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = \frac{-12 - (-4)}{2 - (-2)}

= \frac{-8}{4}

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = \frac{p(b) - p(a)}{b - a}

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = \frac{-4 - 12}{2 - (-2)}

= \frac{-16}{4}

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0
3 years ago
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