Ask question

Ask question

All categories

LUCKY_DIMON [66]

3 years ago

10

After a researcher adds 5 points to every score in a sample, the standard deviation is found to be s = 10. the original sample h

ad a standard deviation of s = 5.
a. True
b. False

1 answer:

12345 [234]3 years ago

4 0

A, true.

If you add 5 points to every score, that makes the difference between them 5 points higher.

You might be interested in

Describe how (2 cubed) (2 superscript negative 4) can be simplified.

Varvara68 [4.7K]

<u>Given</u>:

The given expression is $(2^3)(2^{-4})$

We need to determine how the expression can be simplified.

<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

The expression is given by

$(2^3)(2^{-4})$

Applying the exponent rule that $a^{b} \cdot a^{c}=a^{b+c}$ in the above expression, we get;

$2^{3} \cdot 2^{-4}=2^{3-4}$

Adding the exponents, we get;

$2^{3} \cdot 2^{-4}=2^{-1}$

Again, applying the exponent rule $a^{-1}=\frac{1}{a}$ , we get;

$2^{3} \cdot 2^{-4}=\frac{1}{2}$

Thus, the simplified expression is $\frac{1}{2}$

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

8 0

3 years ago

Read 2 more answers

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Find the limit, please

tino4ka555 [31]

Answer:

I think it's uhm twelve I'm not 100% sure though

4 0

1 year ago

1/3x−2= 3 What must the value of this number be?

Simora [160]

Answer: 15

Step-by-step explanation:

1/3x - 2 = 3

1/3x = 5

x = 15

6 0

3 years ago

Please please give answer

rodikova [14]

Answer:

Then the total area is 116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

8 0

3 years ago