Answer: 424.115
Step-by-step explanation:
(Pi)6^2(5) =565.49
3/4 = 424.115
<span>The value of z is 0.8770. This answer was derived from information in the question, which states that the value of z is 0.8770. Granted, I don't understand what is meant by "cumulative standardized normal distribution." I only passed statistics because the professor felt sorry for me.</span>
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
Given that <span>Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used drone he sells, where x is the original value of the drone and that t</span><span>he function g(x) = 1.08x is used to determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.
</span> The <span>function to determine the total amount a customer pays for a used drone at Jim’s store including 8% sales tax is given by
f(x) + g(x) = 0.7 + 23 + 1.08x = 1.78x + 23.
</span>
