Answer:
68.26% of the parts will have lengths between 3.8 in. and 4.2 in.
Step-by-step explanation:
The lengths of a lawn mower part are approximately normally distributed
Standard deviation =
We are supposed to find What percentage of the parts will have lengths between 3.8 in. and 4.2 in . i.e. P(3.8<x<4.2)
Formula : 
At x = 3.8
Z=-1
Refer the z table for p value
p value =0.1587
At x =4.2
Z=1
Refer the z table for p value
p value =0.8413
P(3.8<x<4.2)=P(x<4.2)-P(x<3.8)=0.8413-0.1587=0.6826
So, 68.26% of the parts will have lengths between 3.8 in. and 4.2 in.
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).
To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96
Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%
Answer:
Combining like terms is a mathematical process used to simplify an expression or to add or subtract polynomials.
Step-by-step explanation:
How do I combine like terms?
1. Step 2: Combine the coefficients.
2. 5h + 11g + 1h - 8g.
3. (5 + 1)h + (11 - 8)g.
4. 6h + 3g.
5. Step 1: Organize your like terms.
6. 5x + 8x + 10x2 - 7x2 - 4x.
7. Step 2: Combine the coefficients. (5 + 8 - 4)x + (10 - 7)x2 9x + 3x2
Answer:
Step-by-step explanation:
11/8 as a decimal... 1.375
5/9 as a decimal... 0.55555556
