A Diagram Of Two Rectangular Prisms Is Shown Below. 45 Explain The Process For Determining the combined volume of the two prisms.

Answers

Answer 1

Therefore, the combined volume of the two rectangular prisms is 132 cubic units.

Provide an illustration of a rectangle.

2-D enclosed shapes with four sides, four corners, and four right angles are called rectangles. A rectangle has two equal and parallel opposite sides.

To determine the combined volume of the two rectangular prisms shown in the diagram, we need to find the sum of their individual volumes. The volume of a rectangular prism is given by the formula:

Volume = length x width x height

In the diagram, we can see that the first rectangular prism has a length of 5 units, a width of 3 units, and a height of 4 units. The second rectangular prism has a length of 6 units, a width of 4 units, and a height of 3 units.

To find the volume of the first rectangular prism, we can use the formula:

Volume of first prism = length x width x height

Volume of first prism = 5 units x 3 units x 4 units

Volume of first prism = 60 cubic units

To find the volume of the second rectangular prism, we can use the same formula:

Volume of second prism = length x width x height

Volume of second prism = 6 units x 4 units x 3 units

Volume of second prism = 72 cubic units

Finally, to find the combined volume of the two prisms, we just need to add their individual volumes:

Combined volume = Volume of first prism + Volume of second prism

Combined volume = 60 cubic units + 72 cubic units

Combined volume = 132 cubic units

Therefore, the combined volume of the two rectangular prisms is 132 cubic units.

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Related Questions

A baseball coach uses a scatter plot to compare the number of swings taken before a baseball tournament and the number of hits during the baseball tournament. What can the coach conclude about the relationship between the number of swings and the number of hits? PLEASE HELP !!!!!!

Answers

Answer: Without seeing the actual scatter plot, it is difficult to make a definitive conclusion about the relationship between the number of swings and the number of hits. However, there are a few things that the coach can look for in the scatter plot to gain some insights:

Positive correlation: If the scatter plot shows a generally upward trend, with more hits occurring as the number of swings increases, this suggests a positive correlation between the two variables. In other words, players who take more swings tend to have more hits during the tournament.

Negative correlation: On the other hand, if the scatter plot shows a generally downward trend, with fewer hits occurring as the number of swings increases, this suggests a negative correlation between the two variables. In this case, players who take fewer swings tend to have more hits during the tournament.

No correlation: If the scatter plot shows no clear trend or pattern, with hits occurring randomly across different numbers of swings, this suggests no correlation between the two variables. In this case, there is no apparent relationship between the number of swings taken and the number of hits during the tournament.

Overall, the coach can use the scatter plot to gain some insights into the relationship between the number of swings and the number of hits, but more advanced statistical analysis may be necessary to make definitive conclusions.

Step-by-step explanation:

Use the diagram to write an example of the Line-Point Postulate.

A diagram shows a plane, M. Points,H J, K, G, and L, are marked on the plane. A line, q, passes through points, J, H, and K. A line, p, passes through a point, G, intersecting line, q, at point H.

Responses

Line $p$ contains point $H$ .
Line p contains point cap h.

Line $p$ contains points $H$ and $J$ .
Line p contains points cap h and cap j.

Line $q$ contains point $J$ .
Line q contains point cap j.

Line $q$ contains points $J$ and $K$ .
Line q contains points cap j and cap k.

Answers

We can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.

What is Line point postulate ?

The line-point postulate, also known as the incidence postulate, is a fundamental axiom in geometry that states that for any two points in a plane, there exists exactly one line that contains both points.

In other words, the line-point postulate asserts that a line can be uniquely determined by two distinct points that lie on it. This is one of the most basic and intuitive principles in geometry, and it is essential for building a foundation for more advanced concepts such as angles, triangles, circles, and more.

The Line-Point Postulate states that a line can be uniquely determined by any two distinct points on the line. In this diagram, we can see an example of this postulate in action.

For instance, we can say that line $q$ passes through points $J$ and $K$, so according to the Line-Point Postulate, this is enough information to uniquely determine the line $q$. Similarly,

Therefore, we can say that line $p$ passes through point $H$, which is also enough information to uniquely determine line $p$.

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The weather forecast shows a 70% chance of rain. If it does not rain, there is a 90% chance of going to the beach. What is the probability of going to the beach?

Answers

Answer:

40% chance

I hope I'm right srry if its wrong

(a)A deck has twenty-five cards. Four are labeled with a "", six with a "", ten with a "", and five with a "". Make a percent bar graph for the cards.


























