Answer:
The sum of the angles in any triangle is 180 degrees. If one of the three angles is 90 degrees (a right angle) the the sum of the other two angles is 90 degrees. Therefore each of the other two angles must be acute.
The statement is TRUE.
Step-by-step explanation:
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
<h2>Explanations:</h2>
From the given question, we have the following parameters
Cost of a small greeting card = $1.60
The cost of a large greeting card = $4.05.
Cost of 5 small greeting cards = 5(1.60)
Cost of 5 small greeting cards = $8.00
Cost of 4 large greeting cards = 4(4.05)
Cost of 4 large greeting cards = $16.2
Cost of 5 small and 4 large = $8.00 + $16.2
Cost of 5 small and 4 large $24.2
Hence it would cost $24.2 to get 5 small greeting cards and 4 large greeting cards
Similarly;
Cost of x small greeting cards = 1.60x
Cost of y large greeting cards = 4.05y
Cost of small greeting cards and y large greeting cards = 1.60x + 4.05y
Hence it would cost $(1.60x + 4.05y) to get x small greeting cards and y large greeting cards
Answer: No solution
Step-by-step explanation: -12x-14=-62-12x
You would have to simplify the -12x but you can't so this would be a no solution.
