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3 years ago

What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10

Mathematics

1 answer:

hjlf3 years ago

4 0

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

Sum of the absolute value of the difference

= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

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What times what gives you 5700?

notsponge [240]

Answer:

57 × 10 will give you 5700, as well as 285 × 20.

6 0

2 years ago

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

san4es73 [151]

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0

3 years ago

A DVD box set includes 3 thriller movies and 2 comidies. Use t to represent the cost of each thriller and c to represent the cos

suter [353]

Answer:

The expression representing the Total cost of 6 boxes is $6(3t + 2c)$ .

The Simplified expression representing the Total cost of 6 boxes is $18t + 12c$ .

Step-by-step explanation:

Given:

Number of thriller movies = 3

Number of Comedy movies = 2

Let the cost of thriller movie be t

Also Let the cost of comedy movie be c

Total Number of boxes = 6

Now, given a DVD box set includes 3 thriller movies and 2 comedies.

Cost of Each box = $3t + 2c$

We need to find the total cost of 6 boxes

Total Cost of 6 boxes is = $6(3t + 2c)$

Hence the expression representing the Total cost of 6 boxes is $6(3t + 2c)$ .

Simplifying the above expression we get;

Total Cost of 6 boxes is = $6(3t + 2c)= 6\times3t+6\times2c=18t+12c$

Hence the Simplified expression representing the Total cost of 6 boxes is $18t + 12c$ .

3 0

3 years ago

PLEASE HELP ME PLEASE PLEASE I NEED YOUR HELP PLEASE HELP ME Which of these expressions demonstrates the identity property? Chec

Delicious77 [7]

Answer:

1st one and the third one

Step-by-step explanation:

25(0)=25

25+0=25

3 0

2 years ago

Read 2 more answers

A company has 14 employees with a salary of $21,000, 11 employees with a salary of $22,800, 17 employees with a salary of $

kodGreya [7K]

Answer:

27525.4902

Step-by-step explanation:

First need to add the total number of employees:

14+11+17+3+5+1=51

Now multiply the salary for each number of employees then add to have the total:

14x21000+11x22800+17x24800+3x32200+5x38500+1x148300= 1403800

Now to obtain the mean value just divide the total salary by the total number of employees:

1403800/51= 27525.4902

the mean salary is $27,525.49

5 0

3 years ago