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serg [7]
3 years ago
5

Julian and Stacy needed 10 liters of water to fill a tank. Stacy filed the tank with 3 11/ 12 liters of water. Julian poured 1 2

/ 5 liters less than Stacy into the tank. how much more water is still needed to fill the tank?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0
7 29/60 liters of water
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5

Step-by-step explanation:

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Find the value of c and YZ if Y is between X and Z.<br><br><br><br> XY=5.5, YZ=2c, XZ=8.9
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What does x equal in the equation 3x=x+24
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Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Dmitriy789 [7]

The systems of linear equations have been matched with their respective solutions as shown in the image attached below.

<h3>What is a system of linear equations?</h3>

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1 year ago
The Magazine Mass Marketing Company has received 1515 entries in its latest sweepstakes. They know that the probability of recei
wariber [46]

Answer:

P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)

P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305

P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458

P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032

P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139

P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417

And adding we got:

P(x < 5)=0.0592

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=15, p=0.5)

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 < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)

P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305

P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458

P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032

P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139

P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417

And adding we got:

P(x < 5)=0.0592

7 0
3 years ago
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