The University of Missouri-St. Louis gave a validation test to entering students who had taken calculus in high school. There are 121 students overall, 28 of which received college credit for the calculus they took in high school and 93 of which did not receive college credit. The group of 93 students receiving no college credit had a mean score of 4.17 on the validation test with a sample standard deviation of 3.7 ( p s = P(xi − X¯) 2/(93 − 1) = 3.7). For the 28 students who received credit from a high school dual-enrollment class, the mean score was 4.61 with a sample standard deviation of 4.28. (a) Find a 95% confidence int

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true