Step-by-step explanation:
) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right
b
She has totally 10+5+3=18 marbles, so the probability is 10/18=5/9. The complement is (9-5)/9=4/9.
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Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
so, in our case, the slope is 2, the y-intercept is -3.
the y-intercept gives you the first point : (0, -3)
using the slope of 2 we know that for every unit x increases, y increases by 2.
so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1
that gives us (2, 1)
mark both points on the chart and then draw a straight line through both points.
20 ft in 1 sec
60 x 20ft in 1 min
60 x 60 x 20ft in 1 hr
72000 ft in 1 hr
5280ft = 1 mile
speed = 72000/5280 mph
The two nominal variables are related.
The following table summarises the data from a survey on the ownership of iPods among families with different levels of income.
Ownership C1 C2 C3
No 40 32 48
Yes 30 48 52
The first thing to do in order to determine if they are related or not is to state our null and alternative hypothesis
Null hypothesis
Alternative hypothesis
Using the Chi-square test statistics which can be expressed by using the formula

Ownership C1 C2 C3 Total
No 40 32 48 120
Yes 30 48 52 130
Total 70 80 100 250
The expected values are calculated as:













∴ Using the Chi-square test statistics, we have:





The degree of freedom df = ((r - 1) × (c - 1))
= (3 - 1) (2 -1 )
= 2 × 1
= 2
∴
Assuming the level of significance = 5%
The p-value of the Chi-square test statistics at df of 2 is:
= 
Therefore, we can conclude that since the p-value (0.111) is greater than the level of significance (0.05), we fail to reject the null hypothesis.
Hence, the two nominal variables are related.
Learn more about Chi-square test statistics here:
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