Answer:
Step-by-step explanation:
We want to know "probability that first is vowel AND second is vowel"
In probability theory, "AND" means Multiplication.
<em>Essentially we want to figure out probability of first drawn to be vowel and multiply that with probability second drawn is vowel as well.</em>
<em />
There are 5 vowels and total 12 letters, so
P (vowel) = 5/12
<u>For the second draw, there are STILL 12 letters and 5 vowels (since the first drawn is REPLACED)</u>. Hence, probability of 2nd vowel is the same. So:
P (vowel for 2nd draw) = 5/12
<em>Now we multiply them to get: 
</em>
Answer:
y = 0.2x + 250
Step-by-step explanation:
let the sales be x and y be earnings
thus,
given
x₁ = $3,500 ; y₁ = $950
and,
x₂ = $2,800 ; y₂ = $810
Now,
the standard line equation is given as:
y = mx + c
here,
m is the slope
c is the constant
also,
m = 
or
m = 
or
m = 0.2
substituting the value of 'm' in the equation, we get
y = 0.2x + c
now,
substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get
$950 = 0.2 × $3,500 + c
or
$950 = $700 + c
or
c = $250
hence,
The equation comes out as:
y = 0.2x + 250
The average price of such a house is
(97.86/ft²)×(1400 ft²) = 97.86×1400 = 137,004
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
