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Damm [24]
3 years ago
7

What is the standard deviation of the data? 4 8 12 24

Mathematics
2 answers:
Alex17521 [72]3 years ago
4 0

Answer: 8.6409876

Step-by-step explanation:

AlladinOne [14]3 years ago
3 0

Answer:

The standard deviation of the data represented is 4

Step-by-step explanation:

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A study was designed to investigate the effects of two​ variables, (1) A​ student's level of mathematical anxiety and​ (2) teach
Mashcka [7]

Answer:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

P(z>-2)=1-P(z

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(z>-2)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(440,20)  

Where \mu=440 and \sigma=20

We are interested on this probability

P(X>440)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)

And we can find this probability using the complement rule:

P(z>-2)=1-P(z

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(z>-2)=1-P(z

6 0
3 years ago
156787 can go into 4 how many times???????
kiruha [24]

39196.75 is the answer to your problem

8 0
3 years ago
The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o
oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

27=2x^{2} -3x

2x^{2} -3x-27=0

2x^{2} +6x-9x-27=0

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

6 0
3 years ago
PLEASE HELP ME QUICK WILL GIVE BRAINLIEST!
goldenfox [79]

Answer:

(8 times 50)+ (8 times 2)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2. What is the volume of the carton? A( 4 cubic fe
notsponge [240]

Answer:

The volume of the carton is 5 1/3 cubic feet

Step-by-step explanation:

A carton has a length of 2 2/3 feet, width of 1 1/3 feet, and a height of 1 1/2.

The dimensions can be rewritten as

Length of carton =2 2/3 = 8/3 converting to improper fraction).

width of 1 1/3 feet = 4/3 feet

and a height of 1 1/2= 3/2 ,feet

volume of the carton = length of the carton × width of the carton × height of the carton

Volume of carton = 8/3 ×4/3 × 3/2

= 96/18 cubic feet

Converting to mixed fractions, we have

96/18= 5 1/3 cubic feet

8 0
3 years ago
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