Larissa spent $280 per month on
clothes and a total of $2,920 for food
and entertainment during the last
5 months. How much should Larissa
expect to pay for clothes, food, and
entertainment in 1 year?

Brand B contains 3% saline solution by volume. Then, C is the right answer.

Percentage of saline solution in brand B, let x be.

We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.

Then the equation is given as,

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

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The newspaper's assertion is correct, it is unlikely that 14 triumphs will be observed in a sample of 25.

The further answer is described below.

In this problem,

The binomial distribution can be used.

Let p represent the likelihood of an item selling within a week, as reported by the newspaper,

And q represent the probability of an item not selling within a week

Then we have,

p = 0.7

q = 1 - p = 0.3

n = 25 (sample size)

x = 14 (number of items sold within a week in the sample)

The probability of observing exactly x successes in n trials,

Given a probability of success p, is given by the binomial probability formula:

P(X = x) = (n choose x) \(p^{x}\)\(q^{(n-x)}\)

Where (n choose x) = n! / (x! x (n-x)!) is the number of possible ways to choose x items out of n.

Put the values,

P(X = 14) = \(^{25} C_{14}\) 0.7 0.3

              = 0.107

So, if the newspaper's assertion is correct, the probability of detecting exactly 14 successes (i.e., things sold within a week) in a sample of 25 is around 0.107 or 10.7%.

If the newspaper's assertion is correct, it is unlikely that 14 triumphs will be observed in a sample of 25.

However, it is not impossible, therefore we cannot rule out the chance that the newspaper's assertion is genuine based just on this sample.

To get a more certain conclusion, a bigger sample size would be required.

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Answer:

3.75 hours

Step-by-step explanation:

Bob completes his homework in 2.5 hours.

In 1 hour, he completes 1/2.5 of his homework.

Joe completes his homework in x hours.

In 1 hour, he completes 1/x of his homework.

Together, they complete the homework in 1.5 hours.

In 1 hour, they do 1/1.5 of the homework.

1/2.5 + 1/x = 1/1.5

Convert the decimal numbers in the numerators into fractions.

1/(5/2) + 1/x = 1/(3/2)

2/5 + 1/x = 2/3

Multiply both sides by the LCD, 15x.

6x + 15 = 10x

-4x = -15

x = 3.75

Answer: 3.75 hours

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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The equation of a line in the slppe intercept form is expressed as

y = mx + c

where

m = slope

c = y intercept

The formula for determining the slope is expressed as

m = (y2 - y1)/(x2 - x1)

where

y2 and y1 are the values on the y axis corresponding to the final and initial points on the line

x2 and x1 are the values on the x axis corresponding to the final and initial points on the line

Looking at the points on the line,

x1 = - 2, y1 = - 4

x2 = 4, y2 = 8

m = (8 - - 4)/(4 - - 2) = (8 + 4)/(4 + 2) = 12/6

m = 2

The y intercept, c is the point where the line cuts across the y axis. Looking at the graph, c = 0

By substituting m = 2 and c = 0 into the slope intercept equation, the equation of the line is

y = 2x

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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Answer:

Give me a question to answer and I can show you.

Step-by-step explanation:

Get on your keyboard and start typing your question then I can try my best to help you.

Answer:

almonds: $10.20

cashews: $12.40

Step-by-step explanation:

Answer:

3/4 cups

Step-by-step explanation:

Answer:

2 1/4 cups

Step-by-step explanation:

Hope this helps.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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You can find the area by using the formula: S = πr². In this case, r = 4, π = 3.14, so the area equals to 3.14 * 16 = 50.24.

The area is:

50.24 cm²

Work/explanation:

The formula for a circle's area is:

\(\boxed{\!\!\boxed{\quad\sf{A=\pi r^2\quad}}\!\!}\)

A = area

π = 3.14

r = radius

Diagram:

\(\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 4\ cm}\end{picture}\)

Now to solve further, plug in the data from the problem:

                            \(\Large\begin{gathered}\sf{A=\pi r^2}\\\sf{A=3.14\times4^2}\\\sf{A=3.14\times16}\\\sf{A=50.24\:cm^2}\end{gathered}\)

And we get that A = 50.24 cm².

