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zysi [14]
3 years ago
12

The scores on the entrance exam at a well-known, exclusive law school are normally distributed with a mean score of 200 and a st

andard deviation equal to 50. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass? (Round your answer to nearest whole number.)
Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

the lowest passing score would be x = 298

Step-by-step explanation:

School wishes that only 2.5 percent of students taking test pass

We are given

mean= 200,

standard deviation = 50

We need to find x

The area under the curve can be found by:

2.5 % = 0.025

So, 1- 0.025 = 0.975

We need to find the value of z for which the answer is 0.975

Looking at the z-score table, the value of z is: 1.96

Now, using the formula:

z = x - mean/standard deviation

1.96 = x - 200/50

=> 1.96 * 50 = x-200

98 = x - 200

=> x = 200+98

x = 298

So, the lowest passing score would be x = 298

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Fractions are quotients of two integers

A better way to say what the 3 in 2/3 represents is that, 3 is the denominator

<h3>How to determine what 3 represents</h3>

The fraction is given as: 2/3

A fraction is represented as: Numerator/ Denominator

By comparison;

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  • Denominator = 3

Hence, a better way to say what the 3 in 2/3 represents is that, 3 is the denominator

Read more about fractions at:

brainly.com/question/11562149

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2 years ago
Which lines have slope -4/5 and contain point (0,1)?
Oksanka [162]
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elixir [45]
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3 years ago
the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

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Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

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3 years ago
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Ivan

Answer: 2.15, 2.2, 2.2012, 2.501

4 0
3 years ago
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