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3 years ago

Write an equation that defines the function :)

Mathematics

1 answer:

xenn [34]3 years ago

3 0

Answer:

see below

Step-by-step explanation:

Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.

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Y=mx+b can someone break this down for me and help me understand it?

adelina 88 [10]

Answer:

y=mx+b broken down is in the step by step explanation.

Step-by-step explanation:

y=mx+b is the y intercept formula.it is mostly used for slopes.

y is usually equal to the total,or final answer.it is the start.

m is equal to the slope.in the formula.it can also be used as the rise over run,which means the top number is the amount of units you go up for rise,and run is the bottom number which is the amount of units you move to the right.if it is negative,you move the opposite ways.if it is a single number,the bottom number can be 1.

x is equal to the number you multiply m,or the slope by.

b is equal to where you start on the vertical line in the graph.a way to remember it is horizontal is like a horizon,it’s flat.

7 0

2 years ago

The probability that a single radar station will detect an enemy plane is 0.65.

taurus [48]

Answer:

a) We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

b) If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

Step-by-step explanation:

For each station, there are two two possible outcomes. Either they detected the enemy plane, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that:

The probability that a single radar station will detect an enemy plane is 0.65. This means that $n = 0.65$ .

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

This is the value of n for which $P(X = 0) \leq 0.02$ .

n = 1.

$P(X = 0) = C_{1,0}.(0.65)^{0}.(0.35)^{1} = 0.35$

n = 2

$P(X = 0) = C_{2,0}.(0.65)^{0}.(0.35)^{2} = 0.1225$

n = 3

$P(X = 0) = C_{3,0}.(0.65)^{0}.(0.35)^{3} = 0.0429$

n = 4

$P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015$

We need 4 stations to be 98% certain that an enemy plane flying over will be detected by at least one station.

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?

The expected number of sucesses of a binomial variable is given by:

$E(x) = np$

So when $n = 7$

$E(x) = 7*(0.65) = 4.55$

If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.

6 0

2 years ago

Can someone please help me with this

postnew [5]

Put the given values of p and q in the factored form equation.

... f(x) = (x -(-1))(x -(-2)) . . . . p and q values put in

... f(x) = (x +1)(x +2) . . . . . . .simplified

Multiplying the factors, we have

... f(x) = x(x +2) + 1(x +2) = x² +2x +1x +2

... f(x) = x² +3x +2

We want to factor x³ -x² -6x. We notice first of all that x is a factor of all terms. Thus we have

... = x(x² -x -6)

Now, we're looking for factors of -6 that add up to -1. Those are -3 and 2. Thus the factorization is ...

... = x(x -3)(x +2)

We want a description of the structure and an equivalent expression for

... 64x⁹ -216

We note that 64, 216, and x⁹ are all cubes, so this expression is ...

... the difference of cubes.

It can be rewritten to

... = 8((2x³)³ -3³)

and so can be factored as

... = 8(2x³ -3)(4x⁶ +6x³ +9)

7 0

2 years ago

What is √6/√5 in simplest radical form?

Reil [10]

square root of 30. Hope this helps

5 0

2 years ago

Read 2 more answers

Pls answer and get branily

Dennis_Churaev [7]

Answer:

Just put 4 basketballs and 5 baseballs in each one

Step-by-step explanation:

If you think about it you will know that each ratio there is the same. So, you do the same thing each time.

All you have to do now is read. It says put 4 basketballs and 5 baseballs.

I hope this helped ;)

6 0

3 years ago