Answer:

1/210 i am pretty sure

Step-by-step explanation:

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer: 2 cakes.

Step-by-step explanation:

There will be a total number of 6 people at Eli's cake party.

You want that each one of these 6 people to eat at least 1/5 of a cake.

Then you need to make, at least, 6 times 1/5 of a cake.

This is equal to:

6*(1/5) of a cake = 6/5 of a cake.

And we can rewrite this as:

(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.

But you can not bake only 1/5 of a cake, we need whole numbers.

Then we need to round up to the next whole number, which is 2.

This means that you need to bake at least 2 cakes.

Since the function is already in standard form (ax^2 + bx + c form) you don't have to change anything and simply rewrite it.

For the vertex, if you have a quadratic function in standard form -b/2a is the x value of the vertex.

-b/2a = -4/(2(2)) = -1

Since we now know the x-value of the vertex we can plug it into the function to find the corresponding y-value.

h(-1) = 2(-1)^2 + 4(-1) - 10 = -12

So, the vertex is at (-1,-12)

Given

the perimeter of a rhombus is 560 meters

one of its diagonals has a length of 76 meters.

Procedure

The perimeter of a rhombus is:

P=4L

if d1=76 and L=140, we can find d2

the area is:

The answer is:

Part A: the length of the other diagonal is 269.48

Part B: The area is 10240 square meters.​

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

Step-by-step explanation:                                                                          

a) We need to find the conditional p m f of X when Y = 1.

So, when Y = 1, there are only two X values: X =1 and X =2.

X can have any of the following values: 0, 1, 2, or 3                                                                                                        

so P(0) = 0/ 0.2 = 0          

P(1) = 0.1/(0.1+0.1) = 0.5

P(2) = 0.1/( 0.1+ 0.1) = 0.5

P(3) = 0/ 0.2 = 0

b)  The correlation coefficient of X and Y isρXY              

ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y

We will calculate σ^X first by μ^x

f x(x) = 0.2; x = 0

= 0.2; x =1

= 0.2 ; x = 2

= 0.4 ; x = 3

μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^X = 1.166

We will calculate σ^y first by μ^y

f^ x (X) = 0.2; y = 0

= 0.2; y =1

= 0.2 ; y= 2

= 0.4 ; y = 3

μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8

σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36

σ^y = 1.166

Now we will calculate σ^XY

σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26

σ^XY = 1.225        

so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9

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Answer:

the answer to your question will be 252

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: below

Step-by-step explanation:

The first equation y = x + 5 is the equation of a straight line with slope 1 and y-intercept 5. We can plot this line by starting at the point (0, 5) and then moving up one unit for every one unit to the right.

The second equation y = -(x + 5) is also the equation of a straight line, but with slope -1 and y-intercept -5. We can plot this line by starting at the point (0, -5) and then moving down one unit for every one unit to the right.

The third equation y = |x + 5| is the equation of a V-shaped graph, or an absolute value function, centered at x = -5. We can plot this graph by first plotting the portion of the graph for x < -5, which is given by y = -(x + 5). Then, we can plot the portion of the graph for x > -5, which is given by y = x + 5. Finally, we can connect these two portions of the graph at x = -5 by drawing a vertical line segment from (-5, 0) to (-5, 10).

Answer:

First, let's start with y = x + 5.

To graph this equation, we can use a table of values. We'll choose a few values of x, and then plug them into the equation to find the corresponding values of y.

x | y

--|---

-5 | 0

-4 | 1

-3 | 2

-2 | 3

-1 | 4

0 | 5

1 | 6

2 | 7

3 | 8

4 | 9

5 | 10

Now, we can plot these points on a graph and connect them with a straight line.

```

| *

10|

| *

| *

| *

|*

| -------------

| -5 -4 -3 -2 -1 0 1 2 3 4 5

```

This is the graph of y = x + 5.

