Help please Simplify the expression: (a^5)^3 * A.a^8 B.a^2 C.a^15 D.a^(-2)
1 answer:
You might be interested in
<em>EXPLANATION:</em>
Classification of numbers according to the Venn diagram:
<em>Rational numbers:</em>
These numbers are represented by a fraction a / b, where a and b are integers and also b is different from zero.
<em>Whole numbers</em><em>:</em>
An integer is a natural number that can be positive or negative.
<em>Natural numbers:</em>
Natural numbers are those that start at zero to infinity are clearly positive.
<em>Rational numbers:</em>
When taking the square root of 8, 36 and 4 the result is an exact value that is why they are considered as rational numbers.
<em>Irrational Numbers:</em>
When the root of a number is not exact but is expressed as an infinite decimal as in the case of the square root of 140 which is 11.83215956619; this is an irrational number, also this result cannot be expressed as a fraction.
Answer:
The standard deviation of tire life does exceed 3000 km
Step-by-step explanation:
This is a Chi-Square Hypothesis Test for the Standard Deviation, here we have
so, this is an upper one-tailed test.
The <em>test statistic</em> is
where
<em>n = 10 is the sample size</em>
<em>s = sample standard deviation</em>
= population standard deviation
we would reject the null hypothesis if
where
is the critical value corresponding to the level of significance with n-1 degrees of freedom.
we can use either a table or a spreadsheet to compute this value.
In Excel use
CHISQ.INV(0.05,9)
In OpenOffice Calc use
CHISQINV(0.05;9)
and we get this value equals 3.3251
Working out our T statistic
Since T > 3.3251 we reject the null and conclude that the standard deviation of tire life exceeds 3000 km.