He spent $25 on a box of candy bars and sold them for $2 each. If his profit (after earning back the $25) was $69, how many candy bars did Leo sell?

Which equation can be used to solve the problem?


​

Given the data set:

• You can find the Mean by adding all the values and dividing the sum by the number of values in the data set:

• By definition the term for the third quartile can be found with this formula:

Where "n" is the number of observations.

In this case:

Then:

Since it is an integer, you get that the position of the terms is:

Because, when you order the data set, 69 is the 19th value and 71 is the 20th value. Then, the third quartile is the average between them:

• By definition:

And the term position of the first quartile is found with:

You get:

Therefore, you can determine that:

Then:

• By definition, the Five-Number Summary is:

- The minimum value:

- The first quartile:

- The median:

- The third quartile:

- The maximum value:

Hence, the answers are:

• Mean:

• IQR:

• Five-Number Summary:

• Third quartile:

The given expression is factored as \(4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

Given expression: \(28v^{7}x^{3}y^{6}-12v^{9} x^{9}\)

In order to factorize the given expression, take out the common terms and then simplify further.

\(28v^{7}x^{3}y^{6}-12v^{9} x^{9}=4v^{7} x^{3} (7y^{6} -3v^{2} x^{6} )\)

In mathematics, a factor is a divisor of a given integer that divides it exactly, leaving no leftover.

A number can have either positive or negative factors.

A number has a finite number of factors.

A number's factor will never be more than or equal to the provided number.

Every number contains at least two factors, 1 and the actual number, with the exception of 0 and 1.

Finding a number's factors involves using the division and multiplication operations.

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Answer:

56.57 yards (rounded to the nearest hundredths)

Step-by-step explanation:

Well follow Pythagorean theorem

20^2+b^2=60^2

400+b^2=3600

B^2= 3200

√3200=56.57 (rounded)

Answer:

100

Step-by-step explanation:

You're correct :) good job

Answer:25-10=15

Step-by-step explanation:

25-10

Answer:

\( \sqrt{245} \: and \: \sqrt{135} \)

Step-by-step explanation:

When the number is converted back into the radical , the root factor i.e. 2 in first question and 3 in second question is taken as an exponential value and it is powered to the exponent . So , it becomes

\( \sqrt{ {7}^{2} \times 5} \: and \: \sqrt{ {3}^{3} \times 5 } \)

\( \sqrt{49 \times 5 } \: and \: \sqrt{27 \times 5} \)

\( \sqrt{245 } \: and \: \sqrt{135} \)

Answer:

Step-by-step explanation:

When the number is converted back into the radical , the root factor i.e. 2 in first question and 3 in second question is taken as an exponential value and it is powered to the exponent . So , it becomes

Step-by-step explanation:

Answer:

D. -1.5 cm/hour

Step-by-step explanation:

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Using the coordinates of the two points on the line, (0, 18) and (4, 12),

Let,

\( (0, 18) = (x_1, y_1) \)

\( (4, 12) = (x_2, y_2) \)

Plug the values into the formula for rate of change.

Rate of change = \( \frac{12 - 18}{4 - 0} \)

\( = \frac{-6}{4} \)

Simplify

\( = \frac{-3}{2} = -1.5 \)

Rate of change = -1.5 cm/hour

A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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Answer:

(10, -10)

Step-by-step explanation:

This are the farest the graph can go unless you want (100,-100)

Change the values from negative to positive and positive to negative to get the most farest results

Answer: D

Step-by-step explanation:

I graphed so you can see.  Count how far each are away.

(5,8) is 12 away

(-7,-5) is 13 away

So you answer is D

Or

You can also think of it as, for, (5, 8)  only the x changed so you only moved in the x direction.  subtract the numbers 5-(-7)=12

For (-7,-5) you only moved in the y direction, so subtract those 8-(-5)=13

Answer: 2xy • (4x - 5y)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 ((8 • (x2)) • y) -  (2•5xy2)

STEP 2:

Equation at the end of step 2:

 (23x2 • y) -  (2•5xy2)

STEP 3:

STEP 4:

Pulling out like terms

4.1     Pull out like factors :

  8x2y - 10xy2  =   2xy • (4x - 5y)

Final result :

 2xy • (4x - 5y)

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer: 38.23 units

Step-by-step explanation:

GH = 7.81

HI = 13.42

GI = 17

P = GH + HI + GI = 38.23 units

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Since two-way table shows the distribution of high school students The correct option is C: No, events A and B are not independent because P(A) ≠ P(A|B).

To determine whether events A and B are independent, we need to compare the probability of event A occurring without any knowledge of event B (i.e., P(A)) to the probability of event A occurring given that event B has occurred (i.e., P(A|B)).

From the table, we see that P(A) = 8/32 = 1/4, since there are 8 juniors out of a total of 32 students. Also, P(B) = 8/32 = 1/4, since there are 8 students who prefer earbuds out of a total of 32 students.

From the table, we see that the probability of both events A and B occurring is P(A and B) = 4/32 = 1/8, since there are 4 juniors who prefer earbuds out of a total of 32 students.

