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Phantasy [73]
3 years ago
11

The average number of hours of sleep per night was 9.46 hours for a sample of 104 five to seven year-old children. The number 9.

46 is a __________, because it is a number that can be computed from the sample of 104 children.
Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

Statistic

Step-by-step explanation:

-In statistics, a statistic is a characteristic or an attribute of a sample used to estimate or calculate the true values/characteristics of an entire population.

-The value 9.6 is only representative of the small sample size of 104 children.

-If the sample size is sufficient enough it can be used to calculate the population's mean, standard deviation and other Central Limit Theorem measures.

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Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
2 years ago
!!PLEASE CLICK THE IMAGE TO ANSWER!!
ratelena [41]
Hi, what exactly is the question ?
3 0
3 years ago
Given f(x)=-4x+7 find f(2) how do i slove this
yan [13]

Answer:

-1

Step-by-step explanation:

given f(x)=-4x+7 find f(2)

f(2) means question : if x=2, f(2)=?

f(2)= -4x2+7=-1

8 0
3 years ago
Which is the function represented by the table
mestny [16]

Answer:

the first function is correct

8 0
3 years ago
What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?
ikadub [295]

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

3 0
3 years ago
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