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vladimir1956 [14]
2 years ago
8

On a test that has a normal distribution, a score of 60 falls two standard deviations above the mean, and a score of 42 falls on

e standard deviation below the mean. Determine the mean of this test
Mathematics
2 answers:
Sergeu [11.5K]2 years ago
7 0

Answer:

48

Step-by-step explanation:

Given that:

A  \ score  \ of \  60  \ falls \  two  \ standard   \ deviations \  above \  the \ mean \\ \\ A \  score \ of \ 42  \ falls \  one  \ standard  \ deviation \ below  \ the \ m ean

The interval for score = 60 - 42 = 18

If we divide it by the 3 standard deviations; the interval result into

= 18/3

= 6

So, the standard deviation is 6, and the mean = 42 + 6

= 48

Likurg_2 [28]2 years ago
6 0

Answer:

51

Step-by-step explanation:

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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
2 years ago
How do I solve this equation?
shusha [124]

Answer:

x≤-4 or x≥0.5

Step-by-step explanation:

3 0
3 years ago
What is the least common multipul of 6 and 8?
Bogdan [553]

Answer:

Step-by-step explanation:

24

The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.

5 0
3 years ago
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...​
PolarNik [594]

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

Multiply and divide from left to right

56+120 ÷7*5

56+ 600/7

Get a common denominator

392/7 + 600/7

992/7

Change from an improper fraction to a mixed number

141  5/7

8 0
3 years ago
Read 2 more answers
What is the distance between the point (10,12) and (-4,-36)
dimulka [17.4K]
Well using distance formula

d \:  =  \sqrt{(x {}^{2} }  - x {}^{1} ) + (y {}^{2}  + y {}^{1} )
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.
4 0
3 years ago
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