Answer:
550
Step-by-step explanation:
165 x 100= 16500/30=550
Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
Answer:
3x2-3x+9
Step-by-step explanation:
(h-k)(3)
(X2+1-(x-2))(3)
(x2+1-x+2)(3)
3x2+3-3x+6
3x2-3x+9
Explanation:
As his uniform is made up of tan or blue pants and a blue or white collared shirt.
So, there are possibly four combinations which are as follows:
- tan pants/blue shirt
- tan pants/white shirt
- blue pants/blue shirt
- blue pants/white shirt
As Benjamin carries an extra piece of white shirt. So, he has a little bit better than 25% chance of wearing his favorite combination.
So,
- Probability of getting tan pants = 2/4 = 1/2
- Probability of getting white shirt = 3/5
The probability of getting both can be computed by simply multiplying 2/4 and 3/5.
So,
- Probability of getting both = 1/2 × 3/5 = 3/10 ⇒ 30%
<em>Keywords: probability, chance</em>
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It is 18 because the radius is half the diameter and 9 x 2 = 18.
