Answer:
5. 43 / 6
6. 8.027778
2. -0.167
4. 1.5
Step-by-step explanation:
5. Conversion a mixed number to a improper fraction: 9 2/3 = 9 · 3 + 2 /3 = 29/3
Conversion a mixed number to a improper fraction: 2 1/2 = 2 · 2 + 1 /2 = 5/2
Subtract: 29/3 - 5/2 = 29 · 2 / 3 · 2 - 5 · 3 / 2 · 3 = 58 / 6 - 15 / 6 = 58 - 15 / 6 = 43 / 6
6. 2 4/9 + 5 7/12 = 289 / 36 = 81 / 36 = 8.027778
2. 3/4 - 11/12 = -1 / 6 =-0.1666667
4. 1 9/10 - 2/5 = 3 / 2 = 11 / 2 = 1.5
Answer:
z=-60
Step-by-step explanation:
1/6z=-10
z=-10×6
z=-60
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
Age of Eva = 15 Years
Age of Carrie = 45 Years
Step-by-step explanation:
Let the age of Eva be X years
Given that Carrie is 3 times as old as Eva
Therefore age of Carrie = 3X YEARS.
__________________________________________________________
After 15 years
Age of Eva = X + 15
Age of Carrie = 3X +15
Given that Carrie is twice as old as Eva
so according to this condition
age of Carrie = 2*Age of Eva
Substituting the age of Eva and Carrie
3X +15 = 2*(X + 15 )
=> 3X +15 = 2X +30
=> 3X - 2X = 30 - 15
=> X = 15
Since X was assumed age of Eva so age of Eva is 15 years
age of Carrie = 3X years = 3*15 = 45 years.
I think the answer would be <span>2(x + 1)(x + 2)(x - 3).
Hope this helped! :) </span>
