Answer:
No. The data in this study were not based on a random method. This is a key requirement for an inference to be made from the two-sample t-test.
Step-by-step explanation:
1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance. There are three conditions to be met when using the two-sample t-test.
2. The first condition is that the sampling method must be random. This requirement was not met in this study. Each customer from each store should have an equal chance of being selected for the study. This was not achieved.
3. The distributions of the sample data are approximately normal. This is achieved with a large sample size of 30 customers selected for each study.
4. The last but not the least condition is the independence of the sample data. Sample data here is independent for both samples.
Answer:
5832 ways
Step-by-step explanation:
Since the circle has 8 sectors and there is 4 colour,
Assuming the sectors are numbered 1 to 8,
Sector 1 : can be coloured with any of the 4 colour in 4 ways
Sector 2 can be coloured with any of the remaining 3 colours in 3 ways
Sector 3 in 3 ways without using the colour in sector 2
Sector 4 in 3 ways without using the colour in sector 3
Sector 5 in 3 ways without using the colour in sector 4
Sector 6 in 3 ways without using the colour in sector 5
Sector 7 in 3 ways without using the colour in sector 6
Sector 8 in 2 ways without using the colours in sector 1 and 7
Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways
Answer:
-5x^2 +14x +24
Step-by-step explanation:
(x-4)(-5x - 6)
FOIL
first : x*-5x = -5x^2
outer : -6x
inner: -4*-5x = 20x
last: -4*-6 = 24
Add them together
-5x^2 -6x+20x +24
-5x^2 +14x +24
Solution:
<u>It should be noted:</u>
- If the starting point of the inequality is half shaded, the sign will be < or >.
- If the starting point of the inequality is fully shaded, the sign will be ≤ or ≥.
<u>We can tell that:</u>
- The inequality will either have an < or > sign.
- The blue line tells us that the value of x must be greater than -1.
This clearly tells us that the inequality is x > -1
<u>In conclusion:</u>
Option C is correct.
What are the measurements?
