<h3>Conner work is correct. Jana work is wrong</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
<em><u>Conner and Jana are multiplying:</u></em>
Given Conner's work is:
We have to check if this work is correct
Yes, Conner work is correct
From given,
Use the following law of exponent
Therefore,
<em><u>Given Jana's work is:</u></em>
This is incorrect
The powers of same base has to be added. But here, powers are multiplied which is wrong
X^2+3x=24, halve the linear coefficient, square it, and add it to both sides
In this case (3/2)^2=2.25
x^2+3x+2.25=26.25 now the left side is a perfect square...
(x+1.5)^2=26.25 take the square root of both sides
x+1.5=±√26.25 subtract 1.5 from both sides
x=-1.5±√26.25
x=-1.5-√26.25 and -1.5+√26.25
x≈ -6.62 and 3.62
To answer this, we need the original equation.
The 99% confidence interval for the true mean is given by:
where:
is the sample mean = 69.7
is the standard deviation = 2.8
is the test statistics = 2.58 for for 99% confidentce interval.
n is the sample size = 772.
Therefore, the 99% confidence interval is:
