Astudy of 138 penalty shots in world cup finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time. the article notes that this is "slightly worse than random chance." we use these data as a sample of all world cup penalty shots ever. test at a 5% significance level to see whether there is evidence that the percent guessed correctly is less than 50%. the sample size is large enough to use the normal distribution. the standard error from a randomization distribution under the null hypothesis is se = 0.043. let p represent the proportion of all world cup penalty kicks for which the goalkeeper correctly guesses the direction of the kick.
a. state hypotheses in terms of a single proportion p.
b. write the value of the sample statistic, using correct notation. use the sample statistic and the standard error provided to calculate a z-statistic. show your calculation.

add 5 subtract 1

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

the median is   36 orr sum like dat

step-by-step explanation: