Answer:
t48 = 1.7500
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=test value before , y = test value after
The system of hypothesis for this case are:
Null hypothesis: 
Alternative hypothesis: 
We have the mean difference
And the sample standard deviation for the differences, is:
Now we can calculate the statistic given by :
Since we don't have the population standard deviaition we need to use the t distribution and we can calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
If we use a significance level of 5% we have that 
, and on this case we reject the null hypothesis
. And we don't have enough evidence to conclude that the difference of means it's higher than 50 points.
Find the ratio of the known sides 10 and 12
12/10 = 1.2
The larger kite is 1.2 times the size of the smaller kite.
Multiply 7 by 1.2:
x - 7 * 1.2
x = 8.4
Answer:
4q
We can write the verbal expression of this algebraic or mathematical expression as simple as four times a number. Since the unknown variable here is “q” and it is not specified it doesn’t mean a specific letter q but just a representation of an absent and unknown value of a number. Hence, these variables have a automated value of 1 hence, q = 1 but unless the value of this variable is changed in finding or filling this unknown it remains with the constant of 1.
Step-by-step explanation:
One way to check if 102 ÷ 6 = 17 is by focusing on the left side of the equation.
102 ÷ 6 can be converted into 
can be simplified, lets start by dividing the numerator and denominator by 2.
\frac{102/2}{6/2} = \frac{51}{3}
= 
can be rewritten as 17.
1. 10x
2. 18g
3. 6m
4. 4p
5. -5y
6. 9w
7. c^2+3d
8. 3a^2+2b^2+6a
9. 3x^2+x
10. 16x-y+3
11. 68x^2-34x-1
12. 32
13. 32
14. -9
15. 3m+3n
16. 6x-6y
17. 15f+5
