Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.
Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.
We can calculate exact area and circumference of a circle from its radius using the following equations:
Area of circle = (pi/4)*r^2
Circumference of circle = 2*pi*r
Where r is the radius of the circle.
I know this is a lot, sorry.
Answer:
Step-by-step explanation:
Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.
Sample size =49
If x is the number of batteries not meeting specifications then
x is binomial with n =49 and p = 0.01
Because i) each toy is independent of the other
ii) There are only two outcomes
Probability whole shipment is accepted = Prob (X≤3)
=0.9885
Hence almost all shipments would be accepted.
Hi there! :)
4x=-36
Divide both sides by 4 in order to isolate x:
x=-9
Hope this helps you and have a nice day!
~Just a joyful teen
Answer:
y = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x + 1
x = 1
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: y = 2(1) + 1
- Multiply: y = 2 + 1
- Add: y = 3
Answer:
-x + 10
Step-by-step explanation:
(x + 7) - (2x-3)
x + 7 - 2x - 3
x - 2x
-x + 7 + 3
-x + 10
