Giovanni was playing with blocks and started with one blue triangular block and kept adding more
1 answer:
Blocks would he need on the 12th step of the pattern is 34.
The correct option is A
<h3></h3><h3>What is series?</h3>A series is the cumulative sum of a given sequence of terms.
Given:
We can write the series as follows:
1,4,7,10,13,.......
First term =1
common difference= 4-1=3
Using Arithmetic series
= a+11d
= 1 +11*3
= 1+33
= 34.
Hence, 34 blocks need on 12th step.
Learn more about arithmetic series here:
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Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:
<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
Answer:
(22.12, 27.48)
Step-by-step explanation:
Given : Significance level :
Sample size : n= 8 , which is a small sample (n<30), so we use t-test.
Critical values using t-distribution:
Sample mean :
Standard deviation :
The confidence interval for population means is given by :-
i.e.
Hence, the 95% confidence interval, assuming the times are normally distributed.= (22.12, 27.48)