consider all seven-digit numbers that can be created from the digits 0-9 where the first and last digits must be even and no digit can repeat. assume that numbers can start with 0 . what is the probability of choosing a random number that starts with 2 from this group? enter a fraction or round your answer to 4 decimal places, if necessary.

More classmates liked hip-hop than relatives.

        62 ÷ 100 = 0.62

        70 ÷ 100 = 0.7

Answer:

dad

Step-by-step explanation:

The probability that both the pirate and the Captain hit each other's ships is 1/7.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

Probability of captain hitting pirate's ship = 1/2

Probability of pirate hitting captain's ship = 2/7

We have to evaluate the probability that both the pirate and the Captain hit each other's ships:

= 1/2 × 2/7

= 1/7

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Step-by-step explanation:

A) The amount is taken during the first dose is - 500 mg

In 10 days, she will take the drugs for 240/12 = 20 times

After 12 hours, 4.5 % of drugs remain in the blood therefore

after the first dose = 500

second dose, 4.5% of  500 + 500 = 22.5 +500 = 522.5 mg

third dose, 4.5 % of 522. 5 + 500 = 523.51 mg

Forth dose, 4. 5% of 523.51 + 500 = 523.55 mg

B) Highest amount will be found on 20th dose.

= 500 x (1-0.045^20/ 1- 0.045)

= 523.55 mg

C) The highest amount in the body is near to 523.55 mg therefore after 10 days also, the amount of drug will remain near the value of 523.55 mg.

Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Answer:

x-intercept(s):

(−54,0)

y-intercept(s):  (0,−1)

Step-by-step explanation:

Answer:

El perímetro es 16, por qué para hallar el perímetro son la suma de sus 3 lados.

el área es la base por altura, que en este caso sería...

\( \frac{6cm \times 4cm}{2} = 12cm\)

The set of all possible output values of a function is called the range. Option c, range, is the correct answer.

To understand this concept, let's break it down step by step:

1. A function is a relationship between inputs (also known as the domain) and outputs (also known as the range).
2. The domain refers to all the possible input values that can be used as input to the function.
3. The range, on the other hand, refers to all the possible output values that the function can produce.
4. For example, let's consider a function that takes the age of a person as input and returns their height. The domain of this function could be all the possible ages, while the range could be all the possible heights that correspond to those ages.
5. It's important to note that the range can vary depending on the function. In some cases, the range may be limited, while in others, it may be infinite.
6. By understanding the range of a function, we can determine all the possible output values that the function can produce.

In summary, the set of all possible output values of a function is known as the range.

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Which term describes the set of all possible output values for a function?

a. output

b. input

c. range

d. domain

Answer:

Domain: All real numbers ; Range: y> -3

Step-by-step explanation:

Answer:

150 mm^3

Step-by-step explanation:

The formula of a pyramid is

V=1/3(Bh)

The formula for a rectangle is

V=(Bh)

They both have the same Bh, so because the formula of a pyramid states that it's 1/3 of Bh, and 1/3 of Bh = 50, the volume of a whole Bh is 150mm^3.

Hope this makes sense

Answer:

Answer:

150 mm^3

Step-by-step explanation:

The formula of a pyramid is

V=1/3(Bh)

The formula for a rectangle is

V=(Bh)

They both have the same Bh, so because the formula of a pyramid states that it's 1/3 of Bh, and 1/3 of Bh = 50, the volume of a whole Bh is 150mm^3.

Step-by-step explanation:

Answer:

D)$660

Step-by-step explanation:

Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.

Answer:

You add it by 2 each time to get your answer

Step-by-step explanation:

The equation\(2^2 = 3^2\) does not define any of the given shapes, as it is simply a false statement. The equation \(y^{2/2 }= x^{2/2\) does define a hyperbolic paraboloid.

On the other hand, the equation \(y^{2/2 }= x^{2/2\) defines a hyperbolic paraboloid. A hyperbolic paraboloid is a three-dimensional surface that has a saddle-like shape, with two opposing parabolic curves that cross each other. It is also known as a "saddle surface" due to its shape.

The equation \(y^{2/2 }= x^{2/2\) can be rewritten as \(y^{2/2 }= x^{2/2\), which is in the form of a hyperbolic paraboloid equation. This surface can be obtained by taking a parabolic curve and sweeping it along a straight line in a perpendicular direction. This creates a surface with a hyperbolic cross-section in one direction and a parabolic cross-section in the other direction.

Hyperbolic paraboloids have a wide range of applications in architecture, engineering, and design. They are often used in the construction of roofs, shells, and other structures that require strong and lightweight materials. They can also be used to create interesting and unique shapes in art and sculpture.

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The equation 2x^2 = 3y^2 does not define any of the given three-dimensional shapes.

This is because it does not contain a z variable, which is necessary to define these shapes in three dimensions. Therefore, the equation cannot represent any of the given shapes.

On the other hand, the equation y^2 = 2x defines a hyperbolic paraboloid. This is a three-dimensional shape that resembles a saddle. It is formed by taking a hyperbola and rotating it around its axis. In this case, the hyperbola is oriented along the x-axis, and the parabolic cross-sections occur in the y-direction.

The equation can be rewritten as y^2 = 2(x - 0)^2, which is the standard form of a hyperbolic paraboloid. This equation can be graphed in a three-dimensional coordinate system, with the x-axis and y-axis forming the base and the z-axis representing the height of the surface above the base.

The shape is characterized by its saddle-like appearance, with two opposing hyperbolic curves along the x-axis and two opposing parabolic curves along the y-axis.

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Answer:

To solve this problem, we will use the following steps:

Step 1: Since a pair of dice are tossed, we have 36 possible outcomes (6 outcomes for each die).

