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3 years ago

11

293,154,259,267,276,263,389,253,224,215 What is the median of the set data?

1 answer:

elena-s [515]3 years ago

7 0

261, because you put in order from least to greatest then cross off, you'll get two numbers add them together then divide by two and get 261

You might be interested in

Which expression models the phrase “Wally mowed two more lawns than he mowed last week”?

VLD [36.1K]

Answer: n+2

Two lawns more than last week so two more than something with n being that something is; n+2

4 0

3 years ago

Read 2 more answers

The simple formula for the nth term of an arithmetic sequence is an = 5n + 15. What is the explicit formula corresponding to the

Nikitich [7]

Sequence will look like this:
Term 1: 20 --------- 20 + 5(0)
Term 2: 25 --------- 20 + 5(1)
Term 3: 30 --------- 20 + 5(2)
Term 4: 35 --------- 25 + 5(3)
ETC.

It cab noted that the numbers in the bracket (that is, 0, 1, 2, 3, 3, etc) = n-1

Then, the explicit formula will be;
an = 20 + 5(n-1).

The correct answer is D.

7 0

3 years ago

A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base.

noname [10]

Answer:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

Step-by-step explanation:

Given

$Volume = 128ft^3$

$L = 2W$

$Base\ Cost = \$9/ft^2$

$Sides\ Cost = \$6/ft^2$

Required

The dimension that minimizes the cost

The volume is:

$Volume = LWH$

This gives:

$128 = LWH$

Substitute $L = 2W$

$128 = 2W * WH$

$128 = 2W^2H$

Make H the subject

$H = \frac{128}{2W^2}$

$H = \frac{64}{W^2}$

The surface area is:

Area = Area of Bottom + Area of Sides

So, we have:

$A = LW + 2(WH + LH)$

The cost is:

$Cost = 9 * LW + 6 * 2(WH + LH)$

$Cost = 9 * LW + 12(WH + LH)$

$Cost = 9 * LW + 12H(W + L)$

Substitute: $H = \frac{64}{W^2}$ and $L = 2W$

$Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)$

$Cost =18W^2 + \frac{768}{W^2}*3W$

$Cost =18W^2 + \frac{2304}{W}$

To minimize the cost, we differentiate

$C' =2*18W + -1 * 2304W^{-2}$

Then set to 0

$2*18W + -1 * 2304W^{-2} =0$

$36W - 2304W^{-2} =0$

Rewrite as:

$36W = 2304W^{-2}$

Divide both sides by W

$36 = 2304W^{-3}$

Rewrite as:

$36 = \frac{2304}{W^3}$

Solve for $W^3$

$W^3 = \frac{2304}{36}$

$W^3 = 64$

Take cube roots

$W = 4$

Recall that:

$L = 2W$

$L = 2 * 4$

$L = 8$

$H = \frac{64}{W^2}$

$H = \frac{64}{4^2}$

$H = \frac{64}{16}$

$H = 4$

Hence, the dimension that minimizes the cost is:

$Width = 4ft$

$Height = 4ft$

$Length = 8ft$

8 0

2 years ago

After 8 points are added to each score in a sample.

mina [271]

I think it’s 32 because it’s more simple then it looks! It would just be 40-8??

4 0

2 years ago

What is 125/275 reduced to lowest terms?

Lyrx [107]

Answer:

5/11 is your answer.

Step-by-step explanation:

What you do is you need to find a number that goes in to both 125 and 275.

5 goes in to both of them.

125/5=25

275/5=55

25/55 This can still be reduced by 5.

25/5=5

55/5=11

5/11 is your answer.

4 0

3 years ago