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Anna [14]
3 years ago
10

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

this semester. what gpa must you get in order to raise your gpa to the correct level? set up an equation and use algebra to solve.
Mathematics
1 answer:
Juliette [100K]3 years ago
6 0

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

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You stand 50 feet from a monument. The angle of depression from the top of the monument to your feet is 64 degrees. Approximatel
Murrr4er [49]

Answer:

The monument is approximately 86.6 feet tall

Step-by-step explanation:

The given monument parameters are;

The distance of the person from the monument = 50 feet

The angle of depression from the top of the monument to the person's feet = 64°

Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;

tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)

∴ The height of the monument = tan(Angle of depression) × The distance from the monument

Substituting the known values, gives;

The height of the monument = tan(60°) × 50 ≈ 86.6

The height of the monument ≈ 86.6 feet.

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3 years ago
Apples cost $0.75 per pound and bananas cost $1.05 per pound.
dedylja [7]

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

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Hope this helps :)

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3 years ago
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kykrilka [37]
N=t/p-c   i think......
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mafiozo [28]

Answer:

120.96$

Step-by-step explanation:

150$ - 25% = 112$


112$ + 8% = 120.96$


Hope this helps!!

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3 years ago
(3 x 105 ) x (2 x 103 )
anzhelika [568]

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

6 0
3 years ago
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