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52. Rahzel wants to determine how much gasoline they had every month
=> He used 78 1/3 gallons of gas monthly
=> his wife used 41 3/8 gallons of gas last month
How much is to total of gas that they both used.
First let’s convert this fraction to decimal
=> 78 1/3 = 78.33
=> 41 3/8 = 41.38
Now, let’s start adding.
=> 78.33 + 41.38 = 119.71 this is already rounded to the nearest hundredths.
Answer:
a) Calculate the probability that at least one of them suffers from arachnophobia.
x = number of students suffering from arachnophobia
= P(x ≥ 1)
= 1 - P(x = 0)
= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰
]
= 1 - (0.95)¹¹
= 0.4311999 = 0.4312
b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666
= P(x = 2)
= (¹¹₂) x (0.05)² x (0.95)⁹
where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55
= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867
c) Calculate the probability that at most 1 of them suffers from arachnophobia?
P(x ≤ 1)
= P(x = 0) + P(x = 1)
= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]
= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981
Answer:
The correct set of hypotheses is
: d=80 degrees
: d>80 degrees
Step-by-step explanation:
The weatherman claims that the average temperature during July in Chattanooga is 80 degrees or less. To test this claim, following hypotheses need to be taken:
Let d be the the average temperature during July in Chattanooga, then
: d=80 degrees
: d>80 degrees
