Answer:
162 miles
Step-by-step explanation:
108m / 4g = 27m/g
27m = 1 g
27m x 6g = 162
Answer:
Common difference(d) 
(21) -10 -548
(22) -7 -323
(23) 10 547
(24) -100 -5118
Step-by-step explanation:
Let the common difference be denoted by 'd'.
Also the nth difference of an arithmetic sequence is given by: 
(21)
We are given a recursive formula as:

The first term is given by:

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

The nth term of an arithmetic sequence is given by:

Here
and
.
Hence, 
Hence, 
(22)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(23)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(24)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
Answer:
we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
Step-by-step explanation:
We are given;
Sample size;n = 6970
Success rate;X = 1334/6970 = 0.1914
Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;
H0: μ < 0.2
Ha: μ ≥ 0.2
The standard deviation formula is;
σ = √(x(1 - x)/n)
σ = √(0.1914(1 - 0.1914)/6970)
σ = 0.004712
Now for the test statistic, formula is;
z = (x - μ)/σ
z = (0.1914 - 0.2)/0.004712
z = -1.825
From the a-distribution table attached, we have a value of 0.03362.
This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.