Answer:
B) 7\8
Step-by-step explanation:
Boy interquartile range = 4
Difference between medians = 3.5
therefore,
3.5
\4 = 7\8
Answer:
B. 30
Step-by-step explanation:
Boys to girls
2 : 3
Units of girls = 3
3 units = 18
1 unit = 18 ÷ 3 = 6
Total number of units = 2 + 3 = 5
5 units = 6 x 5 = 30
Answer:
<h2>400 L of orange punch</h2>
Step-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
<u>400 L of orange punch</u>
You know that three points A,B,CA,B,C (two vectors A⃗ BA→B, A⃗ CA→C) form a plane. If you want to show the fourth one DD is on the same plane, you have to show that it forms, with any of the other point already belonging to the plane, a vector belonging to the plane (for instance A⃗ DA→D).
Since the cross product of two vectors is normal to the plane formed by the two vectors (A⃗ B×A⃗ CA→B×A→C is normal to the plane ABCABC), you just have to prove your last vector A⃗ DA→D is normal to this cross product, hence the triple product that should be equal to 00:
A⃗ D⋅(A⃗ B×AC)=0
Answer:
Step-by-step explanation:
14.50*40=580 for reg pay
754-580=174 over time
14.50*1.5=21.75 an hour for ot
174/21.75=8 hours of overtime
