Answer:
0.0183
Step-by-step explanation:
The percentage of students, who received their DTaP vaccine is 95%.
This implies that:

and

The standard deviation of the proportion is


We want to find the probability, that the sample proportion,


9514 1404 393
Answer:
C. parallelogram, then rectangle
Step-by-step explanation:
The attached image shows how the shape evolves as the number of segments of the circle increases. The smaller the central angle, the closer the shape becomes to a rectangle.
-51 and 714
Step-by-step explanation:
-23-38=-51
722-8=714
Answer:
- quotient: 10x +16
- remainder: 28x^2 +10x +22
Step-by-step explanation:
The attachment shows the steps.
quotient: 10x +16
remainder: 28x^2 +10x +22
_____
Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.
The first quotient term is 10x^4/x^3 = 10x.
The second quotient term is 16x^3/x^3 = 16.
When the leading dividend term is lower degree than the divisor, that dividend is the remainder.
1. The area is l * w, so just multiply 5x by 5x. Replacing x with 2.2 gets:
(5 * 2.2) * (5 * 2.2)
11 * 11
= 121
So, the area of the square when x = 2.2 centimeters is 121 sq cm.
2. The expression for this equation would be:
6(y + 4)
And using the distributive property on this to get the simplified expression, just multiply both y and 4 by 6.
6 * y + 6 * 4
6y + 24
So, your expression is 6y + 24.
3. For this one, let's make y's value 3.5 instead of 3 1/2 to make it easier to solve.
We just use the above expression to solve.
6 * 3.5 + 6 * 4
21 + 24
= 45
So, the area of the rectangle when y = 3 1/2 is 45 sq in.
4. For this last one, let's use the formula w = A/l to form an expression that will represent the width.
w = 8w + 18/2
Now, let's simplify it by dividing 8w and 18 by 2.
w = 8w/2 + 18/2
w = 4w + 9
So the expression to represent the width of the rectangle is 4w + 9.
Hope this helped!