Answer:

Step-by-step explanation:
Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.
Let
be the length of half of the chord. See diagram in attachment.
Then from Pythagoras Theorem,




We take the positive square root of both sides to obtain,

The length of the chord is

The correct answer is A
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:
(
x
^2
+
8
)
(
2
x
−
1
)
(
x
+
2
)
Step-by-step explanation:
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x and b
=
1
(
x
^2
+
8
)
(
2
x
−
1
)
(
x
+
2
)
Glad I was able to help!!
Answer:
y = -5
Step-by-step explanation:
yeah-ya....... right?
Answer:
5
Step-by-step explanation:
1. in order to calculate all the required values, it needed to solve:

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.