Suppose that true average price of a beer at professional sporting events in the US is $6. You attend 34 events and find an aver
1 answer:
Answer: The standard error for sample is 0.0686 .
Step-by-step explanation:
We know that the formula to find the standard error is given by :-
, where s = standard deviation
n= Sample size
As per given , we have
s= $0.4 and n= 34
Then , the standard error for sample is given by :-
Hence , the standard error for sample is 0.0686 .
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From the information given, we can see that the mass of Iodine-131 halves about every 8 days. There are 3 sets of 8 days in 24 days, so we will need to halve the mass of the sample 3 times:
50÷2=25
25÷2=12.5
12.5÷2=6.25
So after 24 days, the Iodine-131 sample will be 6.25g.
Here's a formula to figure this out, when dealing with bigger numbers:
Where
a = final amount
i = initial amount
1/2 is used because we are dealing with half lifes
t = time
h = half life of the isotope
50÷2=25
25÷2=12.5
12.5÷2=6.25
So after 24 days, the Iodine-131 sample will be 6.25g.
Here's a formula to figure this out, when dealing with bigger numbers:
Where
a = final amount
i = initial amount
1/2 is used because we are dealing with half lifes
t = time
h = half life of the isotope
Answer:
a₁₅ = 30
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 10 and a₁₀ = 20 , then
a₁ + 4d = 10 → (1)
a₁ + 9d = 20 → (2)
Subtract (1) from (2) term by term to eliminate a₁
5d = 10 ( divide both sides by 5 )
d = 2
Substitute d = 2 into (1) and solve for a₁
a₁ + 4(2) = 10
a₁ + 8 = 10 ( subtract 8 from both sides )
a₁ = 2
Then
a₁₅ = 2 + (14 × 2) = 2 + 28 = 30