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
Answer:
Cube - 600 Rectangular Prism - 350
Step-by-step explanation:
Cube - A=6a^2
Rectangular Prism - A=2(wl+hl+hw)
Answer:
m = - 7
Step-by-step explanation:
Given
6(m - 1) = 3(3m + 5) ← distribute parenthesis on both sides
6m - 6 = 9m + 15 ( subtract 9m from both sides )
- 3m - 6 = 15 ( add 6 to both sides )
- 3m = 21 ( divide both sides by - 3 )
m = - 7
10 - 6x = 160 - 10x
+6x +6x
-10 + 6 = -4
10 = 160 - 4x
-160
10 - 160 = -150
-4x = -150
-4x/4 = -150/-4
x= 37.5
ppppp)is dilated from the origin by scale factor r to the world
