Answer:
A = 201 cm²
Step-by-step explanation:
We know that the area of a circle can be calculated with the formula:
A = πr² = π(d/2)²
with d being the diameter.
Therefore:
A = 3.14(8cm)² = 201 cm²
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies

68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies

95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies

All of data will be found between 1133 years and 1379 years.
<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>
<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>
Step-by-step explanation:
[ Refer to the attachment for steps ]
- We have to eliminate the highest degree coefficient in each step.
- And as in division of normal numbers we subtract the things here we do the same ,
but while subtracting we have to take care about the signs !
- The negative sign changes the negative sign into positive sign and positive sign into negative sign.
- Whereas , a positive sign don't changes the sign.
6+y
Since increased (key word) means addition.
Slope
m = (y2-y1)/(x2-x1)
m = (10 - 7)/(2 --1)
m = 3/3
m = 1
To find the equation
y = mx + b
m is slope
y = 1x + b
plug in one of the equations to solve for b
10 = 1(2) + b
10 = 2 + b
subtract 2 from both sides
8 = b
The equation is
y = 1x + 8
or you can write it as
y = x + 8
Hope this helps