Step-by-step explanation:
O sea que nada más la tarea pregúntale la pulsera o es algo que se siente
Answer:
14x>200+5.5, She must sell 15 or more vases
Step-by-step explanation:
14x>200+5.5
14x>200+5.5
14x>205.5
x>14.68*
She must sell 15 or more vases
*You round up because you cannot sell a partial vase
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
I am not quite sure what the question asks for,
But this is what i assume it wants:
Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
![cos^{-1}](https://tex.z-dn.net/?f=%20cos%5E%7B-1%7D%20)
: It looks like this in the calculator
![cos^{-1}](https://tex.z-dn.net/?f=%20cos%5E%7B-1%7D%20)
× cos A=
![cos^{-1}](https://tex.z-dn.net/?f=%20cos%5E%7B-1%7D%20)
(0.6489)
(
![cos^{-1}](https://tex.z-dn.net/?f=%20cos%5E%7B-1%7D%20)
and cos cancels out)
A=
![cos^{-1}](https://tex.z-dn.net/?f=%20cos%5E%7B-1%7D%20)
(0.6489)
A=49.54°
check:
cos 49.54=0.6489 (its right!)
Answer:
0.3009 is the probability that the applicant has graduate degree given he is a male.
Step-by-step explanation:
We are given he following in the question:
M: Applicant is male.
G: Applicant have a graduate degree
Total number of applicants = 450
Number of male applicants = 206
![n(M) = 206](https://tex.z-dn.net/?f=n%28M%29%20%3D%20206)
Number of applicants that are male and have a graduate degree = 62
![n(M\cap G) = 62](https://tex.z-dn.net/?f=n%28M%5Ccap%20G%29%20%3D%2062)
![P(M) = \dfrac{206}{450} = 0.4578](https://tex.z-dn.net/?f=P%28M%29%20%3D%20%5Cdfrac%7B206%7D%7B450%7D%20%3D%200.4578)
![P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378](https://tex.z-dn.net/?f=P%28M%5Ccap%20G%29%20%3D%20%5Cdfrac%7Bn%28M%5Ccap%20G%29%7D%7Bn%7D%20%3D%20%5Cdfrac%7B62%7D%7B450%7D%20%3D%200.1378)
We have to find the probability that the applicant has graduate degree given he is a male.
![P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009](https://tex.z-dn.net/?f=P%28G%7CM%29%20%3D%20%5Cdfrac%7BP%28G%5Ccap%20M%29%7D%7BP%28M%29%7D%20%3D%20%5Cdfrac%7B%5Cfrac%7B62%7D%7B450%7D%7D%7B%5Cfrac%7B206%7D%7B450%7D%7D%20%3D%20%5Cdfrac%7B62%7D%7B206%7D%20%3D%200.3009)
Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.