<span>We are given that ||e|| = 1, ||f|| = 1. </span>
<span>Since ||e + f|| = sqrt(3/2), we have </span>
<span>3/2 = (e + f) dot (e + f) </span>
<span>= (e dot e) + 2(e dot f) + (f dot f) </span>
<span>= ||e||^2 + 2(e dot f) + ||f||^2 </span>
<span>= 1^2 + 2(e dot f) + 1^2 </span>
<span>= 2 + 2(e dot f). </span>
<span>So e dot f = -1/4. </span>
<span>Therefore, </span>
<span>||2e - 3f||^2 = (2e - 3f) dot (2e - 3f) </span>
<span>= 4(e dot e) - 12(e dot f) + 9(f dot f) </span>
<span>= 4||e||^2 - 12(e dot f) + 9||f||^2 </span>
<span>= 4(1)^2 - 12(-1/4) + 9(1)^2 </span>
<span>= 4 + 3 + 9 </span>
<span>= 16. </span>
It is a 0.25 increase. Plz plz plz give me brainiest answer I only need 4 more to rank up. If u do I will show my work.
We know that
total toppings=15
<span>meat toppings=5
</span>
<span>The first person has a
5/15 chance of getting a meat topping.
The second person has a
4/14 chance because there are no repeats,
The third person would have a
3/13 chance.
Since there are three multiply
5/15 * 4/14 * 3/13.=60/2730
</span>60/2730-------> divide by 30 both members------> 2/91
the answer is
2/91
Answer:
1.000
Step-by-step explanation:
