Answer:
Yes because they have the same slope of 3/2
Step-by-step explanation:
The slope of PQ is ...
(10 -7)/(2 -0) = 3/2
The slope of RS is ...
(8 -5)/(0 -(-2)) = 3/2
The slopes are the same (3/2), so the lines are parallel.
The value of m is 6.
<h2>Power</h2>
A power denotes the number of times a number is been multiplied by itself. For example,
6² = 6 x 6 = 36,
4³ = 4 x 4 x 4 = 64
2³ = 2 x 2 x 2 = 8
(4²)³ =
=
=
= 4096
<h3>Given to us,</h3>
![36^{(12-m)}=6^{2m}](https://tex.z-dn.net/?f=36%5E%7B%2812-m%29%7D%3D6%5E%7B2m%7D)
As we know 6²=36, thus we can write it as,
![36^{(12-m)}=6^{2m}\\6^{2(12-m)}=6^{2m}\\](https://tex.z-dn.net/?f=36%5E%7B%2812-m%29%7D%3D6%5E%7B2m%7D%5C%5C6%5E%7B2%2812-m%29%7D%3D6%5E%7B2m%7D%5C%5C)
As the bases on both the sides are equal, comparing the order(power) of both the sides,
![2(12-m)=2m\\12-m = m\\12 =m+m\\2m=12\\m=\frac{12}{2}=6](https://tex.z-dn.net/?f=2%2812-m%29%3D2m%5C%5C12-m%20%3D%20m%5C%5C12%20%3Dm%2Bm%5C%5C2m%3D12%5C%5Cm%3D%5Cfrac%7B12%7D%7B2%7D%3D6)
Hence, the value of m is 6.
To know more visit:
brainly.com/question/573366
We need to find the probability of atleast one failure in 5 trails
Probability of success = 30% = 3/10
The opposite meaning of atleast one failure is all success (no failures)
Probability of (atleast one failure ) = 1- Probability ( success)
First we find probability of success
Formula for binomial distribution
![nCr(p)^r (q)^{n-r}](https://tex.z-dn.net/?f=%20nCr%28p%29%5Er%20%28q%29%5E%7Bn-r%7D%20)
All success so n=5, r=5, p= 3/10, q= 1-p = 7/10
Probability (success) =
= ![(\frac{3}{10}) ^ 5](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B3%7D%7B10%7D%29%20%5E%205%20)
Probability (atleat one failure) = 1 - ![(\frac{3}{10}) ^ 5](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B3%7D%7B10%7D%29%20%5E%205%20)
= 0.92224
= 92.2%
YES THERE IS A TRANSFORMATION
Answer:
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