The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number
<h3>Surd operation</h3>
Surd multiplication can be carried out as illustrated below:
a√b × c√d = (a × c)√(b × d)
<h3>How to determine the product of 4√27 and 5√3</h3>
The product of 4√27 and 5√3 can obtained as illustrated below:
a√b × c√d = (a × c)√(b × d)
4√27 × 5√3 = (4 × 5)√(27 × 3)
4√27 × 5√3 = 20√81
But
√81 = 9
Thus,
4√27 × 5√3 = 20 × 9
4√27 × 5√3 = 180
Therefore, the product of 4√27 and 5√3 is 180
<h3>What are rational numbers?</h3>
These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero
Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)
Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number
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Answer:
b. No
Step-by-step explanation:
Binomial approximation to the normal:
Binomial distribution has n trials, with p probability.
If
and
, it can be approximated to the normal distribution.
Assume the probability that a given student will not pass their college placement exam is 98%.
This means that ![p = 0.98](https://tex.z-dn.net/?f=p%20%3D%200.98)
134 students:
This means that ![n = 134](https://tex.z-dn.net/?f=n%20%3D%20134)
Necessary conditions:
![np = 134*0.98 = 131.32 \geq 10](https://tex.z-dn.net/?f=np%20%3D%20134%2A0.98%20%3D%20131.32%20%5Cgeq%2010)
![n(1-p) = 134*0.02 = 2.68 < 10](https://tex.z-dn.net/?f=n%281-p%29%20%3D%20134%2A0.02%20%3D%202.68%20%3C%2010)
Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.
Answer:
Slope: y2-y1/x2-x1
-5+3/-6-6 = 1/6
y+3 = 1/6 (x-6)
y+3 = 1/6x - 1
y=1/6x-4
Step-by-step explanation: