Sally bought a bag of candies and sorted them by color. She had 9 red candies, 43 orange candies, and 14 yellow candies. How many total candies were in the bag?

If a man loses 10 percent by selling his watch for 450 then the cost price of the watch would be 500.

Let's assume the cost price of a watch is 100.

So, after selling at a loss of 10 percent, the selling price of the watch is 90.

By comparing the assumed selling price of the watch with the original selling price, 450/90 = 5.

So, the original selling price is 5 times the assumed selling price.

Thus original cost price should also be 5 times of assumed cost price, so  the original cost price × 5 = 100 × 5 = 500.

Hence the original cost price of the watch is 500.

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Ray's car will use 4.68 kiloliters of gasoline and travel 39.54 kilometers

Every week, Ray fills his car with 45 liters of gasoline. To calculate the total amount of gasoline used by Ray's car over two years, we must first convert liters to kiloliters. One kiloliter is equal to 1,000 liters, so 45 liters is equal to 0.045 kiloliters. Therefore, in two years, Ray's car will use 0.045 kiloliters x 104 weeks (2 years x 52 weeks per year) = 4.68 kiloliters of gasoline.

To calculate how many kilometers the car will travel with 4.68 kiloliters of gasoline, we need to know the car's fuel efficiency rating. Assuming the car has an average fuel efficiency rating of 8.5 kilometers per liter, we can calculate that the car will travel 8.5 kilometers x 4.68 kiloliters = 39.54 kilometers with 4.68 kiloliters of gasoline.

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Answer: 15.5

Step-by-step explanation:

H = A/B

= 186/12

= 15.5

From the given information provided, the area of the new hexagon when dilated by scale factor is 675 square inches.

When a polygon is dilated by a scale factor of k, its area is multiplied by k².

A hexagon is a six-sided polygon. It is a flat shape with straight sides, and all six of its angles add up to 720 degrees.

In this case, the hexagon is being dilated by a scale factor of 3, so the area of the new hexagon will be:

Area of new hexagon = (scale factor)² x Area of original hexagon

Area of new hexagon = 3² x 75

Area of new hexagon = 9 x 75

Area of new hexagon = 675 square inches

Therefore, the area of the new hexagon is 675 square inches.

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The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.

We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).

This means that h = 1/2 and k = -1/2.

The radius of the circle is r = square 2 divided by 4.

We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.

Now we can substitute these values into the standard form equation to get:

(x - 1/2)² + (y + 1/2)² = 1/8

So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.

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Answer:

−18 x + 12

Step-by-step explanation:

multiply using the distributive property

Answer:

-2(9x-6)

-2 divided by 9x = - 18

-2 divided by - 6 = 12 (negative + negative =positive)

= - 18x +12

Answer: I think It is 63.64%. If I'm wrong I'm sorry.

Step-by-step explanation:

Ask yourself what is 56% out of 88%. I did it in my head, but I got 63.6363636% then I rounded it to 63.64%.

The answer is 30 people. Becky can serve  30 people. (Option 4).

To find the number of people Becky can serve, we need to divide the total amount of chocolate mousse she has by the amount each person will be served.

Since Becky has 10 cups of chocolate mousse, we can convert that into the number of 1/3 cup servings by multiplying by 3, which gives us 30 servings.

Therefore, Becky can serve 30 people with the 10 cups of chocolate mousse she made.

It's important to note that an answer is a whole number, so the options of 1/30 people and 3 1/3 people are not reasonable answers. The correct answer is 30 people.

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Complete Question:

Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person 1/3 of a cup of chocolate mousse, how many people can she serve?

Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.

The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.

In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.

Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.

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Answer: it should be 17.5

15+20 = 35

35/2 = 17.5 -----> mean of the two numbers

Answer: 36

Step-by-step explanation:

4(9/3)(2) = 36

Answer:

x(z ÷ 3)² = 36

Step-by-step explanation:

Given expression,

→ x(z ÷ 3)²

Now we have to use,

→ x = 4

→ z = 9

Let's simplify the expression,

→ x(z ÷ 3)²

→ 4(9 ÷ 3)²

→ 4 × (3)²

→ 4 × 9

→ 36 => {answer}

Therefore, the answer is 36.

Answer:

m = -1, c = 5

Step-by-step explanation:

Provided in the attachment.

Answer:B

Step-by-step explanation:

If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.

To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.

The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.

Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:

One standard deviation = population standard deviation = $9

To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:

Lower bound = population mean - one standard deviation = $86 - $9 = $77

Upper bound = population mean + one standard deviation = $86 + $9 = $95

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Answer:

First, you distribute 2(2x-1/2)

2(2x) and 2(-1/2)

Now, you have 3x-2=4x-1

Then, you move 2 to the right side by adding so you can cancel it out.

