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Novay_Z [31]
2 years ago
10

You are competing in a race. The table shows the times from last year's race you want your time to be last year's median time wi

th an absolute
deviation of at most 5 minutes. Complete the inequality to represent the time in minutes) you hope to achieve​

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
4 0

Answer:

27\leq x \leq37

Step-by-step explanation:

Let's arrange the numbers from least to greatest:

20, 25, 27, 28, 31, 32, 32, 38, 40, 40, 42, 48

The median is the "middle" number when arranged from least to greatest.

There are 12 numbers, so the middle number would be "average" of 6th and 7th terms.

6th term = 32

7th term = 32

Average = (32+32)/2 = 32

Hence, median = 32

Absolute deviation of 5 minutes means 5 minutes less or greater than the median, 32.

So, 32 - 5 = 27  &  32 + 5 = 37

Hence  27\leq x \leq37

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14.4% of what number is 10.4
Helga [31]
First, convert "of" to x and put this info into an equation:

Let n represent the unknown number.  

14.4 % x n= 10.4
              n = 10.4 / 14.4%
              n = 72.22222
              n = ~72

Hope this helps!
8 0
3 years ago
PLEASE HELP GIVING BRAINLIEST 25 POINTS!
tatiyna

Answer:

nearest tenth= 5.4

Step-by-step explanation:

55 ÷ 10.1= 5.44554455446.

8 0
2 years ago
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a metal rod 9.4 meters long is cut into two piecew. One piece is 3 times as long as the other m. find the length of the longer p
Grace [21]
x-shorter\ piece\\3x-longer\ piece\\\\x+3x=9.4\\4x=9.4\ \ \ \ \ |:4\\x=2.35\\\\3\cdot2.35=7.05\approx7.1\\\\The\ longer\ piece\ has\ 7.1\ meters
8 0
3 years ago
Jayden just graduated from college and owes $19,400 on his student loans. The
ELEN [110]

Answer:

M=19400(1.5)/1-(1+1.5)-(15x12)

M=28917.50

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6 0
3 years ago
Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b
Tomtit [17]
"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable x^2 - 6x .

"Add 9 to both sides of x^2 - 6x = 7 to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is: c =  {\frac{b}{2}  }^{2} .
When we plug the values: c =  { \frac{ - 6}{2} }^{2}
Simplify: c =  {( - 3)}^{2}  = 9

"Write the trinomial x^2 - 6x + 9 as (x - 3) squared."
When you factor x^2 - 6x + 9 , you will get (x - 3) \times (x - 3) .

"Use the square root property of equality to get x - 3 = ±  \sqrt{16} ."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.

"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign:
x - 3 = 4 \: \:  \:  x = 4 + 3 = 7 \\  \\ x - 3 =  - 4 \:  \:  \: x =  - 4 + 3 =  - 1
8 0
2 years ago
Read 2 more answers
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