Answer:
The probability is 
The company will accept 90.72% of the shipment and will reject 
of the shipment , so many of the shipment are rejected
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is 
Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as
![P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20P%28X%20%3D%20%200%20%29%20%2B%20%20P%28X%20%3D%20%201%20%29%20%2B%20P%28X%20%3D%200%29%5D)
=> ![P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B%5E%7Bn%7DC_0%20%2A%20%28p%29%5E%7B0%7D%20%2A%281-p%29%5E%7Bn-0%7D%20%5D%20%2B%20%20%5B%5E%7Bn%7DC_1%20%2A%20%28p%29%5E%7B1%7D%20%2A%281-p%29%5E%7Bn-1%7D%20%5D%20%2B%20%20%5B%5E%7Bn%7DC_2%20%2A%20%28p%29%5E%7B2%7D%20%2A%281-p%29%5E%7Bn-2%7D%20%5D%5D)
Here C stands for Combination (so we will be making the combination function in our calculators )
So
=> ![P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B%5E%7B36%7DC_0%20%2A%20%280.03%29%5E%7B0%7D%20%2A%281-0.03%29%5E%7B36-0%7D%20%5D%20%2B%20%20%5B%5E%7B36%7DC_1%20%2A%20%280.03%29%5E%7B1%7D%20%2A%281-0.03%29%5E%7B36-1%7D%20%5D%20%2B%20%20%5B%5E%7B36%7DC_2%20%2A%20%280.03%29%5E%7B2%7D%20%2A%281-0.03%29%5E%7B36-2%7D%20%5D%5D)
=> ![P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]]](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%20%5B%20%5B1%20%2A%201%20%2A%200.3340%20%20%5D%20%2B%20%20%5B36%2A%200.03%20%2A0.3444%20%5D%20%2B%20%20%5B630%20%2A%200.0009%20%2A%280.355%20%5D%5D)
=>
The company will accept 90.72% of the shipment and will reject of the shipment , so many of the shipment are rejected
Answer:
$4.74
Explanation:
Adam starts with $75, but spends $70.26.
You can set up a subtraction equation to get your answer.
75 - 70.26 = 4.74
Answer: School Y has 4 points and School X has 12 points.
Explanation:
Let the number of points School Y has be x
Let the number of points School X has be 3x
According to question, we get
So, the number of point School Y has 4.
and number of points School X has
Hence, School Y has 4 points and School X has 12 points.
It would be 270,725. The last choice.
In the proportional theory,
28 units is the total measurement that includes 8 units.
So, 10 + 3x - 5 is the total measurement that includes 10 units proportionally.
This means,
28 = 10 + 3x - 5
Now solve for x,
28 = 10 + 3x - 5
28 - 10 = 3x - 5
18 + 5 = 3x
23 = 3x
23 / 3 = x
So x = 23/3 or 7.6666....
