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alexandr402 [8]
3 years ago
13

What is the connection between rational exponents and radicals?

Mathematics
2 answers:
Zina [86]3 years ago
8 0
\bf a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
WARRIOR [948]3 years ago
5 0
Radicals and rational exponents are  alternate ways of expressing the same thing.
n√x<u />
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Susan paid $15.84 for a 7.48 - kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 - kg bag at a different store.
barxatty [35]

The unit price for the 7.48 is $2 kg per bag and the unit price for the 7.94 is $2 per kg bag, there is no difference in unit rates of both the bag.

<h3>What is unit rate?</h3>

A unit rate means a rate for one of something.

Given that, Susan paid $15.84 for a 7.48 kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 kg bag at a different store.

15.48/7.48 = $2/kg

16.58/7.94 = $2/kg

Hence, there is no difference in between both the bags, hence either of them are better.

For more references on unit rates, click;

brainly.com/question/11258929

#SPJ1

4 0
1 year ago
Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to
ra1l [238]

Answer:

The  confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

  The  sample size is n = 41

   

For a 95% confidence the level of significance is  \alpha  = [100 - 95]\% =  0.05 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }=  1.96

For a 90% confidence the level of significance is  \alpha  = [100 - 90]\% =  0.10 and

the critical value  of  \frac{\alpha }{2}  is   Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }=  1.645

So we see with decreasing confidence level the critical value  decrease

Now the margin of error is mathematically represented as

         E =  Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }

given that other values are constant and only Z_{\frac{\alpha }{2} } is varying we have that

         E\ \  \alpha \ \   Z_{\frac{\alpha }{2} }

Hence for  reducing confidence level the margin of error will be reducing

  The  confidence interval is mathematically represented as

        \= x  - E  <  \mu <  \= x  + E

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value  reduces, the margin of error  reduces and the confidence interval becomes narrower

3 0
3 years ago
Help me with this question please!
Amiraneli [1.4K]

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

7 0
3 years ago
Drag the names to match the geometric terms as shown in the diagram.
mamaluj [8]

Just so you know, there's no diagram

6 0
3 years ago
What is the area of this triangle?
Diano4ka-milaya [45]

ANSWER

56.1 square inches.

EXPLANATION

The area of this triangle can be calculated using the formula,

Area =  \frac{1}{2} ab \sin( C)

where a=8in.

b=14.2 in.

and C=99° is the included angle.

We plug in these values to obtain,

Area =  \frac{1}{2} \times  8 \times 14.2 \sin( 99 \degree)

Area = 56.1007

We round to the nearest tenth to get,

56.1 sq. inch

6 0
3 years ago
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