Make a list of 5 numbers with a mean of 12 and a mode of 15

A digit in the hundredths place has ten times the value of the same digit in the thousands place

bagirrra123 [75]

That is true very good

5 0

3 years ago

Jennifer, Luis, Robert, Anna, and Tonya are figuring out how to split the check for lunch.

kramer

8 + 15 = 23

23 - 65.45 = 42.46.

The rest of the people in the group split $42 and 46 cents.

Hope this helped!!

6 0

3 years ago

Read 2 more answers

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

2 years ago

Brandon has 32 stamps. He wants to display the stamps in rows, with the same number of stamps in each row. How many different wa

aniked [119]

Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.

8 0

3 years ago

Read 2 more answers

If you can explain your answer that’d be great!! Thank you!

Rasek [7]

Answer:

$A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}$

Step-by-step explanation:

This half life exponential decay equation goes by the formula:

$A(t)=A_{0}e^{kt}$

Where

$k=\frac{ln(\frac{1}{2})}{Half-Life}$

Since half life is given as 22, we plug that into "Half-Life" in the formula for k and then plug in the formula for k into the exponential decay formula:

So,

$k=\frac{ln(\frac{1}{2})}{Half-Life}\\k=\frac{ln(\frac{1}{2})}{22}$

Now

$A(t)=A_{0}e^{\frac{ln(\frac{1}{2})}{22}t}$

third choice is correct.

8 0

3 years ago