Answer:
Correct option: (a) 0.1452
Step-by-step explanation:
The new test designed for detecting TB is being analysed.
Denote the events as follows:
<em>D</em> = a person has the disease
<em>X</em> = the test is positive.
The information provided is:
Compute the probability that a person does not have the disease as follows:
The probability of a person not having the disease is 0.12.
Compute the probability that a randomly selected person is tested negative but does have the disease as follows:
Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:
Compute the probability that a randomly selected person is tested negative as follows:
Thus, the probability of the test indicating that the person does not have the disease is 0.1452.
Answer:
36 i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(x+0.6) + 5(1.02-x) = 0
Opening the brackets
2x + 1.2 + 5.1 - 5x = 0
-3x + 6.3 = 0
-3x = -6.3
x = -6.3/-3
x = 2.1
Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
Answer:
Unscented candles : unit rate = 3.538 inches / hour
Step-by-step explanation:
Scented candles :
Burns 310 inches on 15 hours
Unscented candles :
Burns 46, inches in 13 hours
The unit rate of unscented candles :
Total inches burnt / total number of hours
46 inches / 13 hours
= 3.538 inches per hour
For scented candles :
Total inches burnt / total number of hours
310 inches / 15 hours
= 3.538 inches per hour
= 20.667 inches / hour