Answer:
8x-14=8x-14
Step-by-step explanation:
So if both the equations are the same, that means that any value of x put in the equation will equal itself, so that means that there are infinite solutions to the equation
If you try to solve this equation, this happens
8x-14=8x-14
add 14 to both sides
8x=8x
divide by 8 both sides
x=x
This means that there are infinite solutions because any number could be x and it would still work
Answer:
<h3>x^3</h3>
Step-by-step explanation:
We are to find the greatest common factor of x^7, x^3 and x^5
x^7 = x^3 * x^4
x^3 = x^3 * 1
x^5 = x^3 * x^2
From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3
Answer:
Warranty of 66 months.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

If the company wants no more than 2% of the components to wear out before they reach the warranty date, what number of months should be used for the warranty?
Only the lowest 2% will be replaced, so the warranty is the value of X when Z has a pvalue of 0.02. So it is X when Z = -2.055.




Warranty of 66 months.
3x^2 = 7x - 3
3x^2 - 7x = -3
x^2 - 7/3x = -1
x^2 - 7/3x + 49/36 = -1 + 49/36 = 13/36
(x - 7/6)^2 = 13/36
x - 7/6 = + or - sqrt(13)/6
x = 7/6 + or - sqrt(13)/6
x = (7 + or - sqrt(13))/6
Surface area of cylinder = 2πr² + 2πrh
r=14/2=7 cm
h=22 cm
Surface area of cylinder = 2*π*7² + 2π*7*22 = 98π + 308π = 406π ≈ 3.14*406 =
=<span>1274.84 </span>≈ 1275 cm²
Answer is A. 1275 cm².