Step-by-step explanation:
the correct formula for this is the heron's formula
which states that s=√s(s-a)(s-b)(s-c). Where s is a+b+c all divided by 2
s=√(13.5-12)(13.5-9)(13.5-6)
s=√(1.5)(4.5)(7.5)
s=√50.625
s= 7.11 or 7 to the nearest square unit
Answer:
1. 20, 10, 5, 4, 2
2. 20
2nd page
Common factors of 12,48
2,3,4,6,12
GCF:12
Common factors of 12,72
2,3,4,,6,12
GCF:12
Common factors of 72,48
2,3,4,6,8,12,24
GCF:24
Common factors of 12,48,72
2,4,6,12
GCF:12
Last page is
D I think I am not sure
Answer:
The probability is ![P(X \le 2 ) = 0.9072](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%200.9072)
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 ![p = 0.03](https://tex.z-dn.net/?f=p%20%3D%20%200.03)
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)
=>![P(X \le 2 ) = 0.9072](https://tex.z-dn.net/?f=P%28X%20%20%5Cle%202%20%29%20%3D%200.9072)
The company will accept 90.72% of the shipment and will reject
of the shipment , so many of the shipment are rejected
Given:
Jamie receives 15% commission on magazine subscriptions.
One week her sales totaled $860.
To find:
Her commission.
Solution:
We have,
Total sales of one week = $860
Rate of commission = 15%
Now,
![Commission=\dfrac{15}{100}\times 860](https://tex.z-dn.net/?f=Commission%3D%5Cdfrac%7B15%7D%7B100%7D%5Ctimes%20860)
![Commission=\dfrac{15}{10}\times 86](https://tex.z-dn.net/?f=Commission%3D%5Cdfrac%7B15%7D%7B10%7D%5Ctimes%2086)
![Commission=\dfrac{1290}{10}](https://tex.z-dn.net/?f=Commission%3D%5Cdfrac%7B1290%7D%7B10%7D)
![Commission=129](https://tex.z-dn.net/?f=Commission%3D129)
Therefore, the amount of commission is $129.
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Learn more: brainly.com/question/14355665