Answer:

And we can use the normal standard distribution table and we got:

Step-by-step explanation:
For this case we know the following info given:
represent the population proportion
represent the sample size selected
We want to find the following proportion:

For this case we can use the normal approximation since we have the following conditions:
i) np = 622*0.14 = 87.08>10
ii) n(1-p) = 622*(1-0.14) =534.92>10
The distribution for the sample proportion would be given by:

The mean is given by:

And the deviation:

We can use the z score formula given by:

And replacing we got:

And we can use the normal standard distribution table and we got:

$1.66
because $1 is for 2 pencils. Now, 10 pencils is $5 since 2 pencils is $1. $5 is for 10 pencil and 5 eraser is the $3 because 8-5=$3.
$3 is for 5 eraser. So, now do 5÷3=1.666....
You can just make it $1.66
I think the interquartile range is 13. Hope it help!
Answer:
4 containers.
Step-by-step explanation:
Since Noelle collected 3 quarts 1 pint of liquid from the first table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.
She also collected 4 quarts from the second table, 2 quarts from the third table.
Finally, she collected collected 3 quarts 1 pint of liquid from the fourth table, the amount of liquid collected in quarts is 3 quarts + 1 pint = 3 quarts + 1 pint × 1 quarts/2 pints = 3 quarts + 0.5 quarts = 3.5 quarts.
So, the total amount of liquid she collected in quarts is V = 3.5 quarts + 4 quarts + 2 quarts + 3.5 quarts = 7.5 quarts + 5.5 quarts = 13 quarts
We now convert this value to gallons to know the amount of containers Noelle needs since she has one gallon containers.
13 quarts = 13 × 1 quarts = 13 quarts × 1 gallon/4 quarts = 13/4 gallons = 3.25 gallons
Since the total amount of liquid is 3.25 gallons = 3 gallons + 0.25 gallons, Noelle would need 4 containers since 3 containers would contain the first 3 gallons and the fourth container would contain the remaining 0.25 gallons.
So, Alyssa would need 4 containers.