The probability is 0.4325. This is close to 0.47, so no, the results do not really contradict the study.
To approximate a normal distribution, we use the fact that
μ = np and
σ² = np(1-p).
This means that σ = √(np(1-p)).
Our formula for a z-score is
z = (X-μ)/σ; using what we just stated, this makes it
z = (X-np)/(√(np(1-p))
For this problem, n=208, p=0.47, and X=99:
z = (99-(208)(0.47))/√((208)(0.47)(0.53))
z = (99-97.76)/√(51.8128) = 1.24/(√51.8128) = 0.17
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this z-score is 0.5675. We want the probability of <u>at least</u> 99 people; this is greater than or equal to, not less than. To find what we need, we subtract from 1:
1 - 0.5675 = 0.4325.
Answer:
Step-by-step explanation:
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Answer:
TRUE
Step-by-step explanation:
That is true, you get 1/cos(Θ) which is sec(Θ)
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Answer: a. Equilibrium Price= 10
b. Equilibrium quantity= 1000
Step-by-step explanation:
Suppose that the quantity supplied s and quantity demanded d of baseball caps at major league game are given by the functions s(p)=1,800-80p and D(p)=100p, where p is the price
A. Find the equilibrium price for the caps at the game. B) Find the equilibrium quantity.
A. The equilibrium price is the price gotten when the demand equals to the supply. This will be:
S(p)=1,800-80p
D(p)=100p
S(p) = D(p)
1,800-80p = 100p
100p + 80p = 1800
180p = 1800
p = 1800/180
p = 10
Equilibrium Price is 10
B. To find the equilibrium quantity goes thus:
S(p)=1,800-80p
= 1800 - 80(10)
= 1800 - 800
= 1000
D(p)=100p
= 100 × 10
= 1000
The equilibrium quantity is 1000.
Answer:
Step-by-step explanation:
Diameter d = 2.5 inches
Height h = 4 inches
Lateral area = πdh =π(2.5)(4) = 10π ≈ 31.4 square inches