1.
8 < x(7 - x)
We can now substitute the given values to see which one satisfies the inequality.
8 < 2(7 - 2)
8 < 10
A is the correct answer.
2.
D.
This lists all of the factors of 24.
Answer: Option 'a' is correct
Step-by-step explanation:
Since we have given that
Length of parallelogram =17.25 mm
Width of parallelogram =5.065 mm
As we know the formula for " Area of parallelogram"
Area of parallelogram is given by

Hence, option 'a' is correct .
Answer:
Option B. 0.71
Step-by-step explanation:
There are 200 males and 300 female employees in the company.
The percentage of its employees are given who stayed for at least 1, 2 and 3 years.
1 year 2 years 3 years
Male 0.67 0.45 0.20
Female 0.73 0.64 0.39
Number of male employees who stayed at least one year = 0.67 × 200
= 134
Number of female employees who stayed at least 1 year = 0.73 × 300
= 219
Total employees who stayed at least 1 year = 134 + 219 = 353
Total employees in the company = 200 (males) + 300 (females)
= 500 employees
Probability that an employee stayed for at least one year = 
= 0.706 ≈ 0.71
Option B 0.71 is the answer.
Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.
Answer:
see below
Step-by-step explanation:
-2x-5y=30
To find the x intercept, set y =0 and solve for x
-2x-5*0=30
-2x = 30
Divide each side by -2
-2x/-2 = 30/-2
x =-15
To find the y intercept, set x =0 and solve for y
-2*0-5y=30
-5y = 30
Divide each side by -5
-5y/-5 = 30/-5
y = -6