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3 years ago

7.064 and expanded form

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

Answer:

seven and sixty-four thousandths

Step-by-step explanation:

in factors it would be

7 x 1

+ 0 x 0.1

+ 6 x 0.01

+ 4 x 0.001

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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

can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest

Doss [256]

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.

I hope this helps :)

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7.064 and expanded form ​

7.064 and expanded form