5: c
Not sure of 4 i think its B tho
c) P(5<X<15); (d) the value of the constant c such that P(|X −10|≥c) ≤ 0.04
Answer:
a) 0.4444
b) 0.5556
c) 0.8400
d) 10
Explanation:
Chebyshev’s theorem states that
P(|X - μ| ≥ kσ) = 1/k²
μ = Mean = 10
σ = standard deviation = √variance = √4 = 2
a) P(|X −10|≥3)
Comparing this with P(|X - μ| ≥ kσ)
It is evident that kσ = 3
2k = 3
k = 3/2
k² = 2.25
1/k² = 0.444
P(|X −10|≥3) = 0.444
b) P(|X −10| < 3) = 1 - P(|X −10|≥3)
And P(|X −10|≥3) was found in (a) to be 0.444
So,
P(|X −10| < 3) = 1 - P(|X −10|≥3) = 1 - 0.4444 = 0.5556
c) P(5<X<15) = P(|X-10|<5) = 1 - P(|X-10|≥5)
P(|X-10|≥5) = 1/k²
Comparing with P(|X - μ| ≥ kσ) = 1/k²
where 2k = 5
k = 5/2
k² = 6.25
1/k² = 0.16
P(|X-10|≥5) = 0.16
P(5<X<15) = P(|X-10|<5) = 1 - P(|X-10|≥5) = 1 - 0.16 = 0.8400
d) P(|X −10|≥c) ≤ 0.04
1/k² = 0.04
k = 5
c = kσ = 5×2 = 10
Answer:
v
Explanation:
2. Carbohydrates, lipids and proteins.
- Carbohydrates after digestion produce: glucose
- Lipids after digestion produce: fatty acids and glycerol
- Protein after digestion produce: amino acids
3. Photosynthesis helps by converting carbon dioxide into oxygen and glucose. The glucose is used as food for the plant and oxygen is a by-product. Cellular respiration converts the oxygen and glucose into water and carbon dioxide. Carbon dioxide and water are both by-products and ATP is the energy that is produced from this process. They both work hand-in-hand to make ATP.
Answer: All of the Above
Explanation:
TOPEX/ Poseidon was a joint effort between the USA's NASA and France's CNES from 1992 to 2006 that used satellite technology to study the changes in the ocean's topography and height.
It was hailed for its wide success as it was able to find data to explain various phenomenon that scientists had been trying to explain for a while including how to predict the path of La Nina.
