Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
Answer:
The area is 35
The perimeter is 24
Step-by-step explanation:
You can count the individual units of the length and the width of the rectangle.
The width is 5, the length is 7
The area is 5*7=35
The perimeter is 5+5+7+7=24
Answer:
For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled 
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In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is 
.
Step-by-step explanation:
For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .
In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .
The circumference of the circle is actually the perimeter ( length of the boundary ) of the circle . And a part of the circle which lies between two distinct points on the circumference of the circle is called an arc . If the length of the arc is less than half the circumference , it is called minor arc and remaining portion which is more than half of the circle ( but natural ) is called major arc .
When these two points , which make the arc are joined separately to the centre of circle , these arms make angle at the centre . This is called the angle subtended by the arc at the centre of the circle .
There is a beautiful logical relation exists between arc length and the angle , the arc makes ( subtends ) at the centre of the circle . This relation is as under , the wholle circle subtends an angle of 360 degree at the centre . Half the circumference subtendr 360 / 2 ie 180 degree at the centre . The logical relation becomes Arc Length = Circumference × angle in degrees it ( the arc ) subtends at the centre of the circle / 360 degree . So the answer is very simple :- The Arc Length = 36 × 90 / 360 or 9 units ( may be centimetres or metres or inches , feet , yards , etc ) . Which is definitely length of the minor arc . The length of the major arc ( remaining portion of the circumstance ) is 36 - 9 = 27 units . Hence the required answer of the sum is 9 units .
