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
Artyom0805 [142]
2 years ago
9

College freshmen took a psychology exam. If the mean is 80, the SD is 10, and the scores have normal distribution, what percent

of students failed the test (grade<0)?
2%
34%
14%
48%
Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

  (a)  2%

Step-by-step explanation:

A score of 60 is 2 standard deviations below the mean (80 -2·10 = 60). The empirical rule tells you that 95% of the distribution is within 2 standard deviations of the mean. The remaining 5% is split evenly between those that are more than 2 SD above the mean and those that are more than 2 SD below the mean.

That tells you the percentage who failed is about 2.5%. The best answer choice is 2%.

_____

<em>Additional comment</em>

The empirical rule is a little bit sloppy, but it gets you in the ballpark. The actual percentage is closer to 2.275%.

You might be interested in
You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 303030 minutes
ddd [48]

You will read for 45 minutes if your brother reads for 15 minutes.

<em><u>Explanation</u></em>

You decide to read 30 minutes longer than your brother reads.

If your brother reads x number of minutes, then 30 minutes longer than x minutes means (x+30) minutes.

As the number of minutes you read is y , so the equation will be:  y= x+30

When your brother reads for 15 minutes, then we will just <u>plug x=15 into the above equation</u>. So.....

y=15+30= 45

So, you will read for 45 minutes if your brother reads for 15 minutes.

7 0
3 years ago
Read 2 more answers
Bill and Joe have 60 dollars between them. Bill has half as much as Joe. How much does Bill have?
Katyanochek1 [597]
Bill and Joe have 60 dollars between them. Bill has half as much as Joe.

so Bill = B and Joe = J

20 (B) + 40 (J) = 60

Bill has half the amount of Joe, and so 40/2  = 20

subtract 60 from 20 (the answer for Bill) and you get 40, (the answer for Joe)

hope this helps
6 0
3 years ago
Compared with the graph of the parent function,
Arada [10]

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

5 0
2 years ago
What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth
anyanavicka [17]

Answer:

\dfrac{3}{2}

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

-\dfrac{3}{8}

2nd fraction is negative one-fourth

i.e.

-\dfrac{1}{4}

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}

\div is converted to \times and the 2nd fraction is reversed i.e.

if the fraction is \frac{p}{q} it becomes \frac{q}{p} and the sign \div is changed to \times.

Solving above:

-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}

So, the quotient is \frac{3}{2}.

6 0
3 years ago
Double-Angle and Half-Angle Identiies [See Attachment] Question 4
Nesterboy [21]
Please make it brainleist

8 0
3 years ago
Read 2 more answers
Other questions:
  • During a 10 day period, Officer Mandel drove his patrol motorcycle 1320 miles. If he drove 105 miles on one day, how many miles
    14·1 answer
  • The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral
    13·2 answers
  • Multiply (3w^2-4w+7)(5w+2) Simply the answer
    15·1 answer
  • What is 77+(83+15)? In Math
    9·2 answers
  • PLEASE HELP!!!! I know the answer, but I don’t know how to solve the problem!!!
    13·1 answer
  • Find the equation of the line below ​
    11·2 answers
  • Explain in words how to change a fraction to a percent
    12·2 answers
  • Luis worked 40 hours last week and earned a total of $528. His job at Cub pays $9 per hour and
    12·1 answer
  • Which equation should we use when solving for the value?<br>y=4x-17<br>y=2x-9​
    12·1 answer
  • Explain how to do it: The average weight of the chimpanzees at a zoo is 52 kilograms. If 1 gram ≈0.0353 ounce, use dimensional a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!