(b)A bag has five marbles. One is labeled with a "", and the other four are labeled with a "". Make a percent bar graph for the marbles.


(c)In each trial of an experiment, a card and a marble are randomly chosen. The number on the card and the number on the marble are recorded to find their sum. After each trial, the card is returned to the deck and the marble is returned to the bag.
Press "Run" to simulate trials based on the graphs you made. Then answer the questions below.


Card 1 2 3 4 1 2 3 4
Marble 1 1 1 1 2 2 2 2
Number of trials
A total number of trials:
In the simulation, which sum was more common, or? What percentage of the time did that sum occur? Do not round your answer. (In this simulation, a correct answer will not have more than one decimal place.) Important: If you run the simulation again, then you may need to adjust your answers.

Answers

The labels on the x-axis indicate the type of card, and the percentages are listed on the y-axis.

What is Algebraic expression?

Algebraic expression can be defined as combination of variables and constants.

To create a percent bar graph for the cards in the deck, we first need to determine the percentage of each type of card in the deck.

There are a total of 25 cards in the deck, and the breakdown of each type of card is as follows:

4 cards labeled with a "": (4/25) x 100% = 16%

6 cards labeled with a "": (6/25) x 100% = 24%

10 cards labeled with a "": (10/25) x 100% = 40%

5 cards labeled with a "": (5/25) x 100% = 20%

Now that we have the percentage for each type of card, we can create the percent bar graph.

Cards Label    

"" 16%  

""  24%  

""   40%

""    20%

In this graph, each bar represents a type of card in the deck, and the length of each bar represents the percentage of cards that fall into that category.

Therefore, The labels on the x-axis indicate the type of card, and the percentages are listed on the y-axis.

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Please help me :( I would appreciate it.

use the Remainder Theorem and synthetic division please

Answers

Answer:

f (3) = 142

Step-by-step explanation:

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The following is data for the first and second Quiz scores for 8 students in a class.
First Quiz Second Quiz
14
16
29
42
43
44
47
48
11
17
31
35
37
37
38
43
Plot the points in the grid below, then sketch a line that best fits the data.
50+
45
40-
35
30
25
20
15
10-
5+
Clear All Draw:
5 10 15 20 25 30 35 40 45 SC
YAY

Answers

The equation of the line of best fit is ŷ = 0.8x + 3.3

How to determine the equation of the line of best fit

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

X- 14 16 29 42 43 44 47 48

Y- 11 17 31 35 37 37 38 43

When these values are entered in a graphing calculator, we have the following summary:

Sum of X = 283Sum of Y = 249Mean X = 35.375Mean Y = 31.125Sum of squares (SSX) = 1343.875Sum of products (SP) = 1055.625

For the regression equation, we have

ŷ = bX + a

Where

b = SP/SSX = 1055.63/1343.88 = 0.78551

a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764

So, we have

ŷ = 0.78551x + 3.33764

Approximate

ŷ = 0.8x + 3.3

Hence, the equation is ŷ = 0.8x + 3.3

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Classify the triangle below as Right, Obtuse, or Acute

Answers

The triangles are classified as:

4. Acute 5. Obtuse 6. Obtuse 7. Acute 8. Obtuse 9. Acute 10. Obtuse

How to Classify Triangles as Right, Obtuse, or Acute?

To classify a triangle as right, obtuse, or acute, we need to apply the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

If the square of the hypotenuse is greater than the sum of the squares of the other two sides, then the triangle is obtuse. If the square of the hypotenuse is less than the sum of the squares of the other two sides, then the triangle is acute.

4. To check if this is a right triangle, we need to find if 9² is equal to 4² + 6², which is not true, so the triangle is acute.

5. To check if this is a right triangle, we need to find if 16² is equal to 10² + 12², which is not true, so the triangle is obtuse.

6. To check if this is a right triangle, we need to find if (8√6)² is equal to 8² + 16², which is not true, so the triangle is obtuse.

7. To check if this is a right triangle, we need to find if 29² is equal to 20² + 21², which is true, so the triangle is acute.

8. To check if this is a right triangle, we need to find if √73² is equal to 3² + 8², which is not true, so the triangle is obtuse.

9. To check if this is a right triangle, we need to find if 12² is equal to 8² + 10², which is true, so the triangle is acute.

10. To check if this is a right triangle, we need to find if (3√34)² is equal to 9² + 15², which is not true, so the triangle is obtuse.

