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nadezda [96]
3 years ago
6

Prove the following equation has no solutions. 13t+6=12+13t

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0
13t-13t=0
so your left with 
6=12 
which is a false statement which makes this equation have no solutions

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the lenght of the actual tunnel is 21 miles. The scale is 1 in. to 6 miles (1 inch represents 6 miles), what is the length of th
mr Goodwill [35]

Answer:

3.5 in

Step-by-step explanation:

1in=6Miles

21=Miles

1in=6

1in=12

1in=18

.5in=3

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3.5IN = 21MILES

5 0
3 years ago
Systems of equations - substitution method <br><br> -8x+7y=10<br> Y=3x+7
andre [41]

Answer:

<h2>x= -3 , y = -2</h2>

Step-by-step explanation:

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3 years ago
You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first
Tomtit [17]

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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

Alternative 1

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

X \sim Binom(n=3, p=0.1)

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!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

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

Y \sim Binom(n=5, p=0.05)

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

P(Y)=(nCy)(p)^y (1-p)^{n-y}

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

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

4 0
4 years ago
Solve the following system. x 2 - y = 3 x - y = -3 The solution set
Tpy6a [65]
Hello : 
<span>x²- y = 3 ...(1)
 x - y = -3 ...(2)
by (2) : y = x+3
subqct in (1) : x²-x-3 = 3
x²-x-6 =0
(x+2)(x-3) = 0
x+2 =0 or x-3 =0
x=-2 or x=3
if x = -2   y = -2+3 = 1
if x=3      y =3+3 = 6
two solutions : ( -2, 1) , (3,6)</span>
8 0
4 years ago
= 1 square foot<br> Find the area of the figure.<br> square feet
Alborosie
Is there more to this question?
6 0
4 years ago
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