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:
a
Step-by-step explanation:
just did it and got right
9514 1404 393
Answer:
A) $1350
B) $5850
C) $162.50
Step-by-step explanation:
A) The interest is given by the formula ...
I = Prt
where P is the principal amount, r is the interest rate, and t is the number of years.
I = $4500×0.10×3 = $1350
The interest owed is $1350.
__
B) At maturity, the principal and interest are due. That amount is ...
$4500 +1350 = $5850
The maturity value is $5850.
__
C) If the maturity value is paid in 36 equal monthly installments, each is ...
$5850/36 = $162.50
The monthly payment is $162.50.
Rewrite it as 5x^2 -20x-3x+12
then (5x^2 -20x)(-3x+12)
then use gcf and u will get the answer in a binomial form
Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
