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ginapogones4958
27.06.2019 •
Mathematics
Asurvey was taken of children between the ages 7 and 12. let a be the event that the person rides the bus to school, and let b be the event that the person has 3 or more siblings.
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Ответ:
The statement is true about whether A and B are independent eventa is fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Step-by-step explanation:
Let A be the event that the person rides the bus to school, then:
P(A)=75/300
P(A)=0.25
Let B be the event that the person has 3 or more siblings, then:
P(B)=24/300
P(B)=0.25
P(A/B)=9/24
P(A/B)=0.375
Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent
Answer. Fourth option:
A and B are not independent events because P(A/B)=0.375 and P(A)=0.25
Ответ:
6 +2√3 ft²
Step-by-step explanation:
Given a triangular pyramid with ...
an equilateral triangular baselateral edge length 2 ftlateral area 6 ft²Find
total surface areaSolution
Since corresponding edges are the same length, the area of each of the three faces is (6 ft²)/3 = 2 ft². This can be computed by ...
A = (1/2)s²·sin(α)
where s is the lateral edge length and α is the angle at the apex formed by the two edges that meet there. Filling in the given values, we find ...
2 ft² = (1/2)(2 ft)²·sin(α)
1 = sin(α) ⇒ α = 90°
That is, each face of the pyramid is an isosceles right triangle with legs of length 2 ft. The hypotenuse of that triangle, the base edge of the pyramid, is then 2√2 ft.
So, the base is an equilateral triangle with edge lengths 2√2 ft. Its area can be computed from ...
A = (√3)/4·s²
where s is the edge length of the equilateral triangle. That is, the base area is ...
A = (√3)/4·(2√2)² = 2√3 . . . . square feet
So, the total surface area of the pyramid is ...
(6 +2√3) ft² ≈ 9.4641 ft² . . . . . total surface area