Answer: i don't know the answer but im going to list conjectures of what make a parallelogram a parallelogram
Step-by-step explanation:
Parallelogram opposite angles conjecture: Opposite sides of a parallelogram are congruent.
Parallel opposite sides conjecture: opposite sides of a parallelogram are congruent.
Parallelogram diagonals conjecture: the diagonals of a parallelogram bisect each other
Sixth graders can have 4 groups of 4
seventh graders can have 5 groups of 4
Given:
p = 90% = 0.9, the probability that an adult has had chickenpox by age 50.
Therefore,
q = 1 - p = 0.1, the probability that an adult has not had chickenpox by age 50.
Part (a)
Because there are only two answers: "Yes" or "No" to whether an adult has had chickenpox by age 50, the use of the binomial distribution is justified.
Part (b):
Calculate the probability that exactly 97 out of 100 sampled adults have had chickenpox.
The probability is
P₁ = ₁₀₀C₉₇ (0.9)⁹⁷ (0.1)³ = 0.0059
Answer: 0.006 or 0.6%
Part (c)
Calculate the probability that exactly 3 adults have not had chickenpox.
Theis probability is equal to
P₂ = 1 - P₁ = 1 - 0.006 = 0.994
Answer: 0.994 or 99.4%
Part (d)
Calculate the probability that at least 1 out of 10 randomly selected adults have had chickenpox.
The probability is
P₃ = ₁₀C₀ (0.9)⁰ (0.1)¹⁰ + ₁₀C₁ (0.9)¹ (0.1)⁹ = 10⁻¹⁰ + 10⁻⁹ = 10⁻⁹ ≈ 0
Answer: 0
Part (e)
Calculate the probability that at most 3 out of 10 randomly selected adults have not had chickenpox.
The probability is
P₄ = 1 - [₁₀C₀ (0.9)⁰(0.1)¹⁰ + ₁₀C₁ (0.9)¹(0.1)⁹ + ₁₀C₂ (0.9)²(0.1)⁸ + ₁₀C₃ (0.9)³(0.1)⁷]
= 1 - (10⁻¹⁰ + 9 x 10⁻⁹ + 3.645 x 10⁻⁷ + 8.748 x 10⁻⁶)
= 1
Answer: 1.0 or 100%
Total area of land = 1 + 1/2 = 3/2 square miles
Area of square fields = 1/4 x 1/4 = 1/16 square miles
Number of fields = (3/2) / (1/16) = 24 fields.
Answer:
The total amount Manuel spent on video game and DVD rentals in the past month is $43.3
Step-by-step explanation:
Manuel 7 video games and 6 DVDs
if video games cost $2.50 and DVD = $4.30
(7 × 2.50) + (6 × 4.30) = 17.5 + 25.8
= $43.3
Therefore the total amount Manuel spent on video game and DVD rentals in the past is $43.3
