Answer:
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Step-by-step explanation:
100 = 5 * 10^(0.3t), solve for t
Divide both sides by 5:
20 =10^(0.3t)
Take the log of both sides:
0.3t =log(20)
Divide both sides by 0.3:
Multiply the RHS by 10 / 10
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:
(Angle 1) + (Angle 2) = 90
Substitute any known values into the equation:
62.9 + (A2) = 90
Subtract 62.9 from both sides if the equation:
A2 = 27.1
The measure of the complementary angle (A2) is 27.1 degrees.
I hope this helps!
The midpoint of a line can be found using either a compass and straightedge <span>construction or a straightedge and tracing paper construction.
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Answer:
Step-by-step explanation:
The mean of the gas mileages is 317÷16=19.8125
317 is the sum total of all the figures and 16 is the number of figures in the distribution
Standard deviation is the square root of the variance and the variance is the mean of all squared deviations
The 16 squared deviations are
7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382
56.4382÷16 = 3.5274
This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)
(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean
2×1.88=3.76
19.8125-3.76 = 16.05
19.8125+3.76= 23.57
The gas mileages are between 16.05 and 23.57
(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%
(D) the empirical rule gives the more accurate prediction
Answer:
The answer is 8.80
Step-by-step explanation:
the hundredth place is 8.7<u>9</u>8.
the 8 makes the nine go up, carry the 1 and is makes the 8.<u>7</u> an 8.
Turning your 8.7 to a 8.8
