Find the values of the variables in each
1 answer:
Answer:
y = 7/3 and x = 1
Step-by-step explanation:
Since this figure is a parallelogram, the opposite sides of the parallelogram are congruent, therefore:
2y-9 = y-2 and 3x+1 = 5x-1
y and x can now be found algebraically:
2y-9 = y-2 3x+1 = 5x-1
3y-9 = -2 -2x+1 = -1
3y = 7 -2x = -2
y = 7/3 x = 1
So y is 7/3 and x is 1. When showing your work I would also mark the opposite sides of the parallelogram as congruent to one another (see image as reference).
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Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
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In which
z is the zscore that has a pvalue of .
The margin of error is of:
37% of freshmen do not visit their counselors regularly.
This means that
98% confidence level
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You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
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Rounding up:
A sample size of 1031 is required.
Answer:
Length of right-angle triangle 'a' = 4
b)
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Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given b = 3 and hypotenuse c = 5
Given ΔABC is a right angle triangle
By using pythagoras theorem
c² = a² + b²
⇒ a² = c² - b²
⇒ a² = 5²-3²
=25 - 9
a² = 16
⇒ a = √16 = 4
The sides of right angle triangle a = 4 ,b = 3 and c = 5
<u><em>Step(ii):-</em></u>
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