Answer:
c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Step-by-step explanation:
Margin of error:
"It means the percentage difference of the result above or below the exact value."
i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.
OR "the result can vary upto 4 percent above or below the 29 percent."
Let me simplify the answer first in number then convert it percent to understand easily.
29 percent of 1000= (29/100)*1000=290
4 percent of 1000=(4/100)*1000=40
If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250
250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Answer:
Marcy's math class starts at 9:35.
Step-by-step explanation:
11:55
-50 = 11:05 This gets rid of 50 minutes of math class.
11:05
-30 = 10:35 This gets rid of the 30 minutes of recess.
Now subtract one more hour to subtract the remainder of math class, and you get 9:35. Marcy's math class starts at 9:35.
The correct answer to your question would be C, to list the the product as 2 for 6$
X=3y+4, y=y
x+y=180, 3y+4+y=180, 4y+4=180
4y+4=180
4y=176
y=44
x=3(44)+4, x=132+4, x=136
(I am not a very good artist in this case:)
Answer:
The volume of the ball with the drilled hole is:
Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:
Then we set the integral for the volume by using shell method:
That can be solved by substitution:
The limits of integration also change:
For x=5: 
For x=15: 
So the integral becomes:
If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:
Then applying the basic rule we get:
Since that is just half of the solid, we multiply by 2 to get the complete volume:
