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Alexxx [7]
3 years ago
9

Set up the inequality of $3.000 and $15

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

  $3.00 < $15.00

Step-by-step explanation:

It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...

  $3.00 < $15

  $3,000 > $15

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Zack used 4 centimeters of tape to wrap 2 presents. How many presents did Zack
sveta [45]

Answer:

7 presents

Step-by-step explanation:

He can wrap the 7 very small presents with that amount of tape

6 0
3 years ago
a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find
IgorLugansk [536]
<h2>Greetings!</h2>

Answer:

One number is \frac{5}{7} and the other number is \frac{1}{7}

Step-by-step explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x = \frac{1}{7}

6x + 3y = 3

6(\frac{1}{7}) + 3y = 3

\frac{6}{7} + 3y = 3

3y = 3 - \frac{6}{7}

3y = \frac{15}{7}

Divide both sides by 3 to get 1y:

y = \frac{5}{7}

So one number is \frac{5}{7} and the other number is \frac{1}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
Let f(x) = x + 8 and g(x) = x2 − 6x − 7. find f(g(2)). −7 −3 10 33 open study
Ray Of Light [21]
F(g(2))

g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7
g(2) = 4 - 12 - 7
g(2) = -15

f(x) = x + 8
f(g(2) = f(-15) = -15 + 8 = -7 <==

ur answer is -7
6 0
3 years ago
A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . How long is each side of th
MariettaO [177]

Answer: The length of each side of the building block is 0.56 feet

Step-by-step explanation:

A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . Each of the building blocks has 6 faces which are squares, 8 vertices and 12 edges.

Since a square has all sides to be equal sides,

The volume of the cube = the volume of the building block =

Product of length,L, width, W and height, H.

Volume of the building block = L × W × H

Since length = width = height,

Volume of cube = L^3

From the information given,

Volume of a building block = 125/729ft cubed

L^3 = 125 / 729

Taking cube root of both sides of the equation,

L = cube root of 125/729

L = 5/9

= 0.56 feet

4 0
3 years ago
Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence
Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In this problem, we have that the parameters are given as follows:

M = 3, z = 1.645, \sigma = 16.

Hence, solving for n, we find the sample size.

M = z\frac{\sigma}{\sqrt{n}}

3 = 1.645\frac{16}{\sqrt{n}}

3\sqrt{n} = 1.645 \times 16

\sqrt{n} = \frac{1.645 \times 16}{3}

(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2

n = 76.97

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0
2 years ago
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