<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
KT is twice the length of TM.
Multiply TM by 2:
TM = 2y +6
Now set KT and TM to equal and solve:
5y +3 = 2y +6
Subtract 3 from each side:
5y = 2y +3
Subtract 2y from each side:
3y = 3
Divide both sides by 3:
y = 3/3
y = 1
The answer is C.
1/80 = 0.0125
1/5 = 0.2
0.0125-0.2 = -0.1875
-0.1875 = -3/16
Step-by-step explanation:
Total bulbs = 80
Probability of defective bulbs = 45/80 = 9/16
Probability of non warranty bulbs = 32/80 = 4/5
All of possible ratios of boys to girls that could be made is 8:16; 4:8; 2:4; 1:2
Hope it helps, Brainliest if it <3
