three percent of the customers of a mortgage company default on their payments. a sample of five customers is selected. what is the probability that exactly two customers in the sample will default on their payments? group of answer choices 0.0003 0.0082 0.0077 0.0008

Step-by-step explanation:

Volume of rect prism = L X W X H = 4 X 9 X 10 = 360 cm^3

Answer: y=1/2x-3

Step-by-step explanation:

I'm assuming you're trying to find it in slope intercept form!

y=mx+b

y=1/2x-3

easy

The probability that a student who did not complete the homework passed the test is 0.25.

Answer:

9) Keep the denominators the same, and subtract the numerators. Then simplify if necessary.

[tex] \frac{3x + 2}{x + 5} - \frac{2x - 3}{x + 5} [/tex]

[tex] = \frac{3x + 2 - (2x - 3)}{x + 5} [/tex]

[tex] = \frac{3x + 2 - 2x + 3}{x + 5} [/tex]

[tex] \frac{x + 5}{x + 5} = 1[/tex]

10) Find the LCD. Rewrite each rational expression as an equivalent expression with the LCD as the denominator. Add the numerators and write the sum over the LCD. Then simplify if necessary.

[tex] \frac{4x}{x - 2} + \frac{x - 4}{x - 5} [/tex]

[tex] = \frac{4x(x - 5) + (x - 4)(x - 2)}{(x - 2)(x - 5)} [/tex]

[tex] = \frac{4 {x}^{2} - 20x + {x}^{2} - 6x + 8 }{(x - 2)(x - 5)} [/tex]

[tex] = \frac{5 {x}^{2} - 26x + 8}{(x - 2)(x - 5)} [/tex]

[tex] = \frac{5 {x}^{2} - 26x + 8 }{ {x}^{2} - 7x + 10} [/tex]

The interval best describes the range of the transformed function as [0,70].

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have

Given: When f(x) = 0, the swing is at starting position. When f(x) > 0, the swing is in front of the starting position, and when f(x) < 0, the swing is behind the starting position. The function describing this graph is a transformation of the parent sine function, y = sin x.

To begin with, the amplitude of the sine curve, according to the graph, is 70 at the maximum.

y = 70 sin(something)

Next, a full sine wave occurs after 15 seconds approximately. That means after 15 seconds, you should get 2π. Call the values along the x-axis = t

y = 70*sin(t/15 ×2π)

It is just under 4 seconds. It's an estimation.

y = 70×sin(3.9/15 ×2π) Multiply 2 × 3.9

y = 70× sin(7.8/15π) Multiply 7.8π : Use 3.14 for π

y = 70 × sin(24.49/ 15)

y = 70× sin(1.633) Make sure you are in radians for the next step.

y = 70×0.99806 = 69.86 inches. which is pretty close to 70.

Hence, the interval best describes the range of the transformed function as [0,70].

To learn more about the function from the given link

https://brainly.com/question/10439235

#SPJ1

a) The probability that a simple random sample of 50 ten-gram portions results in a mean of at least 3.6 insect fragments is approximately 0.027.

b) This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation.

c) More information about the distribution of insect fragments in the population and the context in which the samples were collected would be needed to draw more definitive conclusions.

To answer this question, we would need to know the distribution of insect fragments in the population from which the samples are drawn. Let's assume that this distribution is approximately normal with a mean of 3.2 insect fragments and a standard deviation of 0.8 insect fragments, as suggested by FDA guidelines for chocolate.

The distribution of the sample means for samples of size n can be approximated by a normal distribution with mean µ and standard deviation σ/√n. In this case, µ = 3.2 and σ/√n = 0.8/√50 = 0.113.

To find the probability that a sample of 50 ten-gram portions has a mean of at least 3.6 insect fragments, we need to find the area under the normal curve to the right of 3.6. Using a standard normal distribution table or a calculator, we find that this probability is approximately 0.027.

