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2 years ago

PLEASE ANSWER!!!!!! 3 quarters, 3 dimes, and 5 pennies as fraction and decimal

Mathematics

1 answer:

Radda [10]2 years ago

8 0

Answer:

0.75 3/4, 0.30 3/10, 0.05 1/20

Step-by-step explanation:

25x3 is 75 but because its 75 cents its 0.75
and 3/4 means 0.75 (3 divided by 4 is 0.75)

10x3 is 30 but because its 30 cents its 0.30
and 3/10 means 0.30 (3 divided by 10 is 0.30)

1x5 is 5 and because its 5 cents its 0.05
and 1/20 means 0.05 (1 divided by 20 is 0.05)

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Answer -5 < ___ A.-10 B.0

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3 years ago

3.14 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumula

vovangra [49]

Answer:

(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

Step-by-step explanation:

The cumulative distribution function of the random variable X, the waiting time, in hours, between successive speeders spotted by a radar unit is:

$F(x)=\left \{ {{0;\ x$

(a)

Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:

$12\ \text{minutes}=\frac{12}{60}=0.20\ \text{hours}$

The probability is:

$P(X$

$=(1-e^{-8x})|_{x=0.20}\\\\=1-e^{-8\times 0.20}\\\\=0.7981$

Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.

(b)

The probability density function of X is:

$f_{X}(x)=\frac{d F (x)}{dx}=\left \{ {{0;\ x$

Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:

$P(X$

$=8\times [\frac{-e^{-8x}}{8}]^{0.20}_{0}\\\\=[-e^{-8x}]^{0.20}_{0}\\\\=(-e^{-8\times 0.20})-(-e^{-8\times 0})\\\\=-0.2019+1\\\\=0.7981$

Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.

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3 years ago