Ln20+ln5=2ln x
ln(20*5) = ln x^2
ln 100 = ln x^2
100 = x^2
x = 10 second option
Let X(t)=the position function with respect to time, t.
We're given:
X(0)=12 (from graph)
v(0)=0
X(2.5)=7
There is enough information to construct X(t).
In general,
X(t)=kt^2+v(0)(t)+x0
where initial velocity=v(0)=velocity at time 0 = 0 (given)
x0=initial position at time 0 = 12 (from graph)
Substituting values, the position equation is
X(t)=kt^2+12
Substituting given value X(2.5)=7 => 7=k(2.5^2) + 12
Solve for k to get k=(12-7)/6.25 = -4/5
The position equation now becomes
X(t)=-4t^2/5+12
For t=25,
X(25)=-4(25^2)/5+12=-500+12 = 488 m
Answer:
Null hypothesis:
Alternative hypothesis:

And the best answer for this case is:
C. p-value
Step-by-step explanation:
Data given and notation
n represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion i 0.72 or no.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
For this case the only probability that can be calculated from the statistic calculated is the p value given by:

And the best answer for this case is:
C. p-value
Yes -14 is greater than -17
??? do u have any answer choices