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777dan777 [17]
2 years ago
14

A study was designed to investigate the effects of two variables​(1) a​ student's level of mathematical anxiety and​ (2) teachin

g methodon a​ student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 440 with a standard deviation of on a standardized test. Assuming no information concerning the shape of the distribution is​ known, what percentage of the students scored between 360 and 520 ​?
Mathematics
1 answer:
dimaraw [331]2 years ago
7 0

Using Chebyshev's Theorem, considering a standard deviation of 40, we have that at least 75% of the students scored between 360 and 520.

<h3>What does Chebyshev’s Theorem state?</h3>

When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:

  • At least 75% of the measures are within 2 standard deviations of the mean.
  • At least 89% of the measures are within 3 standard deviations of the mean.
  • An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this problem, considering a standard deviation of 40, we have that:

440 - 2 x 40 = 360.

440 + 2 x 30 = 520.

Within 2 standard deviations of the mean, no information about the distribution, hence, at least 75% of the students scored between 360 and 520.

More can be learned about Chebyshev's Theorem at brainly.com/question/25303620

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio
Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

  • Five years ago, the population of a city was 49,000
  • Each year the zoning commission permits an increase of 580 in the population

   

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

  • a = 49,000,
  • n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5         ⇒ n = 11g
  • d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

#SPJ4

8 0
1 year ago
Hello it's mathhhhhh
yaroslaw [1]

Answer:

36

Step-by-step explanation:

4*6=24

3*4=12

24+12=36

8 0
3 years ago
Read 2 more answers
The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
3 years ago
Is this answer right?
zalisa [80]

Answer:

yes I think so

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The larger of two numbers is 12 more than the smaller their sum is 84 find the numbers
dedylja [7]
EXPLANATION:
Let the smaller no. be x.
Therefore, The bigger no. = x+12

x + 12 + x = 84
=> 2x = 84-12
=> x = 72/2
=> x = 36

ANSWER: The two numbers are (36+12) 48 & 36

Hope it helps u!
4 0
2 years ago
Read 2 more answers
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