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Sedbober [7]
3 years ago
5

The equation below describes a parabola. If a is negative, which way does the parabola open? x = ay2

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0
This type of parabola opens either to the left or to the right. The negative makes it open to the left.
Vanyuwa [196]3 years ago
3 0

Answer:

The given parabola opens to the left.

Step-by-step explanation:

We are given,

The equation of the parabola is x=ay^2

If in the parabola,

<em>1. If 'a' is positive, then the parabola opens upwards or right.</em>

<em>2.</em><em> If 'a' is negative, then the parabola opens downwards or left.</em>

Moreover,

<em>3. If x is squared, then the parabola opens upwards or downwards.</em>

<em>4. </em><em>If y is squared, then the parabola opens left or right.</em>

Now, as we are given the parabola having y^2 and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

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Step-by-step explanation:

Previous concepts  

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".  

Solution to the problem  

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

X \sim Binom(n=7, p=0.51)  

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

P(X)=(nCx)(p)^x (1-p)^{n-x}  

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nCx=\frac{n!}{(n-x)! x!}  

For this case we want to find this probability:

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And we can use the complement rule for this case:

P(X \geq 3) = 1-P(X

If we find the individual probabilities we gotL

P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068  

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And replacing we got:

P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895

 

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