A score is a group of 20 things. For example, a period of 20 years is called a score of years. The Statue of Liberty was dedicated in 1886. About how many scores of years ago was that (I'm giving out brainliest)

It is more meaningful to compare relative frequencies when analyzing data described by a two-way table.

The correct answer is A. It is more meaningful to compare relative frequencies because relative frequencies allow meaningful comparison of categories of individuals even if more individuals in some categories were included in the study than individuals in other categories.

Comparing frequencies alone may not provide a fair comparison when the number of individuals in different categories is not equal. Frequencies are affected by the sample size of each category, and if one category has a significantly larger sample size than others, it may dominate the overall frequency count. This can lead to misleading interpretations and biased comparisons.

On the other hand, relative frequencies, which are proportions or percentages calculated by dividing the frequency of each category by the total frequency, provide a normalized measure that accounts for differences in sample sizes. Relative frequencies allow for meaningful comparisons between categories, enabling researchers to identify patterns, associations, or differences in proportions accurately.

By comparing relative frequencies, we can focus on the distribution and proportions within each category, allowing for a more comprehensive and equitable analysis of the data

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Therefore, the weight of the heavier package is 4 pounds, and the weight of the lighter package is (3/4)x4 = 3 pounds.

To solve this problem, we need to use an equation to represent the relationship between the weight of the two packages. Let's let x be the weight of the heavier package in pounds. Then, since the lighter package weighs 3/4 as much as the heavier package, its weight can be represented as (3/4)x.
Now, we know that the total weight of the packages is 7 pounds. So, we can set up the equation:
x + (3/4)x = 7
To solve for x, we can combine like terms:
(7/4)x = 7
Then, we can isolate x by multiplying both sides by 4/7:
x = 4
In conclusion, the weights of the two packages are 4 pounds and 3 pounds, respectively. The equation we used to solve for these weights was x + (3/4)x = 7. This equation had to be solved by combining like terms and isolating x.

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The individual counted a higher ratio of cars to trucks  at the second rest stop, since 17/22 was larger than 3/4.

At the first rest stop, the ratio of cars to trucks was 15:20 or 3:4. At the second rest stop, the ratio of cars to trucks was 17:22 or 17/22. Since 17/22 is larger than 3/4, the individual counted a higher ratio of cars to trucks at the second rest stop. To illustrate this using formulas, we can divide the number of cars by the number of trucks at each rest stop. This gives us 15/20 = 0.75 for the first rest stop and 17/22 = 0.77 for the second rest stop. Since 0.77 is greater than 0.75, the individual counted a higher ratio of cars to trucks at the second rest stop.

At the second rest stop, the individual counted a higher ratio of cars to trucks.The individual counted a higher ratio of cars to trucks  at the second rest stop, since 17/22 was larger than 3/4.

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Answer:

28 miles

Step-by-step explanation:

12:3

7:x

12÷3=4

4 miles per hour

7•4=28

As a result, the statements regarding the function f(x) =\(x^{2} -36\) are all correct.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The formula f(x) = \(x^{2} -36\) can be used to support a number of claims.

Because the function is cubic, its graph is a parabola.

The curve rises because the x2 term's coefficient is positive.

The graph crosses the y-axis at y = -36 because the constant factor is equal to -36.

Setting f(x) = 0 and figuring out the value of x will reveal the function's roots:

\(x^{2} -36\\x^{2} = 36\)

x = ±6

Consequently, x = -6 and x = 6 are the function's bases.

Filling in the rectangle will reveal the vertex of the parabola:

f(x) =\(x^{2} -36\)

= (\(x^{2}\) - 36 + 81) - 81

= \((x-9)^{2}\) - 81

Therefore, the parabola's apex is (-9, -81).

The function is symmetric about the vertical line that passes through its apex.

Since the function's minimum value is -81 and its maximum value rises without limit as x approaches infinity in either direction, the range of the function is all real numbers greater than or equal to -36.

Consequently, the function f(x) = \(x^{2} -36\) fulfills all of the aforementioned criteria.

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Answer:

x=4

Step-by-step explanation:

Hey There!

So if DE is the midsegment then to find x you divide the length of AE by 2

8/2=4

Therefore x=4

To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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Answer:

x = 67

Step-by-step explanation:

∠ CRQ = ∠ BQR = 113° ( Alternate angles )

∠ CRQ and ∠ CRS are adjacent angles and supplementary, that is

x + 113 = 180 ( subtract 113 from both sides )

x = 67

Answer:

10 gallons were poured out

Step-by-step explanation:

2/3's of the 15 gallons of water is 10 gallons. Therefore 10 gallons were poured out.

Answer:

undefined

Step-by-step explanation:

( -4, 6) & (-4, -2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (-4 -  (-4))

Simplify the parentheses.

= (-8) / (-4 + 4)

= (-8) / (0)

Simplify the fraction.

-8/0

= undefined

This slope is undefined because you cannot divide a number by 0. These points also fall on a vertical line, which has an undefined slope.

Hope this helps!

Answer:

the distance is 8

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Simple, count from -3 to 5

An alternative way to find the answer is to add the absolute values of the points.

For example,

|-3| = 3    So, |-3| + |5| is 8

Answer:

20 pounds and 62p

Step-by-step explanation:

33 divided by 8 then you times it by 5

$43 per 10 gallon

Let's divide the dollar amount by gallons to get unit rate.

Thus,

43/10

= 4.3 dollars per gallon

Then,

62.05 dollars per 15 gallons, we can divide same way to get the unit rate. Thus,

62.05/15 = 4.14 dollars per gallon

Obviously, the 2nd one is the better deal!

