It can be a fraction, a decimal, a mixed number, or any irrational number.
Answer:
After 1 years: 20235.396, which can be rounded to 20235.40
After 2 years: 21523.79
After 5 years: 25388.98
After 10 years: 31830.96
The money doubles after 15 years.
Answer:
a) H0 : P = 0.07
Ha : P ≠ 0.07
b) p -value = 0.1770
Step-by-step explanation:
P = 7% = 0.07
x (result ) = 7 , n = 163
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07
Ha : P ≠ 0.07
conduct a Z- test statistic
Z = ( p - P ) /
= ( 0.043 - 0.07 ) / = - 1.35
Critical value ( Z₀.₀₂₅ ) = ± 1.96
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
= 2 * P ( Z < -1.35 )
= 0.1770
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )
<span>Two lines that are always the same distance apart and never touch. this is called your Parallel lines
</span><span>Two lines that do not intersect and are not parallel. this is called your Skew lines
</span>
<span>Parallel planes are found in shapes like cubes, which actually has three sets of parallel planes. this is called your Parallel planes
</span>
<span>If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles. this is called your Parallel postulate</span>