An experiment was conducted on 60 university of texas undergraduates to evaluate taste preferences. on the 60 participants, 25 prefer the taste of instant coffee and 35 prefer the taste of fresh-brewed coffee. if p is the proportion of ut students who prefer fresh-brewed coffee, what is the width of the 95% confidence interval for p?

The width of the 95% confidence interval for p is 0.2496

Step-by-step explanation:

Taking into account that the proportion of the students from the sample that prefer the taste of fresh-brewed coffee is calculated as:

p' = 35/60 = 0.5833

Because there are 60 students in the sample and 35 prefer the taste of fresh brewed coffee.

So, the width of the 95% confidence interval for p is calculated as:

Where n is the number of the students in the sample and 1.96 is the z values that satisfy that:

2P(Z>1.96) = 1 - 0.95 = 0.05

Then, replacing p' by 0.5833 and n by 60, we get:

Finally, the width of the 95% confidence interval for p is 0.2496

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

answer: your correct answer is b. d.

step-by-step explanation: