Given :
Marcus bought a booklet of tickets to use at the amusement park.
He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.
To Find :
Marcus says he used 10% of the tickets in the batting cage.
Solution :
We know sum of all the percentage should be equal to 100.
So,
( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100
Let, % of ticket spend on batting cage is x.
50 + 13 + x = 100
x = 100 - ( 50 + 13 )
x = 37%
So, Marcus used 37% in batting cage.
Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.
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:
Step-by-step explanation:
The answer is c