The larger number is 7 more than the smaller. Three times the larger number is 5 more than 4 times the smaller number. Find the numbers.
Answer:
$2500
Step-by-step explanation:
First, multiply the $15 for the 150 people attending, to get 2250. Next, add the last $250 to get a total cost of $2500
Hopefully this helps- let me know if you have any questions!
It would be 70% of 400
490(.7) = 280
Answer:
the slope is -8/5
Step-by-step explanation:
we need to get the equation in the form
y= mx+b where m is the slope and b is the y intercept
8x + 5y =40
subtract 8x from each side
8x-8x + 5y = -8x +40
5y = -8x+40
divide each side by 5
5y/5 = -8x /5 + 40/5
y = -8/5 x +8
the slope is -8/5 and the y intercept is 8
Answer:
The sample size required is 102.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

The margin of error for this interval is:

Given:
<em>σ</em> = 9.2
(1 - <em>α</em>)% = 90%
MOE = 1.5
The critical value of <em>z</em> for 90% confidence level is:

*Use a <em>z</em>-table.
Compute the value of <em>n</em> as follows:

![n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.645\times 9.2}{1.5}]^{2}\\=101.795\\\approx102](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.645%5Ctimes%209.2%7D%7B1.5%7D%5D%5E%7B2%7D%5C%5C%3D101.795%5C%5C%5Capprox102)
Thus, the sample size required is 102.