Answer:
<em>The observed t (2.533) is in the tail cut off by the critical t (2.462), therefore we reject H0. It is likely that the books are older than 20 years of age on average.</em>
Step-by-step explanation:
<em>Step 1: Hypotheses and α level
</em>
H0: μ ≤ 20
H1: μ > 20
<u><em>α = 0.01</em></u>
<em>Step 2: Critical region
</em>
α = .01
One-tailed
df = n – 1 = 30 – 1 = 29
<u><em>t - critical = 2.462
</em></u>
<em>Step 3: Calculate t which is observed
</em>
sM = √(s2 / n) = √(67.5 / 30) = 1.5
t = (M – μ) / sM
t = (23.8 – 20) / 1.5
<u><em>t = 2.533
</em></u>
<u><em /></u>
Answer:
4x≥20
Step-by-step explanation:
x≥5
Multiply each side by 4
4x ≥4*5
4x≥20
The answer is 12.5 the reason is due to base x height equals width so multiply the base which is 6 by a number until you get 75 which is just 12.5
Well as x can never actually be -1 because I'm in the denominator -1 + 1 = 0 and we cannot divide by zero. But we can look at what number it approaches and i assume that is the relative value. sometimes functions will have asymptotes and others will have holes in the graph. this one would have an asymptote going down at a rapid rate. the asymptote would go on forever getting infinitely close to -1 but never touching. So I would say since the asymptote goes down forever that the graph approaches negative infinity
In order for the polynomial to be a degree of 4, it must have exactly 4 roots. According to the fundamental theorem of algebra: "The number of roots in a function is equivalent to the degree of the function"
These roots do not have to be real numbers, which means they can be imaginary or complex.
In this case, (-11 - √2i), (3 + 4i), and 10. There are three roots, which means that the polynomial can be a third of fourth degree polynomial. It is wrong for Patricia to assume that this is a fourth degree polynomial when only three roots are known.
<h3><u>The degree of the polynomial will at least be three, but could be higher.</u></h3>