4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
Answer:
22.2m
Step-by-step explanation:
1 roll to 12 gifts
one gifts uses 1,85m of ribbon
1,85m is the length
12 × 1.85 = 22.2m
<span>1. The highest speed is 39 mph.
2. 50 percent of the students drove between 15 and 28 mph.
3. A box and whisker plot shows the median speed.
4. 20 is the median speed for this data set.
5. A box and whisker plot is helpful in plotting variations in data and making it easy to read. It is also useful when there are multiple sets of data.</span>
Answer:
Step 1: Expected value = -2.53 dollars
He makes - 1,803.89 dollars over 713 of these bets.
Step 2:
Step-by-step explanation:
Expected value of bet = (Winning probability * winning amount) - (losing probability * losing amount)
Winning probability = (13/52) * (12/51) = 0.0588
Losing probability = 1 - 0.0588 = 0.9412
Expected value = (37 * 0.0588) - (5 * 0.9412)
Expected value = -2.53 dollars
If this same bet of expected value -2.53 dollars is made 713 times, our expected losses are:
2.53 * 713 = 1,803.89 dollars
Thus he makes - 1,803.89 dollars over 713 of these bets.
Answer:
The are known as rigid transformations
Step-by-step explanation: