Answer:
x ≥ 4
Step-by-step explanation:
–4(8 – 3x) ≥ 6x – 8
Distribute
-32 +12x ≥ 6x – 8
Subtract 6x from each side
-32 +12x-6x ≥ 6x-6x – 8
-32 +6x ≥ – 8
Add 32 to each side
-32 +32 +6x≥ 32– 8
6x ≥ 24
Divide by 6
6x/6 ≥ 24/6
x ≥ 4
Answer:
The width is 50 yards and the length is 141 yards.
Step-by-step explanation:
Let's call: L the length of the field and W the width of the field.
From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:
2L + 2W = 382
Because the perimeter of a rectangle is the sum of two times the length with two times the width.
Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:
L = 3W - 9
So, replacing this last equation on the first one and solving for W, we get:
2L + 2W = 382
2(3W - 9) + 2W = 382
6W -18 +2W = 382
8W - 18 = 382
8W = 382 + 18
8W = 400
W = 400/8
W = 50
Replacing W by 50 on the following equation, we get:
L = 3W - 9
L = 3(50) - 9
L = 141
So, the width of the rectangular field is 50 yards and the length is 141 yards.
Healthcare workers use it often to Treat diseases
Answer:
0.15
Step-by-step explanation:
<u>Independent Probabilities Formula</u>
P(A | B) = P(A) = P(A ∩ B) ÷ P(B)
P(A | B) = 0.25
P(A) = 0.25
P(B) = 0.6
If P(A) = P(A ∩ B) ÷ P(B)
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.25 × 0.6
P(A ∩ B) = 0.15
Answer:
- Least Value = 2
- Median = 6
- Greatest Value = 10
- Third Quartile = 8
- Range = 8 (10 - 2 = 8)
- First Quartile = 5
Step-by-step explanation:
