The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
( 
)
25 + ( 
+ 1 - 2x ) =
25 + 1 -2x = 0 ( ∵ Eliminate in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Answer:
18149.20
Step-by-step explanation:
We know that, Amount in Compound interest is given by :
Given : Principal = $2000
Given : Annual yield is 5% and the interest is compounded quarterly
It means : Interest is compounded 4 times in a year
Substituting all the values in the formula, we get :
Answer:
And we can find this probability with this difference:
And if we use the normal standard distribution or excel we got:
Step-by-step explanation:
Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using this formula we got:
And we can find this probability with this difference:
And if we use the normal standard distribution or excel we got:
Answer: A and C
Explanation: 6766 x 1/4 = 1,691.5, 6766 x 1/2 = 3383
Hope this helps
