10,800 :) 8 multiplied by 1,350 would give you 10,800 miles.
Answer:
a
The null hypothesis is

The Alternative hypothesis is

b

c

d
Yes the mean population is significantly less than 21.
Step-by-step explanation:
From the question we are given
a set of data
20 18 17 22 18
The confidence level is 90%
The sample size is n = 5
Generally the mean of the sample is mathematically evaluated as


The standard deviation is evaluated as



Now the confidence level is given as 90 % hence the level of significance can be evaluated as

%

Now the null hypothesis is

the Alternative hypothesis is

The standard error of mean is mathematically evaluated as

substituting values


The test statistic is evaluated as

substituting values


The critical value of the level of significance is obtained from the critical value table for z values as

Looking at the obtained value we see that
is greater than the test statistics value so the null hypothesis is rejected
Answer:
47
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Problem 1 is fully factored as each term is a binomial raised to some exponent. If the exponent isn't showing up, it's because it is 1. Recall that x^1 = x.
Problem 2 can be factored further because x^2-8x+16 factors to (x-4)(x-4) or (x-4)^2. To get this factorization, you find two numbers that multiply to 16 and add to -8. Those two numbers are -4 and -4 which is where the (x-4)(x-4) comes from. Overall, the entire thing factors to (x-4)^2*(x+3)*(x-2)
Problem 3 is a similar story. We can factor x^2-1 into (x-1)(x+1). I used the difference of squares rule here. Or you can think of x^2-1 as x^2+0x-1, then find two numbers that multiply to -1 and add to 0. Those two numbers are +1 and -1 which leads to (x+1)(x-1). So the full factorization is (x-1)(x+1)(x+1)(x-4) which is the same as (x-1)(x+1)^2(x-4)