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Which insect measurement was the most frequent?
Length of insects (in inches)

Answers

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

How to obtain the most frequent insect measurement?

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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find the slope of a line perpendicular to each given line.

y= -2x -2

Answers

Answer:

Using the slope-intercept form, the slope is −2 .

Step-by-step explanation:

Step-by-step explanation:

solution

Equation of line,

y=-2x-2

2x+y=2 - - - - - - -1

Now,

slope of line,

m= -x coefficient/ y coefficient

= -2/1

= -2

Slope of required line which is perpendicular to the line

m.m = -1

-2.m = -1

m = -1/-2

m =1/2

7234 rounded off to the nearest 5

Answers

The number 7234 can be rounded to the nearest multiple of and it is 7235.

How to round a number?

Check the value of the remainder:

If the remainder is less than 2.5, round down to the nearest multiple of 5

If the remainder is 2.5 or greater, round up to the nearest multiple of 5

Rounding off 7234 to the nearest 5 means we need to find the multiple of 5 that is closest to 7234.

Divide 7234 by 5 and get the quotient and remainder

= 7234 ÷ 5

= 1446 with a remainder of 4

Multiply the quotient by 5 and add the value determined.

Using this method, we can see that the nearest multiple of 5 to 7234 is 7235, since the remainder is 4 which is less than 2.5. Therefore, rounding off 7234 to the nearest 5 results in 7235.

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The complete question:

What will be the value when 7234 rounded off to the nearest 5(which will be divisible by 5)?

13. Sameen wants to build a fence around a rectangular area of her yard. The graph shows the area y in square feet that she can surround with the fencing that she has, where x is the width in feet of the rectangle.

Answers

We can write the quadratic equation as -

y = - (x - 25)² + 625

What is the general form of a quadratic equation?

The general form of a quadratic equation is -

y = ax² + bx + c

where -

a, b and c are constants.

Given is that Sameen wants to build a fence around a rectangular area of her yard. The graph shows the area {y} in square feet that she can surround with the fencing that she has, where the breadth is width {x} in feet of the rectangle.

The given coordinates on the parabola are -

(8, 336)

(42, 336)

(25, 625)

Here, the point (25, 625) represents the vertex (h, k) of the parabola.

We can write the equation of parabola as -

y = a(x - h)² + k

y = a(x - 25)² + 625

For the point (8, 336), we can write -

336 = a(8 - 25)² + 625

336 - 625 = a(8 - 25)²

a(8 - 25)² = - 289

a(- 17)² = -289

a = -289/289

a = -1

So, we can write the quadratic equation as -

y = - (x - 25)² + 625

Therefore, we can write the quadratic equation as -

y = - (x - 25)² + 625

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6TH GRADE MATH, SOMEONE PLSS HELP!!! TY! ALSO THE ANSWERS GO IN ORDER FOR EXAMPLE, SLOPE IS FIRST NUMBER, AND Y INTERCEPT IS SECOND NUMBER, TYSMM

Answers

Answer:

4/3, -3

Step-by-step explanation:

slope is the number in front of the variable x, and y intercept is when x=0

Brad is standing on a hill which places him at the same height as a nearby flagpole. The flagpole is 15 ft. high and Brad is 20 ft. horizontally from the top of the pole. Brad can see the bottom of the flag pole.


What is the length in feet of Brad's "line of sight" to the base of the flagpole?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

your ans please mark me brainiest

18. What is the measure of
40
180
90
80

Answers

Answer:

80

Step-by-step explanation:

This is because angles A, B, C, and D are all 40° and angle o looks to be bigger than 40° but is still an acute angle so forth being 80°

A traffic light cycles through red, yellow, and green every 2 minutes. How many seconds does the cycle last? Show your work?

Answers

Answer:

Step-by-step explanation:

number of minuties for whole cycle

green time+yellow time+ orange time

2+2+2=6

min to seconds==> 1min=60 seconds

so 6*60=360 seconds

Enjoy:)

HELPP PLS ITS MY HOMEWORK

Answers

Answer:

x=16

Step-by-step explanation:

Mark as brainliest

Answer:

x = 16

Step-by-step explanation:

First find height (h) of the triangle:

15² = 9² + h²

h² = 15² - 9² = 144

h = √144 = 12

Now you can find the base angle Ф of the 12-9-15 triangle:

Ф = sin⁻¹(12/15) = 53.1°

Find the measure of the other base angle by knowing that the sum of the interior angles of a triangle = 180:

180 - 90 - 53.1 = 36.9°

Now you can find x:

tan(36.9) = 12/x

x = 12/tan(36.9) = 16

[tex]P(x) = x^4 - x^3 - 11x^2 + 9x + 18[/tex]. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviours of the graph and where the company will break even (where P(x) = 0)

Answers

The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

How did we arrive at this assertion?

