Ending Amount = Beginning Amount / 2^n
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives
Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg /
<span>
<span>
<span>
5,792.6
</span></span></span>Ending Amount =
<span>
<span>
<span>
0.00017263 kilograms = </span></span></span><span>0.17263 grams
</span>
Answer:
The surface area of the gift box is = 
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:
in this case, r is not a number, but rather an expression, which is r = 
.
The height of the gift box is twice the radius, which is h = 
To get our curved surface area, we carefully put the expressions for h and r into the equation.
The surface area of the gift box is =
Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
In exact form that would 2 over 49 and in decimal form that would be 0.04.
