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bazaltina [42]
3 years ago
9

D. Find the value of x.1.120​

Mathematics
1 answer:
likoan [24]3 years ago
4 0
X=60 because 120/2=x
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Answer:

4

Step-by-step explanation:

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The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A
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Step-by-step explanation: if you add 21 and -3 you get 18

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Valerie earns $24 per hour.Which expression can
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I'm not really sure on this one, but I'd say it's B.
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Which equation is a point-slope form of the equation of this line (-2, 1 ) and (1, 7 )
lana [24]

The point-slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

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m=\dfrac{7-1}{1-(-2)}=\dfrac{6}{3}=2

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6 0
3 years ago
There is a 70 percent chance that an airline passenger will check bags. In the next 16 passengers that check in for their flight
GenaCL600 [577]

Answer:

a) P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332

b) P(X

And we can find the individual probabilities like this:

P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649

P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099

P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040

P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465

P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732

P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228

P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033

And replacing we got:

P(X

c) P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)

And replacing we got 0.825

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=17, p=0.7)

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!}

Part a

And we want to find this probability:

P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.00332

Part b fewer than 10 will check bags

We want this probability:

P(X

We can use the complement rule and we have:

P(X

And we can find the individual probabilities like this:

P(X=10)=(16C10)(0.7)^{10} (1-0.7)^{16-10}=0.1649

P(X=11)=(16C11)(0.7)^{11} (1-0.7)^{16-11}=0.2099

P(X=12)=(16C12)(0.7)^{12} (1-0.7)^{16-12}=0.2040

P(X=13)=(16C13)(0.7)^{13} (1-0.7)^{16-13}=0.1465

P(X=14)=(16C14)(0.7)^{14} (1-0.7)^{16-14}=0.0732

P(X=15)=(16C15)(0.7)^{15} (1-0.7)^{16-15}=0.0228

P(X=16)=(16C16)(0.7)^{16} (1-0.7)^{16-16}=0.0033

And replacing we got:

P(X

Part c at least 10 bags

We can find this probability like this:

P(x \geq 10) = P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)

And replacing we got 0.825

4 0
3 years ago
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