Answer:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²
Answer:
$200 : $150
Step-by-step explanation:
Sum the parts of the ratio, 4 + 3 = 7 parts
Divide the total by 7 to find the value of one part of the ratio.
$350 ÷ 7 = $50 ← value of 1 part of the ratio
4 parts = 4 × $50 = $200
3 parts = 3 × $50 = $150
Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.
Step-by-step explanation:
We use binomial distribution when we have repeated process and the outcome is either a success or a failure.
The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).
The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.
Answer:
37.35 in
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (π/3)r²h
where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.
V = (π/3)(d/2)²h
12V/(πh) = d²
d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))
= 2√(1.6764×10^6/(π·1.53×10^3) in^2)
d ≈ 37.35 in
The base diameter of the cone is about 37.35 inches.
Answer:
<h2>m
F = 34°</h2>
Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find mF add mE and m F and equate it to 90 to find x then substitute it into the expression for mF
Thats
mE + mF = 90
9x - 38 + 2x + 40 = 90
11x + 2 = 90
11x = 90 - 2
11x = 88
Divide both sides by 11
x = 8
Now we have
if m F = 9x - 38
m F = 9( 8) - 38
mF = 72 - 38
We have the final answer as
<h3>m
F = 34°</h3>
Hope this helps you