Next, let's look at y = -(x + 5).

This equation is similar to the first one, but with a negative sign in front of the parentheses. This means that the graph will be a mirror image of the first one, reflected across the y-axis.

So, we already know some of the points on this graph. If we take the points from the first graph and flip them horizontally (i.e. change the sign of the x-coordinate), we'll get the points for the second graph.

x | y

--|---

5 | 0

4 | -1

3 | -2

2 | -3

1 | -4

0 | -5

-1 | -6

-2 | -7

-3 | -8

-4 | -9

-5 | -10

Plotting these points on a graph and connecting them with a straight line, we get:

```

|*

10| *

| *

| *

| *

| *

| *

| *

|---------------

| -5 -4 -3 -2 -1 0 1 2 3 4 5

```

This is the graph of y = -(x + 5).

Finally, let's look at y = |x + 5|.

This equation involves absolute value, which means that the graph will be "V"-shaped. The vertex of the "V" will be at x = -5.

To find some points on this graph, we can again use a table of values. We'll choose some values of x, and then plug them into the equation, being careful to take the absolute value of the result.

x | y

--|---

-10 | 5

-5 | 0

0 | 5

5 | 10

10 | 15

Now, we can plot these points on a graph and connect them to form a "V" shape.

```

| *

15| *

| *

| *

| *

| *

|-------------

|-10 -5 0 5 10

```

This is the graph of y = |x + 5|.

The correct expression to model the cost of manufacturing b basketballs in 1 day is:

O $5.25b-$1,400.00

The fixed costs of manufacturing the basketballs are $1,400.00 per day, and the variable costs are $5.25 per basketball. To find the total cost of manufacturing b basketballs in 1 day, you need to add the fixed costs and the variable costs for each basketball.

The variable costs for b basketballs would be $5.25 * b. To find the total cost, you need to subtract the fixed costs of $1,400.00 from this amount. This can be represented by the expression $5.25b - $1,400.00.

The other expressions do not correctly represent the cost of manufacturing b basketballs in 1 day because they do not correctly account for both the fixed costs and the variable costs.

Answer:

Slope - intercept form    \(y = \frac{14}{3} x + 34\)

Step-by-step explanation:

Explanation:-

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

    \(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}\)

The equation of the straight line passing through the points and having slope

          \(y - y_{1} = m ( x - x_{1} )\)

        \(y - (-8) = \frac{14}{3} ( x - (-9) )\)

          3 y + 2 4 = 14 x + 126

           3 y = 14 x + 126 - 24

          3 y = 14 x + 102

            \(y = \frac{14}{3} + \frac{102}{3}\)

           \(y = \frac{14}{3} x + 34\)

Slope - intercept form  y= mx +C

Slope - intercept form    \(y = \frac{14}{3} x + 34\)

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 1: Lawyer

Null Hypothesis: There is no association between handedness and career for Lawyers.

Alternative Hypothesis: There is an association between handedness and career for Lawyers.

Profession 2: Pilot

Null Hypothesis: There is no association between handedness and career for Pilots.

Alternative Hypothesis: There is an association between handedness and career for Pilots.

Profession 3: Accountant

Null Hypothesis: There is no association between handedness and career for Accountants.

Alternative Hypothesis: There is an association between handedness and career for Accountants.

Profession 4: Nurse

Null Hypothesis: There is no association between handedness and career for Nurses.

Alternative Hypothesis: There is an association between handedness and career for Nurses.

Profession 5: Teacher

Null Hypothesis: There is no association between handedness and career for Teachers.

Alternative Hypothesis: There is an association between handedness and career for Teachers.

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Answer:

834 years.

Step-by-step explanation:

Let \(y\) equal years.

Construct an equation:

\(1200y=1000000\)

Divide both sides of the equation by the coefficient of \(y,\) which is \(1200\):

\(y=833.3333...\\\)

Round up to the nearest whole number:

\(y=834\)