The answer is -48. Here is how to solve!
Step-by-step explanation:
![\frac{12 {x}^{4} }{4 {x}^{16} } = \frac{4 \times 3}{4 \times {x}^{16 - 4} } = \frac{3 }{ {x}^{12} } \\ \\ so \: \frac{3 }{ {x}^{12} } \: is \: equivalent \: fraction \: \\ of \: \frac{12 {x}^{4} }{4 {x}^{16} } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%20%7Bx%7D%5E%7B4%7D%20%7D%7B4%20%7Bx%7D%5E%7B16%7D%20%7D%20%20%3D%20%20%5Cfrac%7B4%20%5Ctimes%203%7D%7B4%20%5Ctimes%20%20%7Bx%7D%5E%7B16%20-%204%7D%20%7D%20%20%3D%20%20%5Cfrac%7B3%20%7D%7B%20%7Bx%7D%5E%7B12%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20so%20%5C%3A%20%5Cfrac%7B3%20%7D%7B%20%7Bx%7D%5E%7B12%7D%20%7D%20%5C%3A%20is%20%5C%3A%20equivalent%20%5C%3A%20fraction%20%5C%3A%20%20%5C%5C%20of%20%5C%3A%20%20%5Cfrac%7B12%20%7Bx%7D%5E%7B4%7D%20%7D%7B4%20%7Bx%7D%5E%7B16%7D%20%7D%20%5C%5C%20)
Answer:
a.
Step-by-step explanation:
Probability that is a AB type blood given is a Male
P(AB/M) = 42/500 = 21/250
Probability that they are Male with an AB type blood out of all AB type blood people = Probability that is a Male out of all students
P(M∩AB) = P(M)
(42/105) = (500/1,250)
.4 = .4 ✅
The events "the student is male" and "the student has blood type AB" are independent events.
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications