Answer:
Prime factorization: 56 = 2 x 2 x 2 x 7, which can also be written 56 = 2³ x 7
Step-by-step explanation:
56 = 2³ x 7
Answer:
Step-by-step explanation:
y = csc x
y' = -cot x csc x
![y' = \dfrac{d}{dx} [\csc \sqrt{x}]](https://tex.z-dn.net/?f=%20y%27%20%3D%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%5Ccsc%20%5Csqrt%7Bx%7D%5D%20)
Answer:
1/18
Step-by-step explanation:
We are considering that we have 2 dices with 6 faces each (so, the probability to gettig any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:
Dice 1= 6 and Dice 2 =5
or
Dice 1= 5 and Dice 2 =6
So, the probability of the event is given as:
P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.
As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).
The answer is Mary, Mary got 88% Ben got 86% and Jim got 85%
Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