Then, you move 4x to the left side by doing the same thing with 2

Now, divide both sides by -1

The answer is C, z= -1.

3x-2=2(2x-1/2)

3x-2=4x-1

3x=4x+1

-x=1

-x/-1 = 1/-1

= x=-1

The independent variable is whether or not a person is chatting on a cell phone in an experiment to ascertain whether or not this influences the number of driving errors they commit.

     A variable is any aspect that can be changed or changed over time.

      For example, in an experiment, a researcher can manipulate the independent variable (such as the amount of light that a plant receives) to see how it affects a dependent variable (like how much the plant grows).

     An independent variable is a variable that stands on its own and is not affected by the other variables being measured. In the given situation, the independent variable is whether or not the person is talking on a cell phone.

          The dependent variable is the variable that changes in response to the independent variable. In the given situation, the dependent variable is the number of driving errors they make.

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Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

Brad needs to score between 72 and 79 on the fourth test in order to get a C for the semester.

To explain why this is so, we need to first understand how the grade for the semester is calculated.Since the final course grade depends entirely on the average of four equally weighted 100-point tests, this means that each test will count for 25% of Brad’s final grade. Therefore, Brad needs to get an average score of 70-79 (inclusive) on the four tests combined in order to get a C for the semester.

In order to calculate what range of scores Brad needs to get on the fourth test in order to get a C for the semester, we need to look at the scores he has already obtained on the first three tests. Brad has scored 87, 89 and 78 on the first three tests. This gives him a total score of 254 (87+89+78=254). This means that Brad needs to get a score of between 70 and 79 on the fourth test in order to reach a total score of between 280-309 (inclusive), which will result in an average score of between 70-79 (inclusive), and give Brad a C for the semester.

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The expression g(f(x)) simplifies to -6x + 6, and we can see that the coefficient of x is -6 and the constant term is 6.

A function f(x) is a mathematical relationship that assigns a unique output value (or range value) for every input value (or domain value) from a specified set. In other words, a function takes one or more input values and produces a single output value based on a specific rule or set of rules.

To find g(f(x)), we need to substitute the expression for f(x) into g(x) wherever x appears, since g(x) is being evaluated at the value of f(x). That is, we need to substitute -2x+5 for x in the expression for g(x). This gives:

g(f(x)) = g(-2x+5)

         = 3(-2x+5) - 9

         = -6x + 15 - 9

         = -6x + 6

So, g(f(x)) = -6x + 6.

Therefore, the expression g(f(x)) simplifies to -6x + 6, and we can see that the coefficient of x is -6 and the constant term is 6. Thus, we can express the response as follows:

g(f(x)) = -6x + 6

         = [-6]x + [6]

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After removing the outliers, the mean age of the remaining students is 18.6 and the median age is 19.

When the outliers (27 and 47) are removed from the data, we are left with the following set of ages: 19, 19, 18, 18, 18, 19, 20, 18.

To find the mean age of the remaining students, we add up the ages and divide by the number of remaining students.

Mean age = (19 + 19 + 18 + 18 + 18 + 19 + 20 + 18) / 8 = 149 / 8 = 18.6 (rounded to the nearest tenth)

Therefore, the mean age of the remaining students is 18.6.

To find the median age of the remaining students, we need to arrange the ages in order from least to greatest: 18, 18, 18, 19, 19, 19, 20, 47.

The median is the middle value when the data is arranged in order. In this case, there are 8 data points, so the middle two values are 19 and 19. The median age of the remaining students is the average of these two values:

Median age = (19 + 19) / 2 = 19

Therefore, the median age of the remaining students is 19.

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Complete question is:

Professor Melendez has 10 students in her college algebra class. Their ages are shown below.

19, 27, 19, 18, 18, 18, 47, 19, 20, 18

The mean age of the students in the class is 22.3. The median age of the students is 19. There are two outliers in the data from Professor Melendez’s class: 27 and 47.

When the outliers are removed, what is the mean age of the remaining students? Round your answer to the nearest tenth

What is the median age of the remaining students?

We can rewrite the right side of the equation as a power of 2 since 8 = 2^3:

(1/32)^x = (2^3)^3-x

Simplifying the right side:

(1/32)^x = 2^(9-3x)

We can write both sides using a common base, say 2:

2^(-5x) = 2^(9-3x)

Now we equate the exponents and solve for x:

-5x = 9 - 3x

-2x = 9

x = -4.5

Therefore, the solution to the equation is x = -4.5.

