Answer:
-3 = x
Step-by-step explanation:
4 (2x + 3) = 4x + 24 + 6x – 6
8x + 12 = 10x + 18
12 = 2x + 18
-6 = 2x
-3 = x
Answer:

Step-by-step explanation:
Given:
The function
passes through the point
.
For function
to transform to
, the graph has to translate 2 units to left.
Therefore, the point
will have to move 2 units to left.
Moving 2 units left means the
value of the point has to reduce by 2 units.
The
value of the point
is 2.
So, new
value after translation will be
.
Therefore, the graph of
must pass through
.
Perimeter = 2(length + width)
16.8 = 2(3.6 + width)
3.6 + width = 16.8/2 = 8.4
width = 8.4 - 3.6 = 4.8 in
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.