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Nesterboy [21]
3 years ago
7

logan mader 4 stacks of wooden blocks, the first tackswas 6 blocks tall,the second stacks was 2 blocks taller than the first, th

e third stack was 2 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. how many blocks logan use in all? a)34 block, b)36 blocks c)38 blocks d)40blocks
Mathematics
1 answer:
Arada [10]3 years ago
4 0
6+8+6+16= b)36 blocks
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This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
3 years ago
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44.
nlexa [21]

Answer:

Sarah is 60 years old

Step-by-step explanation:

64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60

3 0
2 years ago
Read 2 more answers
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
BartSMP [9]

Answer:

5+2*(7-4) =11

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

(5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

5 0
3 years ago
jerome bought 2 postcards and received $1.35 in change in quarters and dimes. If he got coins back, how many of each coin did he
Butoxors [25]
There are many possibilities

11 dimes and 1 quarter

6 dimes and 3 quarters

1 dime and 6 quarters

Much more...
7 0
3 years ago
Solve with elimination , please help.
Svetlanka [38]
This is the answer the x=3 and the y=2
7 0
3 years ago
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