A company produces light bulbs whose life follows a normal distribution, with mean (1300+R) hours and standard deviation (50+R) hours. If we choose a light bulb randomly a. What is the probability that its lifetime will be less than 1600 hours? b. What is the probability that its lifetime will be more than 1850 hours? c. What is the probability that its lifetime will be between 1280 and 1740 hours? d. What is the lifetime in hours that R% of the bulbs exceed?

Q: Find || projau || if u = (2,4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: can you help me

A:

Q: cannot read the handwriting sorry, can I ask for a more clear handwriting

A:

Q: curl(curl F)= grad(div F) - 2F

A:

Q: Show steps

A:

Q: Venn diagram

A:

Q: Preliminary work Evaluate Vx? + 6x dr.

A:

Q: How is the y value determined, like y1,y2,y3, and y4? (the second column of the table)

A: As per the question we have to explain how the y-values i.e. y1 , y2 , y3 and y4 are determined.

Q: I can't read the handwriting can you put in computer form

A: Find the inverse of fx=x+49-3x

Q: solve fast

A: Step 1: Given, D = {4, 7, 9} E = {4, 6, 7, 8} F = {3, 5, 6, 7, 9}we need to find (D ∪ E) ∩ F.For…

Q: 12 Show your work. 24 Show your work

A: In all the given triangles, the line parallel to one of the sides divided the other two sides…

Q: Write various formulas for degree of freedom.

A:

Q: How do I differentiate?

A: Given that

Q: I don't understand this I apologize

A: Solution

Q: What is t

A: Note: After seeing the previous explanation, we observe that the student has some doubts  related…

Q: The center of an ellipse is (1,6). One focus of the ellipse is (-1,6). One vertex of the ellipse is…

A:

Q: What is the area of the shaded region?

A: Required probability is P(Z<-2.52)

Q: Simultaneous 23 gy-1 +2

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.