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3 years ago

Which expressions are equivalent to 2^5/6^5

Mathematics

2 answers:

Anton [14]3 years ago

8 0

3^-5 is the answer to this expression.

MrRa [10]3 years ago

3 0

Answer:

$( \frac{ {2}^{5} }{ {6}^{5} } ) = {( \frac{2}{6} )}^{5} = ({ \frac{1}{3} })^{5} = \frac{ {1}^{5} }{ {3}^{5} } = \frac{1}{243}$

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Suppose 150 students are randomly sampled from a population of college students. Among sampled students, the average IQ score is

Nadya [2.5K]

Answer:

99% confidence interval for the mean of college students 

A) 112.48 < μ < 117.52

Step-by-step explanation:

step(i):-

Given sample size 'n' =150

mean of the sample = 115

Standard deviation of the sample = 10

99% confidence interval for the mean of college students are determined by

 $(x^{-} -t_{0.01} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01} \frac{S}{\sqrt{n} } )$ 

Step(ii):-

Degrees of freedom

ν = n-1 = 150-1 =149

t₁₄₉,₀.₀₁ = 2.8494

99% confidence interval for the mean of college students are determined by

 $(115 -2.8494 \frac{10}{\sqrt{150} } , 115 + 2.8494\frac{10}{\sqrt{150} } )$ 

on calculation , we get

(115 - 2.326 , 115 +2.326 )

(112.67 , 117.326) 

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3 years ago

Given that BZ BA, if WV = 24, find ZY. A. 48 B. 24 C. 12 D. 6

lions [1.4K]

The computation shows that the value of the length of ZY will be B. 24.

<h3>How to illustrate the information?</h3>

Let the assumed figures be:

BZ = 48

BA = 12

WV = 24

ZY = Unknown

Let's assume that the opposite sides in the quadrilateral are the same, the value of ZY will be:

ZY = (48 × 12)/24

ZY = 24

Learn more about length on:

brainly.com/question/2217700

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2 years ago

Randy is walking home from school. According to the diagram above, what is his total distance from school to home? Show your wor

In-s [12.5K]

Answer:

First, when he walks, we can see in the image that between the school and his house he must walk 4 times a distance of 0.5km, so this is a total of 4¨*0.5km = 2km.

Then he needs to walk 2km.

Now if he has a jet-pack, he can ignore the buildings and just take the shorter path, here we can draw a triangle rectangle, in such a way that the hypotenuse of this triangle is the distance between the home and the school.

One of the catheti is the vertical distance (two blocks of 0.5km, so this catheti has a length of 2*0.5km = 1km), and the other one is the horizontal distance, also 1km.

The actual distance of this path is given by the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse, then:

H^2 = 1km^2 + 1km^2

H = (√2)km = 1.41km.

Now, in the case that he has a jet-pack, he can actually go to the school using this hypotenuse line as his path, in this case the distance and the displacement would be the same.

This is because the definitions of distance and displacement are:

Distance: "how much ground an object has covered"

Displacement: "Difference between the final position and the initial position"

When he walks, the distance is 2km and the displacement is 1.41km , but when he uses the jet pack, the distance is equal to the displacement, both are 1.41km.

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4 years ago

Please answer this correctly

Alecsey [184]

20 cartons of ice cream = 1 carton of ice cream = $4, meaning that $4 x 20 = $80

2 cartons of yogurt = 1 carton of yogurt = $1, meaning that $1 x 2 = $2

$80 + $2 = $82

Hope this helped!

Nate

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4 years ago

Read 2 more answers

My last question for the pre test

Sindrei [870]

Answer:

Step-by-step explanation:

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3 years ago