Answer:
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
Let
x------> size of the event space
y-----> size of the sample space
so
step 1
Find the probability that a point chosen randomly inside the rectangle is in the circle
<em>Find the area of the rectangle</em>
<em>Find the area of the circle</em>
In this problem we have
substitute
step 2
Find the probability that a point chosen randomly inside the rectangle is in the regular hexagon
<em>Find the area of the regular hexagon</em>
![A=6[\frac{1}{2} (1.8)^{2}sin(60)]=8.42\ in^{2}](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%20%281.8%29%5E%7B2%7Dsin%2860%29%5D%3D8.42%5C%20in%5E%7B2%7D)
In this problem we have
substitute
step 3
Find the probability that a point chosen randomly inside the rectangle is either in the circle or in the regular hexagon
Is the sum of the two probabilities
Round to the nearest hundredth
The rhombus has 4 equal sides so to find the length of a side you just divide the perimeter by 4.
Answer:
2R^2 + 21R - 36
Explanation:
To answer this question, we will follow these steps:
1- expand the brackets
2- gather like terms
Steps are as follows:
(2R-3)(R+12) = 2R(R) + 2R(12) - 3(R) - 3(12)
= 2R^2 + 24R - 3R - 36
= 2R^2 + 21R - 36
Hope this helps :)
<h2>
Answer:</h2>
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
<u>For slope:</u>
<u />
<u />
Slope (m) = 7
<u>For y-intercept:</u>
<u />
<u />
Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
Formulas:
Slope formula: <em>y₂ - y₁/x₂ - x₁</em>
Slope-intercept form: <em>y = mx + b</em>
Point-slope form: <em>y - y₁ = m(x - x₁)</em>
<em></em>
*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>
Answer: 16 birds
Step-by-step explanation:
Acording to the info we know that: for every 1 squirrel there are 4 birds
=> the number of the birds if there were 15 squirrels: 15*4=60 (birds)
