Answer:
x = 12, z = 86
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
(12x -58 + 13x - 62 ) = 180°
12 x + 13x -58 - 62 = 180°
25x - 120 = 180
25x = 180 + 120
x = 300/ 25
x = 12
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(z° + 13x - 62) = 180
(z° + 13(12) - 62 )= 180
(z° + 156 - 62 )= 180
(z° + 94 ) = 180
z° = 180 - 94
z = 86
It would be, Eighty-four thousand, and fifty two
Answer:
20% of $886.20 is 177.24 so the better deal would be 20% off
Step-by-step explanation:
Answer:
The probability is 0.9211
Step-by-step explanation:
Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.
So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:
P(K/C)=P(K∩C)/P(C)
Where P(C) = P(K∩C) + P(G∩C)
Then, the probability P(K∩C) that the student know the answer and it is correct is:
P(K∩C) = 0.7
On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:
P(G∩C) = 0.3*0.2 = 0.06
Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.
Therefore, The probability P(C) that the answer is correct is:
P(C) = 0.7 + 0.06 = 0.76
Finally, P(K/C) is:
P(K/C) = 0.7/0.76 = 0.9211
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81