Answer:
4 blocks of cream cheese
Step-by-step explanation:
there are 16 Ounces in a pound.
You have 4 ounces of cream cheese. 4 is 25% of 16 so we subtract .25 from the required amount which is 2.25.
NOW we need 2 pounds. well, each block is 8 ounces, and we need in total 32 ounces. 32/8=4 blocks
Answer: y<2
Step-by-step explanation:
Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.
Here, the solution to the system of inequalities is,
y≤ 0.5x+2
y>3x-3
Since after ploting these two enequslties in the graph we get our feasible region.
When we include y > 2 in the system there is no solution of the system.
Therefore it affects the system.
Now when we include y < 2 in the system the solution or feasible region remain same.
Therefore it does not affect the system.
When we include y > 3 in the system there is no solution of the system.
Therefore it affects the system.
When we include line y=3 in the system then the system has no solution.
Therefore, it affects the system.
Thus, second Option is correct.
Answer:
--- Population standard deviation
--- Population Variance
Step-by-step explanation:
Given: Wake-up time data
Required: Determine the population standard deviation and the population variance using Excel
First, enter the given data in Excel
For this question, I entered the data in cell A2 through cell A21
Cell B2 and Cell C2 were used to hold the results of the population standard deviation and the population variance, respectively.
In cell B2, the formula to use is:
=ROUNDUP(STDEV.P(A2:A21),3)
The round function rounds the result to 3 decimal places while STDEV.P calculates the population standard deviation.
So, the result is:

In cell C2, the formula to use is:
=ROUND(VAR.P(A2:A21),3)
The round function rounds the result to 3 decimal places while VAR.P calculates the population variance.
So, the result is:

<em>See attachment for Excel file</em>
Answer:
a = 1√6
b = -2
Step-by-step explanation:
Hello,
To solve this trigonometric problem, we need to convert this values into fractions
a).
Sin45° = 1/√2
cos30° = √3/2
Sin60° = √3/2
Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]
(1/√2) ÷ (√3/2 + √3/2)
Add √3/2 + √3/2
1/√2 ÷ 2√3/2
1/√2 × 2/2√3
2/2√(2×3)
2/2√6
1/√6
b
Cos 180° = -1
Sin150° = ½
Tan135° = -1
2cos180° - 2sin150° - tan135°
(2 × -1) - (2×½) - (-1)
-2 - 1 + 1 = -2
Answer:
6
Step-by-step explanation: