Determine the value of so that the area under the standard normal curve a. in the right tail is Round your answer to two decimal places. b. in the left tail is Round your answer to two decimal places. c. in the left tail is Round your answer to two decimal places. d. in the right tail is Round your answer to two decimal places. Click if you would like to Show Work for this ques

a) 2.81 b)-2.33 c) -2.88 d)3.09

Step-by-step explanation:

The complete question is:

Determine the value of z so that the area under the standard normal curve

a. in the right tail is 0.025 Round your answer to two decimal places.

b. in the left tail is 0.01 Round your answer to two decimal places.

c. in the left tail is 0.002 Round your answer to two decimal places.

d. in the right tail is 0.01 Round your answer to two decimal places.

a)P( Z> ???)=  0.0025

P(Z> ???)= 1-P(Z<???)

P(Z<???)= 1-0.0025

P(Z<??)= 0.9975

From Z distribution table,

Z = 2.81

b) P(Z<???)= 0.01

From Z distribution table

Z= -2.33

c) P(Z< ??? ) = 0.002

From Z distribution table

Z= -2.88

d) P( Z> ???)=  0.001

P(Z> ???)= 1-P(Z<???)

P(Z<???)= 1-0.001

P(Z<??)= 0.999

From Z distribution table,

Z=3.09

123

step-by-step explanation:

agngel

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.