A trapezoid has an area of 196 square yards. Its bases are 21 and 28 yards. 3 points
Find its height. *
4 yards
7 yards
8 yards
9 yards
14 yards
18 yards

Step-by-step explanation:

The factorization of 92

= 2 × 2 × 23

The factorization of 162

= 2 × 3 × 3 × 3 × 3

Now ,

Common factor = 2

As we know ,

HCF = CF

HCF = 2

hence...The HCF of 92 and 162 is 2...

\(...\)

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1500p

Step-by-step explanation:

The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:

4 * 3 = 12

From these 12 possible pair of values, the ones that give a sum of 7 are:

(6,1), (4,3) and (2,5).

We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%

To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:

120 * (0.25 * (-10) + 0.75 * (20)) = 1500p

\(\dag\large{\red{\underline{\underline{\sf{Thermodynamics:-}}}}}\)

\(\dashrightarrow\) \(\textsf{It is the study of the flow of physical}\) \(\textsf{and chemical quantities (such}\)\(\textsf{as momentum, heat, fluid and chemical}\)\(\textsf{ components) through or within a system}\)\(\textsf{driven by thermodynamic forces.}\)

Step-by-step explanation:

The mathematical theory of thermodynamic systems focuses on one such system,

A thermodynamic system, and describes geometrically the set of equilibrium states it can have.

The allowed modes of interaction with the surroundings define the equilibrium.

Descriptive statistics techniques, such as calculating the median, standard deviation, and correlation coefficient, are used to summarize and describe data that is option D.

Descriptive statistics involves techniques used to describe and summarize data. This includes various measures and techniques such as:

A. Median: The median is a measure of central tendency that represents the middle value of a dataset when it is arranged in ascending or descending order. It is used to describe the typical or central value in a dataset.

B. Standard deviation: The standard deviation is a measure of dispersion or variability in a dataset. It quantifies the average amount by which data points deviate from the mean. It is used to describe the spread or variability of the data.

C. Correlation coefficient: The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where a value of -1 indicates a perfect negative linear relationship, a value of +1 indicates a perfect positive linear relationship, and a value of 0 indicates no linear relationship. It is used to describe the association between variables.

All of these techniques are commonly used in descriptive statistics to provide meaningful summaries and descriptions of data.

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Answer:

Step-by-step explanation:

dddfykb

a = -14

-14+28= 14

14 x 2 = 28

1/2 of -28 --> -14

This means a equals -14.

Esto significa A=-14

(sorry my spanish is not good, hope this helps)

The approximation for f(1.4) using Euler's method with two steps of equal size is -0.632.

Euler's method is a numerical method for approximating the solutions to differential equations. It works by approximating the derivative at each step and using it to estimate the next value of the function.

In this case, we are given the differential equation dy/dx = x-y-1 and the initial condition f(1)=-2. We want to find an approximation for f(1.4) using Euler's method with two steps of equal size, starting at x=1.

To use Euler's method, we first need to determine the step size, which is the distance between x-values at each step. Since we have two steps of equal size, the step size is (1.4-1)/2 = 0.2.

Next, we use the initial condition to find the first approximation:

f(1.2) ≈ f(1) + f'(1)*0.2

= -2 + (1 - (-2) - 1)*0.2

= -1.2

Now, we can use this approximation to find the second approximation:

f(1.4) ≈ f(1.2) + f'(1.2)*0.2

= -1.2 + (1.2 - (-1.2) - 1)*0.2

= -0.632

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Step-by-step explanation:

Hey, there!!

Let me explain you very simply, ok.

Here, according to the question,

\({x}^{2} = \frac{25}{144} \)

X is square so, which finding the value of x you must take it to the right side (in root form ). so,

\(x = \sqrt{ \frac{25}{144} } \)

Now, as we know that,

sq.root of 25 = 5

sq.root of 144 = 12

Now, you write it as,

\(x = \sqrt{ \frac{ {5}^{2} }{ {12}^{2} } } \)

\(or \: x = \sqrt{( { \frac{5}{12} )}^{2} } \)

Now, square root and (5/12) square ( square root , square gets cancelled).

You will get as,

\(x = \frac{5}{12} \)

And its your simplified answer.

