Chemistry : asked on jpsaad00
 02.04.2022

Accurately measure approximately within 10% 1.00 g of sodium hydroxide

. 16

Faq

Mathematics
Step-by-step answer
P Answered by PhD
1. Representation of data.
I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit
*(a) Variables
I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).
It seems to me that arm span depends on your height rather than the other way around.
*(b) Regression equation
The calculation is easy but tedious, so I asked Excel to do it.
For the equation y = ax + b, the formulas are
a=ZyZx^2-Z-x/nZx^2-(Zx)^2
b=ny-Zx/nZx^2-(Zx)^2.
This gave the regression equation:
y = 1.0595x - 4.1524.

(c) Interpretation.
The line shows how arm span depends on height.
The slope of the line says that arm span increases about 6 % faster than height.
The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals.
The residuals appear to be evenly distributed above and below the predicted values.
A graph of all the residuals confirms this observation.
The equation usually predicts arm span to within 4 in.

(e) Predictions.
*(i) Height of person with 66 in arm span
y=1.0595x-4.1524;
66=1.0595x-4.1524;
70.1524=1.0595x;
x=70.1524/1.0595x=66 in.
A person with an arm span of 66 in should have a height of about 66 in.
*(ii) Arm span of 74 in tall person
y=1.0595x-4.1524;
=1.0595*74-4.1524;
=78.4030-4.1524;
=74 in.
A person who is 74 in tall should have an arm span of 74 in.
Mathematics
Step-by-step answer
P Answered by PhD
1. Representation of data.
I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit
*(a) Variables
I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).
It seems to me that arm span depends on your height rather than the other way around.
*(b) Regression equation
The calculation is easy but tedious, so I asked Excel to do it.
For the equation y = ax + b, the formulas are
a=ZyZx^2-Z-x/nZx^2-(Zx)^2
b=ny-Zx/nZx^2-(Zx)^2.
This gave the regression equation:
y = 1.0595x - 4.1524.

(c) Interpretation.
The line shows how arm span depends on height.
The slope of the line says that arm span increases about 6 % faster than height.
The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals.
The residuals appear to be evenly distributed above and below the predicted values.
A graph of all the residuals confirms this observation.
The equation usually predicts arm span to within 4 in.

(e) Predictions.
*(i) Height of person with 66 in arm span
y=1.0595x-4.1524;
66=1.0595x-4.1524;
70.1524=1.0595x;
x=70.1524/1.0595x=66 in.
A person with an arm span of 66 in should have a height of about 66 in.
*(ii) Arm span of 74 in tall person
y=1.0595x-4.1524;
=1.0595*74-4.1524;
=78.4030-4.1524;
=74 in.
A person who is 74 in tall should have an arm span of 74 in.
Mathematics
Step-by-step answer
P Answered by Master

P(\mu -1< \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the Shear strength of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,10)  

Where \mu and \sigma=10

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(\mu,\frac{10}{\sqrt{100}})

We are interested on this probability

P(\mu -1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\mu -1

=P(\frac{\mu -1-\mu}{\frac{10}{\sqrt{100}}}

And we can find this probability on this way:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

Mathematics
Step-by-step answer
P Answered by Master

P(\mu -1< \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the Shear strength of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,10)  

Where \mu and \sigma=10

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(\mu,\frac{10}{\sqrt{100}})

We are interested on this probability

P(\mu -1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\mu -1

=P(\frac{\mu -1-\mu}{\frac{10}{\sqrt{100}}}

And we can find this probability on this way:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

Chemistry
Step-by-step answer
P Answered by Master
Answer: 0.0045 mol
Explanation: Convert 30 ml to l: 30 mL = 0.03 L
Molarity = mol/l
mol = molarity * L
mol = 0.15 * 0.03 = 0.0045 mol
Answer: 0.0045 mol
Explanation: Convert 30 ml to l: 30 mL = 0.03 L
Molarity = mol/l
mol = molarit
Chemistry
Step-by-step answer
P Answered by PhD
Answer: chalcogens.
Explanation: Strontium is an alkaline earth metal, it always exhibits a degree of oxidation in its compounds +2.
Chalcogens are a group of 6 chemical elements (oxygen O, sulfur S, selenium se, tellurium te, polonium Po) that have an oxidation state of -2 => Chalcogens will combine with strontium in a ratio of 1:1.
Chemistry
Step-by-step answer
P Answered by Specialist
Answer: b. Fiona is correct because the diagram shows two individual simple machines.

Explanation:
A mechanical device using which we can change the direction or magnitude of force applied is known as simple machine.
For example, in the given diagram there are two individual simple machines.
The machine helps in changing the direction or magnitude of force applied by the man. As a result, it becomes easy for him to carry different things easily from one place to another.
Thus, we can conclude that the statement Fiona is correct because the diagram shows two individual simple machines, is correct.
Answer: b. Fiona is correct because the diagram shows two individual simple machines.

Explanation

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