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AVprozaik [17]
3 years ago
11

Over the last six months, the following numbers of absences have been reported: 10, 16, 12, 18, 2, and 14. What is the median nu

mber of monthly absences?
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0

Using it's concept, it is found that the median number of monthly absences is of 13.

The <em>median </em>of a data-set is the <u>value that separates the bottom 50% of the data-set from the upper 50%</u>.

The first step is ordering the data-set, hence:

2, 10, 12, 14, 16, 18

In this problem, the cardinality is of 6, which is a even number.

  • Hence, the median is the <u>mean of the 6/2 = 3rd and 4th elements</u>.

Then:

\frac{12 + 14}{2} = 13

The median number of monthly absences is of 13.

To learn more about the median, you can take a look at brainly.com/question/10322579

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On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance that is at least 1,400
Helen [10]

Answer:

C 350d>1400

Step-by-step explanation:

You don't add the days to 350 to get the total miles and you don't add the time to 1400 miles.  By having 350d the answer would be what times 350=1400 which is why that one is correct.  (D= 4)

3 0
3 years ago
2. f(x)=4x+1 and ​g(x)=x2−4x−5​, find ​(g◦​f)(4​).
Goryan [66]

Answer:

(g · f)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x² - 4x- 5

(g · f)(x) = 4(x² - 5) + 1

(g · f)(4) = 4(4² - 5) + 1

Following pemdas

(g · f)(4) = 4(16 - 5) + 1

(g · f)(4) = 4(11) + 1

(g · f)(4) = 44 + 1

(g · f)(4) = 45

8 0
2 years ago
I am in need of assistance.
Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

  • \displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}

1. Factor the denominator.

  • \displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

  • \displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}

3. Simplify.

  • \displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}  

4. Combine like terms.

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}  

5. Multiply the right side of the equation by (x-4)/(x-4).

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4}  \Big )  

6. Simplify.

  • \displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}

7. "Cancel" out the denominators because they are equivalent.

  • 2x^2-14x+5=-3x+12

8. Set the equation equal to 0.

  • 2x^2-11x-7=0

Quadratic formula:

  • \displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}  

9. Factor using the quadratic formula.

  • \displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}

10. Multiply and simplify.

  • \displaystyle x = \frac{11 \pm \sqrt{177} }{4}

11. Plug this into your calculator and solve for x.

  • x=6.07603367 \approx 6.08
  • x=-0.57603367 \approx -0.58

The correct answer is A. x = 6.08, x = -0.58.

8 0
3 years ago
Find a solution to the following system of equations. -3x+3y=-9 -3x+y=7
V125BC [204]

Answer:

(-5, -8)

Step-by-step explanation:

-3x+3y=-9

-3x+y=7

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

simplify -3x+3y=-9 into x-y=3

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

y=x-3

-3x+y=7

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

-3x+(x-3)=7

-3x+x-3=7

-2x-3=7

-2x=7+3

-2x=10

x=10/-2=-5

y=-5-3=-8

x=-5, y=-8

3 0
3 years ago
What is 12.7 rounded to the nearest whole number
Sedbober [7]
12.7 rounded to the nearest whole number is 13. =)
3 0
4 years ago
Read 2 more answers
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