Describe the differences between angles in right triangles and angles of rotation.

In this case, you have 3 B's, 2 A's and 3 C's, so the total amount of cases are 3+3+2=8. If only one of these cases was an A, then the probability would be 1/8, but you have 2 A's, so the probability is 2/8. This in percentage is found by 100*2/8=25%

A total of 21 handshakes, will occur when seven persons in a group shake hands with each of the other six persons.

The first person shakes hands with the other 6 people. The second person shakes hands with 5 people because they already shook hands with the first person.

The third person shakes hands with 4 people because they already shook hands with the first and second person.

The fourth person shakes hands with 3 people because they already shook hands with the first, second, and third. The fifth person shakes hands with 2 people because they already shook hands with the first, second, third, and fourth person.

The sixth person shakes hands with the seventh person because the rest have already shaken hands with them. The seventh person doesn't have anyone else to shake hands with.

Add all the people who shake6+5+4+3+2+1

So the total would be 21

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Step-by-step explanation:

\( \sqrt 2, \: \sqrt 2. 6 \: \& \: \sqrt 2 + 6\) are irrational and 6 is the only rational number.

A frequency table is a simple tabular representation of the number of times a particular value or range of values appears in a data set.

It lists the values in one column and the corresponding frequencies in another column. For example, if we have data on the heights of a group of people, a frequency table could list the heights (in cm) in one column and the number of people with that height in the other column.

A frequency distribution is a graphical representation of the same information as a frequency table. It shows the number of occurrences of values in a data set by grouping the values into classes or intervals, and then plotting the frequency of each class or interval. For example, a histogram is a type of frequency distribution where the data is divided into equal-width intervals and the height of each bar represents the frequency of the data that falls within that interval.

A frequency table can be used for both qualitative and quantitative data, whereas a frequency distribution can only be used for quantitative data. This is because the classes or intervals used in a frequency distribution require a numerical representation of the data, which is not possible for qualitative data.

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Answer:

30

any more help just ask

Answer:

28

Step-by-step explanation:

You have to add 22 to 6 to get your answer. Hope this helps you!

Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4

An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.

Algebraic expression for Mat A is: 4x + 3

Algebraic expression for Mat B is: 2x + 11

We would have the following algebraic equation:

4x + 3 = 2x = 11

Solve for the value of x

4x - 2x = 11 - 3

2x = 8

x = 8/2

x = 4

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9514 1404 393

Explanation:

Any units conversion is simply multiplication by the value 1 written in a special form. That form is a fraction with the new unit in the numerator and the old unit in the denominator. The numbers in the numerator and denominator are the numbers that make the value of the fraction be 1. That is, the numerator and denominator are equal.

Here, we know that 1 mile = 1760 yards. The new unit is yards, and the old unit is miles, so the conversion fraction we want is (1760 yards)/(1 mile). Then the conversion looks like this:

  \((6.5\text{ mi})\dfrac{1760\text{ yd}}{1\text{ mi}}=(6.5\times1760)\text{ yd}=11{,}440\text{ yd}\)

You will notice that the units "mi" in numerator and denominator cancel, leaving only the units "yd".

__

The two numbers you need are ...

Answer:

just multiply the any number like 3.4 then multiply it by 1,760

Step-by-step explanation:

The equivalent expression is  -1.9b + 7.8.

There is a concept known as an analogous expression, which is an expression that has the same value as another expression but has a different appearance.

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Combine similar phrases now:

The definition of like words is the terms that have the same variable raised to the same power. Only the numerical coefficients can change in algebra.

When we combine the term b's coefficient, we get

1.3b + 7.8–3.2b

= (1.3−3.2)⋅b + 7.8

By condensing the equation, we obtain

= (- 1.9) +b + 7.8

= −1.9b + 7.8

There is a condensed equivalent formula of -1.9b + 7.8.

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Answer:

(C) \(y = 2x+5\)

Step-by-step explanation:

Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.

We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.

We can easily create an equation with this info.

\(y = 2x + 5\).

Hope this helped!

Answer:

C. y= 2x+5

Step-by-step explanation:

y=mx+b

(+b) is y- intercept

(mx) is the slope.

plot the y- intercept first which the line starts at (0,5)

since the slope isn't a fraction you turn it into one which would be

\( \frac{2}{1} \)

The required solution for the inequality of the perimeter of the rectangle is x < 2.12.

Given that,
To write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 12.24.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
2(4 + x) < 12.24
4 + x < 6.12
x < 6.12 - 4
x < 2.12

Thus, the required solution for the inequality of the perimeter of the rectangle is x < 2.12.

