Answer:
Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].
Step-by-step explanation:
We have to construct a 98% confidence interval for the mean.
The information we have is:
- Sample mean: 31
- Variance: 49
- Sample size: 15
- The age is normally distributed.
We know that the degrees of freedom are
Then, the t-value for a 98% CI is t=2.625 (according to the t-table).
The standard deviation can be estimated from the variance as:
The margin of error is:
Then, the CI can be constructed as:
Answer:
i cant really tell because there is no real explannation
Step-by-step explanation:
Answer:
$134.75
Step-by-step explanation:
(1.00 - 0.23)($175) represents the sales price. This is equivalent to
0.77($175) = $134.75
Step-by-step explanation:
an arithmetic sequence is a sequence of terms, where every term is created by adding a certain constant to the previous term.
a geometric sequence is when every term is created by multiplying the previous term by a certain constant.
the x coordinate serves as "n" counter of the terms in the sequence.
and the y coordinate is the actual sequence term of that "n".
so, we have
a1 = 4
a2 = 8
a3 = 16
a4 = 32
A)
I think, now it is obvious : the sequence is built by multiplying the previous term by 2.
and this is therefore a geometric sequence.
B)
a2 = a1 × 2 = 4×2 = 8 minutes
a3 = a2 × 2 = a1 × 2 × 2 = 4 × 2 × 2 = 4 × 2² = 16 minutes
a4 = a3 × 2 = 16 × 2 = 32 minutes
a5 = a4 × 2 = 32 × 2 = 64 minutes
C)
based on B we see
an = an-1 × 2 = a1 × 2^(n-1) = 4 × 2^(n-1) = 2² × 2^(n-1) =
= 2^(n+1) minutes
therefore
a8 = 2^(n+1) = 2⁹ = 512 minutes
