Answer:
105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Given that:
1 gal = 3.7854 l
then
by definition of proportions;

By cross multiply we get;
liters
Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.
Answer:
It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.
Step-by-step explanation:
<em><u>Scalene Triangle</u></em> - All 3 sides have different lengths.
<em><u>I</u></em><em><u>s</u></em><em><u>osceles</u></em><em><u> </u></em><em><u>Triangle</u></em> - 2 sides have equal lengths.
<em><u>Equilateral</u></em><em><u> </u></em><em><u>Triangle</u></em> - All 3 sides have equal lengths.
You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.
I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
If events A,B and C are independed then P (A ∩ B ∩ C) = P (A) P(B) P(C) must be true,
From the probabilities we have
1/365≠ 1/365 * 1/365 * 1/365
Thus, events A,B, C are not independent.
Answer:
The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is
or in simplified terms, 3
Step-by-step explanation:
5n+10-8=2n
5n+2=2n
-3n=2
n=-2/3