Answer:
12
Step-by-step explanation:
3 times X is equal to 36.
X is the number were going to solve for, and since you need 3 groups of 12 to solve for 36, it would be 12.
1) Determine the GCF of the numbers 96 and 88
=> Decompose each number in their prime numbers:
=> 96 = (2^5)(3)
=> 88 = (2^3) (11)
=> GCF of 96 and 88 = 2^3 = 8
2) Determine the GCF of the letters, x^2 and x
=> x
3) Conclude the GCF of the terms is 8x
4) Now you can factor the expression by dividing each term by the GCF, 8x:
96 x^2 / (8x) = 12x
88x / (8x) = 11
So, the factored form is (8x) (12x + 11)
Answer: Option C is the correct answer.
Step-by-step explanation:
Triangle STU is similar to triangle SVW. This means that the ratio of the length of each side of ∆STU to the length of the corresponding side of ∆ SVW is constant. Therefore,
ST/SV = TU/VW = SU/SW
SV = 12 + 18 = 30 in
Therefore,
12/30 = TU/40
Cross multiplying, it becomes
TU × 30 = 12 × 40
30TU = 480
Dividing the left hand side and the right hand side of the equation by 30, it becomes
30TU/30 = 480/30
TU = 16
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.
Answer:
THERE have been this year a number of apparently contradictory remarks on the ... (in black), since they exhibit respectively the largest and smallest ...
Step-by-step explanation:
