Answer:

**Answer:**

E[X] = (np) (p+(1-p))^(n-1)

With n =10,000 and p=0.50 we get

E[X]= (10,000*0.50) (0.50+(1–0.50))^(10,000–1)

E[X] = 5,000(1)

So assuming the coin is fair (p=50%), then we can expect to get heads 5,000 times when the coin is tossed 10,000 times.

**Step-by-step explanation:**

What is 75miles/hr in feet/second?(1mile = 5280feet)

What is (1+2+3+4+5) + (1*2*3*4*5)?HURRY

3. Solve for x.3r + 119x-14

Help find the circumstance and area

Sum of series 1 +1/3 +1/3².... is?

What is (1+2+3+4+5) + (1*2*3*4*5)?HURRY

3. Solve for x.3r + 119x-14

Help find the circumstance and area

Sum of series 1 +1/3 +1/3².... is?

**Answer:**

1,701

**Step-by-step explanation:**

the answer is 1,701 :D

per hour. Make a table of values and then write an equation for L, in terms oft,

representing the length of the candle remaining unburned, in inches, t hours after the

candle was lit.

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Substitute 9 as x in the given function:

44-2(3(9)+4)=-18

Now check and see if the statement it true and simplify.

44-2(27+4)=-18

44-2(31)=-18

44-62=-18

-18=-18

You can see this is true !!

Show my work to answer this question .

44-2(3(9)+4)=-18

Now check and see if the statement it true and simplify.

44-2(27+4)=-18

44-2(31)=-18

44-62=-18

-18=-18

You can see this is true !!

Show my work to answer this question .

3+ – 5(4+ – 3v)

**Answer:**

The answer is

**Step-by-step explanation:**

3+ – 5(4+ – 3v) can be written as

3 - 5( 4 - 3v)

Expand and simplify

That's

3 - 20 + 15v

15v - 17

Hope this helps you

**Answer:**

And we can use the complement rule and we got:

**Step-by-step explanation:**

**Previous concepts**

**Normal distribution**, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The **Z-score** is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

**Solution to the problem**

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

Where and

Since the distribution of X is normal then the distribution for the sample mean is given by:

And we can use the z score formula given by:

And using this formula we got:

And we can use the complement rule and we got:

Answer: the probability is 0.49

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52

σ = $623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

In fraction 5/16

In decimal 0.3125

In decimal 0.3125