Mary wants to study the popularity of tropical juices, so she randomly records the number of tropical juices sold in six days in the last month. 5;12;7;6;9;8 In order to measure the spread of the data, what is the sample standard deviation? 6.12 2.48 9.77 4.57

Answer:

Step-by-step explanation:

Start (*C) Change(*C) Final Temperature (*C)

a -20 30 degrees warmer 10

b -20 35 degrees warmer 15

c -20 15 degrees warmer -5

d -20 15 degrees colder -35

Number line diagrams:

a. Starting from -20C, a 30 degrees warmer temperature change takes the final temperature to 10C.

-40 -30 -20 -10 0 10

-------->

b. Starting from -20C, a 35 degrees warmer temperature change takes the final temperature to 15C.

-40 -30 -20 -10 0 10 20

----------->

c. Starting from -20C, a 15 degrees warmer temperature change takes the final temperature to -5C.

-40 -30 -20 -10 0 10

------->

d. Starting from -20C, a 15 degrees colder temperature change takes the final temperature to -35C.

-40 -30 -20 -10 0 10 20 30 40

<----------

The ratios 2/3 and 5/6 are not equivalent.

To determine whether the ratios 2/3 and 5/6 are equivalent, we can simplify both ratios and compare them.

Let's simplify the first ratio, 2/3:

There are no common factors between 2 and 3, so the ratio is already in its simplified form.

Now let's simplify the second ratio, 5/6:

Both 5 and 6 have a common factor of 1, so we can't simplify the ratio further.

Comparing the simplified ratios, we have 2/3 and 5/6. To check if they are equivalent, we can cross-multiply and see if the products are equal:

2 * 6 = 12

3 * 5 = 15

Since 12 is not equal to 15, the ratios 2/3 and 5/6 are not equivalent.

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Answer:

x = 3

Step-by-step explanation:

Step 1: Write equation

4x + 6x - 7 = 23

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

4(3) + 6(3) - 7 = 23

12 + 18 - 7 = 23

30 - 7 = 23

23 = 23

The value of x that satisfies the equation 4x + 6x - 7 = 23 is x = 3.

An equation is a mathematical statement that asserts the equality between two expressions.

Given: equation 4x + 6x - 7 = 23.

1. Combine like terms on the left side of the equation:

4x + 6x - 7 = 10x - 7

2. Move the constant term (-7) to the right side of the equation by adding 7 to both sides:

10x = 23 + 7

10x = 30

3. Divide both sides of the equation by 10 to isolate x:

x = 30/10

x = 3

Therefore, the value of x is x = 3.

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9514 1404 393

Answer:

  B.  9

Step-by-step explanation:

This is probably most easily evaluated by finding f(4) and then g(f(4)).

  \((g\circ f)(4)=g(f(4))=g(-4^3)=g(-64)\\\\=\left|\\\dfrac{1}{8}\cdot(-64)-1\right|=\left|-\dfrac{64}{8}-1\right|=|-9|\\\\\boxed{(g\circ f)(4)=9}\qquad\textbf{matches B}\)

The transformation that results in an image that is perpendicular to the line X=3 is a reflection over the y-axis.

Generally, This transformation flips the coordinates of the points on the line over the y-axis, resulting in a new line with an equation of the form X=-3. The original line and its image are perpendicular to each other because they are mirror images of each other across the y-axis, and lines that are perpendicular to the y-axis are parallel to the x-axis.

To perform this transformation, you would first locate the y-axis on the coordinate plane, and then draw a line through the point (3,0) on the original line that is perpendicular to the y-axis.

This line will intersect the y-axis at a point halfway between the y-axis and the original line. You can then draw a line through this point that is parallel to the original line, and this will be the image of the original line after the reflection.

You can also perform this transformation by first rotating the line 180 degrees about the origin, and then translating it so that it is reflected over the y-axis. This will result in the same image as the reflection described above.

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Answer:

The missing information for the proof is:

- Point D' will coincide with point D, since it is on the perpendicular bisector of CD and the same distance from it (and that's the definition of reflection!).

- Point C" will coincide with point C, since it is on the perpendicular bisector of CD and the same distance from it (and that's the definition of reflection!).

- Angle ADC will be taken onto angle ACD, since they are corresponding parts under the same reflection. Therefore, they are congruent.

Let's suppose that Tom drives x miles. Then, the total cost of the first plan will be:

C1 = 53.96 + 0.13x

And the total cost of the second plan will be:

C2 = 43.96 + 0.18x

To find how many miles Tom needs to drive for the two plans to cost the same, we need to solve the following equation:

53.96 + 0.13x = 43.96 + 0.18x

Simplifying:

10 = 0.05x

x = 200

Therefore, Tom needs to drive 200 miles for the two plans to cost the same.

Answer:

62-16x=-4+6x

66=22x

x=3

18-4=14

CD=14

Step-by-step explanation:

the midpoint means that EF=FC

And EG=GD

when you find this out in traingle that means

2FG=CD

so the x=3

and CD equal 14

have a great day

Answer:

they are not similar

Although 12 can go into 6, 9 cannot go into 4.

Answer:

3/2 x + 5/3

Step-by-step explanation:

1/4x + 1 + 3/4x + (2/3) + (1/2x) =

= 1/4 x + 3/4 x + 1/2 x + 1 + 2/3

= 1/4 x + 3/4 x + 2/4 x + 3/3 + 2/3

= 6/4 x + 5/3

= 3/2 x + 5/3

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

\(\sqrt{13}\)

Step-by-step explanation:

d = √(7-4)²+(3-1)²

= √3²+2²

= √9+4

= √13

Answer:

Look Below

Step-by-step explanation:

m<1 could be 30

m<2 could be 60

m<3 could be 30

Answer: Heres the screenshot

Step-by-step explanation:

The responses for the quotient given to the nearest thousandths are

presented in the order of the of the questions as follows;

\(Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}\)

\(Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}\)

\(Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}\)

\(Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}\)

\(Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}\)

Reasons:

4. The division is presented as follows;

\(\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3\)

Given that we have;

\(\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333\)

Therefore;

\(\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}\)

2. The division is presented as follows;

\(\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555\)

Therefore;

\(\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}\)

5. The division is presented as follows;

\(\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}\)

\(\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}\)

3. The division is presented as follows;

\(\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}\)

Therefore;

\(\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}\)

6. The division is presented as follows;

\(\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750\)

Therefore;

\(\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}\)

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Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

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Answer:

A) -6x+3y = 27

B) -5x-3y = -16 We add the 2 equations

-11x = 11

x = -1

Putting 1 into equation B)

5 -3y = -16

-3y = -21

y = 7

Step-by-step explanation:

Answer:

x = y = 15\(\sqrt{2}\)

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = \(\frac{\sqrt{2} }{2}\) , then

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{30}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2x = 30\(\sqrt{2}\) ( divide both sides by 2 )

x = 15\(\sqrt{2}\)

The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so

y = x = 15\(\sqrt{2}\)

Answer:

... is this a question ???

Answer:

The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.

Step-by-step explanation:

Mark me brainliest pls

The general solution can be expressed as an explicit function of x as follows:

y = (1)/(16) ln |1+2⁴y| + (C)/(16)y - (1)/(16) ln |1+2⁴y| = (C)/(16)

Given differential equation is:

dy/dx=5(2+2^4y)x

We need to solve this differential equation using separation of variables method.

So, first, separate the variables.

Divide both sides by 5(2+2⁴y) to obtain:

(1)/(2+2^4y) dy/dx = x

Or, 2+2⁴y = 2(1+2⁴y) = 2(1+z) where, z=2⁴y+1.

Then, substitute in the integral:

(1)/(2+2^4y) dy = x dx

Integrating both sides and solving for y gives:

y = (1)/(16) [ ln |z| + C ] where, C is a constant of integration (independent of x).

After substituting back for z and simplifying,

y = (1)/(16) ln |1+2⁴y| + (C)/(16)

Thus, the general solution can be expressed as an explicit function of x as follows:

y = (1)/(16) ln |1+2⁴y| + (C)/(16)y - (1)/(16) ln |1+2⁴y| = (C)/(16)

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The probability of Henry choosing a Milky Way and then a Snickers is 2/27.

