Answer:
3x + 2y = 29
5x + 2y = 35
Step-by-step explanation:
Let
x = cost of one-inch binders
y = cost of two-inch binders
Rasheed:
3x + 2y = 29 (1)
Matar:
5x + 2y = 35 (2)
3x + 2y = 29 (1)
5x + 2y = 35 (2)
Using elimination method, subtract (1) from (2)
5x - 3x = 35 - 29
2x = 6
x = 6/2
x = 3
Substitute x = 3 into (1)
3x + 2y = 29 (1)
3(3) + 2y = 29
9 + 2y = 29
2y = 29 - 9
2y = 20
y = 20/2
y = 10
Answer:
4(9a-4)
Step-by-step explanation:
Answer: 0.000274 dragon fly per day.
Step-by-step explanation:
First convert the 10 years into days:
10 × 365 = 3650 days.
This means that one dragon fly dies every 3650 days.
Now, to find how many that dies in a day:
1 ÷ 3650 = 0.000274, corrected to three significant figure.
Looks more like a probability question.
Answer:
- 0.196 < μ < +0.196
Step-by-step explanation:
n = 100
σ = 1
X bar (x⁻) = 0
1 - ∝ =95%
μ = ?
= X bar (x⁻) ± Z ∝/₂ * σ/√n
Finding ∝:
To find ∝, we will convert the confidence interval i.e. 95% into decimal by dividing it with 100 and subtracting it from 1.
1 - ∝ = 95%
1 - ∝ = 95/100
1 - ∝ = 0.95
∝ = 1 - 0.95
∝ = 0.05 -----(1)
We have to calculate ∝/2 so dividing both sides of (1) with 2
∝/2 = 0.05/2
∝/2 = 0.025
We will find the value of 0.025 in z-table. The value is:
Z ∝/2 = 1.96
For further calculations, we will use the value of Z∝/2.
Putting all values in the formula.
= 0 ± 1.96 * 1 / √100
We can also write this in the following form:
0 - 1.96/ √100 < μ < 0 + 1.96 / √100
- 1.96 / 10 < μ < 1.96 / 10 ∴ √100 = 10
- 0.196 < μ < + 0.196
1,120
2,60
3,40
4,30
5,24
6,20
8,15
10,12