Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is

Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is


Kinetic energy is usually measured in units of Joules and can be written as “J”.
Answer:
Analyzed and Sketched.
Step-by-step explanation:
We are given 
To sketch the graph we need to find 2 components.
1) First derivative of y with respect to x to determine the interval where function increases and decreases.
2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

is absolute maximum

is the point concavity changes from down to up.
Here, x = 0 is vertical asymptote and y = 0 is horizontal asymptote.
The graph is given in the attachment.
Answer:
15(2) + x(2)= perimeter
Step-by-step explanation:
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226