Answer:
c) 6(5m2+2m+3)
Step-by-step explanation:
Given expression = 30m2 + 12m + 18
The simplified form can be calculated by taking GCF
The GCF of 30m2, 12m and 18 is = 6
Therefore, the expression becomes
(6*5m2 + 6*2m + 6*3)
=> 6(5m2+2m+3) so option c is correct
Answer:
-0.24 ; 0.71
Step-by-step explanation:
Given that :
Mean number of siblings (m) = 3.76
Standard deviation (s) = 3.18
Z score associated with 3 siblings
x = 3
Using the relation :
Zscore = (x - m) / s
Zscore = (3 - 3.76) / 3.18
Zscore = - 0.76 / 3.18
Zscore = −0.238993
Zscore = - 0.24
2.) proportion of respondents with more than 2 siblings
Using the z probability calculator :
X > 2
Obtain the standardized score :
Zscore = (x - m) / s
Zscore = (2 - 3.76) / 3.18
Zscore = - 1.76 / 3.18
Zscore = −0.5534591
Zscore = - 0.55
Using the z table :
P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912
1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71
It is a function, because they do not have a repeating number in the “Y” place (x,Y). If a set of orderd pairs had the y repeating, then it is not a function. The x can repeat, just not the y.
Answer:
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3>
Step-by-step explanation:
Given that Logan's equation is 
<h3>To simplify and find the which reason is incorrect :</h3>
Logan's solution and reasoning for solving an equation are shown below:
Step1 
Reason 1: Given
Step2 
Reason 2: Addition Property of Equality
Step3 
Reason 3: Simplify
Step4 
Reason 4: Division Property of Equality
Step5 
Reason 5: Simplify
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3><h3>
The corrected steps are</h3>
Step1 
Reason 1: Given
Step2 
Reason 2: Distributive property
Step3 
Reason 3: Simplify
Step4 
Reason 4: Addition Property of Equality
Step5 
Reason 5: Simplify
Step6 
Reason 6: Division Property of Equality
Step7 
Reason 7: Simplify
<h3 />