Answer:
The mean is 
The 90% confidence interval is:
![i_{0.90}=[0.492\frac{mg}{L},0.514\frac{mg}{L}]](https://tex.z-dn.net/?f=i_%7B0.90%7D%3D%5B0.492%5Cfrac%7Bmg%7D%7BL%7D%2C0.514%5Cfrac%7Bmg%7D%7BL%7D%5D)
Explanation:
1. First organize the data:





As there are 5 data, the sample size (n) is n=5
2. Calculate the mean x:
The mean is calculated adding up all the data and divide them between the sample size.


3. Find 90% confidence interval.
The formula to find the confidence interval is:
(Eq.1)
where x is the mean, d is the standard deviation and n is the sample size.
And




4. Find the standard deviation





5. Replace values in (Eq.1):
![i_{0.90}=[0.503+/-1.645*(\frac{0.015}{2.236})]](https://tex.z-dn.net/?f=i_%7B0.90%7D%3D%5B0.503%2B%2F-1.645%2A%28%5Cfrac%7B0.015%7D%7B2.236%7D%29%5D)
For the addition:
![i_{0.90}=[0.503+1.645*(\frac{0.015}{2.236})]](https://tex.z-dn.net/?f=i_%7B0.90%7D%3D%5B0.503%2B1.645%2A%28%5Cfrac%7B0.015%7D%7B2.236%7D%29%5D)

For the subtraction:
![i_{0.90}=[0.503-1.645*(\frac{0.015}{2.236})]](https://tex.z-dn.net/?f=i_%7B0.90%7D%3D%5B0.503-1.645%2A%28%5Cfrac%7B0.015%7D%7B2.236%7D%29%5D)

The 90% confidence interval is:
![i_{0.90}=[0.492,0.514]](https://tex.z-dn.net/?f=i_%7B0.90%7D%3D%5B0.492%2C0.514%5D)
Answer:
1.878g
Explanation:
Volume = 30.0ml
Density = 0.626gcm−3
Mass = ?
Be careful in this kind of questions to check for the units. In this case one has to remember 1 mL equal 1 cm³ so density = 0.626g/ml
The relationship between all three parameters is given by the equationn below;
Mass = Density * Volume
Mass = 0.626g/ml * 30 = 1.878g
From the given equations, the combustion reaction is;
C₄H₁₂ + 7O₂ --> 4CO₂ + 6H₂O
Combustion reactions are when organic compounds react with O₂ to produce water and CO₂. From the given reactions, C₄H₁₂ is an organic compound that reacts with O₂ to produce water and CO₂.
Therefore this is the only reaction that follows the general equation for combustion.
Answer:
60km/H
Explanation:
The data were obtained from the question:
Distance = 150 km
Time = 2.5 hours
Speed =?
The speed of an object is simply the distance moved with time. It can be represented mathematically as:
Speed = Distance / Time
Speed = 150km/2.5 hours
Speed = 60km/H
The speed of the car is 60km/H
The volume of the granite piece in Cm³ is 12.2 cm³
<u><em>calculation</em></u>
volume of granite = (volume of cylinder after placing granite - volume of cylinder before placing granite
= 37.2 ml - 25.0 ml = 12.2 ml
convert ml to Cm³
that is 1 ml = 1 cm³
12.2 ml = ? cm³
<em>by cross multiplication</em>
=(12.2 ml x 1 cm³) / 1 ml = 12.2 cm³