Area = 1/2 * base * height
6 = 1/2 * base * 3
lengths of the base = 6 / (3*1/2) = 6 / 1.5 = 4 inches answer
(-2,-5)
The first goal with equations like these is to get one of the variables to go away. You can do that by adding/subtracting one equation from the other. Then you solve for the one variable. Then you plug that answer into one of the original equations and solve.
Answer:
1/2
Step-by-step explanation:
Given that:
3/4 of pizza has pepperoni
2/3 of the pizza with pepperoni has green pepper ;
The fraction of the whole pizza that has both pepperoni and green pepper ;
Fraction with pepperoni = 3/4
Fraction of whole with green pepper and pepperoni : 2/3 of 3/4 = 2/3 * 3/4 = (2*3) / (3*4) = 6/12 = 1/2
Answer:
Hypothesis
Null hypothesis:
Alternative hypothesis:
Statistic
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5
Step-by-step explanation:
Information given
represent the sample mean
represent the sample deviation
sample size
represent the value to test
t would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true mean is equal to 3.5, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Statistic
The statistic would be given by:
(1)
Replacing we got:
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5
Answer:
c. is computed by summing all the data values and dividing the sum by the number of items.
Step-by-step explanation:
Mean is said to be the average of the entire data set. Even in case when data set is too large we choose to calculate the mean of sample. In that case, sum up all the data of sample and divide by the number of items.
For example:
There are 50 students in the class, but some students are not present, some are not in the class, to collect information from all students is not feasible, in that case.
The data of some random 10 students is taken, example to check the proficiency in mathematics their scores in last class test are summed up, and divided by number of students considered.
That is sum of marks obtained by 10 students divided by 10, will provide the mean.