Answer:
B. 13 Booths
Step-by-step explanation:
Since there are 78 booths in total, and they are in 6 rows, this means we can divide both numbers to find the answer
78/6=13
So there are 13 booths in each row
Answer:
3x - 11
Step-by-step explanation:
( x - 4 ) + ( 2x − 7 )
*it's better to take away the parenthesis
x - 4 + 2x - 7
Combine like terms
( x with 2x, and -4 with -7)
3x - 11
And you cannot simplify it anymore
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Answer:
The number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean is:
The margin of error for this interval is:
The information provided is:
<em>σ</em> = $569
MOE = $140
Confidence level = 95%
<em>α</em> = 5%
Compute the critical value of <em>z</em> for <em>α</em> = 5% as follows:
*Use a <em>z</em>-table.
Compute the sample size required 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{1.96\times 569}{140}]^{2}\\\\=63.457156\\\\\approx 64](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%20569%7D%7B140%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D63.457156%5C%5C%5C%5C%5Capprox%2064)
Thus, the number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.
Answer:The answer is 45,650 is rounded to the nearest tens.
Step-by-step explanation:
