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vlabodo [156]
3 years ago
15

What's 6x to the tenth power divided by12x to the second power

Mathematics
1 answer:
ehidna [41]3 years ago
4 0

Answer:

\frac{1}{2} x⁸

Step-by-step explanation:

Given expression:

       \frac{6x^{10} }{12x^{2} }  

= \frac{6}{12}  x \frac{x^{10} }{x^{2} }  

   As a rule of exponents;

         \frac{a^{n} }{a^{m} }  = a^{n-m}

So;

            =  \frac{1}{2} x x^{10-2}  

            = \frac{1}{2} x⁸

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US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter
Hitman42 [59]

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

           Standard deviation = 112

           Mean = 505

           Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

H_0:\mu \geq 477\\H_a:\mu < 477

Formula : z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

z=\frac{505-477}{\frac{112}{\sqrt{64}}}

z=2

Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

3 0
3 years ago
The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger ca
Varvara68 [4.7K]

Answer:

11  ;

Step-by-step explanation:

Given the data:

30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31

Number of classes = 5

Class width : Range / number of classes

Class width = (maximum - minimum) / 5

Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11

For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram

Kindly check attached picture

7 0
3 years ago
Marco's mom gave him d dollars for his allowance one week. He also earned $14.55 for his newspaper route that week.
myrzilka [38]

Answer:

The answer is  d+14.55

hope it helps!

7 0
4 years ago
(2/3,1) and slope m=4/5
ad-work [718]

Answer:

y-1=4/5(x-2/3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=4/5(x-2/3)

7 0
3 years ago
What is the answer to 2 and 3/4 +4/5
elena-14-01-66 [18.8K]
71/20 i believe. Is it multiple choice?
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3 years ago
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