Now, to calculate P(A|B), we use the formula:

P(A|B) = P(A and B) / P(B)

Substituting the values we have, we get:

P(A|B) = (1/8) / (1/4) = 1/2

Since P(A) = 1/4 and P(A|B) = 1/2, we can see that P(A) ≠ P(A|B). Therefore, events A and B are not independent.

Therefore, the answer is No, P(A) ≠ P(A|B).

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Answer:91.875

Step-by-step explanation:

A pound contains 16 ounces

1 gram contains 1000mg

1.47*1000=1470

Which means 1 pound contains 1470 mg

1 ounce contains 1470/16 =91.875 mg

Answer:

yes

0x=no x

x has no value in this case

Answer:

  20.7 cm

Step-by-step explanation:

Given the bow-tie shaped figure shown, you want the measure of side DE.

The ratio of sides DC:AC is 16/24 = 2/3. The ratio of sides EC:BC is 19/31, which is not 2/3. This means the triangles are not similar.

In triangle ABC, two sides and an angle are given, which is sufficient information to solve that triangle. In triangle CDE, two sides are given, so we need at least one angle in order to solve that triangle.

The angle we can find is angle DCE, which is a vertical angle to ACB, so congruent to it.

With the sides given in ∆ABC, we can solve for angle B using the Law of Sines, then use the sum of angles in a triangle to find the interior angle at C.

Once we know interior angle C, we can use the Law of Cosines to solve for DE.

  sin(B)/AC = sin(A)/BC

  sin(B) = AC/BC·sin(A) = 24/31·sin(64°) ≈ 0.695841

  B ≈ 44.0942°

Then angle C is ...

  C = 180° -64° -44.0942° = 71.9058°

  DE² = CD² +CE² -2·CD·CE·cos(C)

  DE² = 16² +19² -2·16·19·cos(71.9058°) ≈ 428.167

  DE ≈ √428.167 ≈ 20.692

The length of DE is about 20.7 cm.

__

Additional comment

The first attachment shows the figure drawn to scale.

The 2nd and 3rd attachments show triangle solver solutions to the triangles. The angle measure 71.906° was copied from the first solution to the second. In the above calculation, we used full calculator precision throughout, rounding at the end.

The cross-section of the cylinders and cones is always round.

The cross-sectional area is the region of a two-dimensional shape produced when a three-dimensional object, such as a cylinder, is cut perpendicular to a preset axis at a point.

A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been solid in three dimensions. In elementary geometry, it is regarded as a prism with a circle as its basis.

A three-dimensional geometric shape known as a cone has a flat base and a smooth, tapering vertex. A cone is made up of several line segments, half-lines, or lines that connect to a single point.

As a result, the cross sections of the cones and cylinders are always round.

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Answer:

meeee plzzzzzzz even thow i have no idea whta that ios

Step-by-step explanation:

Answer: A, B, D

Step-by-step explanation:

There is a unique value of y for each value of x.

Answer:

9

Step-by-step explanation:

x-5+7=11

First think of what +7 = 11 then subtract by 5

check  :)

The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

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In analyzing the relationship between two variables, a scatter plot cannot be used to detect A casual relationship.

Scatterplots:

Scatterplots can be used when one continuous variable is under the control of the experimenter and the other is dependent on it, or when both continuous variables are independent. When one parameter is systematically increased and/or decreased by the other, it is called the control parameter or independent variable and is usually plotted along the horizontal axis. Measured or dependent variables are usually plotted along the vertical axis. In the absence of a dependent variable, any type of variable can be plotted on any axis and the scatter plot he only shows the degree of correlation (not causality) between the two variables. Scatterplots can suggest different types of correlations between variables with specific confidence intervals.

For example, weight and height are displayed on the y-axis and height on the x-axis. Correlation can be positive (increase), negative (decrease), or zero (no correlation). If the dot pattern slopes downwards from the lower left to the upper right, this indicates a positive correlation between the investigated variables. If the dot pattern slopes from top left to bottom right, it indicates a negative correlation. We can draw a line of best fit (also called a "trend line") to explore the relationship between variables. The formula for correlation between variables can be determined by established best-fit methods. For linear correlation, the optimal procedure is called linear regression, which guarantees a correct solution in finite time. There is no one-size-fits-all procedure that guarantees the correct resolution in any relationship. Scatterplots are also very useful for seeing how two comparable data sets match up to show non-linear relationships between variables. The ability to do this can be improved by adding smooth lines like losses.

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Answer:

Hope you can understand my handwriting though

Answer:

all real numbers

only the range value is with a minimum of -1 and a maximum of 1 unless there's a vertical shift.

The domain of the sine and cosine functions are all real numbers

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the domain of the function be represented as D

Now , the functions are

f ( x ) = sin x

g ( x ) = cos x

where the trigonometric functions have the range as [ -1 , 1 ]

And , sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle

Therefore , the value of D is all real numbers

Hence , the domain is all real numbers

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