Standar error A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a random sample of 72 petty theft cases and finds 45 of these have gone unsolved. Set up the equation for the 90% confidence interval for p.

Estimate x Crit. value x standard error

0.625± 1.645*0.0571

Step-by-step explanation:

First calculate the estimate as 72 petty cases and 45 are unsolved as follows :

estimate :72/45=0.625

the critical value is given by cumulative probability equal to the  p* (critical probability) as ,

1)compute value for alpha =1-(confidence value /100).

                                           =1-(90/100)=0.1

for critical probability as p*=1 - (alpha/2)=1 -(0.1/2)=0.95

for this critical value is denoted to central area ,

Z(alpha)=1.645

now the standard error :

s=    here p is estimate and q is probability of failure and n is total no of          cases                  

 s=  =0.0571.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35