Answer:  The total area for the door is 1.89 and the total area for the windows is 7.2

Step-by-step explanation:

door+ 0.9 x2.1= 1.89 and window= 1.5 x 1.2=1.8 x 4= 7.2

Professor Salton's measure for work is the number of hours worked for a non-academic job, as reported by respondents in his survey.

This measure is a simple but effective way to gain an understanding of how work can impact a student's academic studies. It provides a direct measure of the amount of time that students spend working outside their academic pursuits, and can be used to quantify the potential effects of working on their educational success.

By taking this measure, Professor Salton has provided an effective way of analyzing the relationship between work and study. It allows researchers to determine whether working has an impact on student performance and academic outcomes. It also allows researchers to investigate whether certain types of work, such as part-time or full-time employment, have more of an impact than others.

Ultimately, this measure is an invaluable tool for researchers to gain a better understanding of the effects of work on student success.

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Answer:

a) 6x10^-6 b) 0.000006 c) I would not be concerned

Step-by-step explanation:

a)

50% is just half and more just means added onto.

Half of 4x10^-6 is 2x10^-6

If you add that onto the original value, you will have:

6x10^-6 (standard form)

b)

0.000006 (ordinary number)

c)

I would not be concerned about the increase in probability of a side effect while using the new medicine. The probability to begin with is extremely low, almost insignificant. While the 50% increase may sound intimidating, it is just a 50% increase on a number that is already very very small. Honestly, it makes almost no difference.

If a triangular pyramid has a base shaped like an equilateral triangle. its surface area is: 120.41 square feet.

To solve this problem, we can use the formula for the surface area of a pyramid:

Surface area = base area + (1/2) x perimeter of base x slant height

First, we need to find the area of the base, which is an equilateral triangle. The formula for the area of an equilateral triangle is:

Area = (square root of 3) / 4 x (side length)^2

Substituting the given values, we get:

Area = (square root of 3) / 4 x 9^2

Area = (square root of 3) x 20.25

Area = 11.06 (rounded to two decimal places)

Next, we need to find the perimeter of the base, which is simply 3 times the side length:

Perimeter = 3 x 9

Perimeter = 27

Finally, we can use the given slant height to find the surface area:

Surface area = 11.06 + (1/2) x 27 x 8.1

Surface area = 11.06 + 109.35

Surface area = 120.41 square feet (rounded to two decimal places)

Therefore, the surface area of the triangular pyramid is approximately 120.41 square feet.

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Step-by-step explanation:

Apply the power rule and multiply the exponents

For each increase of one unit on the x-axis (the horizontal axis), the amount on the y-axis (the vertical axis) increases by the slope of the line.

Slope is the amount of change in the y-axis that occurs as a result of a one-unit change in the x-axis. It is also known as the rise over run.

A positive slope indicates that the line rises from left to right, while a negative slope indicates that the line falls from left to right. If the slope is zero, the line is horizontal.

The slope of a horizontal line is zero, and the slope of a vertical line is undefined because the x or y coordinate does not change as the other changes.

Therefore, the slope of a line represents the amount by which the value on the y-axis increases for every increase of one unit on the x-axis

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To determine the most likely distribution of the colors of candies in the bag before it was opened, we can analyze the data from the table and try to find a distribution that would result in the observed frequencies.

If we add up the number of candies of each color that were pulled out by the four students, we get:

Red: 75 + 80 + 85 + 90 = 330

Blue: 45 + 55 + 60 + 50 = 210

Green: 50 + 45 + 40 + 55 = 190

Yellow: 20 + 20 + 30 + 25 = 95

Orange: 10 + 5 + 25 + 30 = 70

We can see that the most frequently pulled color was red, followed by blue and then green. This suggests that the bag may have had more red candies than the other colors before it was opened.

Looking at the answer choices, the distribution in option B (300 red, 250 blue, 200 green, 100 yellow, and 150 orange) seems to match the observed frequencies the closest, as it has the highest number of red candies. Therefore, option B is the most likely distribution of the colors of candies in the bag before it was opened.

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Correct question:

A bag of candy contained a total of 1,000 candies before it was opened. Four students each pulled out 20 candies at random and recorded the color of the candies in this table.

According to this data, which was the most likely distribution of the colors of candies in the bag before it was opened?

A. 250 red, 250 blue, 250 green, 125 yellow, and 125 orange

B. 300 red, 250 blue, 200 green, 100 yellow, and 150 orange

C. 200 red, 200 blue, 200 green, 200 yellow, and 200 orange

D. 200 red, 200 blue, 200 green, 100 yellow, and 100 orange