1. First, let's find the total number of candy pieces in Henry's candy jar:
3 Snickers + 1 Reese's + 1 Twix + 2 Milky Ways + 2 Skittles Packs = 9 pieces of candy.

2. Next, we'll calculate the probability of choosing a Milky Way on the first pick:
There are 2 Milky Ways and 9 total pieces of candy, so the probability is 2/9.

3. Since Henry puts the candy back, there are still 9 pieces of candy for the second pick. Now, we'll calculate the probability of choosing a Snickers on the second pick:
There are 3 Snickers and 9 total pieces of candy, so the probability is 3/9 (or 1/3).

4. Finally, we'll multiply the probabilities of each individual event to find the probability of both events occurring together (choosing a Milky Way and then a Snickers):
(2/9) * (1/3) = 2/27

So, the probability of Henry choosing a Milky Way and then a Snickers is 2/27.

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Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

Answer:

$45.00

Step-by-step explanation:

154% → $69.30

100% → $69.30 x 100/154 = $45.00

If a bike store sells scooters at a 54% markup. If the store sells each

scooter for $69.30 then their non-markup price is $45.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A bike store sells scooters at a 154% markup

154% of non mark up price is equal to the price of each scooter.

Convert 154% to the decimal value by dividing 100

154/100=1.54

Let x be the non mark up price

1.54×x=69.3

Divide both sides by 1.54

x=69.3/1.54

x = 45

Hence $45 is their non-markup price.

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Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

Cute Root: C

Exponential: D

Logarithmic: A

A function assigns the value of each element of one set to the other specific element of another set. The options can be matched with the function as C, D, and A, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of different functions is mentioned below.

Hence, the options can be matched with the function as C, D, and A, respectively.

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The rectangle has a greater perimeter than the triangle.

To determine whether the triangle or the rectangle has a greater area and which one has a greater perimeter, we need to follow these steps:

Step 1: Obtain the dimensions of the triangle and the rectangle.

Let's assume the triangle has a base (b) and height (h), and the rectangle has length (L) and width (W).

Step 2: Calculate the area of both shapes.

Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * b * h

Area of rectangle = length * width
Area of rectangle = L * W

Step 3: Compare the areas to determine which shape has a greater area.

If (1/2 * b * h) > (L * W), then the triangle has a greater area.
If (1/2 * b * h) < (L * W), then the rectangle has a greater area.

Step 4: Calculate the perimeter of both shapes.

Perimeter of triangle = side1 + side2 + side3
Let's assume the triangle sides are a, b, and c.
Perimeter of triangle = a + b + c

Perimeter of rectangle = 2 * (length + width)
Perimeter of rectangle = 2 * (L + W)

Step 5: Compare the perimeters to determine which shape has a greater perimeter.

If (a + b + c) > (2 * (L + W)), then the triangle has a greater perimeter.
If (a + b + c) < (2 * (L + W)), then the rectangle has a greater perimeter.

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Based on the instructions given, the next step would be to subtract 40 to the current number.

Initial number: 5.

Subtract 40: Assuming we start with the number 5, subtracting 40 would give us -35.

Subtract 5: If we take the result from step 2 (-35) and subtract 5, we would have -40.

At this point, the current number is -40. The next step you provided is "A - Subtract 40

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Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.

However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.

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The table provided requires the completion of statistics related to density and volume calculations for five objects.

Density Calculation:

To calculate density, we need to divide the mass of an object by its volume. The formula for density is:

\(\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]\)

In this case, the table requires the density statistics for five objects. To obtain these statistics, you need to determine the density of each object using the given data and formulas.

The density values for the objects will then be used to calculate statistics such as average density, standard deviation, and coefficient of variation.

Volume Calculation:

To calculate the volume of an object, we typically use the formula that corresponds to the shape of the object. Different objects may require different formulas for volume calculation. In the given table, you are required to calculate the volume delivered in each trial.

To obtain the volume statistics for the five objects, you need to calculate the volume of each object using the given data and appropriate volume formulas. The volume values for the objects will then be used to calculate statistics such as average volume, standard deviation, and coefficient of variation.

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