estimate 1/4 times 21

Answer:

  16 square units

Step-by-step explanation:

You want to know the area of rhombus ABCD whose vertices are ...

The area of a rhombus can be found using the formula ...

  A = 1/2ab . . . . . where 'a' and 'b' are the lengths of the diagonals

The diagonals of this rhombus are horizontal and vertical lines, so their lengths are easily found.

Diagonal AC is 4 - 0 = 4 units long.

Diagonal BD is 3 -(-5) = 8 units long.

Then the area is ...

  A = 1/2(4)(8) = 16 . . . . square units

The area of rhombus ABCD is 16 square units.

the rate of travel from city A to city B will be 412 miles/day.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, The Ramirez family is driving from City A to City B.

Since,

In 3 ​days, they have traveled 1236 miles.

Thus,

Their speed in miles per day = 1236/3

Their speed in miles per day = 412 miles /day

therefore, the rate of travel from city A to city B will be 412 miles/day.

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Answer:

Step-by-step explanation:

So for the given information, it would be easiest to use slope-intercept form, which is y=mx + b, where m is the slope and b is the y-intercept.

We can plug in 2/3 for the slope, because we are given that.

y=2/3x + b.

To find the y-intercept, plug in the given point for x and y and solve for b.

-5 = 2/3 · (-3) + b

-5 = -2 + b

b = -3

So now we have the complete equation of the line.

y = 2/3x -3

Now to graphing.

We can put the y-intercept, (0, -3), and the given point, (-3, -5) on a graph.

Answer: 25

Step-by-step explanation:

lol

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Let's go through the answer choices one by one

Answer:

The y-intercept is -2 and the slope is 2/3

Step-by-step explanation:

The standard deviation for the binomial distribution with n trials and success probability p is given by the formula σ = sqrt(np(1-p)).

In this case, n = 48 and p = 3/5. Plugging these values into the formula, we get σ = sqrt(48*(3/5)*(2/5)) ≈ 3.05. Therefore, the standard deviation for this binomial distribution is approximately 3.05.

The standard deviation measures the spread of a distribution. In the case of a binomial distribution, it tells us how much the number of successes varies around the mean. A smaller standard deviation indicates that the distribution is more concentrated around the mean, while a larger standard deviation indicates that the distribution is more spread out. In this case, the standard deviation of approximately 3.05 means that the number of successes is likely to vary by about 3 around the mean, which is np = 28.8.

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Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

The total time Andrea takes is equal to 4 hours and 30 minutes

What is meant by average?

A single value that sums up or depicts the overall importance of a collection of disparate values (such as a mean, mode, or median).

We know that Average speed = distance traveled / time taken

=> Time taken = distance traveled / average speed.

When driving:

Given that Andrea drives at an average speed of 40kmph for 110km.

Time taken for this part of the journey is =

110/40 = 11/4

When running:

Given she runs for 14km at an average speed of 8kmph.

Time taken for this part is = 14/8 = 7/4

The total time taken by Andrea is = 11/4 + 7/4 = 9/2.

Which means 4 hours 30  minutes.

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Answer:

The order of operations is Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

Step-by-step explanation:

The order of operations is PEMDAS.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

An easy way to remember PEMDAS is, please excuse my dear aunt sally.

Hope this helps!

If not, I am sorry.

Answer:

2109 meter squared

Step-by-step explanation:

\(Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2} \)

When graphing frequency distributions, bar charts are most commonly used to depict simple descriptions of categories for a single variable.

Bar charts provide a visual representation of the frequencies or counts of different categories or classes of a variable.

A bar chart consists of a series of rectangular bars, where the length or height of each bar represents the frequency or count of the corresponding category. The categories are displayed on the horizontal axis, while the frequency or count is shown on the vertical axis. Each bar is separate and distinct, allowing for easy comparison between categories.

The use of bar charts is particularly effective when working with categorical or discrete variables. Categorical variables represent data that can be divided into distinct groups or categories, such as colors, types of animals, or levels of satisfaction. By using a bar chart, we can clearly visualize the distribution of data across these categories.

Bar charts have several advantages that make them suitable for displaying frequency distributions. Firstly, they are easy to understand and interpret. The length or height of each bar directly corresponds to the frequency or count, making it straightforward to identify the relative magnitudes of the categories. Additionally, the spacing between the bars allows for clear differentiation between categories, enhancing readability.

Furthermore, bar charts facilitate the comparison of frequencies or counts across different categories. By aligning the bars side by side, we can easily assess the differences in frequencies or counts between categories. This visual comparison is especially useful for identifying dominant or minority categories, patterns, or trends within the data.

Bar charts also allow for additional visual enhancements to convey additional information. For example, different colors can be used to represent different categories, making it easier to distinguish between them. Labels can be added to the bars or axes to provide further context or explanation. These visual cues help in enhancing the overall clarity and communicability of the graph.

