Answer:
The value of test statistic is -4.1247
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $3.26 a gallon
Sample mean, 
= $3.19 a gallon
Sample size, n = 32
Sample standard deviation, σ = $0.096
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is -4.1247
The right answer is C)
Consistent and independent system of two linear equations is a system such that there is only one solution for the system, that is, the two straight lines cross at a point. So we can analyze each case and I have attached some graphs to provided you with examples. Those graphs aren't about the equations but it's about general cases:
A) Consistent and dependent. If we divide this given equation by 2 we get the same line. (See Figure 1)
B) Inconsistent. No solutions. (See Figure 2)
C) Consistent and Independent. (See Figure 3)
D) Consistent and dependent.
Answer:
32.08h
Step-by-step explanation:
1700/53= 32.08h is the time
9 pairs = 18 people
24 - 18 = 6
6 divided by 2 = 3 pairs
3 magnets for 3 pairs is 9 magnets.
(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)
1. Just because a number looks big, doesn't mean it is big
Example: 1.00000000000001 < 1.1
just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"
2. Negative numbers are... opposite. and they are less than positive numbers
-3.4 > -4.1
Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers
I hope these tips helped!! :D
