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Nadya [2.5K]
3 years ago
6

How do you find the scale factor

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0
Scale factor(smaller length) is larger length over smaller length. Scale factor(larger length) is smaller length over larger length. Add your measurement and your done!
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To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

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

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

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

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

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

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

3 0
2 years ago
The lengths of two sides of a triangle are 15 inches each. The third side measures 10 inches. What type of triangle is this? Exp
zloy xaker [14]

Answer: Isosceles

<u>Step-by-step explanation:</u>

When two sides of a triangle are congruent, it is an isosceles triangle.

When three sides of a triangle are congruent, it is an equilateral triangle.

5 0
3 years ago
How would I solve this
Tom [10]

Answer:21.2

do x/45 = 24/51 cross multiply and get 51x=1080 simplify and get 21.2

3 0
3 years ago
A 13-foot ladder is placed against a vertical wall of a building with the bottom of the ladder standing on level ground 7 feet f
NARA [144]

Answer:

64

Step-by-step explanation

8 times 8 is 64 just write that down

6 0
3 years ago
3. John and Nelly are cleaning their house. Nelly takes 3 hours longer than John if she cleans the house alone. If they can do t
swat32

Answer:

1 hour?

Step-by-step explanation:

8 0
2 years ago
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