Example -
4x2<span> + 6x + 5</span>
This polynomial has three terms. The first one is 4x2, the second is 6x, and the third is 5
The exponent of the first term is 2
The exponent of the second term is 1 because 6x = 6x1
The exponent of the third term is 0 because 5 = 5x0
What? 5x0<span> = 5?</span>
Well, anything with an exponent of 0 is always equal to 1
So, 5x0<span> = 5 × x</span>0<span> = 5 × 1 = 5</span>
Since the highest exponent is 2, the degree of 4x2<span> + 6x + 5 is 2</span>
Answer:
Inference for Regression
Step-by-step explanation:
Let us try to understand the difference between each of them.
1) Two sample t- test : the following assumptions must be used while applying the t- tests.
- The samples of n observations X₁,X₂,X₃,...........X n is selected randomly.
- The population from which the small sample is drawn is normal.This is essential for X` and s , the two components of the statistics t, to be independent. it has , however been shown that slight departures from normality do not seriously effect the tests.
- <em>In case of two small samples both the samples are selected randomly , both the populations are normal and both the populations have equal variances.</em>
2) Chi - squared Test for independence:
The two attributes A and B are said to be independent if the actual frequency equals the expected one , that is, if (AB) = (A)(B)/ N
Similarly α and β will be independent is (αβ) = ( α)( β)/ N and so on.
3) Inference for Regression
When both X and Y are observed at random i.e the sample values are from a bi variate population there are two regression equations , each obtained by choosing that variable as dependent whose average value is to be estimated and treating the other variable as independent .
4) A N O V A
The various sources of variation , degrees of freedom , the sum of squares and the mean squares associated with the sources are generally shown in a table called analysis of variance table or A N O V A table.
5) Matched pairs
It can be used when the experiment has only two events or possibilities and each variable can be grouped in either of the two conditions. Example people having C O V I D 19 and not having C O V I D 19.
Answer:
£123,000
Step-by-step explanation:
Their combined income is ...
£18,500 +22,500 = £41,000
They can borrow 3 times this amount, or ...
3 × £41,000 = £123,000
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<em>Comment on this transaction</em>
The required deposit is 5% of 130,000 = 6,500, which is more than their savings. After this down payment is made, the remaining value is £123,500, which exceeds their borrowing power. It appears that Emma and Max need to find a house with a lower price.
You can add the two equations together, this way you get:
5x = 25
You divide by 5:
x = 5
Now you just have to use this number in one of the original equations to get y:
x - 7y = -16
5 - 7y = -16 /subtract 5
-7y = -21 /divide by 7
-y = -3 /multiply with -1
y = 3
