Step-by-step explanation:
markup amount = 45% of $27
=> 45/100 * $27
=> $12.15
Now,
selling price = $27 + $12.15 => $39.15
Answer:
The given linear equation are
⇒9x+3y+12=0....eq1
⇒a1
=9,b1
=3,c1
=12
⇒18x+6y+24...eq2
⇒a2
=18,b2
=6,c2
=24
⇒a1/a2
=9/18 =1/2
⇒ b1/b2= 3/6 = 1/2
⇒ c1/c2= 12/24= 1/2
comparing
⇒ a1/a2,b1/b2,c1/c2
⇒ a1/a2=b1/b2=c1/c2
Hence, the line represented by eq1 and eq2 are coincidents
Step-by-step explanation:
Answer:
Both will be at the same page after 6.5 days and the page number will be 180.
Step-by-step explanation:
Let after x days Nora and Lila will be at the same page.
Nora is on page 128 and plans to read 8 pages per day until the next club meeting.
After x days Nora will be at the page number = 128 + 8x
Similarly, Lila is on page 102 and she reads 12 pages per day.
After x days Lila will be on page number = 102 + 12x
Since after x days they will be at the same page
Therefore, 128 + 8x = 102 + 12x
12x - 8x = 128 - 102
4x = 26
x = 
x = 6.5 days
Page number they will be on = 128 + 8(6.5)
= 128 + 52
= 180
Both will be at the same page after 6.5 days and the page number will be 180.
Answer:
$5.50
Step-by-step explanation:
The function we are given is
p = 0.80n + 5.50,
where n is the number of balls.
Multiplying this variable by 0.80 means $0.80 will be the cost per ball. The additional amount added to the variable in the function, 5.50, will be the entrance fee.
The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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