A light bulb manufacture guarantees that that the mean life of a certain type of light bulb is at least 750 hours. A random sample of 36 light bulbs has a mean life of 745 hours with a standard deviation of 60 hours. Do you have enough evidence to reject the manufacturer's claim? Use a = 0.02

Q: Find 2x² +5x+1 -dr, x>0

A: Use the formulas below to evaluate the given integral.

Q: and make it clear

A: y=3sin(2x)5cos(4x)

Q: Could you just a brief explanation of how each step is done?

A:

Q: Prove that 5" + 9 2. п

A:

Q: the product of seven less than a number and eight in varibale expression form, not simplified and…

A: We find veriable expression of this given problem. The product of seven less than a number and…

Q: please show all steps

A: The given definite integral is

Q: Please explain step 3 more clearly.  Show how you calculated each row of numbers. Step by step.

A: Given False Positive =0True Positive =46False Negative =1True negative =17 The sensitivity of the…

Q: Graph the following: (1/((x-2)^2)) + 10

A: Given,

Q: Ho: με 10 H₂:μ< 10 sample size is 125 and the population standard deviation is assumed known with a…

A:

Q: Simplity each of the following. (-21*)' (x+2y)(x-2y) 2.x -8x* (6x²)(-3x³)

A: Given query is to simplify the expression.

Q: 9. Evaluate the line integral / (2x – 3y) ds; where C is the line segment from (-1,0) to (0, 1)…

A: 9.

Q: Can number 9 be completed please.

A: Given a 1211220021112347451112 b 1202231110240000

Q: Find the linearzation to appraximate (1.999)^3

A: We have to find the value

Q: j + 28.6 = 43

A:

Q: the distance between (-3/5, -4) and (-3/5, 2/3)

A: The given points are (x1, y1) = (-3/5, -4) and (x2, y2) = (-3/5, 2/3).

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.