In each of the following cases, determine if the sample sizes are large enough so that the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution. complete parts a through d below. a. suppose n 1equals30, n 2equals44, x 1equals16, and x 2equals43. choose the correct answer below. a. the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n 1 p overbar 1 and n 2 p overbar 2 are less than 5. b. the sampling distribution of the differences in the sample proportions cannot be approximated with a normal distribution because n 2 left parenthesis 1 minus p overbar 2 right parenthesis is less than 5. nothing c. the sampling distribution of the differences in the sample proportions can be approximated with a normal distribution because n 2 left parenthesis 1 minus p overbar 2 right parenthesis is greater than or equal to 5.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation:

answer: -10

step-by-step explanation:

s(t) = 1 - 10t

s(x) = 1 - 10x

s(x + h) = 1 - 10(x + h)

            = 1 - 10x - 10h

s(x + h) - s(x) = 1 - 10x - 10h - (1 - 10x)

                      = 1 - 10x - 10h - 1 + 10x

                      = -10h

= -10

13664

step-by-step explanation:

=cross multiply

=100 x = 13664