Which of the following values of m will result in a true statement when substituted into the given equation?

you currently have 24 credit hours and a 2.8 gpa you need a 3.0 gpa to get into the college. if you are taking a 16 credit hours

Juliette [100K]

Answer:

$\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2$

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

$\bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0$

And we can solve for $\sum_{i=1}^n w_f *X_f$ and solving we got:

$3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f$

And from the previous result we got:

$3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f$

And solving we got:

$\sum_{i=1}^n w_f *X_f =120 -67.2= 52.8$

And then we can find the mean with this formula:

$\bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3$

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Step-by-step explanation:

For this case we know that the currently mean is 2.8 and is given by:

$\bar X = \frac{\sum_{i=1}^n w_i *X_i }{24} = 2.8$

Where $w_i$ represent the number of credits and $X_i$ the grade for each subject. From this case we can find the following sum:

$\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2$

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

$\bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0$

And we can solve for $\sum_{i=1}^n w_f *X_f$ and solving we got:

$3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f$

And from the previous result we got:

$3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f$

And solving we got:

$\sum_{i=1}^n w_f *X_f =120 -67.2= 52.8$

And then we can find the mean with this formula:

$\bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3$

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

6 0

3 years ago

Equation of a line that goes through point (4,2) and perpendicular to -x+y=1

mojhsa [17]

Answer:

hsgdcsjavebiav2gwjevd

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3 years ago

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Identify the graph of f(x)=4^x

Wittaler [7]

Answer:

the first one

Step-by-step explanation:

The correct one is the one in the top left corner.

A great website to find out things like this is

https://www.mathpapa.com/algebra-calculator.html

5 0

3 years ago

A sailboat rental company charges a fee of $78.75 plus $80.25 per hour to rent a sailboat. A second rental company charges custo

Varvara68 [4.7K]

Answer:

3.69 hours

Step-by-step explanation:

y = 80.25x + 78.75

y = 95.75 + 40

85.25x + 78.75 = 95.75 + 40

-85.25x -40 -85.25x -40

38.75/10.5 = 10.5x/10.5

3.690476190..... = x

rounding

3.69 = x

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3 years ago

Determine the measure of angle uvs

Korolek [52]

The angle measure is 78/2 degrees. that would simplify down to 39 degrees. I don't remember the theroem but I do know that the angle is half the side length angle measure

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3 years ago

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