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dedylja [7]
2 years ago
14

The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen

's School of Business in Kingston, Ontario requires a minimum LSAT score of 157 for admission. Find the 35th percentile of the LSAT scores. Give your answer accurate to one decimal place. Use the applet. (Example: 124.7) Your Answer:
Mathematics
2 answers:
DENIUS [597]2 years ago
8 0

Answer:

108 rooms

Step-by-step explanation:

faltersainse [42]2 years ago
5 0

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

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  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

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

P(X>a)=0.65   (a)

P(X   (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 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

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=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

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Rick used a stick to trace a large rectangle in a sandy lot
konstantin123 [22]

Answer:

56 feet

Step-by-step explanation:

Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.

Hope this helps!

8 0
2 years ago
Read 2 more answers
s(t) = 0.29t2 − t + 25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n
Sav [38]

Answer: The answer is 300 gallons.

Step-by-step explanation: Riemann sum is a method of calculating the total  area under a curve on a graph, which is also known as Integral.

To calculate that area, we divide it into a number of rectangles with one point touching the curve. The curve has a closed interval [a,b] that can be subdivided into n subintervals, each having a width of Δx_{k} = \frac{b-a}{n}

If a function is defined on the closed interval [a,b] and c_{k} is any point in [x_{k-1},x_{k}], then a Riemann Sum is defined as ∑f(c_{k})Δx_{k}.

For this question:

Δx_{k} = \frac{7-0}{5} = 1.4

Now, we have to find s(t) for each valor on the interval:

s(t) = 0.29t^{2} - t +25

s(0) = 25

s(1) = 24.29

s(2) = 24.16

s(3) = 24.61

s(4) = 25.64

s(5) = 27.25

s(6) = 29.44

s(7) = 32.21

Now, using the formula:

∑f(c_{k})Δx_{k} = 1.4(25+24.29+24.16+24.61+25.64+29.44+32.21)

∑f(c_{k})Δx_{k} = 1.4(212.6)

∑f(c_{k})Δx_{k} ≅ 300

With Riemann Sum, it is estimated the total country's per capita sales of bottled water is 300 gallons.

3 0
3 years ago
I want to know the answer to the sum of f and 6
11111nata11111 [884]

f + 6 = ?

Well, the answer can be pretty much any number. It all depends on what number f is. f is a variable, so you can plug in any number to replace f.

For example, if f was 5, this is what the equation would look like:

5 + 6 = 11

If f was -3, this is what the equation would look like:

-3 + 6 = 3

So, again, the answer can be anything. It depends on what f is.

4 0
3 years ago
A puppy named Puddles started Douthat 3 pounds and gained 5 pounds every month. At how many months did Puddles weigh 33 pounds?
Zinaida [17]

Answer:

6.6 months

Step-by-step explanation:

33 ÷ 5=6.6

This should help and if It doesn't I am sorry

3 0
2 years ago
PLEASE HELP ANSWER FOR BRAINLIEST AND *EXPLAIN* :)
Gnesinka [82]
Since it’s supplementary the straight line would equal to 180 degrees

4d - 1 + 105 = 180
4d + 104 = 180
4d = 76
d = 19
7 0
2 years ago
Read 2 more answers
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