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boyakko [2]
3 years ago
6

How to find slope and y intercept 6x-5y=15?

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0
We need to put this equation in y = mx + b form because in this form, the slope will be in the m position and the y intercept will be in the b position. So basically, we solve for y.

6x - 5y = 15 ....subtract 6x from both sides
-5y = -6x + 15...divide both sides by -5
(-5/-5)y = (-6/-5)x + (15/-5)...simplify
y = 6/5x - 3

y = mx + b...remember, m is ur slope and b is ur y int
y = (6/5)x + (-3).....ur slope(m) = 6/5 and ur y int (b) = -3
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(08.06)The following data show the height, in inches, of 11 different garden gnomes:
Elodia [21]

Answer:

The correct statement is:

On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

Step-by-step explanation:

We are given a data of 11 gardens as:

2   9    1    23    3    7    10    2    10    9     7

Now on removing the outlier i.e. 23 (since it is the very large value as compared to other data points) the entries are as follows:

x         |x-x'|        

2          4              

9          3              

1           5              

3          3              

7           1                

10         4              

2           4              

10          4              

9           3              

7            1              

Now mean of the data is denoted by x' and is calculated as:

x'=\dfrac{2+9+1+3+7+10+2+10+9+7}{10}\\\\x'=\dfrac{60}{10}\\\\x'=6

Hence, Mean(x')=6

Now,

∑ |x-x'|=32

Now mean of the absolute deviation is:

\dfrac{32}{10}=3.2

This means that , On average, the height of a garden gnome varies 3.2 inches from the mean of 6 inches.

8 0
3 years ago
Write 28.63 in expanded notation and word form.
Andrews [41]

Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

6 0
3 years ago
On monday ,jan made wgitmddrawls of $25,$45 and $75 from her savings account .On the sane day, het twin sister lola made withdra
Dafna11 [192]
Part (a):
We will assume that the total amount is Jan's saving account is "m"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -25$ - 45$ - 75$
Amount of money remaining in her account = m - 145$
The amount of money Jan withdrew = 25$ + 45$ + 75$ = 145$

Part (b):
We will assume that the total amount is Lola's saving account is "n"
Now, "withdrawal" means that she took money from her account, which means that the amount of money in her account decreased by the amount she withdrew.
Sum of negative integers to show her withdrawals = -35$ - 55$ - 65$
Amount of money remaining in her account = n - 155$
The amount of money Lola withdrew = 35$ + 55$ + 65$ = 155$
7 0
3 years ago
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