9514 1404 393
Answer:
7.06
Step-by-step explanation:
This triangle can be solved a couple of ways. In the end, they amount to the same thing.
1) The area is ...
A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base
Using GE as the base, the height (DF) is ...
A = (1/2)(17)(DF)
2(60)/17 = DF = 120/17
DF ≈ 7.06
__
2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...
(long side)/(hypotenuse) = DE/GE = DF/DG
DF = DG(DE/GE) = 8(15/17) = 120/17
DF ≈ 7.06
Answer:
10%
Step-by-step explanation:
Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
ft
Hence, the height of fire hydrant=3 ft
Answer:
2/15
Step-by-step explanation:
2/3 / 5/1 =
2/3 x 1/5 = 2/15
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
