If f(x) = -4x + 2 and g(x) = sq root X – 8,what is (fºg)(12)?
1 answer:
Answer:
Step-by-step explanation:
Recall that the notation: is the same as:
which means the value of the function f when you give it as input the value obtained by evaluating g(12).
Therefore, we need to start finding what g(12) is using the definition :
and evaluating it as x = 12.
So now we use this answer "2" as input for f(x):
Therefore,
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Answer:
a) 0.0025 = 0.25% probability that none of the appeals will be successful.
b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.
c) 0.9768 = 97.68% probability that at least two of the appeals will be successful
Step-by-step explanation:
For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
45% of first-round appeals were successful.
This means that
Suppose 10 first-round appeals have just been received by a Medicare appeals office.
This means that
(a) Compute the probability that none of the appeals will be successful.
This is P(X = 0).
0.0025 = 0.25% probability that none of the appeals will be successful.
(b) Compute the probability that exactly one of the appeals will be successful.
This is P(X = 1).
0.0207 = 2.07% probability that exactly one of the appeals will be successful.
(c) What is the probability that at least two of the appeals will be successful
This is
Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So
0.9768 = 97.68% probability that at least two of the appeals will be successful
The correct question in the attached figure
Let
x-------------> <span>the number of granola bars
y-------------> the pounds of fruit
we know that
if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1
if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4
</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48
<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure
<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12 the solution for the number of granola bars is the interval [0,12]
Let
x-------------> <span>the number of granola bars
y-------------> the pounds of fruit
we know that
if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1
if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4
</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48
<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure
<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12 the solution for the number of granola bars is the interval [0,12]
Answer:
y = - 35
Step-by-step explanation:
Expressing as a fraction , that is
= 5 ( multiply both sides by - 7 to clear the fraction )
y = - 35