The probability of drawing a pearl bead out of a bag of mixed beads is 2/3. What is the probability of drawing a bead which is not a pearl?

The integral expression for the cross-sectional area of the solid can be written as ∫[0,2] (A(y)) dy, where A(y) represents the area of the cross section at each value of y and dy represents an infinitesimally small change in y.

To determine the area of each cross section, we need to find the width of the rectangle at each y-value. The width can be calculated as the difference between the x-values of the curves f and g at that specific y-value. Therefore, the width of the rectangle is g(y) - f(y).
Since the height of each rectangle is given as 3y, the area of each cross section is (g(y) - f(y)) * 3y. Integrating this expression over the range of y from 0 to 2 will give us the total volume of the solid.
Thus, the integral expression for the cross-sectional area of the solid is ∫[0,2] [(g(y) - f(y)) * 3y] dy.

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Answer:

30%

Step-by-step explanation:

Profit(Gain)% = \(\frac{Selling price - Cost price}{Cost price} * 100%\)

Selling price = N6.50

Cost price = N5

∴ Profit% = \(\frac{N6.50 - N5 }{N5} * \frac{100}{1}\)

                 = \(\frac{1.5}{5} * \frac{100}{1}\)

                 = (1.5 * 20)%

                 = 30%

Hope this helps!!!

The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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Answer: 12x

Step-by-step explanation:

12 times x = 12x

Hope it helped u,

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Answer:

B

Step-by-step explanation:

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

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The point where you started from on a number line is: 3.5

A number line is a line on which numbers are marked at intervals, and then used to illustrate simple numerical operations.

A number line is also referred to as a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

If the point where you started is denoted as x, then it means that:

x - 6 + 3 = 0.5

x = 0.5 + 3

x = 3.5

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Answer:

w greater than 2

Step-by-step explanation:

Answer:

The slope of the line is  \(-\frac{1}{7}\)

Step-by-step explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

∵ The line passes through points (19, 8) and (-2, 11)

∴ x1 = 19 and x2 = -2

∴ y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵ \(m=\frac{11-8}{-2-19}=\frac{3}{-21}\)

→ Simplify the fraction by divide up and down by 3

∴ \(m=-\frac{1}{7}\)

∴ The slope of the line is  \(-\frac{1}{7}\)

Answer:

-14541

Step-by-step explanation:

100 - 121² = 0

100 - 14641

-14541

Answer:

-14541 = 0

Step-by-step explanation:

Simplify each term.

121 to the power of 2

100 − 1 X 14641 = 0

1 X 14641

100 − 14641 = 0

14641 - 100

Sorry if it's confusing... I'm not the best at explaining.

Answer: -30

Let's call the original number "x". Then, we can write the equation as follows:

-3/10 x + 1 = 10

To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:

-3/10 x = 9

x = (9 * 10)/(-3)

x = -30

So, the original number is -30.

Answer: -4

Step-by-step explanation:

Answer:

- 1/4

Step-by-step explanation:

The formula to find slope from two points is (x₂ - x₁) / (y₂ - y₁).

Substituting the points in (2, 4 = x₁, y₁ and 5, -8 = x₂, y₂) we get (5 - 2) / (-8 - 4).

= 3 / -12

= - 1/4

(Tip: when assigning the numbers to the variables, make sure x₁, y₁ are always from the same pair.)

The expression f (0) in a function is used to represents the y-intercept on the graph of the function f (x).

The point where the graph cuts the y - axis is known as the y - intercept whereas the point where it cuts the x - axis is known as x - axis. The graph cuts y- axis when the value of x coordinate is 0.

The values which satisfies the equation is known as the zeros of the function. The graph of a function is the set of all points in the plane of the form (x f(x)).

The graph of f could similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

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By solving a linear equation, it can be calculated that

Floyd sold 37 albums last month

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the number of albums Floyd sold last month be x

He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells.

Amount of money he earned last month = 200 + 12x

By the problem,

200 + 12x = 644

12x = 644 - 200

12x = 444

\(x = \frac{444}{12}\)

x = 37

Floyd sold 37 albums last month

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Complete Question

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644.

Write an equation to determine the number of albums (a) Floyd sold last month.

Find the number of albums Floyd sold last month.

