Answer:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0): 
Alternative hypothesis (H1): 
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no
Step-by-step explanation:
For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:
Null hypothesis (H0): 
Alternative hypothesis (H1): 
And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no
Answer:
Step-by-step explanation:
This is actually a very important question and it is very subtle. Let's just take an ordinary segment.
Suppose we have a segment that is this long
=========o=========
The segment up to the o is nine equal signs long.
The segment after the o is also nine equal signs long.
Here's the crunch. Since they are equal, the ratio is 1 to 1. The segment is divided in half.
Now take the second half of the question.
======o============
The left side of the o is 6 equal signs long.
The right side of the o is 12 equal signs long.
The ratio is 1:2. There are still 18 equal signs but now they are divided as 6/12 which is not the same thing as 9/9
Very interesting question.
Answer:
0.03125
Step-by-step explanation:
If we have a fair coin the probability of landing a head is 50%.
We can think the question as what is the probability of landing four tails and then a head. That is we needed at least 5 tries to get a head.

Since this events are independent we can write it as

Answer: OPTION B.
Step-by-step explanation:
Given the following equation:

These are the steps to solve it:
<em>Step 1</em>
Add like terms on the left side of the equation:

<em>Step 2</em>
Apply Addition property of equality, which states that: 
Then, we can add 25 to both sides of the equation:

<em>Step 3</em>
Applying the Subtraction property of equality, we can subtract
from both sides:

<em>Step 4</em>
Applying the Division property of equality, we can both sides of the equation by 3. Then:
