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MissTica
3 years ago
8

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0
The answers are:
__________________________
    [B]:  "√12 " ;   AND:
__________________________
    [D]:  "<span>√20" .
__________________________
Note:  "Irrational numbers" have decimals that are:  1) non-terminating;  AND:  2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A)  "</span><span>√9"  =  3 .  Rule out this choice.
__________________________________
Choice C)  "</span><span>√16" = 4 .  Rule out this choice.
__________________________________
Choice E)  "</span><span>√25" = 5.   Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
    [B]:  "</span>√12"  ;  and:  [D]:  "<span>√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer.   However, let us explore these two choices, using a calculator.
____________________________
    [B]:  </span>"√12"  =  3.4641016151377546

    [D]:  "√20"  =  4.4721359549995794
_________________________________
These two answer choices should the correct answers.
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Answer:

There is no solution for this set of equations.

The sum of two numbers can not have two different solutions.

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dangina [55]

Answer:

6.7

Step-by-step explanation:

\sqrt(3 ^{2}  + 6 ^{2} )

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2 years ago
If joe runs 1,600 meters in 5 minutes, what is joes speed?
ruslelena [56]

Answer:

320 meters per minute, or 19,200 meters per hour

Step-by-step explanation:

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8 0
3 years ago
About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex
enot [183]

Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) ×  (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .

= \frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by \dfrac{2}{3}.

8 0
3 years ago
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