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fenix001 [56]
4 years ago
12

The following data points represent the number of hours each of the staff members at Daniel's Department Store slept on Thanksgi

ving night.
Sort the data from least to greatest.

Find the interquartile range (IQR) of the data set.

Mathematics
1 answer:
Slav-nsk [51]4 years ago
5 0

Sort the data into this order:

2.6, 3, 4.9, 5, 5, 6, 6, 7.9, 8, 8.2

^

there are 10 data points in total, therefore the Interquartile Range = between the 5th and the 6th numbers, which are 5 and 6

(5+6)/2= 5.5

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Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
PolarNik [594]

Answer:

(f\circ g)(x)=x^2+9x+20

Step-by-step explanation:

We have the two functions:

f(x)=x^2+5x+6\text{ and } g(x)=x+2

And we want to find:

(f\circ g)(x)

This is equivalent to:

(f\circ g)(x)=f(g(x))

Therefore, we will have:

f(x+2)

By substitution:

f(x+2)=(x+2)^2+5(x+2)+6

Simplify. Square and distribute:

f(x+2)=(x^2+4x+4)+(5x+10)+6

Rearrange:

f(x+2)=(x^2)+(4x+5x)+(4+10+6)

Combine like terms:

f(x+2)=(f\circ g)(x)=x^2+9x+20

7 0
3 years ago
during the first semester, the ratio of the number of students in art class to the number of students in gym class classes was 2
Stels [109]
Are we assuming there are the same number of students total in both classes for both semesters 
1st semester  2 art: 7 gym
2nd semester 5 art: 4 gym      so  75 =5/9 75/5=15 for every  1 in the ratio is is = 15 students so 1st semester 30 art 105 gym   2nd semester 75 art 60 gym both have 135 total in both classes both semesters hope i helped -J

6 0
4 years ago
Read 2 more answers
Which of the following groups of terms can be used interchangeably when working with normal distributions?
BARSIC [14]

Answer:

The correct answer is D) areas, probability, and relative frequencies

Step-by-step explanation:

This is because each of these terms refers to an amount of space surrounding the mean on the normal distribution curve. Each of them let's us know how likely a spot is to have a value within it.

The z-score would not fit this as it identifies the value and how far away a single spot on the graph would be.

5 0
3 years ago
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
Hatshy [7]

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0

(x + 2)² = 0

x + 2 = 0

x = - 2

6 0
3 years ago
Geometry question need help
Aneli [31]

Answer:

B. BE≅DA

Step-by-step explanation:

CPCTC = corresponding parts of congruent triangles are congruent.

Triangles BAE and DEA are congruent, then

  • AB≅ED;
  • BE≅DA;
  • AE≅EA.

So option B is correct.

All other options cannot be proved using CPCTC of triangles BAE and DEA.

3 0
3 years ago
Read 2 more answers
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