Answer:
0.0006087 (4 sf)
Step-by-step explanation:
Binomial distribution: X ~ B(n, p)
where n is the number of trials and p is the probability of success
Let the random variable X be the number of people with brown eyes
n = 14
p = 40% = 0.4
Therefore, X ~ B(14, 0.4)
P(X ≥ 12) = 1 - P(X ≤ 11)
= 1 - 0.9993913226...
= 0.000608677...
Answer:
f(x) = x3 + 3x2 − 4x − 12
Step-by-step explanation:
A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.
(x+3)(x+2)(x-2)
(x^2 + 3x + 2x + 6)(x-2)
(x^2 + 5x + 6)(x-2)
x^3 + 5x^2 + 6x -2x^2 - 10x - 12
x^3 + 3x^2 - 4x - 12
If you mean to the power of 3 the answer should be 0.421875
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
Answer:
<u>69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.
Step-by-step explanation:
Given:
Average Price to rent a studio is denoted by 'p'.
It is been approximated by equation:

where t ⇒ number of years since 2005
Now given:
Average Price to rent a studio p = $1081.10
Substituting the value of p in above equation we get;

Solving the new equation to find the value of t we get;

Dividing both side by 24.1 we get;

Hence<u> 69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.
<u />