What is the image point of (6, 1) after a translation left 5 units and down 1 unit?

In a psychology class, 28 students have a mean score of 83.6 on a test. Then 25 more students take the test and their mean score

GalinKa [24]

Answer:

The new mean would be given by:

$\bar X_f = \frac{\sum_{i=1}^n X +X_1}{28+25}$

And replacing we got:

$\bar X_f = \frac{2340.8+ 1720}{28+25}= 76.6$

Step-by-step explanation:

We know that the original mean from the 28 students is given by:

$\bar X= \frac{\sum_{i=1}^{28} X_i}{28}= 83.6$

The sum of the values is:

$\sum_{i=1}^{28} X_i = 28*83.6 =2340.8$

And now we know that the new mean is 68.8 with the 25 new people so then the new mean would be given by:

$\bar X_1 = \frac{\sum_{i=1}^{25} X_i}{25} = 68.8$

The sum of the values is:

$\sum_{i=1}^{25} X_i = 25*68.8 =1720$

The new mean would be given by:

$\bar X_f = \frac{\sum_{i=1}^n X +X_1}{28+25}$

And replacing we got:

$\bar X_f = \frac{2340.8+ 1720}{28+25}= 76.6$

5 0

3 years ago

Gordon is going to buy fruit

Mkey [24]

Answer:

4R+2S=24

Step-by-step explanation:

Let the raspberry be represented as R

Let the strawberry be represented as S

Since a carton of raspberry is$4=4R

Since a carton of strawberry is $2=2S

And the sum of the two is 24

4R+2S=24

Since a specific value is not given

So the final answer is

4R+2S=24

8 0

4 years ago

On Monday, allie’s bank account balance was -$24. On Tuesday, her account balance was less than it was on Monday. Use absolute v

Colt1911 [192]

Answer:

on Tuesday, her account balance being less than -$24 means her debt will be bigger than $24 dollars.

Step-by-step explanation:

On Monday, allie's bank account balance was -$24.

Balance being negative means he is carrying a debt of $24.

Of course it must have happened when she must not have enough money in his bank account to meet expenses and transactions.

On Tuesday, Allie's balance account was less than it was on Monday. It means

Her bank account < -$24
So, she must be carrying a debit bigger than $24.

Therefore, on Tuesday, her account balance being less than -$24 means her debt will be bigger than $24 dollars.

Keywords: account balance, absolute value

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3 0

3 years ago

Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?

Step2247 [10]

Answer:

$X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$

Step-by-step explanation:

A matrix is given by

$A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]$

Now, we have to find the matrix X if $\frac{1}{2} X = A$

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, $X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]$

⇒ $X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]$ (Answer)

4 0

4 years ago

Read 2 more answers

Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Plz help Pl

erastovalidia [21]

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

6 0

3 years ago

Read 2 more answers