The average rate of change of g(x) between x = 4 and x = 7 is . Which statement must be true?
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Answer that’s the answer I think u can use a calculator 7/10
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 expected amount earned by a waitress per evening is $95.83.
Step-by-step explanation:
At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.
There are 6 waitresses working at the local restaurant.
The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.
This implies that a waitress can be assigned any of the six rooms with probability,
.
The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.
So, the distribution of tips earned is as follows:
X: $200 $75 $75 $75 $75 $75
P (X):

The expected value of a random variable is given by:

Compute the expected amount earned by a waitress per evening as follows:


Thus, the expected amount earned by a waitress per evening is $95.83.
Answer:
Present-day cells evolved from a common prokaryotic ancestor along three lines of descent, giving rise to archaebacteria, eubacteria, and eukaryotes.
Changed the composition of the oceans. Most of the iron was precipitated out by early life.
Changed the composition of the atmosphere. Oxygen became available in abundance.