please help me :(((((

Since, Four distinct fair coins are tossed. if it is known that at least one of the coins shows a head . The probability that all coins show heads is 3/4.

Probability:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. In an experiment with 'n' outcomes, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is:

  Probability (Event) = Favorable Outcome / Total Outcome = x/n

The probability of an event can be calculated using the probability formula by simply dividing the number of favorable outcomes by the total number of possible outcomes. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative.

Given that:

Four District fair coins are tossed.

So, possible outcomes are

    HH,HT,TH,TT

We know that:

Probability= total possible outcomes / favorable outcomes

Now,

​Favorable outcomes = HH,HT,TH

And,

Probability = 3/4

Therefore, ​the probability that all coins show heads is 3/4.

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Answer:

Step-by-step explanation:

Divide 138 by 12.

The answer would be 11.5.

Lets leave the 0.5 right now.

So, there would be 11 teams left and the other people left will be in the small group.

Now, multiply 12 by 11. You get 132. Subtract that from 138 and you get the remainder which is 6.

Hence, the number of people in the small group would be 6.

Thanks

Answer:

11 teams & 6 people in the small group

Step-by-step explanation:

138 = 11.5

12

So we can take it as 11 teams

12 × 11 = 132

138 -132 = 6

Therefore remaining people are added to small group

Kathy can make 10 headbands from 3/4 of a yard of fabrics.

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The unit rate is the ratio of two different units. The unit rate must always have a denominator equal to 1.

Kathy has 3/4 of a yard of fabric. She needs 3/10 of a yard to make a 4 headband.

Hence:

3/10 yards = 4 head band

For 3/4 yard:

number of headbands = 3/4 yard * 4 headband per 3/10 yard = 3/4 * 4 / (3/10) = 3/4 * 4 * 10/3 = 10

Kathy can make 10 headbands

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If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

A 3-regular graph is called a cubic graph. A strongly regular graph is a regular graph where every adjacent pair of vertices has an equal number of neighbors in common, and every non-adjacent pair of vertices has an equal number of neighbors in common.

In the mathematical field of graph postulate, a cubic graph is a graph in which all vertices have a degree of three. In other terms, a cubic graph is a 3-regular graph. Cubic graphs are also known as trivalent graphs.

A bicubic graph is called a cubic bipartite graph.

In graph theory, a regular graph is a graph where each vertex has an equal number of neighbors; i.e. every vertex has an equal degree or valency.

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The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

Any model that meets the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both y and x are distinct factors, the preceding sentence is commonly referred as a "mathematical model with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations, all of which end in zero.

Here,

It is given that:

Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up

Let x be the number of visits.

The linear equation can be framed as follows:

70 + 9.5x = 184

9.5x = 184 - 70

After solving the above linear equation in one variable:

9.5x = 114

x  = 12

Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.

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Answer:

0.75 is less than 1, so the portrait will be smaller than the actual head.

Step-by-step explanation:

The art teacher has said that the portrait will be 0.75 times as tall as the actual head.

0.75 is less than 1, so the portrait will be smaller than the actual head.

A ratio of 0.75 means that the portrait will be 3/4 the size of the actual head. So, if the actual head is 8 inches tall, the portrait will be 6 inches tall (8*0.75 = 6). Therefore, the portrait will be smaller than the actual head.

98 degrees is approximately equal to 5.48 radians.

How to convert degree measure to radian measure?

To convert a degree measure to a radian measure, you can use the conversion factor of 180/π.

98 degrees is equal to (98*π)/180 radians

So, 98 degrees is approximately equal to 5.48 radians.

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keep the highest averaging do no harm imagine that your instructor chose to use the do no harm scoring method in grade it now mode. so My final score is 5/10

What is Mode?

In statistics, the value that consistently appears in a particular set is referred to as the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.

For a limited number of observations, the mode is simple to find. There could be one mode, several modes, or none at all for a given collection of values.

When we use highest scoring method in Mode, we keep the Highest will give the highest score if the scores are different.

So that the final score is 5/10

because average of 2/10+3/10+10/10  /3= 5/10

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Solve for x values that satisfy a quadratic inequality to write interval notation. This usually involves factoring the quadratic and putting it equal to zero, then utilizing the inequality sign to select viable solutions. After finding the answers, write (a,b) to indicate the interval of x-values that make the inequality true. The interval notation for -3 and 5 is (-3,5).

Generally, Before you can create an interval notation for a quadratic inequality, you must first solve for the values of x that are compatible with the inequality being satisfied. In most cases, this will require factoring the quadratic expression and fixing it so that it equals zero.

After that, the sign of inequality will be used to decide which solutions are appropriate. After you have determined the solutions, you may indicate the range of x-values that cause the inequality to hold using the notation (a,b), where a and b stand for the solutions, respectively.

As an illustration, the interval notation would look like this if the answers were -3 and 5. (-3,5).

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2 congruent triangle can be drawn using any three of these six points as vertices.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape represented by three non-collinear points in a single plane.

Hence, 2 congruent triangle can be drawn using any three of these six points as vertices.

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Answer:

Angle 1 = 34°

Angle 2 = 56°

Step-by-step explanation:

To solve, recall that a right angle equals 90°, then write an equation using the given information equalling 90°.  For this problem, let the second angle equal x.  So,

[tex]x+(\frac{1}{2}x+6)=90\\\frac{3}{2}x+6=90\\\frac{3}{2}x=84\\3x=168\\x=56[/tex]

The angle measure of the second angle is 56°.  To find the angle measure of the first angle, subtract 56° from the given 90°.  The first angle measure is 34°.  To check:

[tex]34=(\frac{1}{2})(56)+6\\34=28+6\\34=34[/tex]

The derived angle measures are correct.

4, 5 and 6 are quantitative variable

given that

When you collect quantitative data, the numbers you record represent real amounts that can be added, subtracted, divided, etc. There are two types of quantitative variables: discrete and continuous.

When you graph or plot statistical data, make sure you have quantitative data of known units. If you don’t have known units, then you won’t be able to graph it.

Variables whose values result from counting or measuring something.

Examples: height, weight, time in the 100 yard dash, number of items sold to a shopper

answer choices

1. Type of cone

2.Chocolate dipped: yes / no

3.Sprinkles: yes / no

4.Cost of chocolate dip

5.Cost of sprinkles

6.Cost of one cone

4, 5 and 6 are quantitative variable

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From the above given options by using app is more accurate and reliable so option b is correct

The question is incomplete the options are not given the options are:

a. Marcus should ask each of his classmates to write down on a piece of paper how many hours of sleep they get per night and hand the paper to him.

b. Marcus should have them download an app that tracks their phone geolocation and activity so he can see when their phones are in their rooms and not being used. From this data he can figure out how long each student sleeps.

given that

Marcus wants to learn about the sleeping habits of students in his class.

Marcus wants to collect data from his classmates to learn how many hours of sleep his classmates get.

He then wants to process this data with a computer and visualize it in a Histogram

survey can be done in different ways:

1. by asking question

2. survey

3. observation

From the above given options by using app is more accurate and reliable so option b is correct

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The required number corn plants are on the farm are 21.

metre stick counting techniques. Count the seedlings for each metre of the row using a metre stick. To calculate plants per square metre, multiply that amount by 100, then divide it by the seed spacing in centimeters.

Let the number of rows be x.

the number of corn plants = x - 4

So,

x(x - 4) = 525

x^2 - 4x - 525 = 0

On solving the above quadratic equation, we get

x = 25, x = -21

Thus, number of corn plants in the row are 52 - 4 = 21

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The average thickness of a page in the book= is 0.00393cm

determining the thickness of a page

One page has a thickness of 0.12 mm. Therefore, it's easy; all you have to do is add up the pages and divide that number by two. Then double that result by a page's thickness.

A book has 764 pages in total, including the final page.

3.0 cm is how thick the book is.

Divide across 764 to find the thickness of a page from the book: 3.0/764 = 0.003926701

which is roughly equal to 0.00393 cm

Consequently, 0.00393 cm is the average thickness of a book page.

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Answer:

y equals to 4x + 3

subtract 3 on both side

4 - 3 equals to 4x + 3 - 3

divide the equation by 4 on both sides

y-3/4 = 4x/4

X = y-3/4

Answer:

Step-by-step explanation:

The formula for the sum of a geometric sequence is: S = a(1 - r^n) / (1 - r)

In this case, our a = -8, r = -3, and n = 10.

S = -8(1 - (-3)^10) / (1 - (-3))

S = -8(1 - (-59049)) / 4

S = -8(59049) / 4

S = -2362196

Answer:

6.25%

Step-by-step explanation:

17 - 16/16 x 100% = 6.25%

Answer:

90

Step-by-step explanation:

The symbol represented in the angle is the right angle symbol ∟

This means that the angle would be 90

Have a lovely day :)

Answer:

There's no m so I'm assuming you meant b.

The angle of b is 121

Step-by-step explanation:

The shape here is a heptagon. The formula for calculating the sum of interior angles is ( n − 2 ) × 180. *n represents the number of sides.

(7-2) × 180               There are 7 sides so plug that in.

(5) × 180 = 900       This means the shape's interior angles add up to 900.

Now, all we have to do is add up all the sides known and set it equal to 900.

c + d + e + f + g + a = 900

148 + 90 + 142 + 130 + 139 + 130 + b = 900

779 + b = 900              

now subtract 779 from both sides to isolate b.

b = 121

The confidence interval's upper and lower bounds, respectively, are 0.117 for the higher and 0.083 for the lower.

