Answer:
Step-by-step explanation:
First, we will eliminate the x, so we multiply the first one by 2.
4x+6y=4
4x-2y=4
So, we have y=0, and we put that in the equations, so x is 1
Answer: 5.37
Step-by-step explanation:
Let x = ACT scores.
Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.
i.e. P(X>28)=0.09 (i)
Now,
![P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28X%3E28%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B28-20.8%7D%7B%5Csigma%7D%29%5C%5C%5C%5C%3D%20P%28z%3E%5Cdfrac%7B7.2%7D%7B%5Csigma%7D%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D)
(ii)
One -tailed z value for p-value of 0.09 =1.3408 [By z-table]
From (i) and (ii)
Hence, the standard deviation = 5.37
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
<h3>What is inequality?</h3>
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Total number of hours = 1000
Total number of trimmers = 200
Let x represent the number of cord-type models,
Let y represent the number of cordless models.
Now,
x + y ≤ 200
2x + 10y ≤ 1000
Thus,
The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:
x + y ≤ 200
2x + 10y ≤ 1000
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ1
Answer:
3rd one. The general form of a circle is set equal to the radius squared. So right side is 4 then plug in values until true.