This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation. If the sample mean was much higher, say 4.0 or 4.5, it would be more concerning and warrant further investigation.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The distance between Lahore and Karachi is 1260 km.

To solve this problem, we can use the formula:

Distance = Speed x Time

where Distance is the distance traveled, Speed is the speed of the object, and Time is the time taken to travel that distance.

In our problem, we know the Speed of the train is 70 km/hour, but we need to find the Time it takes to travel from Lahore to Karachi. We can find this by subtracting the departure time from the arrival time:

Time = 10:00 am - 4:00 pm = 18 hours

Now that we have the Speed and Time, we can plug them into the formula to find the Distance:

Distance = Speed x Time

Distance = 70 km/hour x 18 hours

Distance = 1260 km

To know more about distance here

https://brainly.com/question/4199102

#SPJ4

Answer:

f(x + 1) + 2

Step-by-step explanation:

All the points are translated 1 unit to the left and 2 units up.
To write a translation along the x-axis, movement to the right would be written as f(x - a), where a is the amount translated, and movement to the left would be written as f(x + a). In this case, we would need to write the translation as f(x + 1), since it is moving 1 unit to the left.
As for translations along the y-axis, movement upward would be written as f(x) + a, and movement downward would be written as f(x) - a. Thus, the transformation rule to describe the path the pre-image made to arrive at the image would be f(x + 1) + 2.

P.S. I'm a bit rusty with this stuff, so I apologize in advance if I messed something up.

The score to be made on the 4th quiz in order to have a mean quiz score of exactly 90 is equal to 88.

Let us consider the score that Tim needs to get on his fourth quiz be x.

Score he needs to get in order to have a mean quiz score of 90,

Set up an equation using the formula for the mean ,

(mean score) = (sum of scores) / (number of scores)

If Tim wants his mean quiz score to be 90, then we have,

⇒ 90 = (86 + 92 + 94 + x) / 4

Multiplying both sides by 4, we get,

⇒360 = 86 + 92 + 94 + x

Simplifying this equation, we get,

⇒ x = 360 - 272

⇒ x = 88

Therefore, Tim needs to get a score of 88 on his fourth quiz in order to have a mean quiz score of exactly 90.

Learn more about score here

brainly.com/question/31177688

#SPJ4

The ratio of red balls to blue balls is 5 : 4.

A ratio is a comparison of two or more values that can be fractionalized or separated by commas (:). Contrarily, a proportion is an equation that says two ratios are equal to one another. A proportion, then, is a claim that two ratios have the same connection to one another. A proportion may be written as 3/2 = 6/4, which states that the ratio of the length to the width is the same as the ratio of the perimeter to the diagonal. As an illustration, the ratio of the length to the width of a rectangle could be written as 3:2.

The ratio of red balls to blue balls can be written as:

red balls : blue balls

Substituting the given values we have:

10 : 8 = 5 : 4

Hence, the ratio of red balls to blue balls is 5 : 4.

Learn more about ratio and proportion here:

https://brainly.com/question/29774220

#SPJ1

Answer:

In its simplest form, the ratios of the length of sides in a 45 45 90 special right angle triangles should be 1 : 1 : 2 1:1:\sqrt{2} 1:1:2on:

And because this is a 30-60-90 triangle, and we were told that the shortest side is 8, the hypotenuse must be 16 and the missing side must be 8 * 3 , or 8 3 . Our final answer is 8√3

Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.

1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).

Step 1: Set up the equation using the given information.

One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:

Reciprocal of the original number + 1 = $\frac{7}{3}$

Step 2: Solve for the reciprocal of the original number.

Reciprocal of the original number = $\frac{7}{3}$ - 1

Step 3: Simplify the equation.

Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$

Reciprocal of the original number = $\frac{4}{3}$

Step 4: Find the original number.

Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:

Original number = $\frac{1}{(\frac{4}{3})}$

Step 5: Simplify the expression.

Original number = $\frac{1}{1} \times \frac{3}{4}$

Original number = $\frac{3}{4}$

The original number expressed as a common fraction is $\frac{3}{4}$.

Learn more about Fractions here: brainly.com/question/10354322

#SPJ11

The probability regarding fewer than 30 people out of 250 people will consider working from home is 3.36%.

In order to calculate the probability for the given condition we need to perform binomial distribution

P(X < 30) = Σ P(X = x)

For x = 0 to 29

Here,

X = number of people from the sample who work from home

P = probability of an adult working from home

Given,

X = 250

P = 0.15

Now performing approximation to binomial distribution, leads to approximate X like a normal random variable with mean

Therefore,

μ = np

μ = 250 x 0.15

μ =  37.5

Now we have to evaluate the standard deviation

σ = √(np(1-p))

σ = √ 250 x 0.15 x (1 - 0.15)

σ ≈  4.08

Then we can proceed to standardized X

Z = (X - μ) / σ

P(X < 30) = P(Z < (30 - μ) / σ) = P(Z < (30 - 37.5) / 4.08)

≈ P(Z < -1.84)

Using standard distribution table

P(Z < -1.84) ≈ 0.0336

Converting it into percentage

0.0336 x 100

= 3.36%

The probability regarding fewer than 30 people out of 250 people will consider working from home is 3.36%.

To learn more about probability,

https://brainly.com/question/13604758

#SPJ4

If you choose not to make a payment during the 24-month period, your balance at the end of the promotion will be $3,637.16.

Explain month

A month is a unit of time equal to one-twelfth of a year, or approximately 30.44 days. It is often used to represent periodic phenomena, such as interest rates or seasonal trends, and to calculate the duration between two dates. The number of months between two dates is calculated by dividing the difference in days by 30.44.

According to the given information

If you do not make any payments during the 24-month period, your balance will increase each month due to the interest that accrues. After 24 months, your balance will be:

$2299.99 * (1 + 0.020825)²⁴ = $3,637.16

To know more about interest visit

brainly.com/question/27584159

#SPJ1

In the given problem, using  the concept of graph theory  the number of paths that satisfy the given conditions is 3.

To solve this problem, we can use the concept of graph theory, where each room is a vertex, and each doorway is an edge connecting two vertices. Since we cannot pass through the same doorway more than once or revisit a room, this problem can be solved by finding all possible paths in the graph that do not contain cycles.

To find the number of such paths from room A to room F, we can use the depth-first search (DFS) algorithm. We start from room A and explore all possible paths until we reach room F, making sure not to visit the same room or pass through the same doorway more than once.

Using DFS, we can generate all possible paths from room A to room F, and count the number of paths that do not contain cycles. The total number of such paths is the answer to the problem.

Here's the list of all possible paths from room A to room F:

Out of these paths, the following paths contain cycles or revisit a room:

Therefore, the number of paths that satisfy the given conditions is 3.

Note: We can also solve this problem using other algorithms such as Breadth-first search (BFS) or dynamic programming, but DFS is a simple and efficient approach for small graphs like this one.

learn more about graph theory here: https://brainly.com/question/29538026

#SPJ1

It will take approximately 368.6 years for the amount of radium to decay to 5 grams.

We are given the model for the amount of radium present after t years:

R = 100e^(-0.00043t)

We are also told to find the time when only 5 grams of radium will be present, here we have to use exponential decay.  In other words, we need to find the value of t when R = 5.

Substituting R = 5 into the model, we get

5 = 100e^(-0.00043t)

Dividing both sides by 100, we get

0.05 = e^(-0.00043t)

Taking the natural logarithm of both sides, we get

ln(0.05) = -0.00043t

Solving for t, we get

t = -ln(0.05)/0.00043

Using a calculator, we get

t ≈ 368.6 years

Learn more about exponential decay here

brainly.com/question/11154952

#SPJ4

Duri can make 72 cupcakes on his own and Habib can make 36 cupcakes on her own, assuming they have enough of all the other ingredients.

To determine how many cupcakes each person can make on their own, we need to check if they have enough of all the other ingredients required to make 12 cupcakes.

Terrance has 1 cup of flour and 6 eggs, which is not enough to make 12 cupcakes.

Duri has 12 cups of flour and 1000 grams of butter, which is more than enough to make 12 cupcakes. However, the recipe requires 3/4 cup of sugar, 2 eggs, and 3/4 cup of milk, which we do not know if Duri has enough of.

Habib has 3 cups of milk and 6 cups of sugar, which is enough to make 12 cupcakes.

Anika has 1 cup of sugar and 4 cups of milk, which is not enough to make 12 cupcakes.

Therefore, only Duri and Habib have enough ingredients to make 12 cupcakes on their own.

To determine how many cupcakes they can make, we need to calculate how much of each ingredient is required for one cupcake and then divide the available ingredients by that amount.

For one cupcake, we need:

1/6 cups of flour

1/16 cup of sugar

1/6 eggs

1/16 cups of milk

125/12 grams of butter

Duri has 12 cups of flour and 1000 grams of butter, which is enough to make 72 cupcakes. Habib has 6 cups of sugar and 3 cups of milk, which is enough to make 36 cupcakes.

To learn more about quantity click on,

https://brainly.com/question/28909355

#SPJ4

The correct answer is option B. Translate 1 to the left, scale vertically by 1/2, then reflect over the y-axis.

The process of modifying the shape, location, or features of a graph is often referred to as graph transformation. Graphs are visual representations of mathematical functions or data point connections, often represented on a coordinate plane.

Translations, reflections, rotations, dilations, and other changes to the look of a graph are examples of graph transformations.

For the given problem, Transformation to get the desired result can be carried out as:

Hence, to convert the graph of "y = k(x)" to the graph of "y = -k(x + 1)," the correct sequence of transformations is to translate 1 unit to the left, scale vertically by 1/2, and then reflect across the y-axis, which is option B.

Learn more about Graph Transformation here:

https://brainly.com/question/10059147

#SPJ1

When these conditions are met, you can use the dependent samples t-test to compare the mean of the difference between the two populations.

Paired samples

Random sampling.

Normal distribution

Independence of pairs.

To use the dependent samples t-test for the mean of the difference of two populations, the following conditions are necessary:
Paired samples:

The data must consist of pairs of observations (e.g., pre- and post-test scores) that are related or dependent on each other.
Random sampling:

The paired samples must be randomly selected from the populations.
Normal distribution:

The distribution of the differences between the paired samples should be approximately normally distributed.

This condition can be evaluated using a normality test, such as the Shapiro-Wilk test, or by visually inspecting a histogram or Q-Q plot of the differences.
Interval or ratio data:

The data should be measured on an interval or ratio scale (e.g., weight, height, test scores), rather than on an ordinal or nominal scale.
Independence of pairs:

The differences within each pair of observations should be independent of the differences in other pairs.

For similar question on conditions.

https://brainly.com/question/16013260

#SPJ11

If these conditions are met, then the dependent samples t-test can be used to test the null hypothesis that the mean difference between the two populations is zero.

The dependent samples t-test is used to compare the means of two related or dependent populations, where the samples are paired or matched. In order to use the dependent samples t-test for the mean of the difference of two populations, the following conditions should be met:

Learn more about hypothesis here:

https://brainly.com/question/24723128

#SPJ11

Answer:

9.955

Step-by-step explanation:

If you are trying to determine if an input variable may affect your key characteristic (output variable) by examining the

correlation between variables, you should use the tool: D. Scatter plot diagram. therefore, option D.Scatter plot

diagram is correct.

A scatter plot diagram is a graphical representation of the relationship between two variables. It can help you visualize

the correlation between the input and output variables, making it easier to determine if there is a potential cause-and-

effect relationship.

The tool that you should use to examine the correlation between variables is D. Scatter plot diagram.

A scatter plot diagram is a graphical representation that displays the relationship between two variables.

The x-axis represents the input variable, while the y-axis represents the output variable.

By plotting the data points on the scatter plot diagram, you can visually analyze the correlation between the variables.

If there is a strong positive or negative correlation between the variables, it suggests that the input variable may affect

the key characteristic (output variable).

for such more question on Scatter plot diagram

https://brainly.com/question/31209398

#SPJ11

D. Scatter plot diagram is the tool that should be used to examine the correlation between variables to determine if an input variable may affect your key characteristic (output variable).

The scatter plot diagram is a graphical representation that displays the relationship between two variables, and it is commonly used to identify patterns, trends, and correlations between variables. By examining the scatter plot diagram, you can determine whether there is a positive, negative, or no correlation between the variables, which can help you to identify potential cause-and-effect relationships.
 To determine if an input variable may affect your key characteristic (output variable) by examining the correlation between variables, you should use:

A scatter plot diagram is a graphical tool that helps visualize the relationship between two variables, allowing you to identify any correlation between the input and output variables.

to learn more about scatter plot diagram click here:

https://brainly.com/question/31170044

#SPJ11

If Cara's calculation of the sum of the squared differences i.e. 1370 from the mean is incorrect, that would be the first error she made in computing the variance.

As the steps for finding the variance are not provided, it is difficult to determine the first error Cara made.

However, the formula for calculating the variance is:

Variance = (sum of the squared differences from the mean) / (number of observations)

The first error Cara may have made is in calculating the sum of the squared differences from the mean.

The correct steps to find the variance are:

Find the mean:

Mean = (87 + 46 + 90 + 78 + 89) / 5 = 78

Calculate the differences from the mean for each observation:

87 - 78 = 9

46 - 78 = -32

90 - 78 = 12

78 - 78 = 0

89 - 78 = 11

Square each difference:

[tex]9^2 = 81[/tex]

[tex](-32)^2 = 1024[/tex]

[tex]12^2 = 144[/tex]

[tex]0^2 = 0[/tex]

[tex]11^2 = 121[/tex]

Find the sum of the squared differences:

81 + 1024 + 144 + 0 + 121 = 1370

Divide the sum of squared differences by the number of observations:

Variance = 1370 / 5 = 274.

For similar question on variance.

https://brainly.com/question/15858152

#SPJ11

The point of tangency is (-3, -2).

To find the point of  tangency , we really want to find the convergence point between the line and the circle. We can begin by tracking down the situation of the circle with focus (- 1,2).

A circle's equation for its center (a,b) and radius (r) is as follows:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Plugging in the values for the center and solving for r, we get:

[tex](x + 1)^2 + (y - 2)^2 = r^2[/tex]

Now we need to find the intersection point between this circle and the line 2x+3y=-22. We can do this by substituting y = (-2/3)x - (22/3) into the equation of the circle:

[tex](x + 1)^2 + ((-2/3)x - (16/3))^2 = r^2[/tex]

Expanding and simplifying, we get:

[tex]10x^2 + 24x + 44 = 9r^2[/tex]

Next, we can make use of the fact that the line intersects the circle at a tangent. This indicates that the distance between the intersection point and the center of the circle is the same as its radius. The distance between the center of the circle and the line can be determined using the distance formula:

distance = [tex]|2x + 3y - (-22)\sqrt{2^2 + 3^2}| = |2x + 3y + 22| \sqrt(13)[/tex]

Setting this equal to the radius r, we get:

[tex]|2x + 3y + 22| \sqrt{13} = \sqrt{10x^2 + 24x + 44} / 3[/tex]

Squaring both sides and simplifying, we get:

[tex]36(2x + 3y + 22)^2 = 13(10x^2 + 24x + 44)[/tex]

Expanding and simplifying, we get:

[tex]26x^2 + 36xy + 45y^2 + 52x + 132y + 240 = 0[/tex]

Now we can use the quadratic formula to solve for x:

x = (-18y - 13 ± [tex]\sqrt{169 - 720y^2[/tex])) / 13

Substituting this into the equation for the line, we get:

2(-18y - 13 ± [tex]\sqrt{169 - 720y^2))[/tex] / 13 + 3y = -22

Simplifying, we get:

y = -2

Substituting y = -2 into the equation for x, we get:

x = -3

Therefore, the point of tangency is (-3, -2).

know more about tangent visit :

https://brainly.com/question/14022348

#SPJ1

Thus, the area of unshaded portion for the given values of triangle is found as 48.6 sq. m.

Three sides, three angles, plus three vertices make up a triangle.

Area of triangle  = 1/2*base *height

Area of unshaded portion = complete area - area of shaded triangle

Area of unshaded portion = 1/2*(20)*(8.1) - 1/2*8*(8.1)

Area of unshaded portion = 81 - 32.4

Area of unshaded portion = 48.6

Thus, the area of unshaded portion for the given values of triangle is found as 48.6 sq. m.

Know more about the triangle

https://brainly.com/question/17335144

#SPJ1

(a) True. We can use partial fraction decomposition to write X(x² + 4)/(x² - 4) as (A/(x+2)) + (B/(x-2)).

(b) True. We can use partial fraction decomposition to write X² + 4/(x(x² - 4)) as (A/x) + (B/(x+2)) + (C/(x-2)).

(c) True. We can use partial fraction decomposition to write X² + 4/(x²(x - 4)) as (A/x²) + (B/x) + (C/(x-4)).

(d) False. We can use partial fraction decomposition to write X² - 4/(x(x² + 4)) as (A/x) + (Bx+C)/(x²+4).

(a) We want to write X(x² + 4)/(x² - 4) in the form (A/(x+2)) + (B/(x-2)). First, we find A and B by multiplying both sides by the common denominator (x+2)(x-2):

X(x² + 4) = A(x-2) + B(x+2)

Expanding both sides gives:

Xx² + 4X = Ax - 2A + Bx + 2B

Grouping terms by x gives:

Xx² + (A+B)x + (-2A+2B) = 4X

Now we have a system of two equations:

A + B = 0 (coefficients of x)

-2A + 2B = 4X (constant terms)

Solving for A and B gives:

A = -B

-2A + 2B = 4X

-2A + 2(-A) = 4X

-4A = 4X

A = -X

Therefore, B = X. Thus,

X(x² + 4)/(x² - 4) = (-X/(x+2)) + (X/(x-2))

(b) We want to write X² + 4/(x(x² - 4)) in the form (A/x) + (B/(x+2)) + (C/(x-2)). First, we find A, B, and C by multiplying both sides by the common denominator x(x+2)(x-2):

X² + 4 = A(x+2)(x-2) + Bx(x-2) + Cx(x+2)

Expanding both sides gives:

X² + 4 = Ax² - 4A + Bx² - 2Bx + Cx^2 + 2Cx

Grouping terms by powers of x gives:

(X² + 4) = (A+B+C)x² + (-2B+2C)x - 4A

Now we have a system of three equations:

A + B + C = 0 (coefficients of x²)

-2B + 2C = 0 (coefficients of x)

-4A = 4 (constant terms)

Solving for A, B, and C gives:

A = -1/4

B = 1/4

C = 1/4

Therefore,

X² + 4/(x(x² - 4)) = (-1/(4x)) + (1/(4(x+2))) + (1/(4(x-2)))

(c) We want to write X² + 4/(x²(x - 4)) in the form (A/x²) + (B/x) + (C/(x-4)). First, we find A, B, and C by multiplying both sides by the common denominator x²(x-4):

X²(x-4) + 4x² = Ax(x-4) + Bx²(x-4) + Cx²

Expanding both sides gives:

X²x - 4X² + 4x² = Ax² - 4Ax + Bx³ - 4Bx² + Cx²

Grouping terms by powers of x gives:

