The probability that the machine works in the morning is 50%. This means that out of 100 times it works, it will not overheat 50 times.
The probability that the overheats late if it worked in the morning is 15%. this means that 15% our of the 50 times in the morning when it worked will satisfy this condition, which is 7.5 - so if the machine runs 100 times, it will overheat only in the evening 7.5 times.
The probability that it will overheat only in the evening is 7.5%!
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Answer:
x = -4
, y = -6
Step-by-step explanation:
Solve the following system:
{y = -5 x - 26 | (equation 1)
5 y = 3 x - 18 | (equation 2)
Express the system in standard form:
{5 x + y = -26 | (equation 1)
-(3 x) + 5 y = -18 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{5 x + y = -26 | (equation 1)
0 x+(28 y)/5 = (-168)/5 | (equation 2)
Multiply equation 2 by 5/28:
{5 x + y = -26 | (equation 1)
0 x+y = -6 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = -20 | (equation 1)
0 x+y = -6 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -4 | (equation 1)
0 x+y = -6 | (equation 2)
Collect results:
Answer: {x = -4
, y = -6
When parallel lines are cut by a transversal, the alternate interior angles are equal.
<span>3x + 17 = x + 53</span>
Subtract 'x' from each side:
2x + 17 = 53
Subtract 17 from each side:
2x = 36
Divide each side by 2 :
<u>x = 18</u>
Answer:
2
Step-by-step explanation:
5x - 10 = 0
+10 +10
5x = 10
/5 /5
x = 2
Answer:
x=31
Step-by-step explanation: