Hello.
Multiply all terms by x and cancel:
x2x+1=18x
x3+1=18x(Simplify both sides of the equation)
x3+1−18x=18x−18x(Subtract 18x from both sides)
x3−18x+1=0
(Use cubic formula)
x=−4.27015,0.055565,4.214585
Check answers. (Plug them in to make sure they work.)
x=4.214585(Works in original equation)
x=−4.27015(Works in original equation)
x=0.055565(Works in original equation)
So the answer is: 4
Have a nice day
Answer:
Point estimate for the population variance = 3.92 * .
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 *
1.24 1.24 - 1.188 = 0.052 2.704 *
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u><u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data, = = = 1.188
Point estimate of Population Variance = Sample variance
= = = 3.92 * .
Therefore, point estimate for the population variance = 3.92 * .
Answer:
∠XDQ : 41°
∠UXD: 139 °
Step-by-step explanation:
Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.
<em>A segment XD is drawn in rectangle QUAD as shown below.
</em>
<em>What are the measures of ∠XDQ and ∠UXD ?
</em>
My answer:
As we can see in the photo, ∠ADX = 49° and ∠ADU =90°
=> ∠XDQ = ∠ADU - ∠ADX
= 90° - 49° = 41°
In the triangle ADX, we can find out the angle of ∠DXA
= 180° - ∠DAX - ∠ADX
= 180° - 90° - 49°
= 41°
=> <em>∠UXD = </em>180° - ∠DXA (Because UA is a straight line)
=180° - 41°
= 139 °