The interaction between two or much more quantities is the focus of the branch of mathematics known as ratio and proportion. A key component of GCSE mathematics, ratio and proportion comprehension has connections to several subjects in number, algebra, geometry, probability, and statistics. An equilibrium for two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.

[tex]\begin{aligned}\bar{p} & =\frac{x}{n}=\frac{120}{1200}=0.10 \\\frac{\alpha}{2} & =\frac{1-\text { Confidence } \%}{2}=\frac{1-0.95}{2}=0.025 \\z_{1-\alpha / 2} & =z_{0.975}=1.960 \Rightarrow \text { Use the Excel formula "=NORMSINV(0.975)" }\end{aligned}[/tex]

[tex]S . E .=z_{1-\alpha / 2} \sqrt{\frac{\bar{p}(1-\bar{p})}{n}}=1.960 \sqrt{\frac{0.1(1-0.1)}{1200}}=0.017[/tex]

The confidence interval's top bound: [tex]\bar{p}[/tex] + S.E = 0.10 + 0.017 = 0.117

The confidence interval's lowest bound: [tex]\bar{p}[/tex] - S.E. = 0.10 - 0.017 = 0.083

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The fraction of the books are hardback is 4 / 11.

In Mathematics, a fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster.

from given conditions, a boy ha 35 paperback book and 20 hardback book.

so, the total books are 35 paperback book + 20 hardback book = 55 books

fraction of books which are hardback book are,

20 / 55

= 4 / 11

Therefore, the fraction of the books are hardback is 4 / 11.

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Which of the following is untrue: the extreme value theorem, mean value theorem, or intermediate value theorem? All three of the calculus-related theorems—Intermediate Value Theorem, Mean Value Theorem, and Extreme Value Theorem—are valid.

According to the intermediate value theorem, a continuous function must take on the value "c" at some point in the interval if it is defined on a closed interval and the value "c" is between the function's minimum and maximum values.

According to the Mean Value Theorem, if a function can be differentiated on an open interval, then at least one point in the interval has a derivative equal to the function's average slope.

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Complete Question is: Which of the following is false according to calculus: the extreme value theorem, mean value theorem, or intermediate value theorem?

Answer:

x² + (y + 5)² = 61

Step-by-step explanation:

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b ) are the coordinates of the centre and r is the radius

here (a, b ) = (0, - 5 ) and r has to be found

(x - 0)² + (y - (- 5) )² = r² , that is

x² + (y + 5)² = r²

the radius is the distance from the centre to a point on the circle.

using the distance formula to find r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, - 5 ) and (x₂, y₂ ) = (- [tex]\sqrt{60}[/tex] , - 6 )

r = [tex]\sqrt{(-\sqrt{60}-0)^2+(-6-(-5))^2 }[/tex]

 = [tex]\sqrt{(-\sqrt{60})^2+(-1)^2 }[/tex]

  = [tex]\sqrt{60+1}[/tex]

  = [tex]\sqrt{61}[/tex]

then r² = ( [tex]\sqrt{61}[/tex] )² = 61

the equation of the circle is then

x² + (y + 5)² = 61

Answer:

270 donuts

Step-by-step explanation:

We need to find the number of donuts they make per hour. To find that, take the known number of donuts divided by the known number of hours.

150/10=15, so 15 donuts per hour.

Now, we multiply 18x15 and find they will have made 270 donuts.

The probability that a junior bio major who has taken statistics has also taken a computer course is 13.46%.

We are trying to find the probability that a junior bio major who has taken a statistics course has also taken a computer course. This is referred to as the conditional probability, denoted as P(computer | statistics).

To calculate this, we can use the formula:

P(computer | statistics) = P(computer and statistics) / P(statistics)

This formula states that the probability of a junior bio major taking a computer course given that they have taken a statistics course is equal to the probability of them taking both a computer and statistics course divided by the probability of them taking only a statistics course.

The information given in the problem is as follows:

P(statistics) = 52%

P(computer) = 23%

P(computer and statistics) = 7%

So we can plug these values into the formula to calculate the conditional probability:

P(computer | statistics) = P(computer and statistics) / P(statistics) = 7% / 52% = 0.1346153846153846 or 13.46%

Therefore, the probability that a junior bio major who has taken statistics has also taken a computer course is 13.46%.

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The complete Question is:

A university requires its biology majors to take a course called BioRe search. The prerequisite for this course is that students must have taken either a Statistics course or a computer course. By the time they are juniors, 52% of the Biology majors have taken Statistics, 23% have had a computer course , and 7% have done both. What's the probability that a junior bio major who has taken statistics has also taken a computer course?

Step-by-step explanation:

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