Answer:
|x − 0.5| = 0.05
Step-by-step explanation:
Here x represents the diameter,
Since, an error of 0.05 millimeters is allowance in diameter,
Thus, the maximum acceptable diameter = x + 0.05,
And, the minimum acceptable diameter = x - 0.05
According to the question,
The holes will have a diameter of 0.5 millimeters,
Thus, x - 0.05 < 0.5 and 0.5 < x + 0.05
⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05
⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05
⇒ |x-0.5| < 0.05
⇒ Option D is correct.
Answer:
I believe it is cube A
Step-by-step explanation:
the volume of Cube B equaled 2073.6 in for me. so it would be less than cube A
The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
Read more about standard deviation at
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The solution to the problem is as follows:
let
R = $619.15 periodic payment
i = 0.0676/12 the rate per month
n = 48 periods
S = the future value of an ordinary annuity
S = R[((1 + i)^n - 1)/i]
S = 619.15*[(1 + 0.0676/12)^48 - 1)/(0.0676/12)]
S = $34,015.99
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
9x+14y
Step-by-step explanation:
First Multiply the number outside of the brackets with the numbers inside the brackets. Ex:3 x 3x and 3 x -y
17y-2x+3(3x-y)+2x
That should get you to this.
17y-2x+9x-3y+2x
Next combine like terms.
14y+9x
Hope this helps!
