![6(x - \frac{7}{6} ) = 6 x - 7 \\ 6x - 7 = 6x + ( - 7)](https://tex.z-dn.net/?f=6%28x%20-%20%5Cfrac%7B7%7D%7B6%7D%20%29%20%3D%206%20x%20-%207%20%5C%5C%206x%20-%207%20%3D%206x%20%2B%20%28%20-%207%29)
The answer is the third option, -7.
Hope this helps.
Answer:
Step-by-step explanation:
Okay so I will explain the first one.
2 to the power of 4 = 2x2x2x2
2 to the power of 6 = 2x2x2x2x2x2
2 to the power of 4 = 2x2x2x2
2^4 = 16
2^6 = 64
When you are multiplying powers you add.
+
When you subtract you takeaway.
-
So you would do
4+6+4
= 14
Meaning 2 to the power of 14
2![x^{14}](https://tex.z-dn.net/?f=x%5E%7B14%7D)
So what is 2 to the power of 14.
You would do
2x2x2x2x2x2x2x2x2x2x2x2x2x2
The answer is 16384
You can also use a calculator
GOOD LUCK FOR YOUR TEST!
Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
![\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28k%2Cn%2Cp%29%3D%5Cbinom%7Bn%7D%7Bk%7Dp%5Ekq%5E%7Bn-k%7D)
Where ![q = 1-p](https://tex.z-dn.net/?f=q%20%3D%201-p)
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
![\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%283%2C10%2C0.1%29%3D%5Cbinom%7B10%7D%7B3%7D0.1%5E30.9%5E%7B10-3%7D)
![\boxed{P=0.057}](https://tex.z-dn.net/?f=%5Cboxed%7BP%3D0.057%7D)
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation: