Some have argued that throwing darts at the stock pages to decide which companies to invest in could be a successful stock-picking strategy. suppose a researcher decides to test this theory and randomly chooses 150 companies to invest in. after 1 year, 78 of the companies were considered winners; that is, they outperformed other companies in the same investment class. to assess whether the dart-picking strategy resulted in a majority of winners, the researcher tested upper h 0 : pequals 0.5 versus upper h 1 : pgreater than 0.5 and obtained a p-value of 0.3121 . explain what this p-value means and write a conclusion for the researcher. (assume alpha is 0.1 or less.)

∠cbe and ∠deb are same-side interior angles.

i took the test

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

the answer would be  

a.

3: 1

step-by-step explanation: