Answer:
a > 12
Step-by-step explanation:
To ride the go karts you need to be OVER 12 years old. We are going to use < and > because you can't be 12 and younger. The hint is OVER because this essentially means that the variable a HAS to be bigger than 12. Thus is why the ineuality is a > 12.
Best of Luck!
Answer:
138.5°
Step-by-step explanation:
Since the peach pie is a circle, we have a total angle of 360°.
We need to determine what fraction of the total pie of 13 peaches is the 5 peaches contained in Joe's slice.
This is number of peaches in Joe's slice/total number of peaches in pie = 5/13. To find the angle Joe's slice measures, we multiply 5/13 by 360°.
So, 5/13 × 360°
= 0.3846 × 360°
= 138.46°
≅ 138.5° to the nearest tenth of a degree
Answer:
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
Step-by-step explanation:
We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.
The probability of k online retail orders that turn out to be fraudulent in the sample is:
We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:
![P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483](https://tex.z-dn.net/?f=P%28x%5Cgeq2%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%5D%5C%5C%5C%5C%5C%5CP%28x%3D0%29%3D%5Cdbinom%7B20%7D%7B0%7D%5Ccdot0.08%5E%7B0%7D%5Ccdot0.92%5E%7B20%7D%3D1%5Ccdot1%5Ccdot0.189%3D0.189%5C%5C%5C%5C%5C%5CP%28x%3D1%29%3D%5Cdbinom%7B20%7D%7B1%7D%5Ccdot0.08%5E%7B1%7D%5Ccdot0.92%5E%7B19%7D%3D20%5Ccdot0.08%5Ccdot0.205%3D0.328%5C%5C%5C%5C%5C%5C%5C%5CP%28x%5Cgeq2%29%3D1-%5B0.189%2B0.328%5D%5C%5C%5C%5CP%28x%5Cgeq2%29%3D1-0.517%3D0.483)
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
1/10 x 90 I think that's the answer
Answer:
25%
Step-by-step explanation:
9/12 = 3/4
1/4 (the months he wasn't working) = 25%
