Answer: B. x, in the second equation
Step-by-step explanation:
The given system :
To apply the substitution method , first we need to select the best variable and a equation which is easy to simplify.
From the given system equation (2) have all the numbers which are multiples of 3.
Then we divide 3 on both sides of equation (2), we get
Therefore, the best variable to solve for and from what equation is x, in the second equation.
Answer:
5/8
Step-by-step explanation:
Freddie swam 3/8 laps yesterday
He also swam 1/4 laps today
Therefore the total lap swam can be calculated as follows
= 3/8 + 1/4
= 5/8
Hence the total lap is 5/8
Answer:
It would be 6.75%
Step-by-step explanation:
Because, if you divide 18 by 37.5%, you will get you answer (6.75%)
Answer:
(-2, 3)
Step-by-step explanation:
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
