The following results come from two independent random samples taken of two populations. Sample 1 : n1 = 60; x1 = 13.6 ; Ï1 = 2.4.
Sample 2 : n2 = 35 ; x2 = 11.6; Ï2 = 3.
(a) What is the point estimate of the difference between the two populations means? (Use x1 ? x2.)
(b) Provide a 90% confidence interval for the difference between the two population means. (Use x1 ? x2. Round your answers to two decimal places.)
(c) Provide a 95% confidence interval for the difference between the two population means. (Use x1 ? x2. Round your answers to two decimal places.)

The radius of a sphere is 3 inches. which represents the volume of the sphere?

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

If the square of a positive integer is added to 2 times the integer the result is 48. find the integer.