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3 years ago

Please help me anyone

Mathematics

2 answers:

dolphi86 [110]3 years ago

7 0

Answer:

115

Step-by-step explanation:

When x = -11, x^2 = 121. y = 121 - 6 = 115.

Hope this helped,

~cloud

Mnenie [13.5K]3 years ago

6 0

Answer:

115

Step-by-step explanation:

y = x^2 - 6

Let x = -11

y = (-11)^2 - 6

y = (121) -6

= 115

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In a region, 90% of the population have brown eyes. If 15 people are randomly selected, find the probability that at least 13

Andrew [12]

Answer:

a) $P(X \geq 13) = P(X=13) +P(X=14) +P(X=15)$

$P(X=13)=(15C13)(0.9)^{13} (1-0.9)^{15-13}=0.267$

$P(X=14)=(15C14)(0.9)^{14} (1-0.9)^{15-14}=0.343$

$P(X=15)=(15C15)(0.9)^{15} (1-0.9)^{15-15}=0.206$

And replacing we got:

$P(X \geq 13) = P(X=13) +P(X=14) +P(X=15)=0.267+0.343+0.206=0.816$

b) D. No, because the probability of this occurring is not small.

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".

Part a

If 15 people are randomly selected, find the probability that at least 13 of them have brown eyes.

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

$X \sim Binom(n=15, p=0.90)$

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:

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

And we want to find this probability:

$P(X \geq 13) = P(X=13) +P(X=14) +P(X=15)$

$P(X=13)=(15C13)(0.9)^{13} (1-0.9)^{15-13}=0.267$

$P(X=14)=(15C14)(0.9)^{14} (1-0.9)^{15-14}=0.343$

$P(X=15)=(15C15)(0.9)^{15} (1-0.9)^{15-15}=0.206$

And replacing we got:

$P(X \geq 13) = P(X=13) +P(X=14) +P(X=15)=0.267+0.343+0.206=0.816$

Part b

Is it unusual to randomly select 15 people and find that at least 13 of them have brown eyes? Note that a small probability is one that is less than 0.05.

Since our calculated probability is too higher compared to 0.05 we can conclude this:

D. No, because the probability of this occurring is not small.

7 0

4 years ago

The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people, the cost per ticket decreases by $3 f

MrRissso [65]

Answer:

Cost of each ticket per person = $42

For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.

Marco's ticket cost $30.

This means he paid 42-30=12 dollars less.

Now when there are 8 members, the cost decreases by $3.