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
nydimaria [60]
2 years ago
13

The time to complete an exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the

68-95-99.7 rule, what percentage of students will complete the exam in less than 60 minutes
Mathematics
1 answer:
MatroZZZ [7]2 years ago
5 0

Answer:

16% of students will complete the exam in less than 60 minutes

Step-by-step explanation:

The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 70

Standard deviation = 10

What percentage of students will complete the exam in less than 60 minutes

60 = 70-10

So 60 is one standard deviation below the mean

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.

16% of students will complete the exam in less than 60 minutes

You might be interested in
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
RUDIKE [14]

Answer:

\%Change = 8.8\%

Step-by-step explanation:

Given

Initial = 51\ cents

Final = 55.5\ cents

Required

Determine the percentage change

Percentage change is calculated as;

\%Change = \frac{Final - Initial}{Initial} * 100\%

\%Change = \frac{55.5 - 51 }{51 } * 100\%

\%Change = \frac{4.5}{51} * 100\%

\%Change = \frac{4.5* 100\%}{51}

\%Change = \frac{450\%}{51}

\%Change = 8.8\%

<em>Hence, the percentage change is approximately 8.8%</em>

6 0
2 years ago
What number is 10 times as much as 2.357?
IRINA_888 [86]
The number 23.57 is 10 times larger than 2.357.
8 0
3 years ago
Read 2 more answers
Find f(x) - g(x) *
Studentka2010 [4]

Answer:

3x^3+13x^2-3x+7

Step-by-step explanation:

I dont know if your question is complete.

f(x) - g(x)

(4x^3+6x^2-3x+9)-(x^3-7x^2+2)\\4x^3+6x^2-3x+9-x^3+7x^2-2\\3x^3+13x^2-3x+7

6 0
2 years ago
38 1/4 as a decimal.....
Maurinko [17]
38 1/4 as a decimal would be 38.25 because 1/4 is 0.25 add 38 to that would be 38.25
6 0
3 years ago
Read 2 more answers
Which three lengths could be of the sides of a triangle?
zvonat [6]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Under typical conditions, 0.5 feet of snow will melt 2 inches of water. to how many inches of water will 6.5 of snow melt
    9·1 answer
  • The equation of a line is 4x−3y=−24 .
    5·1 answer
  • Find the Area of the shape below.
    11·1 answer
  • What is the slope of the line?
    8·1 answer
  • I need help with sum of my algebra hw assignments
    7·1 answer
  • LOTS OF POINTS!! WILL GIVE BRAINLIEST!! HELP!!!!!!!!!! answer the question below.
    14·2 answers
  • Del has 12 less than 3 times the number of comic books as Patrick. Del has at most 57 comic books. What solution represents the
    15·1 answer
  • 12. Solve for x. x = ___________
    10·1 answer
  • Can someone please answer= 20 points
    9·1 answer
  • Charles is doing renovations on his house. He has budgeted 25% of the cost for new
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!