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natita [175]
2 years ago
10

On a test that has a normal distribution, a score of 49 falls two standard deviations below the mean, and a score of 61 falls on

e standard deviation above the mean. Determine the mean of this test.
Mathematics
1 answer:
Zolol [24]2 years ago
6 0

The mean of this test will be 57.

<h3>What is Standard Deviation and Mean?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation= \sigma

So, m-2\sigma=49

and, m + \sigma=61

Solving the above two equation we get

\sigma =4

Now, m= 61-\sigma

           = 61-4

           = 57

So , the mean of this test will be =57

Learn more about mean and standard deviation here:

brainly.com/question/16030790

#SPJ1

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2 years ago
There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items
Sav [38]

The greatest number of packages of baked items that can be sold is 10

<em><u>Solution:</u></em>

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 50 and 160:</u></em>

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

<em><u>Each package will contain:</u></em>

Given that there 50 cupcakes and 160 cookies

<em><u>Number of cupcakes in 1 package:</u></em>

\rightarrow \frac{50}{10} = 5

<u><em>Number of cookies in 1 package:</em></u>

\rightarrow \frac{160}{10} = 16

So each package has the same number of cupcakes and same number of cookies with none left over

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3 years ago
PLLZZZZ HELP WILL GIVE BRAINLIEST!
Sunny_sXe [5.5K]
<span>−1 1/3 - 1/6
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