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2 years ago

I need help on this

Mathematics

2 answers:

sveta [45]2 years ago

6 0

Answer:

Step-by-step explanation:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The graph represents the relation, but not a function.

This is relation, because it defines the rule for each some such, that the ordered pair (x,y) lies on the graph.

This is not a function, because for all input values of x (excluding x=3) we can find two different output values of y.

oksian1 [2.3K]2 years ago

3 0

Answer:

Step-by-step explanation:

Hope this helps ya'll

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Shards of clay vessels were put together to reconstruct rim diameters of the original ceramic vessels found at the Wind Mountain

Otrada [13]

Answer:

a) In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)^2}{n-1}}$ (3)

The mean calculated for this case is

The sample deviation calculated $s=3.46 \approx 3.5$

b) $15.8-1.383\frac{3.5}{\sqrt{10}}=14.27$

$15.8+1.383\frac{3.5}{\sqrt{10}}=17.33$

So on this case the 80% confidence interval would be given by (14.27;17.33)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)^2}{n-1}}$ (3)

The mean calculated for this case is

The sample deviation calculated $s=3.46 \approx 3.5$

Part b

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.1,9)".And we see that $t_{\alpha/2}=1.383$

Now we have everything in order to replace into formula (1):

$15.8-1.383\frac{3.5}{\sqrt{10}}=14.27$

$15.8+1.383\frac{3.5}{\sqrt{10}}=17.33$

So on this case the 80% confidence interval would be given by (14.27;17.33)

6 0

3 years ago

9x + 27 = –72 what is x

Brilliant_brown [7]

9x + 27 = -72
   - 27 = - 27
9x  = - 99
9x/9 = -99/9
  x = -11

5 0

2 years ago

Find each angle measure to the nearest degree.<br> 15) tan C = 0.1405

Ivanshal [37]

Answer:

$C=8^o$

Step-by-step explanation:

To find the angle C given the equation $tan(C)=0.1405$ , use the "arctan" function [which is the inverse function of tangent] on both sides of the equation as shown below: