Can someone help me on this question please

The cost of 2 kg of plantain would be $6.

If 1 kg of plantain costs $12, then we can calculate the cost of 2 kg of plantain by multiplying the cost of 1 kg by 2.

Therefore,

Cost of 2 kg of plantain = 2 x $12 = $24

But the question asks for the cost of 2 kg of plantain, so we need to divide the cost of 2 kg by 2 to get the cost of 1 kg.

Therefore,

Cost of 1 kg of plantain = $24 / 2 = $12

So, the cost of 2 kg of plantain would be $12 x 2 = $24, and the cost of 1 kg of plantain would be $12.

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For this problem, we are given the dimensions of a garden and the cost of planting seeds per square meter in this garden. We need to determine the total cost of planting the seeds.

The first step is to calculate the area of the garden, for which we need to multiply the length and width:

Now we need to multiply the area by the cost of the seeds per square meter. We have:

The total cost is 21.5x² + 40.85x -32.25

Answer:

C.) \(6*10^1 grams\)

Step-by-step explanation:

No, the data do not provide the convincing evidence that proportion of teenagers texted while driving exceeds 77% as p-value is greater than the significance level

Number of teenager drives in Atlanta = 31

Number of teenager texting while driving = 26

Percent of teenager texted while driving = 77%

Use a hypothesis test for a single proportion.

Null hypothesis (H0),

The proportion of teenagers who have texted while driving is equal to 77%.

Alternative hypothesis (HA),

The proportion of teenagers who have texted while driving exceeds 77%.

Use a significance level of 0.05, which is a commonly used threshold in hypothesis testing.

Test statistic for this hypothesis test is given by,

z = (p1 - p0) / √(p0× (1 - p0) / n)

where p1 is the sample proportion,

p0 is the hypothesized proportion under the null hypothesis,

and n is the sample size.

Substitute values we get,

p1 = 26/31

   = 0.8387

p0 = 0.77

n = 31

Plugging these values into the formula, we get,

z = (0.8387 - 0.77) / √(0.77(1 - 0.77) / 31)

 = 0.09090

Using a standard normal distribution table,

p-value associated with a z-value of 0.09090 is 0.4637.

Since the p-value is greater than the significance level of 0.05,

Fail to reject the null hypothesis.

Therefore, we do not have convincing evidence that the proportion of teenagers who have texted while driving exceeds 77%.

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If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.

In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.

The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.

The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.

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Answer:

\(12\pi n\)

Step-by-step explanation:

\(\pi(n+3)^2-\pi(n-3)^2\) {Area formula of \(Circle:A=\pi r^{2}\)}

\(=\pi(n+3)^{2}-\pi (n^{2}-6n+p)\)

\(=\pi (n^{2}+6n+p-n^{2}+6n-9)\)

\(=12\pi n\)

I hope this helps you

:)

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer:

\( \frac{13}{15} \)

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

\(P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} \)

hope this helps you.

Have a nice day!

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

From the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

As given in the question,

Inductive reasoning is the conclusion which is based on the process of observed pattern.

Given set of statements represents the inductive reasoning or not:

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

From observing pattern based on Friday dressing we conclude all Fridays are casual days.

Represent inductive reasoning.

b. Given : 3a² = 48

Conjecture : a = 6

Here we cannot observe the process , we have to show the calculation.

Not representing inductive reasoning.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

From observing pattern based on property of rectangle it is concluded that WX = YZ and WZ = XY.

Represent inductive reasoning.

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

From observing pattern based on all donuts property it is concluded that   chocolate donuts is also unhealthy.

Represent inductive reasoning.

Therefore, from the given set of statements, the conjecture which represent the inductive reasoning are given by :

a. Given : Everyone dressed casually on Friday

Conjecture : All Fridays are casual days.

c. Given : WXYZ is a rectangle.

Conjecture : WX = YZ and WZ = XY

d. All donuts are unhealthy.

Conjecture : This chocolate donut is unhealthy.

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Answer:

125

Step-by-step explanation:

Say prism A is a cube, and all the sides are x, then the volume of prism A is \(x^3\).

If you multiply each side by 5 (prism B), then each side is 5x, so the volume of prism B is \(125x^3\), which is 125 times more than \(x^3\).

Given the values of F (x) at specific points, we need to determine whether there is a local maximum, local minimum, or no extremum at each of these points. The points given are I=0, z=5, x=10, and z=20.

To determine the type of extremum at each point, we can analyze the behavior of the derivative, f'(x), around that point. At I=0: Since the value of f'(x) at x=0 is not given, we cannot make any conclusions about the presence of a local extremum at this point. At z=5: If the derivative f'(x) changes sign from positive to negative as x approaches 5 from the left, then there is a local maximum at x=5. If it changes sign from negative to positive as x approaches 5 from the left, then there is a local minimum at x=5. Without further information about the behavior of f'(x) near x=5, we cannot determine the presence of a local extremum.

At x=10: If the derivative f'(x) changes sign from positive to negative as x approaches 10 from the left, then there is a local maximum at x=10. If it changes sign from negative to positive as x approaches 10 from the left, then there is a local minimum at x=10. Similarly, without knowing the behavior of f'(x) near x=10, we cannot determine the presence of a local extremum.

At z=20: Similar to the previous points, we need information about the behavior of f'(x) near x=20 to determine the presence of a local extremum.  In summary, without additional information about the behavior of f'(x) near the given points, we cannot determine whether there are local maximums, local minimums, or no extremums at I=0, z=5, x=10, and z=20.

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The measure of angle ABC, the perimeter of the square, and the area of the square remain the same, as these properties are invariant under reflection across the y-axis.

In mathematics, a coordinate is a numerical value that specifies the position of a point in space. The concept of coordinates is used to locate objects in various mathematical settings, including geometry, algebra, and calculus. In a two-dimensional Cartesian coordinate system, each point is identified by two numbers, called the x-coordinate and y-coordinate. These values represent the horizontal and vertical distances, respectively, between the point and a reference point called the origin. Coordinates are used extensively in mathematics and other fields such as physics, engineering, geography, and computer science. They provide a powerful tool for describing the location, position, and movement of objects in space.

Here,

When Kevin reflects square ABCD on a coordinate plane over the y-axis to create image A'B'C'D', the position of the figure ABCD changes.

Specifically, the square ABCD is reflected across the y-axis, which means that each point on the left side of the y-axis is transformed to a corresponding point on the right side of the y-axis. As a result, the positions of all the points in the square are reversed, and the orientation of the square is flipped horizontally.

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Answer:

66% or 2/3

Step-by-step explanation:

add all the games up and you get 24 games played total then divide 16 by 24 and you get .66 or 2/3 because 16 is 2/3 of 24 and they are both a multiple of 8

Answer:

108 candles would be sold in 9 hours

Step-by-step explanation:

First add 48 + 48 = 96

then 48 divided by 4 = 12

12 + 96 = 108

Given:-

To find:-

Answer:-

As we know that the perimeter of a rectangle can be calculated using the formula,

\(\sf \implies Perimeter = 2(length + breadth) \)

And here ,

Now substitute the respective values in the formula stated above as ,

\(\sf \implies 104 in. = 2 [4x + 12 + 2x - 2]in. \\ \)

\(\sf \implies 104 = 2 [ 6x + 10 ]\\ \)

\(\sf \implies 104 = 12x + 20 \)

\(\sf \implies 12x = 84\)

\(\sf \implies \underline{\underline{ x = 7 }}\)

Let's find out the length and breadth to find out the area as ,

Hence,

\(\sf \implies Area = lb \\ \)

\(\sf \implies Area = 40 \times 12 \ in.^2 \)

\(\sf \implies \underline{\underline{ Area = 480\ in.^2}}\)

And we are done!

Answer:

she needs to save 150 a month

Step-by-step explanation:

1500 - 300 = 1200

1200 / 8 = 150

Answer: 150 dollars a month

Step-by-step explanation: 1500 - 300 = 1200

1200/8 = 150

Answer:

The chance will be the same (4/7)

Step-by-step explanation:

Old bag

p(blue)=4/7

New bag

p(blue)=8/14=4/7

The chance will be the same (4/7) since both the red and the blue marbles are doubled at the same time implying that the ration of red to blue still remails the same.

I hope the explanation is clear. If so rate brainliest please

The weight of each box of cereal must be between 21 and 23 ounces for the case to pass the quality assurance test. We can write this as the compound inequality: 21 < b < 23.

A quality assurance test is a process that is used to evaluate the quality of a product or service. It involves checking whether the product or service meets certain standards or specifications, and identifying any defects or issues that need to be addressed.

Let's start by finding the weight of a single box of cereal. We know that the weight of the entire case is the weight of 11 boxes plus the weight of the cardboard box, or:

Weight of case = 11b + 33

where b is the weight of a single box of cereal.

To pass the quality assurance test, the weight of the case must be greater than 264 ounces and less than 286 ounces. Therefore, we can write a compound inequality for b as follows:

264 < 11b + 33 < 286

Next, we can simplify this compound inequality by subtracting 33 from each term:

231 < 11b < 253

Finally, we can divide each term by 11 to solve for b:

21 < b < 23

Therefore, the weight of each box of cereal must be between 21 and 23 ounces for the case to pass the quality assurance test. We can write this as the compound inequality:

21 < b < 23 (in ounces)

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Answer:

22.5 feet

Step-by-step explanation:

volume of a retangular shape: l*w*h

4.5*2.5*2=22.5

a. The future value at the end of the first 6 years is $297,240.15

The payment made at the end of the first year is \($9500 x 4 = $38,000.\)

The interest rate for the first 6 years was 7.00% compounded monthly.

The monthly rate,\(r = (7/12) /100 = 0.00583 n = 6 x 12 = 72\)

Since the payment is made at the end of every 3 months, the periodic interest rate is\(r/3 = 0.00583/3 = 0.00194

PV = Payment x [((1+r)^n-1)/r]\)

\(PV = $38,000 x [((1+0.00194)^72-1)/0.00194]

PV = $297,240.15\)

b.  The future value at the end of the 12 year term is $474,943.77.

The periodic interest rate, r = 3/100 = 0.03

The total number of payments made during the second 6 years is also 2 x 6 = 12 payments.

\(PV = Payment x [((1+r)^n-1)/r]\)

\(PV = $9500 x [((1+0.03)^12-1)/0.03] = $142,765.52\)

The future value at the end of 12 years is the sum of the PV for the first 6 years and the PV for the next 6 years.

FV = PV for the first 6 years x (1+r)^6 + PV for the next 6 years

FV = $297,240.15 x (1+0.03)^6 + $142,765.52

FV= $474,943.77

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The dilation of quadrilateral ABCD to form quadrilateral A'B'C'D' can be found to be a A. reduction.

A reduction is a transformation that decreases the size of a shape or figure while maintaining its shape and proportions. It involves scaling down all the dimensions of the figure by the same factor.

This can be achieved by multiplying the coordinates of each point in the figure by a scaling factor less than 1. A reduction is often used when creating scaled-down models, maps, or drawings.

As shown on the diagram, the dimensions of quadrilateral ABCD are larger than those of A'B'C'D' which shows that it was reduced.

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Answer:

  31.6°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...

  Tan = Opposite/Adjacent

__

The tangent of angle B is ...

  tan(B) = AC/CB

  tan(B) = 28.2/45.8

The angle is found from the tangent using the inverse tangent function.

  B = arctan(28.2/45.8) ≈ 31.621°

The measure of angle B is about 31.6°.

The total amount money after thirteen years of savings will be $5030.63

To calculate the amount of money in the account today, we need to calculate the future value of each contribution separately and then add them together.

Let's start by calculating the future value of the initial deposit of $2400 over the first five years at an interest rate of 8% compounded annually.

Using the formula for compound interest:

Future Value = \(Principal\) * \((1 + Interest Rate)^{Time}\)

Future Value = $2400 * (1 + 0.08)⁽⁵⁾

Future Value = $2400 * (1.08)⁵

Future Value = $2400 * 1.46933

Future Value = $3526.40

So, after five years, the initial deposit will grow to $3526.40.

Now, let's calculate the future value of the additional deposit of $1000 over the last eight years at an interest rate of 5.5% compounded annually.

Future Value = $1000 * (1 + 0.055)⁸

Future Value = $1000 * (1.055)⁸

Future Value = $1000 * 1.50423

Future Value = $1504.23

So, after eight years, the additional deposit will grow to $1504.23.

Now, let's add the two amounts together to find the total amount in the account today:

Total Amount = $3526.40 + $1504.23

Total Amount = $5030.63

So, the total amount money after thirteen years of saving will be $5030.63

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Complete question:

Thirteen years ago, you deposited $2400 into a superannuation fund. Eight years ago, you added an additional $1000 to this account. You earned 8%, compounded annually, for the first five years, and 5.5%, compounded annually, for the last eight years. How much money do you have in your account today?

Since the coins are identical and lined up in a row, the distance between the centers of adjacent coins must be equal to the sum of their radii. Let r be the radius of one of these circular coins. Then, the distance between the centers of adjacent coins is 2r.

According to the problem, the distance between the centers of the first and third coins is 3.2 centimeters. This can be expressed as the sum of the distance between the first and second coins and the distance between the second and third coins:

3.2 = 2r + 2r

Simplifying:

3.2 = 4r

Dividing both sides by 4:

r = 0.8 centimeters

Therefore, the radius of one of these circular coins is 0.8 centimeters.
Let's call the radius of one of these circular coins "r". Since the coins are identical and lined up in a row, the distance between the centers of the first and third coins is equal to the sum of the diameters of the first two coins.

Step 1: Write the equation representing the relationship between the radius and the distance between the centers of the first and third coins:
2r (diameter of the first coin) + 2r (diameter of the second coin) = 3.2 cm

Step 2: Combine the terms on the left side of the equation:
4r = 3.2 cm

Step 3: Solve for the radius "r":
r = 3.2 cm / 4
r = 0.8 cm

The radius of one of these circular coins is 0.8 centimeters.

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The Temperature in Kelvin is 293.15 K.

To convert temperature from degrees Celsius (°C) to Kelvin (K), you can use the following formula:

Temperature in Kelvin = Temperature in Celsius + 273.15

Given that the room temperature is measured at 20.0 °C, we can calculate the temperature in Kelvin as follows:

Temperature in Kelvin = 20.0 °C + 273.15

Temperature in Kelvin = 293.15 K

Therefore, the temperature in Kelvin is 293.15 K.

The Kelvin scale is an absolute temperature scale where 0 K represents absolute zero, the point at which all molecular motion ceases. The Kelvin scale is widely used in scientific and engineering applications, especially in situations where precise temperature measurements and calculations are necessary.

It's important to note that the Kelvin scale does not use the degree symbol (°) when denoting temperature. Instead, temperatures are simply expressed in Kelvins (K) as a unit of measurement.

Converting temperatures between Celsius and Kelvin is a simple process and involves adding or subtracting the appropriate value (273.15) to or from the temperature in Celsius. This conversion is useful in many scientific calculations and ensures consistency and accuracy when working with temperature data.

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Answer:

293.15 K.

Step-by-step explanation:

Answer:

x = 142°

Step-by-step explanation:

The first thing you need to figure out is the missing interior angle of the triangle.

There is 180 degrees in a triangle, there is a 90° and 52° angle listed, so subtract that from 180° to get the missing angle.

180° - 90° - 52° = 38°

Now we want the exterior angle x. Angle x and the interior angle form a straight line when combined which will also be a 180° angle. You can picture this as a half circle (a full circle is 360°).

So subtract the interior angle 38° from 180°

180° - 38° = 142°