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Vsevolod [243]
3 years ago
13

A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what

would the value of sample variance be using the computational formula?
A. 3.7

B. 4.0

C. 44

D. not possible to know because the scores are not given
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

Option B.

Step-by-step explanation:

Given information:

Σ(x − M) = 44

where, M is mean.

Sample size = 12

The computational formula for sample variance is

s^2=\dfrac{\sum (x-M)^2}{N-1}

where, M is sample mean and N is sample size.

Substitute Σ(x − M) = 44 and N=12 in the above formula.

s^2=\dfrac{44}{12-1}

s^2=\dfrac{44}{11}

s^2=4.0

The sample variance is 4.0.

Therefore, the correct option is B.

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Carmen reads 2/3 chapters in 7/8 hours. What is the unit rate in chapters per hour?
mr Goodwill [35]

Answer:

16/21

Step-by-step explanation:

Divide both sides by 7 to get 1/8

2/3 = 7/8

1/7 x 2/3 = 7/8 x 1/7

2/21 = 1/8

Then multiply both sides by 8 to get 8/8 which is 1

8/1 x 2/21 = 1/8 x 8/1

16/21 = 1

3 0
3 years ago
A. g(x) = 2(x3 + 4)<br> B. g(x) =<br> (x3 + 4)<br><br> C. g(x) = 2x3 + 4<br> D. g(x) =x3 + 4
balu736 [363]

Answer: C. g(x)=2x^3+4

Step-by-step explanation:

When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.

8 0
2 years ago
Read 2 more answers
The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
tatuchka [14]

22 + 22 x r = 30

22 x r = 30 - 22

r = 8 : 22

r = +36,36%

r = increase rate

6 0
2 years ago
28/29 and 30 plz short explanation thanks
zzz [600]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:


28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:


a.b.c = -3


The possible values of the factors are:

  • Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

  • Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3


29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:


  • -9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2


Another example:


  • 1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.


30. The sign of the product of two integers with the same sign is positive, that is:


(+)(+) = (+) and

(-)(-) = (+)


So, the sign of the product of three integers with the same sign are two options:

  • <u>Option 1.</u> The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive


  • <u>Option 2.</u> The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.


This option two gives us that result because:


(-)(-) = (+) and (+)(-) = (-)

5 0
2 years ago
What is the product of -2/7 and -3/6
Andrew [12]

Hey!

------------------------------------------------

Product means multiplication.

-2/7 * -3/6 = -6/42 = -1/7

------------------------------------------------

Hence, the answer is \Large\boxed{\mathsf{-1/7}}

------------------------------------------------

Hope This Helped! Good Luck!

6 0
2 years ago
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