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3 years ago

What is (4.81 x 10 exponent of 16) (1.1 x 10 exponent -4) in scientific notation?

Mathematics

2 answers:

Marrrta [24]3 years ago

7 0

Answer:5.291x10^12

Step-by-step explanation:

Kazeer [188]3 years ago

6 0

Exact form: 5.291 x 10^17
decimal form: 5.291 x 10^17

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Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec

o-na [289]

Answer:

(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...$

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

$=1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007$

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

$=\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483$

Thus, the probability of the event (X < 64) is 0.483.

5 0

3 years ago

Answer this I need help

Romashka [77]

The data is

8,9,9,10,12,12,13,14,15,15,15,16,18,19,20

There are 15 data points

The median is the 15/2 = 7.5 rounding to 8

The 8th data point

8,9,9,10,12,12,13, 14, 15,15,15,16,18,19,20

Take the 7 points on the left and divide in half

8,9,9, 10 ,12,12,13, 14, 15,15,15, 16, 18,19,2

The interquartile range is the middle of the upper half of the data minus the middle of the lower half of the data

16 - 10 = 6

4 0

3 years ago

The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in Mar

Vinvika [58]

At the beginning it was 22 inches below normal (-22).
Then it decreased by 3 1/6 (-19/6).
Then increased by 1 6/7 (+13/7)

-22 - 19/6 + 13/7
-924/42 - 133/42 + 78/42
-1057/42 + 78/42
-979/42
-23 13/42

It was 23 13/42 inches below normal after April.

8 0

4 years ago

Destiny can run one-eighth of a mile in three-quarters of a minute, and she can walk one-quarter of a mile in 4 minutes. How man

yarga [219]

Answer:

a) Destiny can run 1 mile is 6 minutes.

b) Destiny can walk back 1 mile is 16 minutes.

Step-by-step explanation:

The running rate of Destiny is

$(\frac{1}{8}) \textrm{mile in} (\frac{3}{4}) \textrm{minutes}$