Answer:
10 small boxes and 12 large boxes
Step-by-step explanation:
Let x = number of large boxes
Let y = number of small boxes
We are told that;
volume of each small box = 6 cubic feet
volume of each large box = 22 cubic feet.
Total volume = 324 ft³
Thus;
6x + 22y = 324 - - - (eq 1)
We are told that 22 boxes of paper were shipped.
Thus; x + y = 22 - - - (eq 2)
Making x the subject in eq 2 gives;
x = 22 - y
Put 22 - y for x in eq 1;
6(22 - y) + 22y = 324
132 - 6y + 22y = 324
16y = 324 - 132
16y = 192
y = 192/16
y = 12
So, x = 22 - 12 = 10
<span>6x2 -5x –3 = 0
a = 6 b=-5 and c=-3
x = [-b +-sq root (b² -4ac)] / 2a
x = [--5 +-sq root (25 -4*6*-3)] / 2*6
x = [5 +- sq root (25 +72)] / 12
x = [5 +- sq root (97)] / 12
x1 = [5 + </span><span><span><span>9.8488578018
</span>
</span>
</span>
] / 12
x1 =
<span>
<span>
<span>
14.8488578018
</span>
</span>
</span>
/ 12
x1 =
<span>
<span>
<span>
1.2374048168
</span>
</span>
</span>
x2 = [5 -
<span>
<span>
<span>
9.8488578018
</span>
</span>
</span>
] / 12
x2 =
<span>
<span>
<span>
-4.8488578018
</span>
</span>
</span>
/ 12
x2 =
<span>
<span>
<span>
-0.4040714835
</span>
</span>
</span>
Answer:
-4
Step-by-step explanation:
trust me im smart
Answer:
The answer is 0.75.
Step-by-step explanation:
To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.
So there are in total 4 scenarios where no couple is sitting next to each other.
There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.
I hope this answer helps.
Answer:
the first one will be a <u>positive correlation</u>
the answer for the second Q will be 16
Step-by-step explanation:
have a nice day
