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3 years ago

Can someone simplify this? (Picture attached)

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

x^4*y^(3/2)

Step-by-step explanation:

x result

x^6/x = x^6/x^1 = x^(5 - 1) = x ^4

y result

y^2 / y ^(1/2) = y^(2 - 1/2) = y^(3/2)

there are a couple of ways y can be represented. We need to see choices if there are any.

Answer

x^4*y^(3/2)

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For a population with a mean of 40 and a standard deviation of 8 find the z-score corresponding to each of the following samples

aleksley [76]

Answer:

a) -0.75

b) -1.5

c) -3

Step-by-step explanation:

The question asks to convert a given value to z score with different sample sizes.

We are given:

Population Mean = u = 40

and

Standard deviation = s = 8

The task is to convert 34 to z-score using 3 different sample sizes.

For a given sample size "n", the formula to calculate the z-score is:

$z=\frac{x-u}{\frac{s}{\sqrt{n} } }$

For x = 34 and n=1, we get:

$z-score=\frac{34-40}{\frac{8}{\sqrt{1} } } = -0.75$

For x = 34 and n = 4, we get:

$z-score=\frac{34-40}{\frac{8}{\sqrt{4} } } = -1.5$

For x = 34 and n = 16, we get:

$z-score=\frac{34-40}{\frac{8}{\sqrt{16} } } = -3$

From here we can see that increasing the sample sizes increases the magnitude of z-score.

3 0

3 years ago

The slop of the line shown below is 3/2 what is the value of a

sdas [7]

Answer:

6, because the slope is equivalent to the value of a / 4. you see the run is 4, double of two, so the answer that makes sense is 6 as it is double of three.

6 0

3 years ago

If 571 - 397 = 174, then 174 + 397 = 571. Explain why this statement is true using numbers, pictures, or words.

ycow [4]

It's backwards to check subraction
inverse operation of subtraction is addition, so you add to check the answer

5 0

3 years ago

Consider the two vectors A with arrow = 3 î − ĵ and B with arrow = − î − 2 ĵ. (a) Calculate A with arrow + B with arrow 2 Correc

Verdich [7]

Answer:

Let $\vec{A}=3\hat{i}-\hat{j}$ and $\vec{B}=-\hat{i}-2\hat{j}$ .

$\vec{A}+\vec{B}=(3\hat{i}-\hat{j})+(-\hat{i}-2\hat{j})=2\hat{i}-3\hat{j}$

$\vec{A}-\vec{B}=(3\hat{i}-\hat{j})-(-\hat{i}-2\hat{j})=4\hat{i}+\hat{j}$

c) Now we calculate the direction of $\vec{A}+\vec{B}$ and $\vec{A}-\vec{B}$

We calculate the direction of $\vec{A}+\vec{B}$ like this:

$\theta=tan^{-1}(\frac{-3}{2})=-56,3^{\circ}$ . Since, $270\leq\theta\leq360$ , then the direction of $\vec{A}+\vec{B}$ is $360^{\circ}-\theta=360^{\circ}-56.3^{\circ}=303.7^{\circ}$ .

Now, for $\vec{A}-\vec{B}$

$\theta=tan^{-1}(\frac{1}{4})=14^{\circ}$ .

8 0

3 years ago

What is −3 2/3⋅(−2 1/4) ? −8 1/4 −6 1/6 6 1/6 8 1/4

GalinKa [24]

-3 2/3 (-2 1/4)
= -11/3 * -9/4
= 99/12
= 8 3/12
= 8 1/4

In short, Your Answer would be Option D

Hope this helps!

3 0

3 years ago