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garri49 [273]
3 years ago
9

Find mu if mu equals Summation from nothing to nothing [x times Upper P (x )]. ​Then, find sigma if sigma squared equals Summati

on from nothing to nothing [x squared times Upper P (x )]minus mu squared.
Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

Answer:

mu = x√P(x) - £

£ = x√P(x) - xP(x)

Step-by-step explanation:

We have two equations there. Laying them simultaneously, we can derive the formula for "mu" and sigma. Let sigma be "£"

Equation 1

mu = £[xP(x)]

Equation 2

£^2 = x^2 P(x) - (mu)^2

Since we have sigma raised to power 2 (that is sigma square), we find sigma by square rooting the whole equation.

Hence sigma is equal to

[x√P(x) - mu] ...(3)

Since mu = xP(x), we substitute this into equation (3) to get

Sigma = x√P(x) - xP(x)

mu = x√P(x) - £

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2 years ago
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Answer:

I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729

Step-by-step explanation:

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8 0
2 years ago
The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York
beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and  let the distance covered by KY is y

Total distance covered is  x+y=720   ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t+2=\frac{x}{80} .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t=\frac{y}{60} .......[3]

Put the value of t from [3] into [2]

\frac{x}{80}- \frac{y}{60}=2  ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], y=720-x

\frac{x}{80}- \frac{y}{60}=2

\frac{x}{80}- \frac{720-x}{60}=2

\frac{60x-80(720-x)}{80\times60}=2

60x-57600+80x=9600

140x-57600=9600

140x=57600+9600=67200

x=\frac{67200}{140}=480

Put x=480 in [1]

x+y=720  

480+y=720  

y=240  

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

t=\frac{y}{60}

t=\frac{240}{60}

t=4

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.




7 0
2 years ago
If you answer this ill give u brainliest what is 23*45*98-3
nikdorinn [45]

(23*45*98)-3 = 101,427

the answer is = 101,427

23*45 = 1,035

1,035*98 = 101,430

101,430 - 3 = 101,427

7 0
3 years ago
Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $12
lubasha [3.4K]

Answer:

14 weeks. the equation would be a.

Step-by-step explanation:

120-50=70   70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.

3 0
2 years ago
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