Answer:
No Solution
Step-by-step explanation:
2 (n - 8) < 16 + 2n
Step 1.) Multiply 2 by n and -8
2n - 16 < 16 + 2n
Step 2.) Add the 16 on the left to the 16 on the right
2n < 32 +2n
Step 3.) Subtract 2n on the right from the 2n on the left
0 < 32
If the answers on both sides had both been 0 then it would have been Infinite Solutions but because there is only one 0, the answer is No Solution
A) the z score for 95% is 1.96
Multiply by the deviation:
1.96 x 0.005 = 0.0098
Now add and then subtract that from the mean:
4.035 - 0.0098 = 4.0252
4.035 + 0.0098 = 4.0448
The interval is (4.0252, 4.0448)
B) 4.035 +/- 1.96 x sqrt( 0.005/sqrt(25))
= 4.035 +/-0.00196
Answer: ( 4.033, 4.037)
C) the conclusion is that both 4.020 and 4.055 are out of the range.
4.020 is below the lowest range and 5.055 is higher than highest range.
Answer:
Scores = 8
Step-by-step explanation:
To solve variation problems, you make mild assumptions and analogies
Let's score be represented with S
Let's Absences be represented with A.
Therefore
S varies inversely as A
S ~ 1/A
S = K/A
The K represents a contant notation so that we can easily figure the variation problem.
When Absences were 2
Scores were 12
S = K/A
12 = K / 2
Cross Multiply.
K = 24.
It means that, S = 24 / A.
For a student with 3 absences, the score would be:
S = 24 / A
S = 24 / 3
S = 8
Math is fun!
Answer:
12 square feet
Step-by-step explanation:
You can find out how many square feet he bought by dividing 432 by 3.
432/3=144
Now, you need to find the square root of that to find the length of just one side of the room.

Answer:
64°
Step-by-step explanation:
∠RQP = 46°
∠PRQ = 180° - 110° = 70°
∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°
70° + 46 + <u>∠RPQ</u> = 180°
116° + <u>∠RPQ</u> = 180°
Find <u>∠RPQ</u>
<u>∠RPQ</u> = 180° - 116° = 64°