Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
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:
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:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
The example is 1 x (9 x 5) = 45
Using the associative property of multiplication, we basically rearrange the parenthesis to group the first two terms like so: (1 x 9) x 5
So this is why choice D (1 x 9) x 5 = 45 is the answer
This means that 1 x (9x 5) = (1 x 9) x 5 is a true equation
F(x)=2+3sin(theta)
f'(x)=3cos(theta)
To find the slope you need the value of theta. The general formula is:
y-f(xo)=f'(xo)-(x-xo)
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The safest water level is between 7.2 and 7.8
Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as
Here
Generally 
So
=> 
From the z-table the probability of (Z < -1.5) and ( Z <1.5) are
and
So
So
=>
