Answer:
Step-by-step explanation:
First we simplify:
Then we distribute:
Lastly, combine like terms:
Hope this helps!
Have a good evening! :)
Answer:
Correlation requires both variables to be quantitative.
Step-by-step explanation:
The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".
Answer:
-4.08
Step-by-step explanation:
N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5
n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17
2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24
5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
