Answer:
6x=30
Step-by-step explanation:
6(5) equals 30
We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.
Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.
Let us first find LCM of 24 and 5. The LCM is 120.
Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

We can set this equal to the given profit to figure out the value of x first.

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.
Answer:
Mean= 5.70
Standard deviation= 0.132
Step-by-step explanation:
For the distribution of sample mean:
Mean of the sampling distrubution = \mu = 5.70
Standard deviation of the sampling distrubution = sigma/sqrt{n} = 1.7201 /sqrt{170} = 0.132
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm