In this question, let's add those polynomials
(5x-6) + (2x-6)
5x -6 +2x -6 <em>Combine like terms</em>
<em>5x +2x -6-6</em>
7x -12
Since this is not an equation, no further step can be done.
Answer:
The correct answer is B) 102
Step-by-step explanation:
$75= Cassidy's goal
c= number of cupcakes
a= $6 already raised
EQUATION:
75<$3c + a
substitute $6 in for a
75< $3c + 6
subtract 6 from both sides
69<3c
divide both sides by 3
23<c
Cassidy needs to sell at least 23 cupcakes to reach her goal of $75.
Answer:
FALSE: Cassidy will need to sell any number of cupcakes greater than 12 to reach her goal.
TRUE: Cassidy will need to sell any number of cupcakes greater than 23 to reach her goal.
Hope this helps! :)
Answer:
2.31
×10
^−
2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
C) H0:μd=0 and Ha:μd≠
0
Null hypothesis:
Alternative hypothesis: 
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=value for the first shop , y = value for the second shop
The system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis: 
Or equivalently :
Null hypothesis:
Alternative hypothesis: 
Since we define the difference
and we obtain this:
The second step is calculate the mean difference
The third step would be calculate the standard deviation for the differences, and we got:
The 4 step is calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a two tailed test the p value is given by:
C) H0:μd=0 and Ha:μd≠
0