2. For new recipes on making 36 pieces of chocolate cake:

To multiply a fraction by 3, we simply multiply the numerator (top number) by 3 while leaving the denominator (bottom number) unchanged. So:

Original: 2 cups of flour

New: 2/1 x 3/1 = 6/1 = 6 cups of flour

Original: 1/2 cup chocolate chips

New: 1/2 x 3/1 = 3/2 cups of chocolate chips

Original: 4 teaspoons cinnamon

New: 4/1 x 3/1 = 12/1 = 12 teaspoons of cinnamon

Original: 1 teaspoon baking powder

New: 1/1 x 3/1 = 3/1 = 3 teaspoons of baking powder

Original: 1 tablespoon vanilla

New: 1/1 x 3/1 = 3/1 = 3 tablespoons of vanilla

To make it easier to visualize the scaling up of the recipe, use a diagram like a bar model. For example, if we use a bar to represent the original amount of flour (2 cups), we can divide it into 12 equal parts to represent the 12 pieces of cake in the original recipe. Then, we can use the same bar to represent the new amount of flour (6 cups), and divide it into 36 equal parts to represent the 36 pieces of cake in the new recipe.

Here's a diagram showing the scaling up of the flour:

Original recipe:

2 cups of flour

| | | | | | | | | | | | |

1 2 3 4 5 6 7 8 9 10 11 12

New recipe:

6 cups of flour

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

Use a similar bar model to represent the other ingredients and scale them up accordingly.

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Image transcribed:

2. Here are some of the ingredients of the chocolate cake. Increase the recipe so that 36 pieces can be made. Show your work with numbers and diagrams..

Original: 2 cups of flour New:

6X3 19

3x2

Original:

New. cup chocolate chips

Original: 4 teaspoon cinnamon

New:

6x+ 4

Original: teaspoon baking powder 5

New:

Original: tablespoon vanilla

New:

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer:

not enough information

Step-by-stepexplanation:

Newton's method formula is: xn+1 = xn - f(xn)/f'(xn).

Newton's method is an iterative numerical method used to find the root of a function. The formula for Newton's method is xn+1 = xn - f(xn)/f'(xn), where xn represents the current approximation, f(xn) is the function evaluated at xn, and f'(xn) is the derivative of the function evaluated at xn.

For the given function f(x) = x² - 4x - 45 and the initial approximation x0 = 7, we can apply Newton's method as follows:

Compute f(x0) = f(7) = 7² - 4(7) - 45 = -11.

Compute f'(x0) = 2x0 - 4 = 2(7) - 4 = 10.

Substitute the values into the Newton's method formula: x1 = x0 - f(x0)/f'(x0) = 7 - (-11)/10 = 8.1.

Repeat steps 1 to 3 with x1 as the new approximation to get x2, x3, and so on until the desired accuracy is achieved.

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The larger the group of answer choices, the less likely our data represent the model due to larger differences between the expected frequencies.

Based on the terms provided, we want to know the relationship between the size of a group of answer choices, differences between expected frequencies, and how likely the data represents a model.

The larger the group of answer choices, the larger the differences between the expected frequencies, and the less likely our data represent the model.

This is because a larger group of answer choices increases the complexity of the dataset, which may lead to more significant deviations from the expected frequencies, ultimately making it less likely that the data represents the given model.

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Answer:

f(-4) = -(-4) - 5

f(-4) = -1

Step-by-step explanation:

Answer:

f(- 4) = 19

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = (- 4)² + 3 = 16 + 3 = 19

Using concepts of Mean, we got Paired samples test for the difference between two means is the type of test researcher is using.

The test procedure, called the two-sample t-test, is correct when the following conditions are met:

If the sample findings are not in favour, given the null hypothesis, the researcher rejects the null hypothesis. Typically, this will involves comparing the P-value to the significance level, and rejecting null hypothesis when the P-value is smaller than the significance level.

Hence, the test type which researcher is using Paired samples test for the difference between two means.

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We have to find the probability of selecting a white ball on the second draw given that the first ball drawn was green.

We know that probability of selecting a green ball and then a white ball without replacement is 0.15, so we can write:

We also know that the probability of selecting a green ball in the first draw is 0.65:

Then, we can use this to find the conditional probability of selecting a white ball on the second draw given that the first ball drawn was green can be calculated as:

Answer: the probability is 0.231.

Answer:

28+14.50+524.50+13.25=  580.25

Step-by-step explanation:

Add it all together.

The expression that represents the total cost for both the membership after m months is

552.50 + 27.75m

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Internet service:

Charges = $28

Monthly pay = $14.50

Total cost after m months.

= 28 + 14.50m

Movie streaming:

Joining = $524.50

Monthly charge = $13.25

Total cost after m months.

= 524.50+ 13.25m

The total cost for both memberships after m months.

= 28 + 14.50m + 524.50 + 13.25m

=  552.50 + 27.75m

Thus,

The total cost is 552.50 + 27.75m.

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Answer:

0.625

Step-by-step explanation:

5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.

5/8 written as a decimal is 0.625

The answer is 0.625

The samples of size n = 2 that can be drawn from this population is 28

From the question, we have the following parameters that can be used in our computation:

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?