Answer:
thank you!
Step-by-step explanation:
have a good day! :)
Answer:
{58.02007 , 61.97993]
Step-by-step explanation:
Data are given in the question
Sample of cars = n = 121
Average speed = sample mean = 60
Standard deviation = sd = 11
And we assume
95% confidence t-score = 1.97993
Therefore
Confidence interval is
![= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }]](https://tex.z-dn.net/?f=%3D%20%5B60%20-%20%20%5Cfrac%7B1.97993%20%5Ctimes%2011%7D%7B%5Csqrt%7B121%7D%20%7D%5D%20%2C%20%20%5B60%20%2B%20%20%5Cfrac%7B1.97993%20%5Ctimes%2011%7D%7B%5Csqrt%7B121%7D%20%7D%5D)
= {58.02007 , 61.97993]
Basically we applied the above formula to determine the confidence interval
Answer:
p=8 meters
Step-by-step explanation:
3/4=6/p
3p=24
p=8
Answer:
There are 10 two point questions and 16 five point questions.
Step-by-step explanation:
- x = the number of 2 points questions
- y = the number of 5 points questions
- x + y = 26
- 2x + 5y = 100
- x = 10 two points questions
- y = 16 five points questions
In constructing the equation, you need to know the following:
1. What don't we know? How many minutes you must talk to have the same cost for both calling plans. So, let x be the number of minutes.
2. What do we know? Plan 1 charges $17.50 per month plus $0.17 per minute used and Plan 2 charges $32 per month plus $0.07 per minute used.
So the equation must look like this: 17.50 + .17x = 32 + 0.07x
Solving the equation:
1. Multiply both sides by 100
(100) 17.5 + .17x = 32 + 0.07x (100)
1750 + 17x = 3200 + 7x
2. Subtract 1750 from both sides
1750 + 17x - 1750 = 3200 + 7x - 1750
17x = 7x +1450
3. Subtract 7x from both sudes
17x - 7x = 7x + 1450 - 7x
10x = 1450
4. Divide both sides by 100
10x / 10 = 1450/10
x= 145 minutes
145 minutes is the number of minutes you must talk to have the same cost for both calling plans.