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
Step-by-step explanation:
2x + 5 = I / 2 ×16
2x=3
x=3/2
Answer:
$994
Step-by-step explanation:
14% of 7100 = 994
Your answer will be 7,040.
<em>HOW TO SOLVE: </em>We start out with the car's value of 8,000. You see that the value of the vehicle is going to <em>depreciate, </em>or lower. It will depreciate by 12%, so we need to find 12% of 8,000.
This will you get you 960. All we need to do now is subtract 960 from 8,000, so you will be left with 7040.