A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.

Which statement must be true about this situation?

A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.

Answer:

15

Step-by-step explanation:

30 + 4x=90

4x=60

x=15

Answer:

y = -1/2x + 2

Step-by-step explanation:

If you are talking about a linear equation then b=2

The slope is y2 - y1 / x2 - x1 so 2-0/0-4 = 2/-4 = -1/2

So put it all together in y = mx + b so y = -1/2x + 2

Answer:

The third one and the last one:

x²+6x+9=25

(x+3)²=25

Step-by-step explanation:

If you need an explanation tell me in comments <3

(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

What is a quadratic equation?

A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.

Given,

x² + 6x = 16

⇒ x² + 2 × 3 × x = 16

⇒ x² + 2 × 3 × x +9 = 16 + 9

⇒ (x)² + 2 × 3 × x +9 = 25

⇒ (x + 3)² = 25

⇒ x² + 6x + 9 = 25

Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.

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Answer:

yes. It's a right triangle.

Step-by-step explanation:

According to the Pythagoras theorem,

a² + b² = c²

20² + 21² = 29²

400 + 441 = 841

841 = 841

LHS = RHS

Answer:

(25x^2-1)

Step-by-step explanation:

I know the simplified form of (5x+1)(5x-1)=25x^2-1.

I know because I did the box method. So, I did 5x times 5x and got 25x^2. Then, I did 5x times 1 and got 5x. Next, I did -1 times 5x and got -5x. Next, I did -1 times 1 and got -1. Then, I took these terms I got in the box and put them together, and I got 25x^2+-5x+5x-1. I had to then simplify this equation. I added like terms.

In conclusion, the simplified form of (5x+1)(5x-1) is (25x^2-1).

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{a}{sin64}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = [tex]\frac{9.3sin64}{sin31}[/tex] ≈ 16.23 ( to 2 decimal places )

then to find b , using

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

[tex]\frac{b}{sin85}[/tex] = [tex]\frac{9.3}{sin31}[/tex] ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = [tex]\frac{9.3sin85}{sin31}[/tex] ≈ 17.99 ( to 2 decimal places )

Answer:

Slope= 1/2

y-intercept= -1

Step-by-step explanation:

So the formula that the equation is following is y=mx+b.

M stands for slope and b is the y-intercept.

Answer:

what? i need a table to answer

Step-by-step explanation:

Answer:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Step-by-step explanation:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Answer:

235.71cm^2

Step-by-step explanation:

Volume of cone = 1/3 pie r^2 h

1/3*22/7*5*5*9

= 235.71cm^2

Volume of a cone is 235.6 cm³.

The volume of a cone is calculated the using the formula:

[tex]V = \frac{1}{3} \pi r^{3} h[/tex]

Given,

         height of the cylinder is, h=9cm.

         The diameter of the base is 10cm. r = 5 cm

    put the values into the formula to get -

          V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]

         [tex]V = 75 \pi[/tex]

Put value of π = 3. 14 ,

          V = 75 * 3.14

           V =  235.6 cm³

Therefore, Volume of a cone is 235.6 cm³.

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Answer:

Linear Function

Step-by-step explanation:

I just took the test and got it right.

Answer:

8.17307692308

Step-by-step explanation:

7,488 divided by 416 is 18 (:

Answer:

A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

B: 15 square units

Step-by-step explanation:

A:

Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)

B

The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.

The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.

The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24

The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.

The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9

The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units

Answer:

6.3 & -6.3

Step-by-step explanation:

6.3 is the same as -6.3, hope this helps

Answer:

-6.3 and 6.3

Step-by-step explanation:

-6.3 is same as 6.3 is absoulte value

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

answer: i think i failed this part in class

Answer:

Step one: say "5"

Step two: say "40"

Done.

Answer:

4.55

Step-by-step explanation:

AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.

My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.

As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:

Answer: 20 inches

Step-by-step explanation:  You will use the equation 48 x 28 x N = 26,880. To find the solution divide 48 and 28 from 26,880 to get N. To check your work just multiply what you got from N by 48 and 28.

Answer:

Step-by-step explanation:

a

Answer:

You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.

The 3 deals are worth the same price per unit of $0.1 a pencil.

Based on the given prices, we can calculate the price per pencil for each pack:

       Price per pencil = $1.29 / 12 = $0.1075 (approximately $0.11)

       Price per pencil = $2.35 / 24 = $0.0979 (approximately $0.10)

       Price per pencil = $5.45 / 50 = $0.109 (approximately $0.11)

In other words, the 3 deals are worth the same price per unit of the pencil.

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Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

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The Distance between point A and Point B is √10 units.

Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, Coordinates of A is (1, 8) and B is (4, 9).

Distance formula = √(x₂-x₁)² + (y₂-y₁)²

                              = √(4 - 1)² + (9 - 8)²

                             = √9 +1

                   AB     = √10

Thus, the Distance between point A and Point B is √10 units.

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Answer:

C. 4i

Step-by-step explanation:

Answer:

C. 4i

Step-by-step explanation:

[tex]\sqrt{-16} = \sqrt{16} \sqrt{-1}[/tex] (because [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex])

Since [tex]\sqrt{16}[/tex]=4, and [tex]\sqrt{-1}[/tex]=i, [tex]\sqrt{-16}[/tex]=4i

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104