Hope it helps...

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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Answer:

Step-by-step explanation:

Given expression:

Solving for p:

Answer:

Step-by-step explanation:

here you go mate

step 1

- 10p + 3(8 + 8p) = -6(p - 4)  equation

step 2

- 10p + 3(8 + 8p) = -6(p - 4)  simplify by distributing

14p+24=-6p+24

step 3

14p+24=-6p+24  subtract 24 from each sides

20p=0

step 4

20p/20=0/20  divide both sides by 20

answer

p=0

The most effective graphical representation of the above data would be a histogram.

A histogram is a graphic representation of the distribution of numerical data. In this case, data on the carbohydrate content of ten different tortilla sandwich wraps is acquired. The best option is a histogram because the data is numerical.

For categorical data, which is broken up into several categories and displayed as a fraction or percentage of the whole, a circle chart, also known as a pie chart, is the best option. The information offered is numerical rather than categorical, though.

Each individual data point is shown as a dot on a number line in a dot plot, also called a line plot. It may not be suitable for larger quantities of data, although being advantageous for an.

Numerical data can be arranged and displayed using a stem-and-leaf plot. For just ten data points, it might not be the ideal depiction, though.

Therefore, the most appropriate graphical representation for the provided data would be a histogram.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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Answer:

s = 6

Step-by-step explanation:

It's equal to the other leg, since it's an equilateral triangle, where two angles are 45°

Answered by GAUTHMATH

The length of s is 6 units.

The correct option is C.

An isosceles triangle is one that has two sides that are the same length and two angles that are the same size.

In an isosceles right triangle, the length of the hypotenuse is equal to the product of the square root of 2 and the length of either leg. So, we have:

√(72) = s x √(2)

Simplifying this, we get:

s = √(72) / √(2)

Rationalizing the denominator, we get:

s = √(72/2)

s = √(36)

s = 6

Therefore, the length of the other leg of the isosceles triangle is 6.

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Answer:

So, I solved it and I got this:

Simplify the expression.

24 x^ 4

Step-by-step explanation:

hope this helps! have a great day!

cos B = \(\frac{BC}{BD}\) \(=\frac{4}{8}\) \(=\frac{1}{2}\)   c = [a2 + b2 - 2ab cos C] is the cosine formula used to determine the side of the triangle. a, b, and c are indeed the triangle's three sides. is that response accurate.

How do you calculate sin and cos B?

Formula: Sin (a,b) Cos

Sin a cos b = (1/2)[sin(a + b) + sin(a - b)] is the formula for sin a cos b. Whenever the composite angles (a + b) and (a - b) are available, as well as the quantities of degrees a and b, following equation for sin a cos b may be used.

How does the cosine rule work?

Every triangle that you would like to connect all 3 components to a single angle can benefit from the cosine rule. Knowing the other 2 aspects and indeed the opposing angle are necessary to determine the lengths of a side. It's edge a that you're looking for.

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Answer:

a. To find the equation h(t) after t years, we need to integrate the given growth rate dh/dt = 1.5t + 5 with respect to t. This gives us:

h(t) = ∫(1.5t + 5) dt = (1.5/2)t^2 + 5t + C = 0.75t^2 + 5t + C

where C is the constant of integration. We can find the value of C using the initial condition that the seedlings are 12 cm tall when planted (i.e., when t = 0). Substituting these values into the equation above, we get:

h(0) = 0.75(0)^2 + 5(0) + C = 12 C = 12

So, the equation for the height of the shrub after t years is:

h(t) = 0.75t^2 + 5t + 12

b. To find out how tall the shrubs are when they are sold, we need to evaluate h(t) at t = 6, since the shrubs are sold after 6 years of growth and shaping:

h(6) = 0.75(6)^2 + 5(6) + 12 = 27 + 30 + 12 = 69

So, the shrubs are 69 cm tall when they are sold.

Step-by-step explanation:

There are in total 256 ways to distribute the four bracelets among the four people if each person can receive any number (including 0) of bracelets.

Since there are 4 bracelets and 4 people, the number of combinations can be calculated by the formula:

nk, where, n  = number of people (4), k = number of bracelets (4)

Therefore, Total number of combinations = 4^4 = 256

Hence, there are in total 256 ways possible to distribute the four bracelets among the four people if each person can receive any number (including 0) of bracelets.