(X² + 4) = (B)x³ + (A-4B)x² + (-4A+C)x

Now that we have a common denominator of (x² - 4), we can combine the two fractions and simplify:

X(x² + 4) - 2(x² - 4) = A(x - 2) + B(x + 2)

Expanding and simplifying the left side:

x³ + 4x - 2x² + 8 = Ax - 2A + Bx + 2B

Grouping the like terms on each side:

x³ - 2x² + Ax + Bx + 4x - 2A + 2B + 8 = 0

Now we have a polynomial equation that we can use to solve for A and B. We can do this by equating the coefficients of like terms on both sides. Specifically, we can equate the coefficients of x² and x:

x³ - 2x² + Ax + Bx + 4x - 2A + 2B + 8 = 0

Coefficients of x²: -2 = A

Coefficients of x: 4 = B

Therefore, we have:

X(x² + 4)/(x² - 4) = (-2x)/(x² - 4) + (4)/(x² - 4)

Learn more about partial fraction decomposition at

https://brainly.com/question/30894807

#SPJ4

Answer:

Step-by-step explanation:

1 + 1 divided by 3 x 3.5 = 4.66 or 4 2/3

Answer: 64 sqaure centimetres.

Step-by-step explanation:

- Surface area means the area of all exterior sides of a 3D dimensional shape. This means we'll have to find the area of every face and then add them all together.

Top and Bottom

4 x 4 = 16

16 x 2 = 32

Both faces are the same so once we find the area of one, we can just double it.

North, South, East and West Side

4 x 2 = 8

8 x 4 = 32

All four remaining faces had the same dimensions, meaning that once you found one, you just had to multiply that answer by 4.

To find the overall surface area add all the areas you have.

32 + 32 = 64

or

16 +_16 + 8 + 8 + 8 + 8 = 64

It will take Tom and Nelson 1.875 hours, or 1 hour and 52.5 minutes, to complete the report working together.

To solve this problem, we can use the concept of work done. Let's assume that a report is a unit of work, and Tom and Nelson each do a fraction of the work in one hour.

Tom can do the entire report in 3 hours, which means he can do 1/3 of the report in one hour. Similarly, Nelson can do 1/5 of the report in one hour.

If they work together, the fraction of the report they can do in one hour is the sum of their individual fractions:

1/3 + 1/5 = 8/15

So, together they can do 8/15 of the report in one hour. To find out how long it will take them to do the entire report working together, we can use the formula:

time = work ÷ rate

where work is 1 (the whole report) and rate is 8/15 (the fraction of the report they can do in one hour).

time = 1 ÷ (8/15)

time = 1.875 hours

Therefore, it will take Tom and Nelson 1.875 hours, or 1 hour and 52.5 minutes, to complete the report working together.

Learn more about ratio and proportion

brainly.com/question/29774220

#SPJ11

The bearing of C from A is 90 degrees when B is equidistant from A and C.

In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.

Let's assume that the distance from B to A and from B to C is the same.

To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:

180 - 129 = 51

This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:

219 - 180 + 51 = 90 degrees

Therefore, the bearing of C from A is 90 degrees.

To know more about the bearing visit:

brainly.com/question/29139376

#SPJ1

The equation that could be used to determine the area of Kahuna's bed is:

The area of Kahuna's bed can be determined by multiplying its length by its width.

Let's first determine the length and width of Kahuna's bed in terms of x.

The width of Kahuna's bed is 2 feet wider than Bella's bed, which means its width is:

2 + 2 = 4 feet

The length of Kahuna's bed is 8x feet longer than Bella's bed, which means its length is:

3 + 8x

Therefore, the area of Kahuna's bed can be calculated as:

Area = length x width

Area = (3 + 8x) x 4

Expanding the equation, we get:

Area = 12 + 32x

Learn more about area  at

https://brainly.com/question/25292087

#SPJ1