Answer:
Step-by-step explanation:
we know that
To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area
Let
x ----> the area of the hole
y ----> the area of the playing game
so
we have
<em>Find the area of the hole</em>
The area of the circle (hole) is equal to
we have
----> the radius is half the diameter
assume
substitute
<em>Find the probability</em>
we have
substitute
Convert to percentage
Round to the nearest tenth
128 degrees I hope this helped you
Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Answer:
y = 3/7x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3/7
Point (14, 0)
<u>Step 2: Find y-intercept </u><em><u>b</u></em>
- Substitute: 0 = 3/7(14) + b
- Multiply: 0 = 6 + b
- Isolate <em>b</em>: -6 = b
- Rewrite: b = -6
<u>Step 3: Write linear equation</u>
y = 3/7x - 6