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Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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The median cost of the different types of items that D'Marion purchased for the beach trip is $11.

To find the median, we first need to arrange the costs in ascending order: $9, $9, $11, $18, $22. Since there are five items, the middle item represents the median. In this case, the middle item is $11. The median cost of the items purchased by D'Marion is therefore $11.

The median is a measure of central tendency that represents the middle value in a set of data when arranged in ascending or descending order. It is particularly useful when dealing with skewed data or outliers, as it is less affected by extreme values compared to the mean. In this scenario, D'Marion spent different amounts on sunscreen, beach towels, food, a first aid kit, and sand toys. By arranging the costs in ascending order, we can see that $11 falls right in the middle of the list, making it the median cost. This means that half of the costs are below $11, and the other half are above it.

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y = 2x² - 16x - 32 is the quadratic function of function passes through the points (-2,0), (4,0), and (0,-32).

y=ax²+bx+c is called as Quadratic function

y=ax²+bx+c

The three points are (-2,0), (4,0), and (0,-32)

Let,

(-2,0) in equation

0=a(-2)²+b(-2)+c

0=-2b+c...(1)

(4,0)

0=a(4)²+b(4)+c

0=16a+4b+c..(2)

(0,-32)

-32=a(0)²+b(0)+c

c=-32...(3)

Hence put c value in (1)

0=-2b-32

2b=-32

b=-16

Now put b and c value in 2

0=16(a)+4(-16)+32

0=16a-64+32

0=16a-32

a=2

Hence y = 2x² - 16x - 32 is the quadratic function of function passes through the points (-2,0), (4,0), and (0,-32).

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Answer:

Median 1.5

Step-by-step explanation:

Answer:

Median is the most appropriate and the value is 1.5

Step-by-step explanation:

Answer:

3π

Step-by-step explanation:

540° = 360° x 1 + 180°

= 2π + π

= 3π

CMIIW

Answer:

Fact

Step-by-step explanation:

A Fact is a statement that has been proved :)

The most appropriate answer is: "O probably overstate the percentage of people who think the defendant is guilty because of the question's wording."

What is Wording bias?

Wording bias refers to a situation where the specific wording or phrasing of a question in a survey or interview influences the respondent's answer in a way that deviates from their true opinion or belief. It occurs when the choice of words, tone, or context of a question introduces a bias that may lead respondents to provide responses that do not accurately reflect their true thoughts or feelings.

The reason "O probably overstate the percentage of people who think the defendant is guilty because of the question's wording" is the most appropriate answer is as follows:

The wording of the question may introduce bias or influence respondents' answers. In this case, the question asks, "In light of all the evidence against the defendant, do you think he/she is guilty?" The phrase "in light of all the evidence against the defendant" may create a biased or suggestive context that leans towards a guilty verdict.

As a result, respondents may be more likely to answer "yes" based on the framing of the question, potentially inflating the percentage of people who think the defendant is guilty. Therefore, the survey results might overstate the true proportion of individuals who believe the defendant is guilty due to the potential bias introduced by the question's wording.

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a. Jump with a bobbing motion: Shortest jump  b. Jump from deep knee flexion: Intermediate jump

c. Jump with fully extended knees: Longest jump ,In the long jump activity, three different jumping techniques were observed:

a) The bobbing motion involved bending and extending the knees and arms during the jump.

b) Starting from deep knee flexion meant initiating the jump from a position with knees bent and no motion prior to the jump.

c) Starting with fully extended knees involved jumping with the knees straight and no motion before the jump. During the performance, the lengths of each jump were measured. Trial results consistently indicated that the jump with the bobbing motion had the shortest length, while the jump starting from deep knee flexion had an intermediate length. The jump with fully extended knees consistently achieved the longest distance.

The observations reveal that starting the jump with fully extended knees and no knee motion results in the longest jump. The bobbing motion with knee and arm movements leads to the shortest jump. Deep knee flexion position falls between the two in terms of jump length.

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Answer:

3 7/8 > 3 5/6

Step-by-step explanation:

i have same question but on edge i tested see if the other answer was right and it was good job and good luck :p

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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