What divisor is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. Ther
2 answers:
One of the ways of dividing polynomials is by synthetic division
The divisor of the synthetic division is x + 5
<h3>How to determine the divisor of the division</h3>From the question, we understand that:
Entry -5 is on the outside to the left of the shape
The entry represents the zero of the divisor.
Next, we set this entry to the variable (assume the variable is x)
So, we have:
Add 5 to both sides
Hence, the divisor of the synthetic division is x + 5
Read more about synthetic division at:
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Answer:
y-determinant = 2
Step-by-step explanation:
Given the following system of equation:
- x + 2y = 5
- x - 3y = 7
Let's represent it using a matrix:
The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:
y-determinant = (1)(7) - (5)(1) = 2.
Therefore, the y-determinant = 2
Answer:
If we compare the the p value with the significance level provided , we see that
, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.
Step-by-step explanation:
Previous concepts
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation :
x=test value 2017 , y = test value 2019
x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6
y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8
Solution to the problem
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017
The first step is calculate the difference and we obtain this:
d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
If we compare the the p value with the significance level provided , we see that
, so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.
Answer: Rs 25,000
Step-by-step explanation:
Given
Retailer sold an electric iron to a customer at a loss of 10%
Suppose the Cost price of iron is
So, selling price is
This price must be equal to + VAT
Thus, the cost price is