It is worth noting that bar charts are most appropriate when dealing with discrete or categorical variables. For continuous variables, a histogram is commonly used to depict the frequency distribution. Histograms are similar to bar charts, but the bars are connected to form a continuous distribution to represent the frequency or count of data within specific intervals or bins.

In conclusion, when graphing frequency distributions, bar charts are the most commonly used method to depict simple descriptions of categories for a single variable. Bar charts provide a clear and intuitive visual representation of the frequencies or counts of different categories, facilitating easy comparison and interpretation of the data. Their simplicity and versatility make them a valuable tool in data analysis and visualization.

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Answer:

i think seventy two......72

Answer:

Step-by-step explanation:

Answer: it’s A and C (45 ft and 37 ft) I think

Answer:

22.98

Step-by-step explanation:

The right triangle that contains the diagonal the problem asks for has legs c and e and a hypotenuse d. You will need another right triangle to find the value of e. Using the base of the container, you have a right triangle with legs a and b and a hypotenuse e. The container is 8 ft wide. This is the value of b. The container is 20 ft long. This is the value of a.

a2+b2=e2202+82=e2400+64=e2464=e2464−−−√=e2−−√±21.54≈e

The problem tells you that the container is 8 ft tall. This is the value of c. Now that you have e, you can solve for d.

c2+e2=d282+(21.54)2≈d264+464≈d2528≈d2528−−−√≈d2−−√±22.98≈d

The length of a diagonal from a top corner to the opposite bottom corner of the container is approximately equal to 22.98 ft. Remember that length cannot be negative.

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

The Ratios are equivalent to 2:3 ,Therefore, the correct answer is:

6 to 9 ,8 to 12,4/6

The ratios are equivalent to 2:3, we need to simplify each ratio and check if it equals 2:3.

Let's simplify each ratio:

12 to 36: Divide both numbers by their greatest common divisor (GCD), which is 12.

Simplified ratio: 1 to 3

6 to 9: Divide both numbers by their GCD, which is 3.

Simplified ratio: 2 to 3

10/18: Simplify the fraction by dividing both numerator and denominator by their GCD, which is 2.

Simplified ratio: 5/9

8 to 12: Divide both numbers by their GCD, which is 4.

Simplified ratio: 2 to 3

16 to 20: Divide both numbers by their GCD, which is 4.

Simplified ratio: 4 to 5

4/6: Simplify the fraction by dividing both numerator and denominator by their GCD, which is 2.

Simplified ratio: 2/3

From the simplified ratios, we can see that 6 to 9, 8 to 12, and 4/6 are all equivalent to 2:3. Therefore, the correct answer is:

6 to 9

8 to 12

4/6

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The total number of oranges in the basket is 95.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Of a basket of oranges,

20% of them are defective and 76 are in good condition.

Let x be the total number of oranges.

That means 80% = 76 oranges are in good condition.

20% in decimal form is 0.2.

Applying the percentage formula,

(1 - 0.2)x = 76

0.8x = 76

x = 95

And 20% of 95 = 19

Therefore, the total = 95.

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The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.

A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.

Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).

Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.

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Step-by-step explanation:

Given

\(3 {x}^{2} \times 4 {x}^{5} \\ = 12 {x}^{2 + 5} \\ = 12 {x}^{7} \)

Hope it will help :)❤

Answer:

12x^7

Step-by-step explanation:

3x^2(4)x^5

=3*x^2*4*x^5

=12*x^7

=12x^7

Please give brainlist!

Answer:

$33.75

Step-by-step explanation:

Step 1:

$22.50 ÷ 3 = $7.50

Step 2:

$7.50 × 4.5 = $33.75

Answer:

$33.75

Hope This Helps :)

Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)

Now we calculate the partial derivatives as follows,

∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...

and,

∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0

Therefore,

∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j

The curl of F is given by:

(cos(xy) - xy sin(xy)) i - sin(z)j.

To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:

r(t) = n* i + t}j + tcos atk, 15t52.

The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t

= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt

= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt

= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1

= sin(a) sin(n) - (a/2) cos(2a)

The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).

The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).

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Answer:

B. It is between 4 and 5

Step-by-step explanation:

When you square 4 you get 16. Do the same to 5 and you get 25.

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2

The distance from the headquarters to a point on the ground directly below the balloon (to the nearest foot) is 1221 feet

The distance is calculated using tangent of the angle using the formula

tan x = opposite / adjacent

From the question it can be deduced that

x = 55°11'

opposite = the required distance

adjacent = 849 feet

solving for the opposite

tan x = opposite / adjacent

tan 55°11' = opposite / 849

opposite = 849 * tan 55°11'

opposite = 1220.793

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

t = 9

Step-by-step explanation:

t/3 = 12 - 9

t = 3 * 3

t = 9

Answer:

t=9

Step-by-step explanation:

t/3+9=12

t/3+9-9=12-9

t/3= 3

3xt/3 = 3x3

t=9

The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.

The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:

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