Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x min
2 answers:
We have been given an equation . We are asked to choose the equations that have same value of x.
Let us solve our given problem.
Therefore, option C is the correct choice.
Now we will factor out 3 from above equation as:
Therefore, option D is correct choice as well.
Let us solve for x.
Therefore, last option is correct as well.
You might be interested in
Answer:
Option 3 is correct.
The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.
Step-by-step explanation:
Before anything else, we first give the null and alternative hypothesis for this question.
Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.
H0: µ1 = µ2
And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.
Ha: μ1 > μ2
The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.
The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.
When the significance level for a test isn't provided, the convention is usually to use 5% significance.
Interpretation of p-value
When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.
So, for this question, significance level = 0.05
p-value = 0.4351
0.4351 > 0.05
Hence,
p-value > significance level
This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.
Hope this Helps!!!
Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.