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Answer:

206.19cm^2

Step-by-step explanation:

area of the square=19×19

area of the square=361cm^2

area of circle= r^2×π

13.44 is the radius

13.44^2×π=567.189504= area of circle

567.189504cm^2-361cm^2=206.189504

206.189504 to nearest hundredth= 206.19cm^2

a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.

b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.

Now g(x) is a function that is an output multiple of 3 of f(x).

∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.

g(x) is {(1, 6), (3, 15), (5, 3)}.

g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).

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According to the information given in the exercise, you know that the 100% is 80.

Let be "x" the number that is the 53% of 80.

By definition, you can write 53% as a Decimal number by dividing it by 100. Then, this is:

You can write 100% as a Decimal number:

Knowing the above, you can set up the following proportion:

Now you must solve for "x":

The answer is:

The function h(x) = (f.g)(x) would be x² + 10x + 24.

What are composite functions?

A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.

To find h(x) = (f.g)(x), we need to find the composition of the functions f(x) and g(x).

The composition of two functions f(x) and g(x) is denoted by (f.g)(x) and is defined as (f.g)(x) = f(g(x)).

In this case, we have:

h(x) = (f.g)(x) = f(g(x)) = f(x + 5)

Substituting x + 5 for g(x) in the equation for f(x), we get:

h(x) = (f.g)(x) = f(x + 5) = (x + 5)² - 1

Simplifying this expression, we get:

h(x) = (f.g)(x) = x² + 10x + 24

Hence, the function h(x) = (f.g)(x) would be x² + 10x + 24.

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The 5 "Ws" that are typically included in a table to articulate and evaluate the value of a work project are Why, What, Who, When, and Where.

These 5 "Ws" provide essential information about the project and help in understanding its purpose, scope, and impact.

1. Why: This addresses the motivation and justification behind the project. It explains the problem or opportunity that the project aims to address and the reasons for undertaking it. It helps stakeholders understand the significance and relevance of the project.

2. What: This describes the objectives, deliverables, and desired outcomes of the project. It outlines the specific tasks, activities, or milestones that need to be achieved to accomplish the project's goals. It provides clarity on the project's scope and helps set expectations.

3. Who: This identifies the individuals or groups involved in the project. It includes project team members, stakeholders, sponsors, and any other relevant parties. Understanding the roles and responsibilities of different stakeholders helps in effective project management and collaboration.

4. When: This defines the project timeline and milestones. It includes the start and end dates of the project, as well as any important deadlines or key dates associated with specific deliverables or activities. It helps in tracking progress and ensuring timely completion of the project.

5. Where: This specifies the project location or the context in which it is taking place. It could be a physical location, such as a specific site or office, or it could refer to a specific department or division within an organization. Understanding the project's environment helps in planning and coordinating resources effectively.

Including these 5 "Ws" in a table provides a comprehensive overview of the project, covering its purpose, scope, stakeholders, timeline, and context. It facilitates effective communication, decision-making, and evaluation of the project's value and progress.

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Answer: 0.85 kilograms

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the 90% confidence interval for p - um is (-0.816, 2.916), which can be rounded to (-0.82, 2.92). The closest option to this interval is (c) (-5.084, 7.284).

The point estimate for the difference in mean annual return is:

a - m = 7.3 - 6.2 = 1.1

To find the margin of error for a 90% confidence interval, we use the t-distribution with 16 degrees of freedom (conservative df) and a 5% significance level (90% confidence level):

t* = 1.745

The margin of error is then:

ME = t* * sqrt[(s1^2/n1) + (s2^2/n2)]

= 1.745 * sqrt[(0.093^2/17) + (0.124^2/17)]

= 0.916

The 90% confidence interval is:

(a - m) ± ME

1.1 ± 0.916

Thus, the 90% confidence interval for p - um is (-0.816, 2.916), which can be rounded to (-0.82, 2.92). The closest option to this interval is (c) (-5.084, 7.284).

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When testing the ball bearings of a certain type, if the average diameter is found to be significantly different from 0.5 inch,

it would indicate that there may be issues with the manufacturing process or the quality of the materials used.

A lower average diameter may suggest that the bearings are being manufactured with insufficient materials or using inaccurate machinery, leading to inconsistencies in the size and shape of the bearings.

Conversely, a higher average diameter may suggest that the manufacturing process is producing bearings that are too large and may not fit properly in the intended machinery.

In either case, it would be important to investigate the cause of the discrepancy and take corrective measures to ensure that the bearings meet the required specifications.

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Answer:

20

Step-by-step explanation:

substitute 5 for 'x':

6(5) - 2(5) = 30-10 = 20

the indentation diagonal length is approximately 0.0686 units.

