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Pie
3 years ago
15

What is the graph for f(x)=3*(1/2)^2

Mathematics
1 answer:
DiKsa [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

1

,

−

2

)

Focus:  

(

1

,

−

23

12

)

Axis of Symmetry:  

x

=

1

Directrix:  

y

=

−

25

12

x

y

−

1

10

0

1

1

−

2

2

1

3

10

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The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a
sashaice [31]

Answer:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

P(X \geq 1)= 1-P(X

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.15)

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969

what is the probability that at least one error made?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule:

P(X \geq 1)= 1-P(X

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors  and at least one error

P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n

P(X \geq 1)= 1-P(X

8 0
3 years ago
2(x - 2.6) + 2.91 = 7.71
Gennadij [26K]

I'll show a step-by-step. I'm not in the mood to explain right now lol.

2(x-2.6)+2.91=7.71

2x-5.2+2.91=7.71

   +5.20          +5.20

2x+2.91=12.91

    -2.91  -2.91

2x=10

/2   /2

x=5

---

hope it helps

sorry if it doesn't

3 0
2 years ago
If 25% of a number is 65 and 60% of the same number is 156, find 35% of that number.
Goshia [24]

Answer:

35% of that number is 91.

Step-by-step explanation:

we need to first find 25% of what number equals 65.

65×100÷25 = 260

Then, if you use the same method again, 60% of 260 would be 156.

We know "that" number is 260, and all we need to do is find 35% of it.

35% of 260 = 91

Hope this helped :)

8 0
3 years ago
Write one way to
adell [148]

Answer:

5 x 7=35    

Step-by-step explanation:

3 0
3 years ago
Un ascensor está en el segundo subsuelo, sube
Sav [38]

Answer:

You are going to be in the 1st floor/Vas a estar en el 1er piso!

Yo creo que

Step-by-step explanation:

5 0
2 years ago
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