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Papessa [141]
3 years ago
5

Did i do this correct and i need help for the last question urgent

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0

Answer:

Correct so far.

The median score must be between positions 32 and 33 on the table.

The median score is 72.

Step-by-step explanation:

Correct so far.

The median score must be between positions 32 and 33 on the table.

The median score is 72.

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The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in squ
baherus [9]

Answer:

So length of top of table is 3x-7 inches.

Step-by-step explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

Area=6x^{2}-14x

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

A=l*w

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

6x^{2}-14x=l*2x

Dividing by 2x,

l=3x-7 inches

So length of top of table is 3x-7 inches.

8 0
3 years ago
Read 2 more answers
Can someome explain to me how to do 16 and 17? Thank you so much!
I am Lyosha [343]
16) First solve like a normal equation.
3|x/9| - 1 = 2
3|x/9| = 3
|x/9| = 1
Now just separate into two equations:
x/9 = 1
x/9 = -1
So x = 9, -9

17) Solve like normal:
-4 - 2|b - 10| = -6
-2 |b - 10| = -2
|b - 10| = 1
Now just separate into two equations:
b - 10 = 1
b - 10 = -1
So then b = 11, 9
7 0
3 years ago
The table shows some values of a function of the form y = ax2 + bx + c.
nadezda [96]

Answer:

  c = 5

Step-by-step explanation:

We can find a, b, c by filling in values from the table into the equation:

  17 = a(2²) +b(2) +c

  32 = a(3²) +b(3) +c

  53 = a(4²) +b(4) +c

__

There are numerous ways to solve 3 linear equations in 3 unknowns. We can use elimination.

Subtracting the first equation from each of the other two, we get ...

  15 = 5a +b . . . . . . . . . note that c has been eliminated from the equations

  36 = 12a +2b

Subtracting twice the first from the second gives ...

  (12a +2b) -2(5a +b) = 36 -2(15)

  2a = 6

  a = 3

__

Now that we have a value for "a", we can "back substitute" into the equations to find "b" and "c".

Substituting this into 15 = ..., we get ...

  15 = 5(3) +b

  0 = b

And substituting for "a" and "b" in the first original equation gives ...

  17 = 4(3) +c

  5 = c

The value of c, the constant of the function, is 5.

8 0
3 years ago
The following table gives projections of the U.S. population from 2000 to 2100.
PSYCHO15rus [73]

The equation of best fit is f(X) = 2.91964X + 265.86364.

f(65) = 455.64024. It means that the population, in millions, after 65 years from 2000 is 455.64024.

The slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Sum of X = 550

Sum of Y = 4530.3

Mean X = 50

Mean Y = 411.8455

Sum of squares (SSX) = 11000

Sum of products (SP) = 32116

Regression Equation = y = bX + a

b = \frac{SP}{SSX} = \frac{32116}{11000} = 2.91964

a = MY - bMX = 411.85 - (2.92*50) = 265.86364

y = 2.91964X + 265.86364

f(X) = 2.91964X + 265.86364

f(65) = 2.91964\times 65 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 455.64024

It means that the population, in millions, after 65 years from 2000 is 455.64024.

From the equation, f(X) = 2.91964X + 265.86364

the slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Learn more about line of best fit here:

brainly.com/question/14279419?referrer=searchResults

3 0
2 years ago
During a storm, the distance in feet between the lightning and your location was represented by f(x) = 1,200x, where x is the nu
Gnom [1K]

Answer:4800'

Step-by-step explanation:

It is 4800' because x = the number of seconds between the lightning and thunder and 1,200 is in feet. so, if there is four seconds between the time of the lightning and thunder then you can use the equation given f(x) or 1,200(x) to solve it. to do this you supplement the x with 4 which gives you 1,200(4) or the same as 1,200 · 4 = 4800ft.

5 0
3 years ago
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