Answer:
The graph in the attached figure
Step-by-step explanation:
we have
x < -1
The solution is the interval ----> (-∞,-1)
All real numbers less than -1
On a number line the solution is the shaded area at the left of x=-1 (open circle)
using a graphing tool
see the attached figure
9514 1404 393
Answer:
f^-1(x) = (x +4)/3
Step-by-step explanation:
The inverse function is found by swapping x and y, then solving for y.
y = 3x -4 . . . . . function y = f(x)
x = 3y -4 . . . . . inverse relation
x +4 = 3y . . . . add 4
(x +4)/3 = y . . . divide by 3. This is the inverse function
f^-1(x) = (x +4)/3
Here you would want to use the sine function, since it’s making a triangle with the ground, and length of the string, the height to the kite. This can be found by 65sin(70°) which is ≈ 61.08 meters
Answer:
Correct option: (B) 1.495%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = the test is positive.
<em>A</em> = a person with the dominant allele
The information given are:

According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:

Use this law to compute the probability of person having a positive result as follows:

The percentage of positive result is: 0.01495 × 100 = 1.495%.
Thus, the percentage of the population will give a positive test is 1.495%.
Answer:
2.56
Step-by-step explanation:
1.6^2 = 1.6 * 1.6 = 2.56