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

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- Calculate how many pupils there are in the class if there are 21 girls.​

Answers

There are 37 pupils in the class.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, the ratio of girls to boys is 4:3, this means that for every 4 girls, there are 3 boys.

We can use this ratio to find the number of boys in the class. Let's set up a proportion:

4 girls : 3 boys = 21 girls : x boys

where x is the number of boys in the class.

To solve for x, we can cross-multiply:

4 girls * x boys = 3 boys * 21 girls

4x = 63

x = 15.75

We can't have a fractional number of students, so we need to round up to the nearest whole number. This means there are 16 boys in the class.

Total number of pupils = 21 girls + 16 boys = 37 pupils

Therefore, there are 37 pupils in the class.

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Complete question:

the ratio of girls to boys is 4:3. Calculate how many pupils there are in the class if there are 21 girls.​

Hi! can someone please help me with this Regressions/ Max Volume question? Thanks.

Answers

A. Linear correlation coefficients is 0.880, Quadratic correlation coefficients is 0.894, Exponential correlation coefficients is 0.888. B. the best fit for this data.

Describe Correlation Coefficients?

Correlation coefficients are statistical measures that describe the relationship between two variables. They provide a quantitative measure of the strength and direction of the relationship between two variables.

To find the correlation coefficients, we need to calculate the coefficient of determination (r²) for each type of function.

Linear:

Using a calculator or spreadsheet, we can calculate the linear regression equation to be: y = 0.150x + 0.065

where x is the cost of the meal and y is the tip.

The coefficient of determination for the linear function is r² = 0.880, which rounds to 0.880.

Quadratic:

Using a calculator or spreadsheet, we can calculate the quadratic regression equation to be: y = 0.004x² + 0.225x - 0.226

The coefficient of determination for the quadratic function is r² = 0.894, which rounds to 0.894.

Exponential:

Using a calculator or spreadsheet, we can calculate the exponential regression equation to be: y = 0.070e^(0.087x)

The coefficient of determination for the exponential function is r² = 0.888, which rounds to 0.888.

Therefore, the correlation coefficients are:

Linear: 0.880

Quadratic: 0.894

Exponential: 0.888

The quadratic function has the highest coefficient of determination (r²), so it is the best fit for this data.

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Algebra nation question, i need help

Answers

By answering the above question, we may state that Graphical equation depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

What is equation?

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

Mathematicians use graphs to visually express or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

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{x|x is an even, negative integer and x > - 25}

Answers

The number of elements in set A is n = 12 elements of the set A is given by A = { -24 , -22 , -20 , -18 , -16 , -14 , -12 , -10 , -8 , -6 , -4 , -2 }

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the set notation be represented as S

Now , the value of S is

S = {x|x is an even, negative integer and x > - 25}

Now , the value of the set A is given by all the numbers greater than -25 which are negative and even

So , A = { -24 , -22 , -20 , -18 , -16 , -14 , -12 , -10 , -8 , -6 , -4 , -2 }

The number of elements in set A = 12 elements

Therefore , the value of n = 12 elements

Hence , the set A = { -24 , -22 , -20 , -18 , -16 , -14 , -12 , -10 , -8 , -6 , -4 , -2 }

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Answer the following questions using the image below

a) If the slant range of the plane in the image is 14.5 km, and the ground range is 10.15 km, find the altitude of the plane to the nearest meter. Show your work and explain your thinking.

b) If this plane loses power and descends suddenly at a rate of 750 meters per minute, how much time will the pilot have before he has to land?

Answers

a) The altitude οf the plane is apprοximately 10,780 meters.

b) The pilοt will have apprοximately 14.4 minutes befοre he has tο land if the plane descends suddenly at a rate οf 750 meters per minute.

What are trigοnοmetric functiοns?  

