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shepuryov [24]
3 years ago
7

3. Given the following similar triangles. Find the values of variables and label all the unknown angles

Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x                     DF = 18

BC = 5                     FE = 15

AC = 3                     DE = y

Process

1.- Find y

Use proportions to find it

                 DE/FE = AC/BC

Substitution

                 y/15 = 3/5

Solve for y

                  y = 15(3/5)

                  y = 45/5

                  y = 9

2.- Find x

                AB/DF = BC/FE

Substitution

                x/18 = 5/15

Solve for x

                x = 18(5/15)

                x = 90/15

                x = 6

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A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while
ki77a [65]

Answer:

n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=12 represent the population standard deviation

n represent the sample size  

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is \alpha=1-0.96 =0.04. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got z_{\alpha/2}=2.054, replacing into formula (b) we got:

n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38

So then the minimum sample to ensure the condition given is n= 38

5 0
3 years ago
5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false
Tomtit [17]

Answer:

false because each go up by two and I didnt even look it up

5 0
3 years ago
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What is 15 - 1/6n = 1/6n - 1
eduard
15-1/6n=1/6n-1
15+1=1/6n+1/6n
16=1+1/6n
16=2/6n
16=1/3n
16*3/1=n
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6 0
3 years ago
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2x - 3y = -5<br> 5x - 22 = -4y<br><br> Solve In Multiplication Method
Nimfa-mama [501]

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 5 → (1)

5x + 4y = 22 → (2) [ rearranged equation ]

Multiplying (1) by 4 and (2) by 3 and adding will eliminate the term in y

8x - 12y = - 20 → (3)

15x + 12y = 66 → (4)

Add (3) and (4) term by term to eliminate y, that is

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 in either of the 2 equations and evaluate for y

Substituting into (2)

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4y = 12 ( divide both sides by 4 )

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Solution is (2, 3 )

4 0
3 years ago
What is this math please help ASAP
valentina_108 [34]

Answer:

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Notice that:

x-y=4

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