To find the total probability, we first need to solve for the probability of the individual events.
Event 1:
P(consonant)=7/11
We know this to be true because out of the 11 total possibilities for the event, 7 of them are consonants.
R E P L A C E M E N T
Event 2
P(e)=3/10
We know this to be true because out of the 10 total possibilities for the event (since we didn't replace the first card we withdrew), 3 of them are the letter 'e'.
R E P L A C E M E N T (-1 to account for the first card we withdrew)
The possibility of both events...
P(consonant then 'e')=7/11*3/10=21/110
Answer: P=21/110
Answer: C) d+13/d+4
Here’s why:
Step 1: Rewrite the factor
d^2 + 7d +4d +28 / (d+4)^2 + 6 / d+4
Step 2 : factor out d from the expression and factor out 4 from the expression
d × (d+7) + 4(d+7) / (d+4) ^2 + 6 / d+4
Step 3: Factor out d+7 from the expression
(d+7) × (d+4) / (d+4) ^2 + 6 / d+4
Step 4: simply the expression
d+7 / d+4 + 6/ d+4
Step 5: write all numerators above the common denominator
d+7+6 / d+4
Step 6: add the numbers and you get
d+13 / d+4
So slope intercpet form
y=mx+b
m=slope
b=y intercpet
slope=5/3
in (x,y) form
x=3
y=5 is one point
subsitute and solve for b
y=mx+b
5=5/3 times 3+b
5=3/3 times 5+b
5=1 times 5+b
5=5+b
subtract 5 from both sides
0=b
equation is
y=5/3x+0 or
y=5/3x
The equation is given to compute A(7) = A(r) pi r²
7 = pi r²
r² = 7/pi
value of pi = 3.14
so,
r² = 7/3.14
r = √ (7/3.14)
r = 1.49