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Answer:
74
Step-by-step explanation:
4(2) raise to power 4 - 2(7) raise to power 2 +40
4(16) - 2(49) +40
64-98+40
64- 138
74
Answer:
Yes
Step-by-step explanation:
Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows
Null hypothesis
=p2-p1 ≤0
Alternative hypothesis
=p2-p1>0
Sample proportion of women, p1=74/200=0.37
Sample proportion of men is p2=104/200=0.52
Level of significance is 0.01
Pooled proportion=
Test statistic
p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0
Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise
Answer: The proofs are given below.
Step-by-step explanation: We are given to prove that the following statements are tautologies using truth table :
(a) ¬r ∨ (¬r → p) b. ¬(p → q) → ¬q
We know that a statement is a TAUTOLOGY is its value is always TRUE.
(a) The truth table is as follows :
r p ¬r ¬r→p ¬r ∨ (¬r → p)
T T F T T
T F F T T
F T T T T
F F T F T
So, the statement (a) is a tautology.
(b) The truth table is as follows :
p q ¬q p→q ¬(p→q) ¬(p→q)→q
T T F T F T
T F T F T T
F T F T F T
F F T T F T
So, the statement (B) is a tautology.
Hence proved.
Answer:
0.35
Step-by-step explanation:
you mutiply 50 times 0.7%
