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
Alik [6]
3 years ago
14

Suppose ACT Reading scores are normally distributed with a mean of 21.4 21.4 and a standard deviation of 5.9 5.9 . A university

plans to award scholarships to students whose scores are in the top 9% 9% . What is the minimum score required for the scholarship? Round your answer to the nearest tenth, if necessary.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

Cross multiply

1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

Approximately, = 29.2

Step-by-step explanation:

You might be interested in
Simplify the given algebraic expression.<br> 8(5y - 8) - (5y + 3)
RoseWind [281]

Answer:

35y - 67

Step-by-step explanation:

8(5y - 8) - (5y + 3)

Multiply the 8 with what is in the parentheses.

40y - 64 - 5y + 3

Subtract like terms.

35y - 67

7 0
3 years ago
Read 2 more answers
Are corresponding angles in similar figures congruent?
Gala2k [10]

Answer:

yes

Step-by-step explanation:

Only the lengths change, not the angles.

3 0
3 years ago
Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Lesechka [4]

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

4 0
3 years ago
Which number best repersents the slope of the graphed line
tatyana61 [14]

Answer:

69

Step-by-step explanation:

What is the graph?

6 0
3 years ago
Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be use
Len [333]

Answer:

b

Step-by-step explanation:

only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b

5 0
3 years ago
Other questions:
  • carla is renting a canoe. it costs $80 for 2 hours and $110 for 4 hours. what is the rate of change for this situation?
    14·2 answers
  • If you have an x-intercept = 3 and a y-intercept = 5 find the slope and the y-intercept.
    7·1 answer
  • 2
    9·1 answer
  • The moon is about 240,000 miles from earth . What is the distance written as a whole number multiplied by a power of ten
    7·2 answers
  • The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared squ
    12·2 answers
  • 2529.56068773 Rounded to the nearest ten
    6·1 answer
  • Tom works part-time at a theme park. Last week he worked the following hours but he needs to complete his timesheet in decimals.
    7·2 answers
  • Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the r
    13·1 answer
  • Please someone help me with the question
    6·1 answer
  • A swimmer would be able to swim across a 25-meter pool in about 1/5 of a minute.How fast can a swimmer go
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!