First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,
Slope = (y2 - y1) / (x2 - x1)
(2, 3) - 2 is x1 and 3 is y1
(-1, -12) -1 is x2 and -12 is y2
Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5
Now the equation of our line is: y = 5x + b
Let's plug one of our points into this equation to solve for b.
3 = 5(2) + b
3 = 10 + b
Subtract 10 from both sides.
-7 = b
The equation of our line is: y = 5x - 7
If radius = 5.4 then circle circumference = 5.4*2*PI =
<span>
<span>
<span>
33.9292</span></span></span>
60 degrees is one sixth of a circle so the arc length = 33.9292 / 6
So the arc length =
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<span>
5.654</span></span></span>9 m
Based on the characteristics of the distribution, the probability that the first goal is scored in less than 4 minutes is 0.
<h3>What is the probability?</h3>
For us to be able to calculate the probability that the first goal is scored in less than 4 minutes, the distribution needs to satisfy the requirements of the Central Limit Theorem(CLT).
Based on the fact that the distribution here is extremely right skewed, then it does not satisfy the requirements of CLT so the probability is 0.
First part of question:
The distribution of the time it takes for the first goal to be scored in a hockey game is known to be extremely right skewed with population mean 12 minutes and population standard deviation 8 minutes.
Find out more on the requirements of the Central Limit Theorem at brainly.com/question/18403552
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Answer:
30th term is
9(30+3) =270+27=297
to find the first term which is larger than 100
9(n+3) =100
9n=100-27
9n=73
n=73÷9
=8.1
so when n is>8.1 all the terms will be larger than 100 and the first term will be 9 since n can't be fraction as it's an ordinary number
so it's 9th
9(9+3) =81+27=108
the first four terms are
9(1+3) =36
9(2+3) =45
9(3+3) =81
9(4+3) =63
Step-by-step explanation:
n(n-1)
the first four terms are
1(1-1) =0
2(2-1) =2
3(3-1) =6
4(4-1) =12
the 10th term is 10(10-1) =90
to find weather 51 is a term or not
n(n-1) =51
n^2-n-51=0
1-4×1×-51=1+204=205
so it's roots will be fraction
so it's not from its terms because n will
be fraction
to find the term 182
n(n-1) =182
n^2-n-182=0
(n-14) (n+13)=0
so it's the term 14th because n can't be negative
Answer:
A. 5
Step-by-step explanation:
PQ + QR + RS = PS
2x - 6 + 1 + x - 4 = 18
3x - 9 = 18
3x = 27
x = 9
RS = x - 4
RS = 9 - 4
RS = 5