<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)
So, dr/dx x dr/dy = (2x, 2y, 1)
So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>
Answer: Inferential.
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population.
If the results of a survey were claimed to indicate that 7.8% of adults in this country who own digital cameras plan to replace their cameras in the next 12 months. would you say this statement is descriptive or inferential, why?
Step-by-step explanation:
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population. this claim requires an inference to the population. For example, you might stand in a mall and ask a sample of 200 people if they like shopping at ShopRite. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 50-75% of the population (all shoppers in malls) like shopping at ShopRite.
Nikita's distance from her for the second part of the race was 1.5 kilometers.
Since Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand, and in the first part of the race, her average speed was 8.75 kilometers per hour, while for the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour, to determine which expression represents Nikita's distance for the second part of the race the following calculation must be performed:
- 8.75 x 0.65 + 6 x 0 = 5.68
- 8.75 x 0.50 + 6 x 0.15 = 5.275
- 8.75 x 0.40 + 6 x 0.25 = 5
-
100 = 60
- 40 = X
- 40 x 60/100 = X
- 24 = X
- 39 - 24 = 15
- 15 = 1/4 hour
- 6/4 = 1.5
Therefore, Nikita's distance from her for the second part of the race was 1.5 kilometers.
Learn more about maths in brainly.com/question/22791791
To solve this problem you must follow the proccedure shown below:
1. You have the following information given in the problem above:
- <span>Marta is making 3 servings of fruit salad.
- Marta adds 3/8 cups blueberries for each serving.
- Her measuring cup holds 1/8 cup.
2. Then, you have:
1 time----1/8 cup
x----3/8 cups
x=(3/8)/(1/8)
x= 3x8/1x8
x=24/8
x=3 times
H</span><span>ow many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?
The answer is: 3 times</span>
<span>a. m∠L=58.1m∠L=58.1, m∠T=88.5m∠T=88.5, m∠D=33.4m∠D=33.4</span>
