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avanturin [10]
3 years ago
5

What is the lower limit of f(x) = x^5 - 3x^3+ 24

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0
It is either negative 1968594
Or it is negative 2150814
You might be interested in
The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x - 5. what is t
Anastasy [175]
Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

\frac{s}{y} = x

s = y*x

Given, when 30 is added to the y numbers, the AM becomes x - 5.

\frac{s + 30}{y + 1} = x - 5

\frac{y*x + 30}{y +1} = x - 5


y*x + 30 = (x -5)( y +1)

y*x + 30 = y*x + x - 5y -5

5y = x - 5 -30 = x - 35


y =  \frac{x -35}{5} 
8 0
3 years ago
For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

E(Z) = Mpq

Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

And as we can see then we can conclude that   Z \sim Bin (M, pq)

8 0
3 years ago
9. In the diagram below, Angle A is 50 degrees. What is angle B?
maw [93]

Answer:

130

Step-by-step explanation:

Angle B = 180 - Angle A

180 - 50 = 130

4 0
3 years ago
Read 2 more answers
Which system of inequalities is represented by the graph?
sergey [27]
I believe the correct answer is the third answer.

Hope this helps! :)
7 0
4 years ago
Read 2 more answers
5. Sean has 56 bills in his pockets. The bills are only fives and tens.
noname [10]

Answer:

He have 43 bills of 10 and 13 bills of 5

Step-by-step explanation:

5x + 10y = 495

x + y = 56

Isolate x:

x = 56 - y

Substitute in the first equation:

5(56 - y) +10y = 495

280 -5y +10 y = 495

5y = 495 -280

5y = 215

y = 215/5

y= 43

Now substitute the value of y to find x:

x = 56 - y

x = 56 - 43

x = 13

3 0
2 years ago
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