Answer:
y=2x2−16x+24
Step-by-step explanation:
Answer:
The 95% CI for the difference of means is:

Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>
Process 1:
- Sample size: 10
- Mean: 200
- S.D.: 15
Process 2:
- Sample size: 4
- Mean: 300
- S.D.: 50
The difference of the sample means is:

The standard deviation can be estimated as:

The degrees of freedom are:

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.
Then, the confidence interval can be written as:

Answer:
- 30 adult tickets,
- 50 kids tickets
Step-by-step explanation:
<u>Given</u>
- Cost of adult ticket = $8.50
- Cost of kids ticket = $7.00
- Number of tickets = 80
- Total cost = $605
Let the adult ticket be a and kids be k
<u>We got equations</u>
- a + k = 80
- 8.5a + 7k = 605
<u>From the first equation we get</u>
<u>Substituting k in the second equation</u>
- 8.5a + 7(80 - a) = 605
- 8.5a - 7a + 560= 605
- 1.5a = 45
- a = 45/1.5
- a = 30
<u>Then finding k</u>
Answer:
44 ft
Step-by-step explanation:
We are given that;
Speed; v = 60 mph
Reaction time;t = 0.5 s
Now, we know that;
Distance = speed x time
Since time is in seconds, let's convert speed to mph to ft/s
From conversion,
1 mph = 1.46667 ft/s
So, 60 mph would give;
60 × 1.46667 ≈ 88 ft/s
Thus, distance his car travels during his reaction time is;
Distance = 88 × 0.5 = 44 ft