Response:
a. 0.76
b. 0.23
c. 0.5
d. p(B/A) signifies the likelihood that a student with a visa card also possesses a MasterCard.
p(A/B) indicates the probability that a student with a MasterCard also has a visa card.
e. 0.35
f. 0.31
Detailed explanation:
a. p(AUBUC) = P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) + P(AnBnC)
= 0.6 + 0.4 + 0.2 - 0.3 - 0.11 - 0.1 + 0.07 = 0.76
b. P(AnBnC') = P(AnB) - P(AnBnC)
= 0.3 - 0.07 = 0.23
c. P(B/A) = P(AnB)/P(A)
= 0.3/0.6 = 0.5
e. P((AnB)/C) = P((AnB)nC)/P(C)
= P(AnBnC)/P(C)
= 0.07/0.2 = 0.35
f. P((AUB)/C) = P((AUB)nC)/P(C)
= (P(AnC) U P(BnC))/P(C)
= (0.11 + 0.1)/0.2
= 0.21/0.2 = 0.31
Answer: refer to the image
Step-by-step explanation:
To resolve this issue, you simply multiply base 1 by height 1, which equals base 2 multiplied by height 2. Inserting our values yields 24 * 4 = 5 * height 2. By solving, we find the missing height to be 19.2.
Given that the relationship is linear.
The equation can be expressed as y = mx + c.
Substituting, when x = 0, we have y = 32.
Thus, 32 = c.......( 1 )
Then, when x = 100, y results in 212.
Which gives us:
212 = 100m + c.......( 2 )
By equating equations 1 and 2, we obtain:
100m = 212 - 32
Solving for x yields 1.8.
The final equation is therefore y = 1.8x + 32.
Hence, this represents the required solution.
Answer:
Area of land = 0.056 hectares
Detailed explanation: Knowing that
A typical person in the country requires 2,450 kilocalories each day. This means
An individual consumes 2450 kilocalories daily
The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.
Thus, in one day, for one individual, we have
15737000 = 2450/hec
Hectare = 2450/15737000
Hectare = 1.5568 × 10 -4
The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be
Calculated hectare × 365.25
Hectare = 1.5568 × 10 -4 × 365.25
Area of land = 0.056 hectares
