Chapter : EXPONENTS AND POWERS Can anyone give me answer for this please
1 answer:
The value of given expression is: 3
<h3>What is exponents and powers?</h3>
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
9*(15)³/45 * /9
= 3²* 3³*5³/5² * 3² * 3² * 5
=
= 3*1
=3
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Explanation
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,• and below the line from point (2),
we get the following graph:
AnswerThe points that satisfy both inequalities are given by the intersection of the blue and red regions:
Answer:
0.2177 = 21.77% conditional probability that she does, in fact, have the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Test positive
Event B: Has the disease
Probability of a positive test:
90% of 3%(has the disease).
1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So
Intersection of A and B:
Positive test and has the disease, so 90% of 3%
What is the conditional probability that she does, in fact, have the disease
0.2177 = 21.77% conditional probability that she does, in fact, have the disease