After combining like terms and simplifying we get
Step-by-step explanation:
We need to combine like terms to simplify the expression:
Like terms: The terms are like when they have same variable and same exponent.
Solving:
So, After combining like terms and simplifying we get
Keywords: Solving Expressions
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Answer:
2 x
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and hypotenuse x
Using Pythagoras' identity on one of the right triangles, then
s² + s² = x²
2s² = x² ( divide both sides by 2 )
s² = ( take the square root of both sides )
s = =
Thus
perimeter = 4s = 4 × =
Multiply numerator/ denominator by
perimeter = = 2
x
Answer:
Step-by-step explanation:
Given that in a rural area, only about 30% of the wells that are drilled find adequate water at a depth of 100 feet or less.
The sample size n = 80
no of wells less than 100 feet deep=27
Sample proportion =
a) Create hypotheses as
(Right tailed test)
p difference
Std error of p =
b) Assumptions: Each trial is independent and np and nq >5
c) Z test can be used.
Z= p diff/std error =
p value = 0.233
d) p value is the probability for which null hypothesis is false.
e) Conclusion: Since p >0.05 we accept null hypothesis
there is no statistical evidence which support the claim that more than 30% are drilled.