Answer:
2
Step-by-step explanation:
<u>Given AP where:</u>
<u>To find</u>
<u>Since</u>
- a₄ = a₁ + 3d
- a₂ = a₁ + d
- a₆ = a₁ + 5d
<u>Initial equations will change as:</u>
- a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
- a₁ + 5d = 7 ⇒ a₁ = 7 - 5d
<u>Comparing the above:</u>
- d + 1 = 7 - 5d
- 6d = 6
- d = 1
<u>Then:</u>
- a₁ = d + 1 = 1 + 1 = 2
- a₁ = 2
The first term is 2
Answer:
<u>The equations for each function:</u>
- A(t) = 60 - 6t
- B(t) = 42 - 3t
<em>The lines plotted, see attached</em>
<u>The point at which both the snowmen have same height:</u>
- 60 - 6t = 42 - 3t
- 6t - 3t = 60 - 42
- 3t = 18
- t = 6
<u>The required interval is </u>
I believe the answer is -1
Answer:
0.0433
Step-by-step explanation:
Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.
Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:
1 - 0.9567 = 0.0433
Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%
Answer:
3:10
Step-by-step explanation:
1. Find the total number of students by doing
14 + 6= 20
2. Now make your ratio
6:20
3. To make it in simplest form, divide both sides by 2
6 divided by 2 is 3
20 divided by 2 is 10
4. Your answer is
3:10