Answer:
11 inches
Step-by-step explanation:
The area of a circle can be found using:
We already know that the area is 380, so we can substitute 380 in for a.
380=
Now, we need to find the radius. To do this, we need to get r by itself
First, divide both sides by pi
120.95775675=r^2
Since r is being squared, we need to take the square root of both sides
10.9980796846=r
If we round to nearest whole number, our radius is 11 inches
4 gallons of water is needed to dilute to a concentration of 10%.
<u>Step-by-step explanation:</u>
It is given that,
The 5 gallons of water contains 18% of acid solution.
Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.
We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.
For this, x amount of water should be added.
Therefore, the equation is framed as,
⇒ 0.1 (x+5) = 5 (0.18)
⇒ 0.1x + 0.5 = 0.9
⇒ 0.1x = 0.9 - 0.5
⇒ x = 0.4 / 0.1
⇒ x = 4
∴ 4 gallons of water is needed to dilute to a concentration of 10%.
6b6
——- (Hope this helps)
ac2
Answer:
0.273
Step-by-step explanation:
Let the number of insured pieces of luggage be <em>i</em> and <em>u</em> be the number of uninsured pieces of luggage, therefore,
<em>i </em>+ <em>u </em> = 27
Now,
probability that exactly one of the damaged pieces of luggage is insured = (iC1)(uC3)/(27C4)
probability that none of the damaged pieces are insured = (uC4)/(27C4)
and,
(iC1)(uC3)/(27C4) = 2 (uC4)/(27C4)
=> <em>u − </em>2<em>i </em>= 3
By solving, <em>i </em>+ <em>u </em> = 27 and <em>u − </em>2<em>i </em>= 3
<em>i</em> = 8 and <em>u</em> = 19
and,
(8C2)(19C2)/(27C4) = 0.273
