Answer:
The type of association between x and y are inversely proportional
Step-by-step explanation:
Solution:
Here the x value increase, the y value decrease which implies that x is inversely proportional to y
I hope this helps.
Answer: 9/10
Explanation:
3/4 divide by 5/6
= 3/4 x 6/5
= 18/20
= 9/10
Answer:
-2x² - 8x + 15 = 0
Step-by-step explanation:
Given the following algebraic expression;
x² – 7x + 5
-3x² - x + 10
To add the equation together;
x² – 7x + 5 + (-3x² - x + 10) = 0
x² – 7x + 5 - 3x² - x + 10 = 0
Collecting like terms, we have;
(x² - 3x²) - (7x + x) + (5 + 10) = 0
-2x² - 8x + 15 = 0
Hello, the answer should be
.
First, let's edit the given function as
parameter leave alone.
![15x+18y=270\\\\18y=270-15x\\\\y=\frac{270-15x}{18}\\ \\y=\frac{270}{18}-\frac{15x}{18}](https://tex.z-dn.net/?f=15x%2B18y%3D270%5C%5C%5C%5C18y%3D270-15x%5C%5C%5C%5Cy%3D%5Cfrac%7B270-15x%7D%7B18%7D%5C%5C%20%5C%5Cy%3D%5Cfrac%7B270%7D%7B18%7D-%5Cfrac%7B15x%7D%7B18%7D)
<h2><u>IMPORTANT!</u></h2>
If the given equation looks like;
![y=f(x)\\\\y=ax+b](https://tex.z-dn.net/?f=y%3Df%28x%29%5C%5C%5C%5Cy%3Dax%2Bb)
then, the slope of the equation is <u><em>the coefficient of </em></u>
<u><em> parameter (</em></u>
<u><em>)</em></u>
<u><em></em></u>
The slope(m);
![m=\frac{-15}{18}=\frac{-5}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-15%7D%7B18%7D%3D%5Cfrac%7B-5%7D%7B6%7D)
The product of the slopes of two perpendicular lines must be
. By that way, the slope of a line perpendicular to the given line is below:
![m_{expected}=\frac{-1}{m_{given}} \\\\m_{expected}=\frac{-1}{\frac{-5}{6} }=\frac{6}{5}](https://tex.z-dn.net/?f=m_%7Bexpected%7D%3D%5Cfrac%7B-1%7D%7Bm_%7Bgiven%7D%7D%20%5C%5C%5C%5Cm_%7Bexpected%7D%3D%5Cfrac%7B-1%7D%7B%5Cfrac%7B-5%7D%7B6%7D%20%7D%3D%5Cfrac%7B6%7D%7B5%7D)
Good luck. If you have any questions, then feel free to ask in comments!
Answer: Yes , it is unusual for a boiler to weigh more than 1550 grams .
Step-by-step explanation:
Given : Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approximately normally distributed with mean
1358 grams and standard deviation
161 grams.
When the probability that broiler weigh more than 1550 grams < 0.5 , then is unusual otherwise not.
Let x denotes the weight of broiler, then the probability that broiler weigh more than 1550 grams :-
Since 0.117<0.5
Therefore, it is unusual for a boiler to weigh more than 1550 grams .