Answer:
The argument is true by the law of syllogism
Explanation:
Law of syllogism states that for a valid argument form which is a syllogism having a conditional statement for one or both of its premises.
Premises:
1. If p , then q
2. if q, then r
Conclusion: if p, then r.
Let p be the statement "two angles form a linear pair",
let q be the statement "they are supplementary" and
let r be the statement "the sum of their measures is 180°"
If p, then q
if q, then r
then by the Law of syllogism statement , conclusion if q then r is true,
i,e If two angles form a linear pair, then the sum of their measures is 
.
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
Answer:
ΔABC ~ ΔDEC
Step-by-step explanation:
Given : DE║AB
Statements Reasons
1). DE║AB 1). Given
2). ∠CDE ≅ ∠CAB 2). Corresponding angles
[Since DE║AB and AC is the transverse]
3). ∠CED ≅ ∠CBA 3). Corresponding angles
[Since DE║AB and BC is the transverse]
4). ΔABC ~ ΔDEC 4). By AA property of similarity
Hence ΔABC is similar to ΔDEC.
Answer:
sorry I'm not the best with math and sorry if I just waisted your time... :)
60*5%=60*5/100=300/100=3
So the answer is 3
