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LuckyWell [14K]
2 years ago
15

AABC is similar to AAXY by a ratio of 4:3. If BC = 24, what is the length of XY?

Mathematics
1 answer:
Alenkasestr [34]2 years ago
7 0

Answer:

OXY=18

Step-by-step explanation:

The ratio of AABC to AAXY is 4:3 so the lengths will be in that ratio too. The ratio of BC:XY is 4:3. BC is 24 so 24:XY is 4:3. You need to divide 24 by 6 to get 4 so multiply 3 by 6 to get the answer 18.

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Step-by-step explanation:

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A bank's loan officer rates applicants for credit.
Artist 52 [7]

Answer:

a=200 +0.253*50=212.65

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.  

Step-by-step explanation:

1) 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".  

2) Solution to the problem

Let X the random variable that represent the loan officer rates applicants for a credit of a population, and for this case we know the distribution for X is given by:

X \sim N(200,50)  

Where \mu=200 and \sigma=50

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 this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.40   (a)

P(X   (b)

Both conditions are equivalent on this case.

As we can see on the figure attached the z value that satisfy the condition with 0.60 of the area on the left and 0.40 of the area on the right it's z=0.253. On this case P(Z<0.253)=0.60 and P(z>0.253)=0.4

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.253

And if we solve for a we got

a=200 +0.253*50=212.65

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.  

5 0
3 years ago
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