Kara, Sammy, Liz, and Mark each took many samples from the same population of students. The number of students in each sample is shown in the table. Which person’s sampling distribution was most likely to closely approximate the population distribution. Kara: 83 | Sammy: 14 | Liz: 46 | Mark: 65

By resolving equations, we know that we can add 10 pounds of mixed nuts that include 20% peanuts.

An equation is a statement that demonstrates the equality of two mathematical expressions, according to mathematics.

For instance, the equation 3x + 5 = 14 is composed of equation 2 3x + 5 and 14, which are separated by the equal sign.

So, we require x pounds of the mixed nuts in total.

This mixture contains 0.70 pounds of peanuts.

The 20% mix, or 0.20*15, is made out of 3 pounds of peanuts.

Equation obtained: 0.70 x + 3 = 0.40(x + 15)

Solve the equation as shown below:

0.70 x + 3 = 0.40(x + 15)

0.70 x + 3 = 0.40(x + 15)

0.70x + 3 = 0.40x + 6

0.70x - 0.40x = 6 - 3

0.30x = 3

x = 10 pounds

Therefore, by resolving equations, we know that we can add 10 pounds of mixed nuts that include 20% peanuts.

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Answer:

b = 44°

Step-by-step explanation:

Opposite angles are congruent.

Answer:

y=3/2x-11

Answer: You Like Big Black Men and You love them dancing on you

Step-by-step explanation:

I have your search history ;)

The system of inequalities can LaShonda use to find the number of tickets she can buy will be;

⇒ x + y ≤ 25

⇒ 22.50x + 17.50y < 400

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

She wants to have at least 25 tickets. Each adult ticket costs $22.50 and each child ticket costs $17.50.

LaShonda wants to spend no more than $400.

Now,

Let the number of adult tickets = x

And, The number of child tickets = y

Here, She wants to have at least 25 tickets.

So, We get;

⇒ x + y ≤ 25

And, Each adult ticket costs $22.50 and each child ticket costs $17.50.

LaShonda wants to spend no more than $400.

So, We get;

⇒ 22.50x + 17.50y < 400

Thus, The system of inequalities can LaShonda use to find the number of tickets she can buy are;

⇒ x + y ≤ 25

⇒ 22.50x + 17.50y < 400

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Answer:

a

Step-by-step explanation:

just becsue

Answer:

$-185

Step-by-step explanation:

If Johns bank account is at $-141, and he continues to use money, then the equation would look something like this:
-141 + -29 + -15 =?

It's simple! Just add the numbers together!

141 + 29 = 170

170 + 15 = 185

Johns bank account status is now $-185.

Answer: Depends on what quadrant it starts in/on.

Step-by-step explanation:

Quadrant 1 is the top-right corner.
Quadrant 2 is the top-left corner.
Quadrant 3 is the bottom-left corner.
Quadrant 4 is the bottom-right corner.

Depending on what quadrant you started on will determine what quadrant you're on after rotating 90 degrees counter-clockwise.

The equation to find the total number of questions (q) on Tim's math test is 76 = 4x + 0

How to write and solve equation?

Number of wrong questions = 10

Points received for right question = 4 points

Points received for wrong question = 0 points

Total of Tim's score = 76%

According to the given question:

Let the number of questions right answered by Tim be x.

Total points gained by Tim for the right answer = number of questions right answered x Points received for a right answer

= x × 4

= 4x

Points gained by Tim for the wrong answer = number of questions wrong answered x Points received for a wrong answer

= 10 × 0

= 0

Total points scored by Tim = Points gained for the right answer + Points gained for the wrong answer

76 = 4x + 0

76 = 4x

divide both sides by 4

x = 76/4

x = 19

Hence, the number of question answered right by Tim are 19.

Total number of questions attempted by Tim

Total number of questions attempted by Tim

= number of questions answered right +number of questions answered Wrong

= 19 + 10

= 29

Hence, the total number of questions attempted by Tim is 29.

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A trigonometric equation is an equation containing one or more trigonometric ratios of unknown angles. It is expressed as the ratio of the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What are examples of trigonometric equations?

Trigonometric equations are equations containing trigonometric functions with one variable. For example, sin x + 2 = 1 is an example of a trigonometric equation. The equation can be as simple as this, or as complex as sin2 x – 2 cos x – 2 = 0.

What are the 4 types of trigonometry?

Side length ratios can be found with six trigonometric functions. The six functions are sine (sin), cosine (cos), tangent (tan), cosecant(cosec), secant (sec), and cotangent (cot).

