Nope. Perimeter = sum of all sides
P = 20 + 11 + 20 + 11 = 62 and not 64
So, it is not possible.
Answer:
Step-by-step explanation:
We have to perform one sample proportion test. To do so we have to proceed through following steps.
(1) We have to collect data about vehicle sales in last 20 years.
(2) Using random number table or random number generator or otherwise we have to select sample of vehicles from the list of sale. In this step, we have to keep an eye on the fact that sample is to be selected from all years (all of 20). Using stratified random sampling by dividing vehicles sold over different years is an effective way to do so. That means, we may divide vehicles sold into 20 homogeneous strata over 20 years and select sample from each strata.
(3) After selecting sample of vehicles we have to communicate to corresponding vehicle owners to gather information about that particular vehicle.
(4) We have to note number of vehicles which are still on the road.
Suppose, we have selected n vehicles as sample and after communicating we found that \tiny r of those are still on the road.
We have to test for null hypothesis 
against the alternative hypothesis 
Our test statistic is given

here,



We then calculate corresponding p-value.
We reject our null hypothesis if
, level of significance.
According to our obtained p-value and level of significance we proceed to certain conclusion.
Given cos theta is equal to - 4/ 7 then we can conclude that theta is in the second and third quadrants. In this case, the other leg is equal to square root of (7^2 - 4^2 ) equal to square root of 33. In this case, sin theta can be equal to +- square root of 33 / 7 and tan theta is equal to +-square root of 33 / 4.
<h3>
Answer: 6 ounces</h3>
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Work Shown:
(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)
6/4 = 8/x
6*x = 4*8
6x = 32
x = 32/6
x = 5.333 approximately
x = 6 we round up despite 5.333 being closer to 5, than it is to 6.
If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.
The section below goes over why this is the case in more detail.
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6 servings : 4 ounces
6/4 servings : 4/4 ounces
1.5 servings : 1 ounce
So one ounce of sauce gets us 1.5 servings.
If we multiply both sides by 5, then,
1.5 servings : 1 ounce
5*1.5 servings : 5*1 ounce
7.5 servings : 5 ounces
This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.
If we multiplied both sides by 6, then
1.5 servings : 1 ounce
6*1.5 servings : 6*1 ounce
9 servings : 6 ounces
This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.