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saveliy_v [14]
3 years ago
5

Please help me thanks very much

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0
The second question is the first choice 
pychu [463]3 years ago
3 0
For the first one the answer is 0.9205

the answer to the second one is x^2+3x-5

sorry for the long reply 
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The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
faltersainse [42]

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.  

5 0
3 years ago
Read 2 more answers
What is 7,230,000,000 in scientific notation <br> What is 0.0000865 in scientific notation
Gekata [30.6K]

Answer:

7,230,000,000 = 7.23 x 10 to the 9th power. 0.0000865 = 8.65 x 10 to the negative 5th power.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help please its URGENT!!!!!!!!
Aneli [31]

This is a relation but not a function.

Functions must have that there is a unique y for a given x, which clearly doesn't work here because all lines of a given x have 2 y-values. However, it is a relation because there is a given set of points which are defined to be within the set of the ellipse (if it's defined which members of two sets, the range and domain, go together, then you have a relation)

4 0
3 years ago
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In March 2007, Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours. You wonder
Rasek [7]

Answer:

The hypotheses used in this situation

H_0:\mu = 14.6

H_a:\mu \neq 14.6

Step-by-step explanation:

We are given that  Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours.

Mean = \mu = 14.6

Claim : The amount UMSL students study is different from this 14.6 hour benchmark.

The hypotheses used in this situation

H_0:\mu = 14.6

H_a:\mu \neq 14.6

5 0
3 years ago
An American green tree frog tadpole is about 0.00001 kilometer in length when it hatches. Write this decimal as a power of 10
galben [10]
1.e-50
you multiply .00001 by itself 10 times<span />
8 0
3 years ago
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