Answer:
- 18x + 15y ≤ 300
- x ≥ 0; y ≥ 6
Step-by-step explanation:
Variables are defined in the problem statement.
18x +15y ≤ 300 . . . . total budget
y ≥ 6 . . . . . . . . . . . . minimum number of annuals
x ≥ 0 . . . . . number of perennials cannot be negative
This system of inequalities describes the situation.
Step-by-step explanation:
let the number be x
and according to question,
six + 2 times a number = 2x + 6
26 + 6 times a number = 6x + 26
→ 2x + 6 = 6x + 26
→ -6x + 2x = 26 - 6
→ -4x = 20
→ x = 20/4 = 5
→ x = 5
therefore, the number is 5.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
Answer:
190
Step-by-step explanation:
Data provided in the question:
Confidence level = 99%
Therefore,
α = 1% = 0.01
[ from standard normal table ]
z-value for 
= 2.58
Margin of error, E = $0.06
Standard deviation, σ = $0.32
Now,
n = 
Here,
n is the sample size (or the minimum number of gas stations )
on substituting the respective values, we get
=
= 
= 13.76²
= 189.3376 ≈ 190
Hence,
minimum number of gas stations that she should include in her sample is 190
Answer:
25
Step-by-step explanation:
Okay we know the length is 5 inches if this is a square then the width is 5 inches as well. This is because 5 x 5 = 25
