Answer:
The nth term for the given sequence can be written as:
Step-by-step explanation:
Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:
7 + 6 = 13
13 + 6 = 19
19 + 6 = 25
Then, using the general expression for the nth term of an arithmetic sequence of first term "" and common difference "<em>d</em>" we can write the nth term as:
which in this case translates as:
Answer:
eighty-nine and thirty-six hundredths
or, simpler:
eighty-nine point thirty-six
or, even simpler:
eighty-nine point three six
Y=mx+b
B is the y intercept
M is the slope
Answer:
A
Step-by-step explanation:
Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as <u>normalcdf(-999, 2) = .977</u>
So 97.7% of people had a score lower than Carlos!
.977 * 1.5 million = 1,465,500 people
- Find square root of 144 by factorisation method.
We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.
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To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).
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Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.
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Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 = ⇨ square root of 144.
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- The square root of 144 is <em><u>12</u></em>.