Pinpoint the ten's place.
look at the one's place. It is a digit ≥5, round up. If it is digit <5, round down.
all the digits to the right of the ten's place becomes 0.
for example, if you are given $216.23, the ten's place is a 1. Look at the number to the right of it, the one's place is a 6, bigger than 5, so you round up, the 1 becomes a 2. the result is $220.00
if you are given $214.23, the 1 stays a 1 because 4 is smaller than 5, the result is $210.00
Answer:
Step-by-step explanation:
x = number of pushups he did
Answer:
(4d - 3e)(10d - 3e)
Step-by-step explanation:
(4d - 3e)² + 6d(4d - 3e) ← factor out (4d - 3e) from each term
= (4d - 3e)(4d - 3e + 6d) ← collect like terms inside parenthesis
= (4d - 3e)(10d - 3e)
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean :
Standard deviation:
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x:
At x= 0.75,
Using standard normal table for z-value,
P-value :
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%