Step 2: To find the probability that doubles are rolled, we can find the number of outcomes that result in doubles and divide that by the total number of possible outcomes.

Step 3: To find the probability that the sum on the two dice is less than 7, we can find the number of outcomes that result in a sum of less than 7 and divide that by the total number of possible outcomes.

Step 4: We will use this probability to find the conditional probability of rolling doubles, given that the sum on the two dice is less than 7.

Step 5: To find the number of outcomes that result in doubles, we can consider rolling (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) which are 6 outcomes.

Step 6: To find the number of outcomes that result in a sum of less than 7, we can consider rolling (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (5,1), (5,2) which are 18 outcomes.

Step 7: To find the conditional probability of rolling doubles, given that the sum on the two dice is less than 7, we can find the number of outcomes that result in doubles and sum less than 7 which are (1,1), (2,2), (3,3), (4,4), (5,5) which are 5 outcomes.

Step 8: We can calculate the probability by dividing the number of outcomes that result in doubles and sum less than 7 by the number of outcomes that result in a sum less than 7.

5/18 = 0.278

Final Answer: The probability of rolling doubles, given that the sum on the two dice is less than 7, is 0.278 or 27.8%.

Step-by-step explanation:

-7-(-7)

=-7+7

=0

1-(-3)

=1+3

=4

Answer:

2.3 pages per minute

Step-by-step explanation:

Answer:

Y<x

Y<2

Step-by-step explanation:

Apex

Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

Vanessa needs to buy 46 inches of ribbon if she estimates, as the area of the circle is 154 square inches and the circumference of the circle is 2r.

Formula: Area of Circle = πr²Circumference of Circle = 2πr Let's assume that radius is 'r'. Then the area of the circle is 154 square inches. So,πr² = 154r² = 154/π = 49 (approx) Putting the value of r in the formula of circumference, we get Circumference of Circle = 2πr Circumference of Circle = 2 x π x r = 2 x π x 7 = 44 (approx) According to the question, Vanessa would like to place a tiny ribbon around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. So, she will buy 44 + 2 = 46 inches of ribbon. Therefore, Vanessa needs to buy 46 inches of ribbon if she estimates π.

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answer

°

61°

Step-by-step explanation:

The measure of ∠MOP=61°.

A straight angle is an angle which measures 180°.

So according to the question,

∠MON is a straight angle.

⇒m∠MON=180°

∠QON=58° (according to the figure)

OP bisects ∠MOQ,

then OP makes ∠MOQ into two equal angles i.e. ∠MOP and ∠POQ:

∠MOP=∠POQ=∠MOQ/2  -----equation-1

As OQ divides ∠MON into two angles ∠MOQ and ∠QON. So,

m∠MOQ+m∠QON=m∠MON

⇒m∠MOQ+58°=180°

⇒m∠MOQ=180°-58°

⇒m∠MOQ=122°

Replacing ∠MOQ by 122° in the equation-1

m∠MOP=m∠POQ=m∠MOQ/2=122°/2

⇒m∠MOP=m<POQ=61°

Therefore the measure of ∠MOP=61°.

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The two way table given by option z is a possible representation of the data collected.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

From the first table, we have that:

Then, for the basic packages, we have that resorts were chosen 2.5 times more than tours, while cruises were chosen 1.5 times more than tours.

Option z shows these same ratios between the amounts, hence it is the correct option.

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Answer:

y= -2x +39

Step-by-step explanation:

y= mx+b

m is the slope which is given -2

since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(

y - 15 = -2(x-12)

simplify

y-15= -2x +24

y= -2x + 39

To calculate the ocean freight charges in Canadian dollars, we need to determine the volume of each cargo and convert the volume to cubic meters (m³) since the ocean freight rate is given in USD per m³.

Calculate the volume of each cargo: Skid of Apple: Volume = length x width x height = 100 cm x 100 cm x 150 cm = 1,500,000 cm³. Box of Orange: Volume = length x width x height = 35" x 25" x 30" = 26,250 in³. Convert the volumes to cubic meters: Skid of Apple: 1,500,000 cm³ ÷ (100 cm/m)³ = 1.5 m³. Box of Orange: 26,250 in³ ÷ (61.0237 in/m)³ ≈ 0.43 m³. Calculate the total volume of both cargos: Total Volume = (2 skids of Apple) + (3 boxes of Orange) = 1.5 m³ + 0.43 m³ = 1.93 m³. Convert the ocean freight rate from USD to CAD:  Ocean Freight Rate in CAD = $250 USD/m³ × (1.25 CAD/USD) = $312.50 CAD/m³.

Calculate the ocean freight charges in Canadian dollars: Ocean Freight Charges = Total Volume × Ocean Freight Rate = 1.93 m³ × $312.50 CAD/m³. Therefore, the ocean freight charges for the given shipment in Canadian dollars will be the calculated value obtained in step 5.

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Answer:

.875

Step-by-step explanation:

Answer:

Area of square= d²/2

= 4²/2

= 16/2

= 8cm²

Step-by-step explanation:

A=

\(a {?}^{2} \)

d=

\( \sqrt{2a} \)

we can find A.USE THIS FORMULA

A =1/2 d squared

so 1/2×4 squared=8

8 is the answer

Answer:

n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right

Answer:

n = 17

Step-by-step explanation:

The opposite angles of a Parallelogram are equal.

So,

4n-2 = 2n+32

4n-2n = 32+2

2n = 34

Dividing both sides by 2

n = 17

We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.

Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.

We will investigate the type of translations that are possible as follows:

Where,

AND,

We will investigate how to use the above rule to determine the image of the square JKLM.

We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:

The general rule that will be applied to the vertices of the square JKLM:

The four coordinate of the square are:

Applying the general rule to determine the image of all vertices:

The image of the square JKLM is as follows:

We can plot these images on the grid as follows: