Answer:
150 tickets
Step-by-step explanation:
Given: Tickets sold at four different gates
Gate B sold 26 % tickets
Tickets sold at Gate B = 39
Let take x as total number of tickets sold at all four gates.
Now, using the value of gate B to find total number of tickets
∴
⇒
Next, cross multiply both side
⇒
∴ Total tickets sold at all the four gates is 150
Answer:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
Solution to the problem
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degreed of freedom. df=n-2=10-2=8
For this case the null hypothesis represent that we don't have association betwen the dependent variable Y and the independent variable X and that means r=0. So then the best option for this case is:
The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero
Answer:
We know that there are four types of rigid transformations namely Dilation, Translation, Reflection and Rotation.
Now, Dilation is the transformation that changes the size of the figure by some scale factor i.e. it is the transformation that increases or decreases the size of the given figure.
We can see in the first figure that the triangle ABC is dilated ( increased by some scale factor ) to form A'B'C'.
Further, Translation is the transformation that slides the figure horizontally or vertically to a fixed distance.
The second figure shows the change of position of the solid ABCD to the position of A'B'C'D'.
Now, Reflection is the transformation that flips the image about a straight line.
During reflection, the size of the figure remains same but the it goes to the opposite side of the line.
We can see from the third figure the reflection of ABC about the y-axis to form A'B'C'.
Finally, Rotation is the transformation that turns the image about a fixed point called the center of rotation to a certain degree.
So, in the last figure, we see that the image A is rotated about the center of rotation by 120° to form A'.
Hence, we see that Dilation is different from the other transformations.