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Answer(s):

[tex]\displaystyle y = 3sin\:(\frac{2}{3}x + \frac{\pi}{2}) + 2 \\ y = -3cos\:(\frac{2}{3}x \pm \pi) + 2 \\ y = 3cos\:\frac{2}{3}x + 2[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{3}{4}\pi} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{2}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:\frac{2}{3}x + 2,[/tex]in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{4}\pi\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{3}{4}\pi\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{3}{4}\pi} = \frac{-\frac{\pi}{2}}{\frac{2}{3}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(\frac{2}{3}x + \frac{\pi}{2}) + 2.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-4\frac{1}{2}\pi, -1],[/tex]from there to [tex]\displaystyle [-1\frac{1}{2}\pi, -1],[/tex]they are obviously [tex]\displaystyle 3\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 2,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

The expected value of the game, given the amounts to be made when a number is rolled, is  $ 1.25

First, find the probability of rolling an 8 :
= Number of eights / Number of sides

= 1 / 8

= 0.125

The the probability of rolling an odd number :

= Odd numbers from 1 to 8 / Number of sides

= 4 / 8

= 0.5

The expected value of the game is:

= ( Probability of getting an 8 x Amount if you get 8 ) + (  Probability of getting an odd x Amount if you get an odd ) + (  Probability of not getting an 8 or odd x Loss )

=  ( 0.125 x 9 ) + ( 0.5 x 1 ) + ((1 - 0.125 - 0.5) x  -1)

= $ 1.25

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Answer:

y = 1

Step-by-step explanation:

The middle of the equation on the graph is y = 1.

If a sum of $500 were shared among a group of people in the following ratios,

a) 6:4 then, 6x = 300 and 4x = 200.

b) 1:4:5 then, x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1 then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1 then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

What is ratio?

a) 6:4

Let it be 6x , 4x

6x + 4x = 500

10x = 500

x = 50

Then, 6x = 300 and 4x = 200.

b) 1:4:5

Let be x, 4x, 5x

x + 4x + 5x = 500

10x = 500

x = 50.

Then x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1

x + 8x + x =500

10x = 500

x = 50

Then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1

10x + 5x + 4x + x = 500

20x = 500

x = 25

Then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

Hence, If a sum of $500 were shared among a group of people in the following ratios,

a) 6:4 then, 6x = 300 and 4x = 200.

b) 1:4:5 then, x = 50 , 4x = 200 and 5x = 250.

c) 1 : 8 : 1 then, x =50 , 8x = 400 and x = 50

d) 10 : 5: 4: 1 then, 10x = 250 , 5x = 125, 4x = 100, x = 25.

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Answer:

  (a) (1, -3)

  (b) (2, -2)

Step-by-step explanation:

You want to identify two points on the line through (3, -1) that has a y-intercept of -4.

Graphing the line and points is suggested. The attached shows that graph, and identifies the two points on the line as ...

  (1, -3) and (2, -2)

__

Additional comment

The equation of the line is x-y=4, so you can tell if the points fall on the line by seeing if they have that difference.

The probability of the defective items is given as 0.015.

Given that,
A production line estimates that 1.50% of the items it produces is defective. In a package containing 200 items,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
Number of the item = 200
1.5% of the item is defective, = 0.015 [200]
Probability of the defective item = 0.015[200] / 200 = 0.015

Thus, the probability of the defective items is given as 0.015.

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The amount of baking powder would they need to used 1 teaspoon of salt will be 6 teaspoons.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The Mosley family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt.

Now,

Since, The Mosley family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt.

Hence, The amount of baking powder would they need to used 1 teaspoon of salt = 2 × 3

                         = 6

Thus, The amount of baking powder would they need to used 1 teaspoon of salt will be 6 teaspoons.

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A dozen of doughnuts cost $6 and a dozen of croissants cost $10.

A linear polynomial over a field, from which the coefficients are taken, can be reduced to a linear equation by equating it to zero.

Such an equation's solutions are the values that, when used as placeholders for the unknowns, result in the equality being true.

When there are just two variables, it is possible to interpret each solution as the Cartesian coordinates of a particular point on the Euclidean plane. In the Euclidean plane, a linear equation's solutions are represented by lines, and each line can be thought of as the collection of all the solutions to a linear equation with two variables.

Let,

The cost of dozen doughnuts be x

And the cost of dozen croissants be y

Given,

4x+y=34

7x+y=52

By solving both the equations, we get

-3x=-18

x=6

4x+y=34

4(6)+y=34

24+y=34

y=10

Therefore, a dozen of doughnuts cost $6 and a dozen of croissants cost $10.