The unit rate is $4.14 per gallon.

Answer:

20%

Step-by-step explanation:

9/45 = 0.2

0.2*100 = 20

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Answer:

c

24

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

/LM/ is similar to /SR/

scale = 9 / 6 = 1.5 = 3/2

length of /ST/ = 12 / 1.5 = 8

Length of /TR/ = 15 / 1.5 = 10

Perimeter = sum of sides

8 + 10 + 6 = 24

Step-by-step explanation:

a bc it should be good anser

Answer:

first one : y= 1.5x - 6

second one : y= -4x =6.1

first one : (2.2, -2.7)

Step-by-step explanation: please dont flag the other dudes answer it made me cackle and i want others to have that experience lol

Answer:

First: y=1.5x-6

Second: y=-4x+6.1

Third:(2.2,-2.7)

Step-by-step explanation:

Answer: Finding the number of equal-sized parts into which a number can be split

Step-by-step explanation:

Hi, a division expression is the division of 2 numbers that results in a quotient.

The quotient is the number of times that the second number in the division is contained in the first number.

For example 20 ÷ 2 = 10

Number 2 is contained 10 times in the number 10, or in other words, 20 can be split into ten equal-sized parts.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

A

Step-by-step explanation:

for edge

From the tape diagram, your allowance and your friends' allowance is $48 and $32 respectively.

What is tape diagram?

A tape diagram is a visual representation that looks like a piece of tape and is used to help with ratio calculations, addition, subtraction, and most frequently multiplication. A divided bar model, fraction strip, length model, or strip diagram are other names for it. It is employed in mathematics education to help elementary school-aged children solve word problems. Students can use a tape diagram as a pictorial model to represent a mathematical relationship or to better understand a mathematical concept. Although they are frequently used with word problems, tape diagrams are helpful for solving many different kinds of math problems.

Let the ratio is given by 3:2 and total is 5
hence, 5 parts represent $80, so each part represents= 80/5= 16
hence, your allowance is 3×16 =48 and your friend allowance is 2×16= 32

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Answer:yes

Step-by-step explanation:

Answer:

$20-$18=$2 discount

2/20×100%=10% discount

To calculate the hip length of a roof, measure the length of the hip rafter, calculate the run and rise of the hip rafter, and add them together.

Calculating the hip length of a roof requires some measurements of the roof's dimensions. The hip length is the distance from the outside corner of the building to the center of the roof ridge along the outside edge of the hip rafter.

To calculate the hip length, you'll need to know the pitch of the roof and the run and rise of the hip rafter. The run is the horizontal distance from the outside corner of the building to the center of the ridge, and the rise is the vertical distance from the outside corner to the top of the ridge.

It's important to note that the pitch of the roof and the dimensions of the hip rafter may vary depending on the design of the roof. Additionally, the hip length is just one measurement used to calculate the overall size and dimensions of a roof.

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The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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The probability of selecting the card with the number three at least once is 1/10.

Given that,

1 through 10 cards are contained in a box. Two cards are chosen at random and replaced

To find : The probability of selecting the card with the number three at least once?

Probability (3 at first)  * Probability (3 at second) + Probability (3 at first)  *Probability (others at second) + Probability (others at first) *Probability (3 at second) = 1/10 * 1/0 + 1/10 *9/10 + 9/10*1/10

= 19/100 = 0.19

Here there are 10 cards,

So, probability of picking three is 1/10 and probability of picking others is 9/10

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To determine the value of m in the equation, apply the slope formula, m \(= \frac{y_2 - y_1}{x_2 - x_1}\).

The slope of a line (m) = change in y / change in x = (y2 - y1)/(x2 - x1).

In the slope-intercept form of an equation that represents a line, the slope is represented as "m" in y = mx + b.

The equation we can use to determine the slope (m) if we are given two points on a line is, m = (y2 - y1)/(x2 - x1).

For example, if two points, (-4,2) and (8,5) are points on the line, we can find the value of the slope (m) as:

m = (2 - 5)/(-4 - 8) = -3/-12

Slope (m) = 1/4

The value of m to use in the equation of the line would be 1/4.

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Answer:

$30.00

Step-by-step explanation:

The original amount of the shirt is $270.

Given that, a shirt is on sale for 10% off.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, the sale price is $27.00.

Let the original amount of the shirt be x.

Now, 10% of x = 27

⇒ 10/100 × x=27

⇒ 0.1x=27

⇒ x=27/0.1

⇒ x=$270

Therefore, the original amount of the shirt is $270.

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Explanation:

The sequence 2,8,32,128,... is geometric

To get a new term, we multiply by the common ratio 4.

2*4 = 8

8*4 = 32

32*4 = 128

To find the common ratio, you pick any term you want, and divide by its previous term

r = (term2)/(term1) = 8/2 = 4

r = (term3)/(term2) = 32/8 = 4

r = (term4)/(term3) = 128/32 = 4

The starting term is a = 2, so the nth term is

a(n) = a*(r)^(n-1)

a(n) = 2*(4)^(n-1)

Using multiplication of variable by a constant, it is found that the correct mean and standard deviation for Y are given by:

In this problem:

Hence:

\(M_Y = 125(0.25) = 31.25\)

\(S_Y = 7(0.25) = 1.75\)

Also, from the mean, we have to subtract the cost per week, hence:

\(M_Y = 31.25 - 5 = 26.25\)

Hence, the correct option is:

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