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Lerok [7]
3 years ago
14

Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the

past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

369

Step-by-step explanation:

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Which of the following is equivalent to (x^2 − 9)(x + 2) − (x^2 + 4x + 4)(x − 5)?
Aleonysh [2.5K]

The correct answer is D.

7 0
3 years ago
An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
The area of a rectangle garden is 38 1/4 Square meters the width of the garden is 4 1/2 meters. Find the length of the garden
maxonik [38]
Area of rectangle it's the width multiply by the lenth.

A=W*L

A=38 1/4 m²
W=4 1/2 m²

So:                                                         38 1/4  = 4 1/2 * L
Dividing both sides by 4 1/2:          : 4 1/2         :4 1/2
                                                              38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12

Answer:  T<span>he length of the garden is 8 1/2 meters</span>
3 0
4 years ago
Someone help me with this table !!!!!!!
Artemon [7]

Answer:  The image of the completed table is shown below

In the completed table, we have the following values (left to right)

  • Row One: 30, 10, 40
  • Row Two: 15, 45, 60
  • Row Three: 45, 55, 100

==============================================

Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

Then we're further told that "Of the people who use mouthwash, 30 people use floss", so we'll write "30" in the first row, first column blank space. These are the people who both floss and use mouthwash. Because earlier we know 40 people use mouthwash overall, this leaves 40-30 = 10 people who use mouthwash, but they don't floss.

To summarize so far: In row 1, we have the following values from left to right: 30, 10, 40

The first two items of this row must add to the last item.

---------------------

Now onto row 2

Since 40 people use mouthwash, and 100 people were surveyed, this means that 100-40 = 60 people do not use mouthwash.  The value 60 goes at the very end of row 2. This represents another total.

Like earlier, the first two items must add to the last. So 40+60 = 100.

Now turn to the fact that "45 people responded that they don't floss and don't use mouthwash". This tells us that "45" will be in the "no mouthwash" row and "don't floss" column.

We have 60 people who don't use mouthwash, and 45 of those people also don't floss. Therefore, 60-45 = 15 people do floss but they don't use mouthwash. We'll write "15" in the second row, first column.

Along row 2, we have the following values: 15, 45, 60

----------------------

Row 3

For each column, add up the first two items to get the third one. This will lead to the totals along this bottom row.

  • Floss: 30+15 = 45
  • Don't Floss: 10+45 = 55 .... note how this matches up with the third piece of information your teacher provided

The third column is already done, but again we can see that 40+60 = 100.

Furthermore, the first two items of the third row add to 45+55 = 100 which helps confirm our answers.

The full completed table is shown below.

------------------------

To summarize, we are effectively just sorting the values given to us to write them into the table. Then we use a bit of algebraic detective work to find out what values are missing so we fill out the completed table.

7 0
3 years ago
8-7-6-5-4-3-2-1-0-1-2-3
Sindrei [870]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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