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Answer:

sinA = 7/25

tanX = 35/12

Step-by-step explanation:

Trigonometric ratio for:

sinA = perpendicular/hypotenuse = 14/50 = 7/25

tanX = perpendicular/base = 35/12

Answer:

----------------------------------

Both cars will make same distance but the first one will be on road for 3 more hours.

Let the number of hours the first car in travel be x.

Then set an equation:

The null hypothesis is it takes a customer less than or equal to 25 minutes to eat lunch.

The alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

What is null and alternate hypothesis?

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. The alternative hypothesis is one of the suggested hypotheses in statistical hypothesis testing.

We are given a statement,

The manager of a restaurant believes that it takes a customer less than or equal to 25 minutes to eat lunch.

According to null hypothesis, There is no difference or change

Hence the null hypothesis is, it takes a customer less than or equal to 25 minutes to eat lunch.

Where as in alternate hypothesis, There should be a difference of change

Hence the alternate hypothesis is it takes a customer more than 25 minutes to eat lunch.

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A linear equation that represents the total cost in dollars of the oil change is Y = 25X + 40

What is a Linear Equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Linear Equations in Standard Form

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.

Given :

Cost of the oil (calculated once) = $40

Cost of labour (calculated per hour) = $25

Thus , a linear equation that represents the total cost in dollars of the oil change if it requires x hours of labor can be expressed as Y = 25X + 40 where X represents no . of working hours of labour and Y represents total cost .

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The area of the figures is shown:

Rectangle A: 54 units²

Rectangle C: 21 units²

Triangle B: 3 units²

The measurement that expresses the size of a region on a plane or curved surface is called an area.

Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The area of rectangle A:

Area = l*b

Area = 9*6

Area = 54 units²

Area of rectangle C:

Area = l*b

Area = 3*7

Area = 21 units²

Area of triangle B:

Area = 1/2 * b * h

Area = 1/2 * 3 * 2

Area = 1 * 3

Area = 3 units²

Therefore, the area of the figures is shown:

Rectangle A: 54 units²

Rectangle C: 21 units²

Triangle B: 3 units²

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A vertex with degree 2 in a graph has an edge that loops around itself. The graph is therefore a cycle graph.

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About 999 plants have weights more than 11.2 ounce.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree

Given:

Mean= 14

Standard deviation = 0.8

So, P( x > 11.2) = P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] > (11.2- 14/ 0.8)

                       = P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] >  -3.5)

                       = 0.999767

Hence, about 999 plants have weights more than 11.2 ounce.

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Answer:

[tex]\frac{12}{35}[/tex]

Step-by-step explanation:

multiple the numerators together 2 x 6  = 12 and multiply the denominators togethers 5 7 = 35

Answer:

x>-3

Step-by-step explanation:

1

Add

3

to both sides

-3x-3<6

-3x-3+

2

Simplify

Add the numbers

Add the numbers

-3x<9

3

Divide both sides by the same factor, and flip the relation because the factor is negative

-3x<9

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x>-3

Blue paint she has used in her bedroom walls is, 1.22 paints.

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure below the line.

The walls of Angela's bedroom are painted with 6.1 paints each of blue and white paint.

So to find the blue paint ,

she used 4/5 of whole pigments as white paint.

Firstly we multiple it by whole paint that is 6.1 and find white paint and then whole paint subtracted with white paint will give blue paint.

She painted using 4/5 of the whole amount of pigments as white paint

That amount in pints of white paint is equal to

4/5 * 6.1.

= 4.88 paints of white

The number of paints used to paint blue is therefore:

whole paint - white paint.

= 6.1 - 4.88

As a result, 1.22 blue paints she has used.

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Answer:

Green line:  y is greater than or equal to ax+b

Purple line:  y is less than ax+b

(-3, -5) : Yes

(1, 6) : No

Step-by-step explanation:

When graphing inequalities:

Green line

From inspection of the given graph, the green line is a solid line and the shading is above the line.

Therefore, the inequality symbol of the green line is ≥.

"y is greater than or equal to ax+b"

Purple line

From inspection of the given graph, the purple line is a dashed line and the shading is below the line.

Therefore, the inequality symbol of the purple line is <.

"y is less than ax+b"

The solutions to a graphed system of inequalities are found in the overlapping shaded region.

Yes, point (-3, -5) is a solution to the system of inequalities as this point is in the overlapping shaded region.

No, point (1, 6) is not a solution to the system of inequalities as this point is not in the overlapping shaded region.

Answer:
S=64 x S = length

Answer:

A

Step-by-step explanation:

15 : 100 = x : 250

x = 250 * 15 / 100

x =  2.5 * 15

x = 37.5

x = 38