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Fudgin [204]
3 years ago
13

(a) Fill in the tavle below to complete the proability distrubution of X

Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

2.6

Step-by-step explanation:

Given :

x 1 2 3 4

P(x) 0.3 0.2 ? 0.4

Σp(x) = 1

Hence, 0.3 + 0.2 +? + 0.4 = 1

0.9 +? = 1

? = 1 - 0.9

? = 0.1

For the mean :

E(X) = ΣX*P(X)

(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)

0.3 + 0.4 + 0.3 + 1.6 = 2.6

Hence, the mean = 2.6

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It is estimated that light takes 110,000 years to travel the full distance across our galaxy
stepladder [879]
\bf \stackrel{light~speed}{3.0\times 10^8}ms^{-1}\implies \stackrel{light~speed}{3.0\times 10^8}~\frac{m}{s}\implies 300,000,000~\frac{m}{s}\\\\
-------------------------------\\\\
\textit{how many seconds in a minute?}\qquad 60
\\\\\\
\textit{how many seconds in }\stackrel{1~hr}{60~minutes?}\qquad 60\cdot 60
\\\\\\
\textit{how many seconds in }\stackrel{1~day}{24~hrs}?\qquad 60\cdot 60\cdot 24
\\\\\\
\textit{how many seconds in }\stackrel{1~year}{365~days}?\qquad 60\cdot 60\cdot 24\cdot 365

now, it takes 1 second for light to travel 300,000,000 meters.

if we know it takes light 1 second to go 300 million meters, then in 365 days or a year, or 60*60*24*365 seconds, it will then travels

300,000,000 * 60 * 60 * 24 * 365 meters in 1 year,

how about in 110,000 years, how many meters has it travelled?

300,000,000 * 60 * 60 * 24 * 365 * 110,000   that many meters.

we know she travels the Milky Way in 110,000 years  or 60 * 60 * 24 * 365 * 110,000  seconds

and we know that 110,000 years is 3468960000000 seconds, so

if it travels 300000000 meters in only 1 second, in 3468960000000 seconds, it will travel then (300000000) * (3468960000000) meters

or  1040688000000000000000 meters.
4 0
3 years ago
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set w
VashaNatasha [74]

Complete Question

A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:

a)F minimum

b) F maximum

c) Frequency resolution

Answer:

a) Fmax=100Hz

b) Fmin=0Hz

c) F_r=0.0313

Step-by-step explanation:

From the question we are told that:

Time t=32sec

FrequencyF=200Hz

Segments \mu=5

Generally the equation for Frequency Range is mathematically given by

Fmax=\frac{F}{2}

Fmax=100Hz

Therefore

a) Fmax=100Hz

b) Fmin=0Hz

c)

Generally the equation for Frequency Resolution is mathematically given by

F_r=\frac{F}{N}

Where

N=The Total dat points

N=Sampling Frequency *Time

N=200*32

N=6400

Therefore

F_r=\frac{200}{6400}

F_r=0.0313

6 0
3 years ago
Please help me out on here! Will give brainlest
laiz [17]

Answer:

7)

Step-by-step explanation:

The pattern is: add two more than you did before: starting from 2.

It would be:

1, 3, 7, 13,  21,  31, 43, 57

+2 +4 +6 +8 +10  +12  +14

Now use this to answer the questions.

Hope this helped!

Have a nice day!

(it would be nice if you gave me brainliest)

Thx :)

6 0
2 years ago
I need help with this one I know I posted this pic on science sorry please help
Alex
Answer=Order of operations

The order of operations (which we use PEMDAS to help us remember) tells you which operation to do first.
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3 years ago
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What is the 7th number in the pattern: 1, 4, 9, 16, 25, ...
Viefleur [7K]

the answer would be d. 39

8 0
3 years ago
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