Answer: $352.48
Step-by-step explanation:
Hi, to answer this question we have to apply the formula:
A = P (1 + r)^t
Where
A: total balance after invest
P: principal amount invested
r = interest rate (in decimal form)
t = time (years)
Replacing with the values given:
500= P (1+0.06)^6
Solving for P:
500 = P (1.06)^6
500 / ( (1.06)^6)=P
500 / 1.4185 =P
$352.48= P
Answer:
(15f + 37f + 52 + 55) = ?
15f + 37f = 52f
52 + 55 = 107
So, (15f + 37f + 52 + 55) = 52f + 107.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Since the sample is greater than 10, we can approximate this binomial problem with a normal distribution.
First, calculate the z-score:
z = (x - μ) / σ = (37000 - 36000) / 7000 = 0.143
The probability P(x > 37000$) = 1 - P(<span>x < 37000$),
therefore we need to look up at a normal distribution table in order to find
P(z < 0.143) = 0.55567
And
</span>P(x > 37000$) = 1 - <span>0.55567 = 0.44433
Hence, there is a 44.4% probability that </span><span>the sample mean is greater than $37,000.</span>
Step 1: Find the standard error (SE)
The standard error is given by
![SE=\frac{s}{\sqrt[]{n}}](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7Bs%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D)
In this case,
Therefore,
![SE=\frac{0.76}{\sqrt[]{74}}\approx0.0883](https://tex.z-dn.net/?f=SE%3D%5Cfrac%7B0.76%7D%7B%5Csqrt%5B%5D%7B74%7D%7D%5Capprox0.0883)
Step 2: Find the alpha level (α)
Step 3: Find the critical probability (P*)
Therefore,
Step 4: Find the critical value (CV)
The critical value the z-score having a cumulative probability equal to the critical probability (P*).
Using the cumulative z-score table we will find the z-score with value of 0.995
Hence,
Step 5: Find the margin of error (ME)
Therefore,
Step 6: Find the confidence interval (CI)
Therefore,
Hence there is a 99% probability that the true mean will lie in the confidence interval
(16.8725, 17.3275)
