Answer: There are 6046 digits will be written on expansion upto 2015th power.
Step-by-step explanation:
Since we have given that

We have to find the number of digits ,
So,

Since we know that

so,

Hence, there are 6046 digits will be written on expansion upto 2015th power.
<span>3x^2 + 16x + 9 −16x − 12
= 3x^2 - 3
hope it helps</span>
Polynomials in the fourth degree are called quartic equations. In solving the roots of polynomials, there are techniques available. For quadratic equations, you use the quadratic formula. For cubic equations, you use the scientific calculator. But for quartic equations and higher, it is very complex. The method is very lengthy and can get very messy because you introduce a lot variables. So, I suggest you do the easiest method to estimate the roots.
Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are
-3.73, -1, -0.28 and 2.
Step-by-step explanation:
1/2 x + 1/4 x + 1/8 x = 14
4/8 x + 2/8 x + 1/8 x = 14
7/8 x = 14
x = 14 * (8/7) = 16.
Correct question:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31" steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.
Answer:
0.1310
Step-by-step explanation:
Given:
Sample size, n = 31
mean, u = 131
X - u = 1.9
If a random sample of 31 steel bolts is selected, the probability that the sample mean would differ from the population mean by more than 1.9 millimeter, would be determined by:
Z = 1.51
Probability =
P(|Z| > 1.51) =
P(Z < -1.51) + P(Z > 1.51)
= P(Z < -1.51) + 1 - P(Z > 1.51)
Using the standard normal table:
= NORMDIST(-1.51) = 0.0655;
NORMDIST(1.51) = 0.9345
Thus,
P = 0.0655 + 1 - 0.9345
= 0.1310