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Rainbow [258]
3 years ago
8

Could you help me with this. Express in simplest radical form. 162 ​

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

The square root of 162 in its simplest form means to get the number 162 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 162 like this:

√162

The largest perfect square of the factors of 162 is 81. We can therefore convert √162 like this:

√81 × 2

Next, we separate the numbers inside the √ as such:

√81 × √2

√81 is a perfect square that equals 9. We can therefore put 9 outside the radical and get the final answer to square root of 162 in simplest radical form as follows:

9√2

Step-by-step explanation:

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Find the largest rational number r for which 5r ≤ 33.
soldier1979 [14.2K]

Answer:

33/5 or 6.6

Step-by-step explanation:

Well the most 5r can be is 33, since it has the underline under it, so it's less than or equal to.

So set 5r equal to 33

5r = 33

Divide both sides by 33

r = 33/5

You can leave it in this form or convert it to a decimal which is 6.6

5 0
2 years ago
A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense he
krok68 [10]

Answer:

The calculated value z = 2.65>1.64 at 90% of level of significance

we reject null hypothesis at 10 % level of significance

The therapists use a method is not equivalent to random guesses

<u>Step-by-step explanation:</u>

<u>Step1:-</u>

Given n = 279

Among 279 ​trials, the touch therapists were correct 118 times

Proportion of success 'p' = 118/ 279 = 0.4229

She flipped a coin to select either her right hand or her left​ hand

The Population proportion P = 1/2 = 0.5

level of  significance level ∝ = 0.10

Null hypothesis H₀: P =  0.5

Alternative hypothesis H1: P ≠  0.5

Q =1-P = 0.5

<u>Step2:</u>-

The z- statistic

Z = p-P/ S.E

where standard error of proportion

S.E = √PQ/n

S.E = 0.029

z = 0.4229-0.5/0.029 = -2.65

|z|=|-2.65|=2.65

<u>Conclusion</u>:-

The calculated value z = 2.65

The tabulated value z = 1.64 at 10% 0r 90% of level of significance

The calculated value z = 2.65>1.64 at 90% of level of significance

we reject null hypothesis at 10 % level of significance

The therapists use a method is not equivalent to random guesses                    

6 0
3 years ago
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olga nikolaevna [1]
This is what I got for the answer.

3 0
3 years ago
Determine the measure of each missing angle
Drupady [299]

Answer:

w=y=86

Step-by-step explanation:

A triangle has a total angle of 180 degrees

w=y because the triangle is isoceles meaning that two sides are the same length (they are marked with a line through them)

180-94=86 degrees=w+y

w+y so 86/2=43 degrees

w=y=86

is that all the missing angles?

8 0
4 years ago
Which of the following are irrational numbers?<br><br> 3.14<br> √ 5<br> 0.3333<br> √ -4<br> 1/9
Galina-37 [17]

Answer:

√ -4

Step-by-step explanation:

all square roots of negative numbers are irrational

6 0
3 years ago
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