What is Intention Diagonal Length?

The indentation diagonal d is determined by the mean value of the two diagonals d 1 and d 2 at right angles to each other: To avoid the risk of bulging of the material on the opposite side of the sample, the thickness should not fall below a certain minimum value. value. The minimum thickness depends on the expected hardness of the material and the test load.

To calculate the indentation diagonal length using the Vickers hardness value, you need to know the applied load and the hardness number. The Vickers hardness test measures the resistance of a material to indentation using a diamond indenter.

In this case, you have the following information:

Load: 0.700 kg

Vickers HV: 650

The Vickers hardness number (HV) is defined as the applied load divided by the surface area of the indentation.

The formula to calculate the indentation diagonal length (d) is:

d = 1.854 * sqrt(L / HV)

Where:

d = indentation diagonal length

L = applied load in kg

HV = Vickers hardness number

Plugging in the values:

d = 1.854 * sqrt(0.700 / 650)

Calculating the square root and performing the division:

d ≈ 1.854 * 0.0370262

d ≈ 0.0686

Therefore, the indentation diagonal length is approximately 0.0686 units. Please note that the specific unit (e.g., millimeters) was not provided in the question, so the answer is given in relative units.

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The cake recipe calls for 1 cup of buttermilk. 1 cup is equivalent to approximately 8 fluid ounces or 240 milliliters of buttermilk.

In baking, measurements are typically given in terms of cups, tablespoons, or teaspoons. When a recipe calls for "1 cup" of buttermilk, it means that you need to use one standard measuring cup to measure out the buttermilk. A standard measuring cup holds approximately 8 fluid ounces or 240 milliliters. Therefore, in the context of the cake recipe, "1 cup" of buttermilk refers to 8 fluid ounces or 240 milliliters of buttermilk.

Buttermilk is a slightly thick and tangy dairy product that is commonly used in baking. It adds moisture and acidity to recipes, resulting in a tender and flavorful baked good. When measuring buttermilk for a recipe, it's important to use the correct amount to achieve the desired texture and taste. So, in this particular recipe, you would need to use one standard measuring cup filled with buttermilk, which is equivalent to 8 fluid ounces or 240 milliliters.

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Answer:

15 feet

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Based on the graph, we know that it is increasing if it is going up from left to right.

A: incorrect

Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.

B: correct

Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.

Therefore, B is the correct answer.

Answer:

236

Step-by-step explanation:

Answer:

who ever gave you that needs help

Step-by-step explanation:

The median is 18.5, and it represents the typical age of the runners.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given ages of 12 runners in a recent marathon are listed.

35, 17, 34, 14, 28, 20, 18, 15, 14, 19, 17, 31

Let us arrange the numbers in ascending order

14, 14, 15, 17, 17, 18, 19, 20, 28, 31, 34, 35

The middle most terms are 18 and 19

18+19/2

37/2

18.5

Hence, the median is 18.5, and it represents the typical age of the runners.

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Step-by-step explanation:

just think about the basic formulas for area and perimeter of rectangles, and what pieces of information we already have directly.

area = length × width

perimeter = 2×length + 2×width = 136 m

=> length + width = 68 m

then we know

length = 2×width + 8

this we use as substitute in the simplified perimeter equation :

2×width + 8 + width = 68

3×width + 8 = 68

3×width = 60

width = 20 m

and therefore

length = 2×width + 8 = 2×20 + 8 = 40+8 = 48 m

and now we can calculate the area :

area = length×width = 48×20 = 960 m²

please consider that for a length or distance we use m (or other length units), for and area then m². for a volume then m³. as a basic unit for an area is a square. and for a volume a cube.

If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.

In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).

For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.

General Properties of Probability Distributions

Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is

X usually represents a random variable.

Tilde (~) indicates follow distribution.

Upper case indicates distribution. B. N for normal distribution.

Bracket contains the parameters of the distribution.

For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).

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No, as the confidence intervals for the two groups overlap.

From the given data,

The poll has an error of 34% of the people say they will vote for Bugs Bunny

⇒(34 ± 6)% ≈ 28% to 40%

⇒26% say they will vote for Baby Shark.

The confidence interval for the percentage of people supporting Baby Shark is

⇒(26 ± 6)% ≈ 20% to 32%

No, it is not possible to say with certainty that more people in the population support Bugs Bunny over Baby Shark based on this poll.

Since the confidence intervals for the two groups overlap , we cannot  say that in population, more people clearly support Bugs Bunny over Baby Shark.

Hence, the correct answer is: no, as the confidence intervals for the two groups overlap.

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