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
adelina 88 [10]
3 years ago
10

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

standard deviation of 100.
Using the empirical rule, what is the probability that a randomly selected score lies between 500 and 700? Express your answer as a decimal.
Mathematics
2 answers:
Greeley [361]3 years ago
8 0
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
Grace [21]3 years ago
3 0

Answer:

The answer is 0.95 or .95

Step-by-step explanation:

I hope this helps!!!! (=

You might be interested in
Please help! Will give Brainliest!!!!~
Zepler [3.9K]

Answer:

  the first selection is so shaded

Step-by-step explanation:

Each strip is divided into 10 parts. 1/5 will be represented by 2 of those parts, so 2/5 will be represented by 4 of the 10 parts. The 3/10 used on the other gift will be represented by 3 additional parts. So, a total of 7 of the 10 parts of the strip need to be colored to represent the ribbon used.

7 0
3 years ago
The robotics club has created 10 racing robots for the end of year science fair. each robot has the same chance of winning the r
Andreas93 [3]

Answer:  \frac{7}{120}

Step-by-step explanation:

8 0
2 years ago
Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
  • (-2\sqrt{7})^{2}
  • (4)(7)
  • 28
4 0
3 years ago
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and sta
Leviafan [203]

First get the average passing yards:

(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4

Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,

(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2

For the others, you should get squared residuals of

6,658.56

1,797.76

3,069.16

14,018.6

Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:

(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3

The standard deviation is just the square root of the variance:

√(10,915.3) ≈ 104.48

5 0
3 years ago
Read 2 more answers
Maggie leaves her home and travels 4 miles
DiKsa [7]

Answer:11 miles

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • In what conditions can a factored expression be factored further?
    12·1 answer
  • The sum of three consecutive integers is 18. Write an equation for this situation and then find the three integers.
    12·2 answers
  • Can somebody help me with the first set please you have to match it
    7·1 answer
  • The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x. We know the length is 9
    7·1 answer
  • Help me I don’t understand please
    7·1 answer
  • The <br> 180<br> falls between which two whole numbers?
    5·2 answers
  • Which equation represents h(x)?
    14·1 answer
  • Help ASAP<br><br> Brian ran 4 1/4 miles in 3/4 of an hour. How fast was brian running.
    7·2 answers
  • Pls solve this 15 points
    11·1 answer
  • Celine goes to the book fair where paperback books are $2 and hardback books are $4.50. Celine buys three
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!