Answer:
The standard error for the distribution of exam grades is 1.482.
Step-by-step explanation:
The data provided is attached below.
Steps to compute the standard error of exam grades in SPSS are as follows:
Step 1:
Enter the data in a SPSS sheet
Step 2:
Go to Analyze → Descriptive Statistics → Descriptives...
A dialog box will open.
Step 3:
Move Score to the box labelled as "Variable(s)"
Step 4:
Go to options.
A dialog box will open.
Step 5:
Select all the statistics value required. Press OK.
Step 6:
Press OK.
The SPSS output is attached below.
The standard error for the distribution of exam grades is 1.482.
x = liters of 40% solution
y = liters of 70% solution
Gabe needs 30 liters, so
x + y = 30
Each liter of 40% solution contributes 0.4x liter of acid; each liter of 70% solution contributes 0.7y liter of acid. Gabe needs a solution with concentration 60%, which from 30 liters amounts to a net volume of 0.6*30 = 18 liters of acid. So
0.4x + 0.7y = 18
Solve the system however you like. By substitution, we have
y = 30 - x
0.4x + 0.7(30 - x) = 18
0.4x + 21 - 0.7x = 18
3 = 0.3x
==> x = 10 ==> y = 20
Percent means parts out of 100 so
40%=40/100=4/10
'of' can be translated as multiply
50 times 4/10=200/10=20
$20=lunch
Answer
4(y - 6)
Explanation
The difference of y and 6 can mathematically be represented as y - 6.
Therefore, four times the difference of y and six will be 4(y - 6).
Answer: 3
Step-by-step explanation:
