Answer:
A) 0.26
B) 0.42
Step-by-step explanation:
No. of cars which needed both:
92 + 136 - (200 - 24)
52
P(both) = 52/200 = 0.26
No. of cars that need an alternator, but not new brakes:
136 - 52
84
P = 84/200 = 0.42
Answer:
Nothing
Step-by-step explanation:
There are no numbers that when multiplied will equal 8, and can be added to equal 12.
If
![d](https://tex.z-dn.net/?f=d)
is the common difference between terms in the sequence
![\{a_n\}](https://tex.z-dn.net/?f=%5C%7Ba_n%5C%7D)
, then
![a_1=-21](https://tex.z-dn.net/?f=a_1%3D-21)
![a_2=a_1+d=-21+d](https://tex.z-dn.net/?f=a_2%3Da_1%2Bd%3D-21%2Bd)
![a_3=a_2+d=-21+2d](https://tex.z-dn.net/?f=a_3%3Da_2%2Bd%3D-21%2B2d)
...
![a_n=a_{n-1}+d=\cdots=-21+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_%7Bn-1%7D%2Bd%3D%5Ccdots%3D-21%2B%28n-1%29d)
You're told that
![S_{16}=-288](https://tex.z-dn.net/?f=S_%7B16%7D%3D-288)
(the sum of the first 16 terms in the sequence, presumably). Well, we know that
![S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B16%7Da_n%3D%5Csum_%7Bn%3D1%7D%5E%7B16%7D%28-21%2B%28n-1%29d%29)
![S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cdisplaystyle%28-21-d%29%5Csum_%7Bn%3D1%7D%5E%7B16%7D1%2Bd%5Csum_%7Bn%3D1%7D%5E%7B16%7Dn)
Recall that
![\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5Ekn%3D%5Cfrac%7Bk%28k%2B1%29%7D2)
so that we have
![-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25](https://tex.z-dn.net/?f=-288%3D16%28-21-d%29%2B%5Cdfrac%7B16%2816%2B1%29%7D2d%5Cimplies%20d%3D%5Cdfrac25)
So we get
Answer:
X = 4
Y = 30
i think.
Step-by-step explanation:
Answer:
Pennsylvania State Flag
Step-by-step explanation:
just did a reverse image search