Answer:
with 0.10 level of significance the P-VALUE that would be used in the hypothesis claim is 0.05%
Step-by-step explanation:
In hypothesis testing in statistics, we can say that the p-value is a probability of obtaining test results when we assume that the null hypothesis is correct.
The p-value is the probability that the null hypothesis is true.
A p-value less than or equals to 0.05 is statistically significant. It shows strong evidence against the null hypothesis, meaning there is less than a 5% probability the null is correct and clearly we can say that the results are random.
Irrational numbers are numbers that cannot be expressed in fractions
The expression is:

We will use following steps to simplify it:
Step 1:
Use product property of exponents:



That gives us the expression:

Step 2:
Use division property of exponents:



This simplifies the expression:

Step 3:
Writing the square root as power 1/2:


Answer:
The final simplified form in x^n form is :

12.5/100
This can be simplified to:
125/1000
The amount of money that Hudson will need to save each week is $106.25.
<h3>How to calculate the value?</h3>
From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.
Let the amount saved each week be represented as w.
Based on the information given, this will be illustrated as:
1500 + 16w = 3200
Collect like terms
16w = 3200 - 1500
16w = 1700
Divide
w = 1700 / 16
w = 106.25
The amount is $106.25.
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