Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
Answer:
Decreased by 20%.
16 lbs is 80% of 20 lbs.
Step-by-step explanation:
y × 20 = 16 × 100
20y = 1600
20y ÷ 20 = 1600 ÷ 20
y = 80
100% - 80% = 20%
Answer:
1/7
Step-by-step explanation:
The probability of picking an even number is 3/7.
Without putting the first card back, the probability of picking an even number again is 2/6.
Answer: 5/18
Step-by-step explanation:
The sample space when two 6- sided dice are rolled is given below:
(+) 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
The total sample space is 36.
Sum greater than 8 are : {9,10,11,12}
which are 10 in number:
Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :
number of the sum greater than 8 / Total sample space
That is ;
P(sum greater than 8) = 10/36
P(sum greater than 8) = 5/18
Answer:
3x + 2y - 5 = 0
Step-by-step explanation:
Standard form: ax + by + c = 0
2y = -3x + 5
+3x - 5 to both sides
2y + 3x - 5 = 0
Change order.
3x + 2y - 5 = 0