What faction of the girls in the class have long brown hair and green hair? 3/4 of the girls have brown hair,3/4 of the girls ha
ve long hair and 1/3 of the girls have green eyes
1 answer:
Answer:
A similar problem to yours is attached in the picture below. We adjust the data of the problem in the picture to fit your question.
The answer is (3/4)*(3/4)*(1/3) = 3/16 of the girls in the class have long brown hair and green eyes
Step-by-step explanation:
As every condition must contain the set we are studying, we are talking about and AND condition, and thus we need to multiply each term to get the correct result.
3/4 * (3/4) * (1/3) = 3/16
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Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = - = -
= 8
product of zeros = αβ = = Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15