One inch equals 25 miles
Two inches equals fifty miles
Three inches equals seventy five miles
Four inches equals one hundred miles
.1 inches equals 2.5 miles
.4 inches equals 10 miles
Seventy five miles plus ten miles equals eighty five miles.
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Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
P(most favorable outcome) = 1 -(0.03 +0.16 -0.01) = 0.82
_____
"repair fails" includes the "infection and failure" case, as does "infection". By adding the probability of "repair fails" and "infection", we count the "infection and failure" case twice. So, we have to subtract the probability of "infection and failure" from the sum of "repaire fails" and "infection" in order to count each bad outcome only once.
The probability of a good outcome is the complement of the probability of a bad outcome.
Answer:
Step-by-step explanation:
x^2 + 3x - 10 = 0
(x - 2)(x + 5) = 0
x - 2 = 0 x + 5 = 0
x = 2 x = -5
smaller x = -5
larger x = 2
