1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vika [28.1K]
4 years ago
10

Admission to a certain university is determined by an entry exam. The scores of this test are Normally distributed with a mean o

f 400 and a standard deviation of 60. Only students who score in the top 30% will be offered admission. Amy scores 425 on the test. Choose the most accurate statement? A) The top 30% is defined with a score less than or equal to 431.4 so she will be admitted. B) The top 30% of all students have scores greater than or equal to 520 so she will not be admitted. C) The top 30% of all students have scores greater than or equal to 460 so she will not be admitted. D) The top 30% is defined with a score greater than or equal to 431.4 so she will not be admitted.
Mathematics
1 answer:
Arturiano [62]4 years ago
4 0

Answer:

The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)

Step-by-step explanation:

Mean m = 400

Standard deviation S = 60

Firstly, we have to determine the cut off mark,

Since Only students who score in the top 30% are accepted, the cut off mark can be determined from 70% of the mark.

P(cut off mark = X) = Z[( X -m)/S) <x]

=¢(X-400/60) = 0.7

From Normal distribution table,

X-400/60 = 0.524

X = 431.44

Therefore, the cut off mark is 431.44

Since Amy scores 425 on the test.

Therefore, The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)

You might be interested in
Rounded to the nearest dime ,what is the greatest amount of money that rounds to $105.40?What is the least amount of money that
victus00 [196]
<span>$100.00 rounded  value
$105.00 rounded value
$110.00 rounded value

For example,
14,494 </span>
<span>To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is: </span>
<span>10, 000 = ten thousand </span>
<span>4, 000 = thousands </span>
<span>400 = hundreds </span>
<span>90 = tens </span>
<span>4 = ones </span>
<span>Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.<span>
</span></span>
3 0
3 years ago
What is the slope of a line perpendicular to the line whose equation is
jonny [76]

Answer:

- \frac{1}{2}

Step-by-step explanation:

How do we find the line that's perpendicular to another?

We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be - \frac{1}{2}.

3 0
3 years ago
Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5
Art [367]

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

6 0
3 years ago
The water level in a tank can be modeled by the function h(t)=8cos(pi t /7)+11.5, where t is the number of
denis23 [38]

Answer:

NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height

Step-by-step explanation:

Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero

Velocity is the change in distance with respect to time.

V = {d(h(t)}/dt = -8π/7sin(πt/7)

At maximum height, -8π/7sin(πt/7) = 0

-Sin(πt/7) = 0

sin(πt/7) = 0

Taking the arcsin of both sides

arcsin(sin(πt/7)) = arcsin0

πt/7 = 0

t = 0

This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height

4 0
3 years ago
Graph this rational equation. Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asy
irakobra [83]

Step-by-step explanation:

We have given,

A rational function : f(x) = \frac{x-2}{x-4}

W need to find :

Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.

For no values of x, we get indetermined form (i.e \frac{0}{0}), Hence there is no holes

Vertical Asymptotes:

Plug y=f(x) = ∞ in f(x) to get vertical asymptote   {We can us writing ∞ = \frac{1}{0}}

i.e ∞ = \frac{x-2}{x-4}

or \frac{1}{0}=\frac{x-2}{x-4}

or x-4 =0

or x=4, Hence at x = 4, f(x) has a vertical asymptote

X -intercept :

Plug f(x)=0 , to get x intercept.

i.e 0 = \frac{x-2}{x-4}

or x - 2 =0

or x = 2

Hence at x=2, f(x) has an x intercept

Horizontal asymptote:

Plug x = ∞ in f(x) to get horizontal asymptote.

i.e f(x) = \frac{x-2}{x-4} = \frac{x(1-\frac{2}{x} )}{x(1-\frac{4}{x} )}

or f(x) = \frac{(1-\frac{2}{∞} )}{(1-\frac{4}{∞} )}

or f(x) = 1 = y

hence at y =f(x) = 1, we get horizontal asymptote





4 0
3 years ago
Other questions:
  • Please solve. best answer gets rewarded! show step by step.
    6·2 answers
  • 1
    13·1 answer
  • Is negative 5/8ths more than,less than or equal to 0.27?
    13·1 answer
  • If nx10^p is a positive number written in scientific notation which statements must be true? Select all that apply
    8·1 answer
  • Examine the diagram. A triangle has angles A, 15 degrees, 80 degrees. The exterior angle to angle A is B. What is the sum of the
    12·2 answers
  • What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?
    7·1 answer
  • K is between J and M. L is
    12·1 answer
  • SImplify to standard form (a+bi)<br> (12-9i)²
    6·1 answer
  • Twice a number is 46 less than 4 times the number. Find the number.
    5·2 answers
  • 29 30 28 26 23 29 29 29 23 24 30 23 30 24 25 25 23 30 Tentukanlah : a. Rata rata dari data ukuran sepatu diatas b. Median dari d
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!