Ln 30 + ln 2 - ln 12
ln (30 * 2) - ln 12 (when there is a + between ln you can multiply the numbers)
ln 60 - ln 12
ln (60/12) (the - sign says to divide the numbers)
ln 5 - final answer
Answer:
0.903264
Step-by-step explanation:
Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.
Let A' = the event that A fails, B' = B fails and C'= C fails.
Probability that no circuit board fails = Prob (A'B'C')
= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent
= (1-0.03)(1-0.04)(1-0.03)
= 0.903264
Simplifying
4.5x + -7 = 20
Reorder the terms:
-7 + 4.5x = 20
Solving
-7 + 4.5x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4.5x = 20 + 7
Combine like terms: -7 + 7 = 0
0 + 4.5x = 20 + 7
4.5x = 20 + 7
Combine like terms: 20 + 7 = 27
4.5x = 27
Divide each side by '4.5'.
x = 6
Simplifying
x = 6
Answer:
15.81 = ?
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 13^2 = ?^2
81 +169 = ?^2
250 = ?^2
Taking the square root of each side
sqrt(250) =?
15.8113883= ?
To the nearest 100th
15.81 = ?
<span>54.285 rounded to a whole number is 54.
Hope this helps!!
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