An educational consulting firm is trying to decide whether high school student who have never before used handheld calculators can solve a certain type of problem more easily with a calculator that uses reverse polish logic or one that does not use this logic. a sample of 25 student is selected and allowed to practice on both calculators. then each student is asked to work one problem on the reverse polish calculator and a similar problem on the other. let p = p(s), where s indicates that a student worked the problem more quickly using revers polish logic than without, and let x = number of s’s. a) if p = 0.5, what is p(7 ≤ x ≤ 18)? b) if p = 0.8, what is p(7 ≤ x ≤ 18)? c) if the claim that p = 0.5 is to be rejected when either x ≤ 7 or x ≥ 18, what is the probability of rejecting the claim when it is actually correct? d) if the decision to reject the claim p = 0.5 is made as in part c), what is the probability that t

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

it is x equals 3   plese mark me really need it

step-by-step explanation: