Basil N. Thyme is putting in a triangular herb garden with sides of 2 yards, 3 yards and 4 yards. He needs to know the area of his garden so he would know how many herb plants to germinate in his greenhouse.. What is the area of his herb garden to the nearest square foot? (convert yards to feet.)

Based on the given data set in the box plot, the interquartile range (IQR) can be found to be D. 21

The box plot is not given. However, based on the similar box plot attached, we can infer that the upper quartile in the box plot is 72.

The lower quartile can also be inferred to be 51.

The interquartile range can be found by subtracting the lower quartile from the upper quartile. The interquartile range is:

= Upper quartile - Lower quartile

= 72 - 51

= 21

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In order to calculate the percentage that enjoy New Years Eve only, we can use the diagram and formula below:

Using F to represent Fourth of July, N to represent New Years Eve and M to represent Memorial Day, the formula is:

From the given data, we have:

P(N) = 28% = 0.28

P(F and N) = 18% = 0.18

P(M and N) = 12% = 0.12

P(all three) = 5% = 0.05

So P(N only) is:

Calculus in real life applications is highly common in the engineering industry.

Structural engineering is one of calculus' most important practical applications. Calculus is used to determine structural requirements for earthquake design, stresses in intricate structural combinations, and heat loss in buildings. Calculus is used by architects to determine the crucially critical amount of materials needed to build support systems that can endure stress for extended periods of time. Calculus was used to foresee the effects of wind resistance when building famous structures like the Eiffel Tower.

Beams, tension, and compression members are the three structural components that civil engineers must take into account while building bridges. Calculus can be used to calculate the amount of force exerted on the beam, taking into account the weight of vehicles, pedestrians, and projected traffic on the bridge. The materials, size, and capacity can be calculated based on these variables.

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What is the shape of the distribution of bag weight?

uniform

skewed left

skewed right

roughly symmetric

From the data and graph given, the shape of distribution is skewed left. Meaning, the left side of the graph is wider than that of the side to the right of the highest value.

Answer: Skewed left

Step-by-step explanation: less data towards the left side of the histogram

The answer is D. None of the triangles are congruent by the HL theorem.

Because even though a and b have the same hypothenuse, they don't have the same leg, so they are not congruent and in the HL theorem they have to be equal in the hypothenuse and one of the legs.

Given:

Principal amount = $6000.

Let x be the amount invested at 5%.

So, 6000-x be the amount invested at 10%.

The annual interest is $590

The equation is written as,

Answer: At 5%, the amount invested is $200, and at 10%, the amount invested is $5800.

As we can see in the graph, the lines intersect in the ordered pair (-2,7). Then, the solution to the system comprised of these two lines is:

To solve the given system of equations, we can use the equalization method.

Step 1: Either variable is chosen and solved in both equations.

Step 2: The expressions are equalized, obtaining an equation with a variable.

Step 3: We solve for x the resulting equation:

Answer:

m ∠6 = 55°

Step-by-step explanation:

Angles 2 and 6 are corresponding angles and equal

m ∠2 + 125° = 180° since they are linear supplementary angles

m ∠2 = 180 - 125 = 55°

Since m ∠2 = m ∠6

m ∠6 is also 55°

Answer:

1,547 different home theater systems.

Explanation:

Given that you can choose between the following options:

• 17 different tv’s

• 7 types of surround sound systems

• 13 types of dvd players

Thus, to find the number of possible home theater systems that you can build, multiply the number of each item type.

You can build 1,547 different home theater systems.

Answer:

the dependent variable is how much the plant grows. The independent variable is the amount of water the plant is given.

Step-by-step explanation:

The amount the plant grows depends on the amount of water

also plus ultra

Answer:

same question here

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of the line on the graph is - 2

The given parameter is the line on the graph

From the above graph, we have the following points

(x₁, y₁) = (0, 0)

(x₂, y₂) = (3, -6)

The slope of a line can be calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, -6)

Substitute the known values in the above equation

So, we have the following equation

Slope = (-6 - 0)/(3 -0)

Evaluate the quotient

Slope = -2

Hence, the slope is -2

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This problem is about a polar equation. It's important to know that polar coordinates depend on two variables, the angle of the vector and its distance.

Where r represents the distance and theta represents the angles.

In this case, the angle is 20°, according to the problem.

So, first, we need to graph this equation in the polar system, to then measure the length of the petals

The graph of this equation is shown in the image attached below.

In the image above, you can observe the polar equation graphed, with the coordinated system behind, this will allow us to find the length of each (which are symmetrical). You can observe that the petal on the third quadrant is at (-5,-5).

Now, we use the following formula to find the distance

Replacing the points, we have

Answer: 30

Step-by-step explanation:

If you multiply the amount of answer choices (5) by the amount of questions (6), you will get 30. 6 x 5 = 30

Start by using the definition of a kilometer with its equivalent to meters

Then, using the conversion factor, convert the meters to kilometers

Answer: -3

Step-by-step explanation:
Slope intercept form is:
y = mx + b

Which in this case m is the coefficient of x so -3

We have to find the quotient of 458 by 26 and the residue:

we have that Chantelle used 17 jars and she got 16 pennies left.

Here, given the values of x and y, we are told to evaluate the given expression

What we need to do here is to simply substitute the values of x and y into the given expression

Thus;

we have -x + 5y + 2x

By substitution, this becomes;

-(-4) + 5(8) + 2(-4)

= 4 + 40 -8

= 44 - 8

= 36

Given x = -4 and y = 8 , the expression -X +5y + 2x​ = 36

ANSWER

EXPLANATION

First, let us make a sketch of the circle:

Since the diameter of the circle is 20 cm, the radius of the circle is 10 cm, as shown above.

The two radii and the chord of the circle form a triangle. Also, the distance from the center to the chord forms a right triangle with the radius and half the length of the chord:

Now, we can solve for d by applying the Pythagoras theorem:

Solve for d:

That is the distance from the chord to the center of the circle.

Answer:

Step-by-step explanation:

Jackson

Tim

to know how much more Jackson spent we do a subtrac between Jackson and Tim

then

solve the parenthesis

group posible operations

and solve

Jackson spents $4.33 + 1 pund on cherries more

(A). Sample Space: {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}.

(B). Outcome: {HHH, HHT, THH, THT}

For the given question;

The coin is tossed thrice.

The outcome of head is denoted by 'H'.

The outcome of tail is denoted by 'T'.

(A). Sample Space for coin is tossed 3 times.

{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}

(B). Outcome for second toss is Head

{HHH, HHT, THH, THT}

Thus, the values for the sample space of the coin tossed thrice are obtained.

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Answer:

y = 2

Step-by-step explanation:

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches ±∞.

Mathematically we write this as
[tex]f(x) \rightarrow a \text{ as } x \rightarrow \infty \text{ or } x \rightarrow -\infty[/tex]

A vertical asymptote at some constant a is where the function approaches  ±∞.

Mathematically
[tex]f(x) \rightarrow \infty \text { or } f(x) \rightarrow -\infty \text{ as } x \rightarrow a[/tex]

The given function y = 2ˣ + 2 is an exponential function and exponential functions do not have a vertical asymptote

The horizontal asymptote can be found by determining what the function limit is as [tex]x \rightarrow \pm \infty[/tex]

As [tex]x \rightarrow +\infty[/tex] the function [tex]\rightarrow \infty[/tex]

As [tex]x \rightarrow -\infty[/tex] , [tex]2^x \rightarrow 0\\\\\\2^x + 2 \rightarrow 2\\\\[/tex]

So the equation for the horizontal asymptote is y = 2

The graph shows that at y = 2, the function is parallel to the line but does not touch the line

Answer: 25

Step-by-step explanation: 625 divided by 25 is 25.

The system of measurement is most commonly used in the United States is Metric system.

Answer: metric system hope this help a had this problem

The equation would be linear because every week, Rachel will purchase 2 more videos- resulting in this equation.

x = 37 + 2

Note: I assigned x as the total videos Rachel will have the following week.

The answer would be LINEAR.

Answer:

Explanation:

To do this you can use the following formula that is used to standardize a random variable which has a normal distribution

Where

So, replacing you have

Simplifying you have

As per the concept of probability,

a) There are 1757600 number of possible license plates can there be in this state if repetition of letters and numbers is​ permitted

b) There are 1404000 number of possible license plates can there be in this state if repetition of letters and numbers is​ not permitted.

Probability:

Probability refer the possible way of occurring the particular event.

Given,

License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters.

Here we need to determine the number of possible license plates for both repetition phase and non repetition phase.

Here we know that, license plates consist of 3 letters followed by 2 digits.

Let us consider the numbers on license plates be N

Let us consider the letters on license plates be L

Then the license plate consisting of 3 letters and 2 digits will be writen as,

=> LLLNN.

We know that the letters can be anything from A to Z.

There are 26 letter combinations for the first letter.

Again second and third letters can be anything from the 26 letters.

So, combination for letters = 26 × 26 × 26 = 17576

Similarly, the numbers can be anything from 0 to 9.

There are 10 combinations for both places.

Then the combination for numbers = 10 × 10 = 100

Therefore, the total number of combination for letters and numbers

=> 17576 × 100 = 1757600.

Therefore, there are 1757600 license plates can be made with repetition.

Similarly, for non repetition mode,

The number of letters for each place is reduced before,

So, the combination for the letter is,

=> 26 x 25 x 24 = 15600

Similarly, the combination of numbers is,

=> 10 x 9 = 90

Therefore, the total number of combination is,

=> 15600 x 90 = 1404000

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Given

Mean = 6.625

Standard Deviation = 1.9

Values within 1 standard deviation of mean, mean:

5 = 2 people

6 = 2 people

7 = 5 people

8 = 3 people

Total = 2 + 2 + 5 + 3 = 12 people

C