Answer:
6660 yards^2
Step-by-step explanation:
Assumption: the field is 120 yards long and 50 yards wide.
First calculate the area of the field: 120*50 = 6000 yards^2
Then, calculate the 11% of that area: 6000 yards^2*11/100 = 660 yards^2
Finally, the area of the tarp material should be 6000 yards^2 + 660 yards^2 = 6660 yards^2
Answer:
5.80% probability that exactly 1 resume will be from females.
Step-by-step explanation:
For each resume received by the corporation, there are only two possible outcomes. Either they are from a female, or they are not. The probability of a resume received being from a female is independent from other resumes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
22% of all resumes received by a corporation for a management position are from females.
This means that ![p = 0.22](https://tex.z-dn.net/?f=p%20%3D%200.22)
18 resumes will be received tomorrow.
This means that ![n = 18](https://tex.z-dn.net/?f=n%20%3D%2018)
What is the probability that exactly 1 resume will be from females?
This is P(X = 1).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 1) = C_{18,1}.(0.22)^{1}.(0.78)^{17} = 0.0580](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B18%2C1%7D.%280.22%29%5E%7B1%7D.%280.78%29%5E%7B17%7D%20%3D%200.0580)
5.80% probability that exactly 1 resume will be from females.
Answer:
150
Step-by-step explanation:
150+30=180 (180= straight line)
A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented the following equation:
y = kx
<u>Where:</u>
- y and x are the variables.
- k represents the constant of proportionality.
Since the recipe ingredients remain in a constant ratio, we have:
k = y/x
For table 1, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 4/3.
For table 2, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 8/3.
For table 3, we have:
k = 2/1 = 2.
k = 3/2 = 1.5.
k = 5/3.
For table 4, we have:
k = 2/1 = 2.
k = 4/2 = 2.
k = 6/3 = 2.
In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.
Read more on proportionality here: brainly.com/question/12866878
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