if log 2 = ( 0.3010 ), Log 3 = ( 0.4771 ) and Log 5 = ( 0.6990 ) then find the value of the following: Log 24... The answer is (
1 answer:
Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log since
is still 8 , so the expression becomes
Log + Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801
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Answer:
b. 58%
Step-by-step explanation:
Calculate the area of the entire rectangle using the formula A = lw.
The lowercase "L" is for length.
"w" is for width.
The lighter square is 10 units long by 5 inches wide.
A = lw
A = (10 in)(5 in) Multiply
A = 50 in²
Calculate the area for the shaded rectangle, 7 inches by 3 inches.
A = lw
A = (7 in)(3 in) Multiply
A = 21 in²
Calculate the area for the non-shaded region by subtracting the shaded area from the total area.
50 in² - 21 in² = 29 in²
The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.
Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.
29/50 = 0.58
0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.
0.58 = 58%
Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.
