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Dima020 [189]
3 years ago
8

Given ABC ~ XYZ , caculate the value of t.

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
As they both are similar so

S/11= 6/9

S= 66/9

S= 7.33
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To bike rental companies have different pricing systems company a charges a flat fee of four dollars +2 dollars per mile Company
lukranit [14]

Answer: the charge would be the same after 5 miles

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

company A charges a flat fee of four dollars plus 2 dollars per mile. It means that the total charge for x miles would be

4 + 2x

Company B does not charge a flat fee but charges $2.80 per mile driven. It means that the total charge for x miles would be 2.8x.

For the charge to be the same, the number of miles would be

2.8x = 4 + 2x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8

x = 5

5 0
3 years ago
Find the distance between the two points (0,0), (4,3)
Amiraneli [1.4K]

Answer:

Distance between the points=5

Step-by-step explanation:

The distance between two points in coordinate geometry is measured by using the distance formula:

If we have given two points

                   (x_1,y_1)\\\\(x_2,y_2)

Distance formula=  \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For (0,0) and (4,3)

      Distance:                          

                        \sqrt{(4-0)^2+(3-0)^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\\\\sqrt{25}

Or

      Distance between the points=5

4 0
3 years ago
1 PERFORMANCE - Essay
Amiraneli [1.4K]

Answer:

Thus the length = 230 and width = 90.

Step-by-step explanation:

Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less  than 3 times the width.

She has 320 feet of fencing.

Let the length of the rectangular fence be x and the width of the fence be y.

Then the relation between them is

x = 3y - 40

Also x + y = 320

Solving these equations,

320 - y = 3y - 40

4y = 360

y = 90

x = 230

Thus the length = 230 and width = 90.

7 0
3 years ago
What are the values of x in the equation 4x^2+4x-3=0
ludmilkaskok [199]
I have an answer and an explanation!

ANSWER:X=\frac{1}{2}   (or) x= \frac{-3}{2}


Explanation:

<span>{Let's solve your equation step-by-step.}
</span>4 x^{2} +4x-3=0

<span>{Step 1: Factor left side of equation.}
</span>(2x-1)(2x+3)=0

{<span>Step 2: Set factors equal to 0.}
</span>2x-1=0 (or) 2x+3=0<span>
</span>
3 0
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
3 years ago
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