Answer:
The answer is
<h2>Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
The midpoint is
<h3>We have the final answer as
<h3>Hope this helps you
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
Step-by-step explanation:
The given is,
A single deposit amount - $ 2700
APR - 4.5%
( Compounded monthly )
Period - 7 years
Step:1
Formula to find future amount with an APR compounded monthly,
.......................(1)
Where, A - Future amount
P - Initial deposit
r - Interest rate
n - Number of compounding in a year
t - No.of years
From given,
P = $ 2700
r = 4.5%
n = 12 (∵ For monthly n becomes 12 )
t = 7 years
Equation (1) becomes,
A = $3697.52
Result:
The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.
Answer:
Null Hypothesis, : p = 0.20
Alternate Hypothesis, : p > 0.20
Step-by-step explanation:
We are given that 241 subjects are treated with a drug that is used to treat pain and 54 of them developed nausea.
We have to use a 0.05 significance level to test the claim that more than 20% of users develop nausea.
<em>Let p = population proportion of users who develop nausea</em>
So, <u>Null Hypothesis,</u> : p = 0.20
<u>Alternate Hypothesis</u>, : p > 0.20
Here, <u><em>null hypothesis</em></u> states that 20% of users develop nausea.
And <u><em>alternate hypothesis</em></u> states that more than 20% of users develop nausea.
The test statistics that would be used here is <u>One-sample z proportion</u> test statistics.
T.S. = ~ N(0,1)
where, = proportion of users who develop nausea in a sample of 241 subjects =
n = sample of subjects = 241
So, the above hypothesis would be appropriate to conduct the test.