Answer:
(2x^2 + x-3)/(4x^2-9)
Step-by-step explanation:
The denominator looks like an expression in which we have applied the difference of two squares to
In that case, we know that;
a^2-b^2 = (a-b)(a+ b)
That means we would be have 2x + 3 as the other denominator factor and the expression at the denominator would be;
(2x + 3)(2x-3) = 4x^2 - 9
Also, we would have to cancel out 2x + 3 from the numerator too, so as to be left with only the binomial
That means;
(2x+3)(x-1) = 2x^2-2x+ 3x - 3 = 2x^2+x -3
So we have the original expression as;
(2x^2 + x-3)/(4x^2-9)
The Confidence interval for 95% who believes that the local businesses overcharge = (0.7026, 0.7574)
<h3>
What is meant by confidence interval?</h3>
The range of values we see in our sample and hope to identify the value that most closely represents the population are referred to as a confidence interval.
<h3>According to the given information:</h3>
Sample size n = 1000
73% of town residents believed that local businesses overcharged for their products over 1000 resident.
= (1000/100) x 73
= 730
Sample proportion p = 730/1000
= .73
q = 1-p = 0.23
Std error of proportion = √(pq/n)
= √((.73*0.27)/1000)
= 0.0140
95% Z critical value = 1.96
Margin of error = 1.96*0.0140
= 0.0274
Confidence interval = sample proportion ±margin of error
(0.7026, 0.7574)
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Answer:
70degrees
Step-by-step explanation:
It needs to add up to 180 so
45+65=110
so we add 70 because 70+110=180
Answer: 70 degrees
6 + (2 - 3 (4) )+1 / (5) (2) - 4 = -1 /2
<u>Step-by-step explanation:</u>
6 + (2 - 3 (4) )+1 / (5) (2) - 4
Using the BODMAS rule, we can simplify the expression in the following way, like, we have to do the operation inside the brackets first, then division, multiplication, addition and then subtraction.
= 6 + (2 - 3 (4) )+1 / (5) (2) - 4 [operation inside the brackets]
= 6 + (2 - 12) )+1 / (5) (2) - 4
= 6 + (-10) )+1 / (10) - 4
= 6 + 1 -10 / (10) - 4
= 7 - 10/ 6
= -3 / 6
= -1/2