Trigοnοmetric functiοns are mathematical fοrmulas that cοnnect a triangle's angles and side ratiοs. Sine, cοsine, and tangent are the three fundamental trigοnοmetric functiοns; they are alsο knοwn as sin, cοs, and tan, respectively. These functiοns are emplοyed in the study οf physics, engineering, and οther branches οf science as well as in the study οf geοmetry, trigοnοmetry, and οther branches οf mathematics. They can be used tο sοlve issues invοlving angles and distances, such as determining a building's height, the separatiοn between twο οbjects, οr the speed οf a mοving οbject.

a) The Pythagοrean theοrem, which relates the three sides οf a right triangle, can be used tο determine the plane's altitude. In this instance, the slant range serves as the hypοtenuse οf a right triangle, with the grοund range serving as οne οf the legs and the height serving as the οther leg. As a result, we have:

altitude² + grοund range² = slant range²

Substituting the given values, we get:

altitude² + (10.15 km)² = (14.5 km)²

Simplifying and sοlving fοr altitude, we get:

altitude² = (14.5 km)² - (10.15 km)²

altitude² = 116.205 km²

altitude = √116.205 km² ≈ 10.78 km ≈ 10,780 m

Therefοre, the altitude οf the plane is apprοximately 10,780 meters.

b) If the plane descends suddenly at a rate οf 750 meters per minute, its altitude will decrease by 750 meters every minute. Tο find hοw much time the pilοt has befοre he has tο land, we can divide the initial altitude by the rate οf descent. Therefοre, we have:

time = initial altitude/rate οf descent

Substituting the initial altitude and rate οf descent, we get:

time = 10,780 m / 750 m/min

Simplifying, we get:

time = 14.3733 min ≈ 14.4 min

Therefοre, the pilοt will have apprοximately 14.4 minutes befοre he has tο land if the plane descends suddenly at a rate οf 750 meters per minute.

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I don’t understand how to do these problems and I have a test on them tomorrow. Pls help

Answers

Where are they????????

Answer: There are no questions posted

Step-by-step explanation:

Colleen has 6 eggs, one of which is hard-boiled while the rest are raw. Colleen can't remember which of the eggs are raw. Which of the following statements is true? If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/5. The probability of Colleen selecting the hard-boiled egg on her first try is 1/5. If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/6. The probability of Colleen selecting a raw egg on her first try is 1/6.

Answers

Answer: If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/5, and the probability of Colleen selecting the hard-boiled egg on her first try is 1/6.

To see why, let's consider the possible scenarios:

Colleen selects the hard-boiled egg on her first try. There is only 1 hard-boiled egg out of the 6, so the probability of this happening is 1/6.

Colleen selects a raw egg on her first try. There are 5 raw eggs out of the 6, so the probability of this happening is 5/6. After she cracks open the raw egg, there will be 4 raw eggs and 1 hard-boiled egg left. So the probability of selecting the hard-boiled egg on her second pick is 1/5.

Therefore, the statement "If Colleen selected one egg, cracked it open and found out it was raw, the probability of selecting the hard-boiled egg on her second pick is 1/5, and the probability of Colleen selecting the hard-boiled egg on her first try is 1/6" is true.

Step-by-step explanation:


Shawn's coin collection contained 25 quarters, 20 dimes, 50 pennies, and 5 nickels. What was the
ratio of quarters to the total number of coins?

1. 04:1

2. 100 to 25

3. 1/4

4. 25: 1,000

Answers

The ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To find the ratio of quarters to the total number of coins, we need to first calculate the total number of coins.

Total number of coins = number of quarters + number of dimes + number of pennies + number of nickels

Total number of coins = 25 + 20 + 50 + 5

Total number of coins = 100

Therefore, the total number of coins is 100.

The ratio of quarters to the total number of coins is:

Quarters : Total number of coins

= 25 : 100

= 1 : 4

Hence, the answer is option 3. 1/4.

Therefore, the ratio of quarters to the total number of coins is 25:100, or simplified to 1:4.

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Find the value of x

Answers

Answer:

x = 13

Step-by-step explanation:

We know that 5x, x+12, and 90 makes a straight line, which is 180 degrees

5x + x+12 + 90 = 180

Combine like terms.

6x+102=180

Subtract 102 from each side.

6x+102-102=180-102

6x = 78

Divide each side by 6

6x/6 = 78/6

x = 13

Answer:

x = 13

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ The angle of right angle is 90°.

Forming the equation,

→ (x + 12)° + (5x)° = 90°

Then the value of x will be,

→ (x + 12)° + (5x)° = 90°

→ x + 12 + 5x = 90

→ (x + 5x) + 12 = 90

→ 6x + 12 = 90

→ 6x = 90 - 12

→ 6x = 78

→ x = 78 ÷ 6

→ [ x = 13 ]

Hence, the value of x is 13.

