At a particular food processing factory, a machine is supposed to package mixed nuts such that each package contains 50% peanuts, 20% hazelnuts, 20% cashews, and 10% pecans. a randomly-selected can containing 500 of these mixed nuts was found to have 271 peanuts, 108 hazelnuts, 78 cashews, and 43 pecans. at the 5% significance level, determine whether the machine is mixing the nuts in the proper ratio.

It is the proper ratio.

Step-by-step explanation: All of the numbers added together would make the 500 mixed nuts that it mentioned which would be 100%

271 plus 108 plus 78 plus 43 = 500

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: