First point (0,1)
x=0, -3*0+2y=2, y=1
second point (2,4)
-3x+2y=2
x=2, -3*2+2y=2, -6+2y=2, 2y=8, y=4
third point (-2, -2)
x=-2, -3*(-2)+2y=2, 6+2y=2, 2y=-4, y=-2
The annual interest rate of her investment would be = 4%
<h3>Calculation of annual interest rate</h3>
The principal amount invested= $500
The period of investment= 4years
The interest received= $80
The interest rate= ?
To calculate the interest rate use the formula,
SI = P×T×R/100
80 = 500 × 4 ×R/100
Make R the subject of formula,
R= 80 ×100/500×4
R= 8000/2000
R= 4%
Therefore, the annual interest rate of her investment would be = 4%.
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Answer:
null hypothesis is p=0.41
alternate hypothesis is p<0.41
Sample proportion is 0.36
critical value for a = 0.01 is -2.2326
z-statistic is −1,0166
critical value for the level of significance 0.10 is -1.28155
we fail to reject the null hypothesis in 0.01 significance level.
Step-by-step explanation:
Let p be the proportion of the viewing audience of 11:00PM CBS newscast in the area. Then
: p=0.41
: p<0.41
Sample proportion is 0.36 and critical value (left tailed) for a=0.01 is -2.2326
sample proportion Z-score can be calculated as follows:
z(0.36)=
where
- p(s) is the sample proportion of vieved newscast (0.36)
- p is the proportion assumed under null hypothesis. (0.41)
- N is the sample size (100)
putting the numbers z(0.36)=
=−1,0166
if the level of significance is 0.10 then critical value would be -1.28155.
in 0.01 significance level sample mean is not in the critical region, therefore we fail to reject the null hypothesis.
