Let's break down all the information we receive from the question.
One pair of shoes= three times as much as a scarf
One pair of shoes and one scarf= $32
We need to make an equation where 3s= pair of shoes and s=scarf. We then need to put one pair of shoes + one scarf = 32.
3s+s=32
Now add.
4s=32
You could use 4s=32 (or 32÷4=s).
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point
and slope 'm' is given by:

Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : 

Since, the line is parallel to the line 
So, 


So, slope of the line 'm' is
.
Therefore, the equation of the line is:




Therefore,
is the required equation of the line.
Step-by-step explanation:
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Answer:
Undefined
<em>Step </em><em>by</em><em> step</em><em> </em><em>explaination:</em>
<em> </em>
by order of operations we know that we multiply first;
so, 0x-(7*9)=0
1) Multiply the ones in brackets first:
0x-63=0
2) To make X the subject perform the opposite operation:
0x-64+63=0+63
0x=63
3) Divide 0 on both sides;
0x/0= 63/0
therefore; <u>x is undefined</u>
Answer:
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
-1. 34
0.1837
Step-by-step explanation:
Full time :
n1 = 125
x1 = 2.7386
s1 = 0.65342
Part time :
n2 = 88
x2 = 2.8439
s2 = 0.49241
H0 : μ1 - μ2 = 0
H1 : μ1 - μ2 ≠ 0
Test statistic :
The test statistic :
(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]
(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]
−0.1053 / sqrt(0.0034156615712 + 0.0027553)
-0.1053 /0.0785554
= - 1.34
Test statistic = - 1.34
The Pvalue :
Using df = smaller n - 1 = 88 - 1 = 87
Pvalue from test statistic score ;
Pvalue = 0.1837
Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.
At α = 0.01 ; the result is insignificant