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Fittoniya [83]
3 years ago
5

How do you convert from a radical expression to a rational exponent?

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0
 The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
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There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impress
____ [38]

Answer:

Mean = 47

n = 6

s= 16.56

\sqrt n = 2.45

SEM = 11.55

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

Mean = \frac{\sum x}{N}

Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30  +35 + 53 + 43}{18}

Mean = \frac{846}{18}

Mean = 47

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

n = 6

Solving (c): Standard deviation (s)

This is calculated as:

s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}

So, we have:

s= \sqrt{\frac{(55 - 47)^2 + (31  - 47)^2 +......... + (43 - 47)^2}{18}}

s= \sqrt{\frac{4936}{18}}

s= \sqrt{274.22}

s= 16.56

Solving (d): Square root of n

\sqrt n = \sqrt 6

\sqrt n = 2.45

Solving (e): SEM

This is calculated as:

SEM = \frac{s}{\sqrt N}

SEM = \frac{47}{\sqrt{16.56}}

SEM = \frac{47}{4.07}

SEM = 11.55

5 0
3 years ago
Riley has $200 she spends 60 on a video game what percent of her money does Riley spend?
GREYUIT [131]

Answer:

30%

Step-by-step explanation:

60/200 = 3/10 = 30%

6 0
1 year ago
Evaluate m+n for m=5 and n=10
exis [7]

Answer:

15

Step-by-step explanation:

5 + 10 = 15

4 0
3 years ago
Rewrite each equation below so that it solved for y. Please show all steps.
Natali5045456 [20]
A) x = 3y+6
3y = x-6
divide both sides by 3.
y = (x/3) -2

b) x = 5y-10
5y = x+10
divide both sides by 5.
y = (x/5) +2

c) x = y^2
square root both sides.
y = sqrt(x)

d) x = 2y^2 -4
x+4 = 2y^2
divide both sides by 2.
(x/2) +2 = y^2
square root both sides.
y = sqrt((x/2)+2)

e) x = (y-5)^2
square root both sides.
sqrt(x) = y-5
y = sqrt(x) +5
7 0
3 years ago
6. The Brinson family is going camping. Their tent is shaped like a rectangular pyramid. The volume
nydimaria [60]

<u>Given</u>:

Given that Brinson's family is going camping. Their tent is shaped like a rectangular pyramid.

The volume of the tent is 6000 cubic inches.

The area of the base of the tent is 1200 square inches.

We need to determine the height of the tent.

<u>Height of the tent:</u>

The height of the tent can be determined using the formula,

V=\frac{1}{3}Bh

where B is the area of the base and h is the height of the pyramid.

Substituting V = 6000 and B = 1200, we get;

6000=\frac{1}{3}(1200)h

6000=400h

   15=h

Thus, the height of the tent is 15 inches.

5 0
4 years ago
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