At y intercept, the co-ordinates are;
(0, -3) and the second point is (3,0)
Gradient, m=
![\frac{change in y}{change in x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bchange%20in%20y%7D%7Bchange%20in%20x%7D%20)
m=
![\frac{0--3}{3-0}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0--3%7D%7B3-0%7D%20)
m=
![\frac{3}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B3%7D%20)
m=1
y=x+c
Replacing for x and y using point (3, 0);
0=3+c
c=-3
y=x-3
2) c
3) d
4) a
5) d
6) c
7) a
8) b
Answer:
The probability of the occurring the event is 0.01632 approximately
Step-by-step explanation:
Consider the provided information.
We have selected 5 red candies and no green ones. Let's say there were 6 green and 7 red candies in the bowl before discovery.
Therefore the total number of candies are 6+7=13
I have selected 5 red candies out of 7 red candies.
Thus, the probability of selecting 5 red candies and no green candies is:
![\frac{^7C_5\times ^6C_0}{^{13}C_5}](https://tex.z-dn.net/?f=%5Cfrac%7B%5E7C_5%5Ctimes%20%5E6C_0%7D%7B%5E%7B13%7DC_5%7D)
![\frac{\left(\frac{7!}{5!2!}\cdot\frac{6!}{6!}\right)}{\frac{13!}{5!8!}}\approx 0.01632](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%28%5Cfrac%7B7%21%7D%7B5%212%21%7D%5Ccdot%5Cfrac%7B6%21%7D%7B6%21%7D%5Cright%29%7D%7B%5Cfrac%7B13%21%7D%7B5%218%21%7D%7D%5Capprox%200.01632)
Hence, the probability of the occurring the event is 0.01632 approximately
Answer:
The null hypothesis should be ![H_0: \mu = 12](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2012)
The alternate hypothesis should be ![H_1: \mu \neq 12](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu%20%5Cneq%2012)
Step-by-step explanation:
You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.
At the null hypothesis, we test if the sugar content is the same labeled, that is:
![H_0: \mu = 12](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2012)
At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.
![H_1: \mu \neq 12](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu%20%5Cneq%2012)
Answer:
Step-by-step explanation:
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