Mallory's Border Collie had 13 puppies in 2 litters. Determine the rate for a ratio of the two different quantities.

A: 2 over 13 puppies per litter

B: 13 over 15 puppies per litter

C: 2 over 1 puppies per litter

D: 13 over 2 puppies per litter

Answers

None of the given options match this result, so the answer is none of the above.

What is ratio ?

A ratio is a quantitative comparison of two or more quantities or values, expressed as the quotient of one divided by the other. It is usually represented in the form of a fraction, using a colon, or by the word "to". For example, if there are 6 boys and 4 girls in a class, the ratio of boys to girls can be represented as 6:4, or 6/4, or 6 to 4. Ratios are often used to compare the relative sizes or amounts of two or more things, such as ingredients in a recipe, parts in a machine, or components in a financial statement.

The rate for a ratio of the two different quantities is the number of one quantity for each unit of the other quantity. In this case, the rate is the number of puppies per litter.

Mallory had 13 puppies in 2 litters, so the rate is:

13 puppies / 2 litters = 6.5 puppies per litter

None of the given options match this result, so the answer is none of the above.

Therefore, none of the given options match this result, so the answer is none of the above.

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A rough estimate at 95% confidence level of the relationship
between sample size n and margin of error can be
1
determined using Margin of Error (decimal)
√n
In a recent survey, 41% of the subjects felt that they were
paying too much for car insurance. If the margin of error of this
survey was estimated at 7.1%, what was the size of the sample?
people
=

Answers

The sample size for the confidence interval is given as follows:

n = 185.

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The margin of error is given as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The parameters for this problem are given as follows:

[tex]M = 0.071, \pi = 0.41[/tex]

Hence the sample size is obtained as follows:

[tex]0.071 = 1.96\sqrt{\frac{0.41(0.59)}{n}}[/tex]

[tex]0.071\sqrt{n} = 1.96\sqrt{0.41 \times 0.59}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.41 \times 0.59}}{0.071}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.41 \times 0.59}}{0.071}\right)^2[/tex]

n = 185.

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A density curve showing the fuel efficiency of cars is shown.
Which values are the possible measures of center for this density curve? Check all that apply.

answer:
u=30 mpg
median=28 mpg

Answers

The possible values of the density curves is mean μ = 30 mpg and the median = 28 mpg

What is the probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

The mean of probability distribution is also known as expected value. It is denoted by E ( X ). E(X), or mean μ of a discrete random variable X is calculated by multiplying each value of the random variable by its probability and taking the sum of the values.

Given data ,

Let the probability distribution be represented as P

Now , the value of P from the figure is

The balancing point at which a density curve would be in equilibrium if it were formed of solid material is represented by the curve's mean.

A symmetric density curve has the same median and mean.

So , the mean of the probability density curve is μ = 30 mpg

And , the median of the probability density curve lies between 25 and 30

where median = 28 mpg

Hence , the mean and median of the density curve is solved

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The complete question is attached below.

A density curve showing the fuel efficiency of cars is shown.

Which values are the possible measures of center for this density curve? Check all that apply.

Answer:

A and D

Step-by-step explanation:

e2020

Consider the equation y^2+24= - 11y. What is the positive value of the square root of the product of the roots?

Answers

Therefore , the solution of the given problem of equation comes out to be the  2 * √6 is the positive value of the square root of the sum of the roots.

How do equations work?

Mathematical formulas frequently use the same variable letter to try to impose uniformity between two claims. Many academic numbers are shown to be equal using mathematical expression, also known as assertions. The normalise divides 12 and b + 6 into two parts using the result y + 6 = 12 as an illustration. It is possible to determine the connection between each sign component and the number of lines. The significance of a symbol usually contradicts itself.

Here,

By modifying the equation y2 + 24 = -11y, we can first convert it to standard quadratic form:

=> y^2 + 11y + 24 = 0

Using the quadratic formula, we can now determine the quadratic's roots:

=> y = (-11 ± √11^2 - 4(1)(24)))/(2(1))

=>   ( -11 ± √(121 - 96))/2

=>  (-11 ± √(25))/2

Thus, y = -8 and y = -3 are the solutions.

What the roots produce is:

(-8) * (-3) = 24

Additionally, the product's square root's positive number is:

=> √(24) = 2 * √(6)

In light of this, 2 * √6 is the positive value of the square root of the sum of the roots.

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