Answer:
The three errors are:
1) Incorrectly swapping the variables x and y.
2) Failure to use the ± symbol.
3) The domain is wrong; it should be x ≤ 0.
Step-by-step explanation:
Review the following steps.
Step 1: 
The initial step is incorrect because the variables x and y were switched improperly; it should be:
Step 2: 
Step 3: 
Step 4: 
, for x ≥ 0
Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.
The radicand must be nonnegative, implying that x must satisfy x ≤ 0.
In this scenario, we aim to assess if pennies are genuinely fair when tossed, indicating that they have an equal chance of landing heads or tails. Therefore, the appropriate hypotheses are as follows: Null hypothesis: Alternative hypothesis: A hypothesis can be defined as "a conjecture or theory that is based on inadequate evidence and can be subjected to further examination and experimentation. With continued investigation, a hypothesis can typically be validated as true or false." The null hypothesis is defined as "a hypothesis that posits no statistical significance between the two variables in question. It represents what the researcher seeks to refute." Conversely, the alternative hypothesis is simply "the opposite or inverse of the null hypothesis; it is what the researcher aims to substantiate." For this study, we wish to confirm if pennies are indeed fair when flipped, meaning an equal chance to land heads versus tails, hence the proper hypotheses are: Null hypothesis: Alternative hypothesis:
Part 1) side 1=15'-7" side 2=20'-4" side 3=26'-2" To determine the total length of all three sides, add them together: total length=side 1+side 2 +side 3. By substituting, total length=15'-7"+20'-4"+26'-2" can be expressed as total length=(15'+20'+26')+(7"+4"+2"). This simplifies to total length=(61')+(13"). Keep in mind that 12"=1', so 13" can be expressed as 12"+1"=1'+1". By substituting again: total length=(61')+(1'+1") simplifies to total length=(62')+(1") which leads to 62'-1". Therefore, the total length of the three sides is 62'-1".
Answer: refer to the image
Step-by-step explanation:
