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sashaice [31]
3 years ago
10

If UW=4t-16 and UY=t+14, find UY in Rhombus VWXY

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

UY = 24

Step-by-step explanation:

UW can be set to equal UY, because the lines are the same lengths.

4t - 16 = t + 14

3t = 30

t = 10

So now that we found <em>t, </em>we need to find what UY is... So plugging 10 back in for <em>t</em>, we get:

UY = 10 + 14\\UY = 24

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What is the vertex of g(x) = 3x2 − 12x + 7?<br><br> (−6, −5) <br> (−2, −5)<br> (2, −5)<br> (6, −5)
34kurt

Answer:

(2, -5)

Step-by-step explanation:

Convert to vertex form:

3x^2 - 12x + 7

= 3(x^2 - 4x) + 7

Completing the square:

= 3[ (x - 2)^2 - 4)] + 7

= 3(x - 2)^2 - 12 + 7

= 3(x - 2)^2 - 5.

Comparing with the general form

a(x - b)^2 + c  we see that the vertex is (b, c)  =   (2, -5).

4 0
2 years ago
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75241,0.06281)  

Where \mu=5.75241 and \sigma=0.06281

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

For the case when z =-2 we can do this:

-2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 -2*0.06281 =5.6121

And for the other case when Z=2 we have:

2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 +2*0.06281 =5.8886

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

5 0
3 years ago
In the scale used on a blueprint 1/4 inch represent 3 feet on the blueprint what is the length of the room with an excellent of
BigorU [14]
You would do 24 times 3 and get 72 or divide 24 by 1/4=0.25
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3 years ago
What is the surface area?<br> 9 ft<br> 6 ft<br> 3 ft<br> square feet
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Answer:

the answer to this question is equal to 162

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igor_vitrenko [27]
<span>Which function passes through the points (2, 15) and (3, 26)?
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Its B
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