Answer:
A
Step-by-step explanation:
using the rule of logarithms
x = n ⇒ x = 
(x + 9) + 3 = 3 ( subtract 3 from both sides )
(x + 9) = 0 , then
x + 9 =
= 1 ( subtract 9 from both sides )
x = - 8
Answer:
<h2>0</h2>
Step-by-step explanation:
all the outcomes you can get from rolling a dice twice are
2,3,4,5,6,7,8,9,10,11,12
15 is nowhere in those numbers so the probability of getting a sum of 15 is 0
Answer:
It's probably D and E
Step-by-step explanation:
If wrong I'm sorry
Answer:
2500
Step-by-step explanation:
So it seems like we have to find the volume in this problem
The equation of volume it
lwh
Length · Width · Height
So all we do now is simply multiply.
50x25x2= 2500.
(Hope you find this helpful)
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:

The margin of error for this interval is:

The critical value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:

![n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ccdot%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%5B%5Cfrac%7B1.645%5Ctimes%202103%7D%7B500%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D47.8707620769%5C%5C%5C%5C%5Capprox%2048)
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.