Answer:
.
Step-by-step explanation:
It is given that a die is rolled one time. So,
Sample space :
Number is greater than 3 :
Number is odd :
Number greater than 3 and an odd number :
It is conclude that,
The probability of getting a number greater than 3 and an odd number is
Therefore, the required probability is .
Answer:
The percent change in Nancy height is 10%
Step-by-step explanation:
Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.
We have to find the percent change in her height.
Percentage change is given by the ratio of the difference in old value and new value to the old value times 100
Mathematically written as
For the given data,
Old value = 60 inches
New value = 66 inches
Thus, the Percentage change is given as,
Simlify, we have,
Thus, The percent change in her height is 10%
Answer:
-90
Step-by-step explanation:
10+5×5×(-2)
10+25×(-2)
10+(-100)
10-100
-90
From Plato
30e-0.12t less than or equal to M
40e-0.18t less than or equal to M
Step-by-step explanation:
It is given that compound A decays at a rate of 12% per week, and compound B decays at a rate of 18% per week. Since the rates represent decay, the r-value is negative. A decay rate of 12% is represented by an r-value of -0.12, and a decay rate of 18% is represented by an r-value of -0.18.
The initial amount of compound A is 30 grams and the initial amount of compound B is 40 grams. Substitute the initial amounts of each compound and their respective decay rates into the system of inequalities.
The following system of inequalities can be used to determine when the remaining mass of the two compounds, M, will be the same, after t weeks.