Answer:
Sara is twenty because 32+8=40 and 40/2=20 Glad to be of your help!
Step-by-step explanation:
<3
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.
5x - 8y + 104 = 0 is a linear equation passing through (-8 , 8) and parallel to the line whose equation is 5x - 8y - 7 = 0.
First, for two equations of line to be parallel with each other, their slope must be equal.
Transforming the given equation into slope-intercept form, y = mx + b:
5x - 8y - 7 = 0
8y = 5x - 7
y = 5/8 x - 7/8
m = 5/8
Hence, the slope of our equation should also be 5/8.
Using the again the slope intercept form, solve for b.
y = mx + b
where m = 5/8, x = -8 and y = 8
8 = 5/8 (-8) + b
8 = -5 + b
b = 13
With m= 5/8 and y-intercept, b = 13, the equation of our line is
y = mx + b
y = 5/8 x + 13
Multiplying both sides by 8,
8y = 5x + 104
5x - 8y + 104 = 0
To know more about equation of line, brainly.com/question/13763238.
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Claim: The difference between two rational numbers always is a rational number
Proof: You have a/b - c/d with a,b,c,d being integers and b,d not equal to 0.
Then:
a/b - c/d ----> ad/bd - bc/bd -----> (ad - bc)/bd
Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0 since b and d were not equal to 0. Thus a/b - c/d is a rational number.
Your answer is A!
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