to use a normal distribution to approximate binomial probabilities, why do we require that both np and n(1 - p) be at least 10?

Answer: 2289.06

Step-by-step explanation:

math expert

Answer:

r = 169.56 in. / 2π ≈ 27 in.

Now we can use the radius to find the area:

Area = πr^2 ≈ π(27 in.)^2 ≈ 2289.06 in^2

So the area of the circular table is approximately 2289.06 square inches, rounded to the nearest hundredth. The answer is option C.

The simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

When you use operations like addition, subtraction, multiplication, division, exponentiation, and other operations to combine numbers and variables.

Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn. Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between. In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.

To simplify the expression 9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k), we need to distribute the factors and simplify the resulting terms:

9j⁶k²(j⁸k⁷ + j⁵k⁴ - 8j²k)

= 9j⁶k²j⁸k⁷ + 9j⁶k²j⁵k⁴ - 72j⁸k³

= \(9j^{(6+8)}k^{(2+7)} + 9j^{(6+5)}k^{(2+4)} - 72j^{(8-2)}k^{(3-1)\)

= \(9j^{14}k^9 + 9j^{11}k^6 - 72j^6k^2\)

Therefore, the simplified expression is 9j¹⁴k⁹ + 9j¹¹k⁶ - 72j⁶k².

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Answer:

2.33

Step-by-step explanation:

imagine a circle. its center is A, and it goes through B, so its radius is AB.

then it is important to know that the sum of all the angles in a triangle is 180 degrees.

one angle (at C) is 90. the angle at B is 25. so, the angle at A is 180 - 90 - 25 = 65 degrees.

more back to our circle.

in this circle the line CB is the sine of the angle at A multiplied by the radius.

and AC is the cosine of the angle at A multiplied by the radius.

we can ignore the orientation + and - of these functions, as we are only interested in the absolute length (and we can mirror the triangle, and all the angles and side lengths still stay the same).

=> CB = sin(A)×AB

AC = cos(A)×AB

=> 5 = sin(65)×AB

=> AB = 5 / sin(65)

=> AC = cos(65)×5/sin(65) = 5 × (cos(65)/sin(65)) =

= 5 × cot(65) = 2.33

Answer:

10200

Step-by-step explanation:

0.06*340,000=20400

20400÷2=10200

Answer:

Yes, it's very helpful!

Step-by-step explanation:

Answer:

Step-by-step explanation:

We start by finding what is inside the parenthesis, following the rules of pemdas we do 10 to the 6th power first, which comes out to be 1000000, we substitute this in instead of 10 to 6.

so we now have:

800.5x(2x1000000 )

Than finishing the parenthesis we multiply by 2

800.5x 2000000

than all you do is convert 800.5 to a decimal and 2000000 to an exponent, your teacher should have given you a chart or step by step directions for this part.

Have a great day!

Answer:

\(\tan 2 x = \dfrac{24}7\)

Step by step explanation:

\(\textbf{2)}\\\\\text{Given that,} \\\\~~~~~\cos x = -\dfrac 45\\\\\implies \cos^2 x = \dfrac{16}{25}~~~~~~~~~~;[\text{Square both sides}]\\\\\implies 1- \sin^2 x= \dfrac{16}{25}\\\\\implies \sin^2 x = 1- \dfrac{16}{25}\\\\\implies \sin^2 x = \dfrac{9}{25}\\\\\implies \sin x =\pm\sqrt{\dfrac{9}{25}}\\\\\implies \sin x = \pm \dfrac 35\\\\\)

\(\text{Since,}~ \pi \leq x \leq \dfrac{3\pi}{2}, ~ \text{the angle lies in the 3rd quadrant, where}~ \sin x ~ \text{is negative.}\\\\\text{So,}~ \sin x = -\dfrac 35\)

\(\text{Now,}~\\\\\tan x = \dfrac{\sin x }{\cos x} = \dfrac{-\tfrac 35}{-\tfrac 45} = \dfrac 35 \times \dfrac 54 = \dfrac 34\\\\\\\tan 2x =\dfrac{2 \tan x }{ 1- \tan^2 x}\\\\\\~~~~~~~~~=\dfrac{2 \left( \tfrac 34 \right)}{1- \left( \tfrac 34 \right)^2}\\\\~~~~~~~~~=\dfrac{\tfrac 64}{1-\tfrac {9}{16}}\\\\\\~~~~~~~~~=\dfrac{\tfrac 32 }{\tfrac 7{16}}\\\\\\~~~~~~~~~=\dfrac 32 \times \dfrac{16}7\\\\\\~~~~~~~~~=\dfrac{24}7\)

Answer:

A right triangle is a triangle in which one of the angles is a 90∘ angle

Step-by-step explanation:

yes

no

obtuse triangle

if it were right it would be

5 12 13

instead its

5 12 17 where

c is 17

calcworkshop

17 > 13 so its obtuse

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:

Sorry

Step-by-step explanation:

Sorry I don't know the answer because I haven't learned this yet. Hope you get your answer!

Yes, it is possible to represent long division answers in the answer instead of just fractions and whatever else is on the answer key. Long division is a method used for dividing two numbers, especially when the divisor has more than one digit. This method is used to break down a division problem into simpler steps that are easier to solve.

When using long division, the answer is obtained by subtracting the product of the divisor and the quotient from the dividend. The remainder is then brought down, and the process is repeated until there are no more digits to bring down. The final answer is obtained by adding up all the quotients.
To represent the answer using long division, you can write the division problem vertically and show all the steps involved. For example, if the problem is to divide 120 by 5, the answer using long division would be:
```
    24
5 | 120
   - 10
   ----
      20
     - 20
     ----
       0
```
The answer is 24, which can be obtained by adding up all the quotients.
In conclusion, yes, it is possible to represent long division answers in the answer. By using this method, you can break down a division problem into simpler steps that are easier to solve. The answer is obtained by subtracting the product of the divisor and the quotient from the dividend and showing all the steps involved.

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Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.

We can express Martha's weekend bicycling information as a rate by dividing the distance traveled by the time taken. In this case, her rate would be:

\(\frac{12 miles}{1.5 hours} = $8 miles per hour\)

This tells us that Martha travels 8 miles for every hour that she spends bicycling.

We can express Martha's weekend bicycling information as a unit rate by dividing the distance traveled by the time taken and expressing the result in terms of one unit of time (usually one hour). In this case, her unit rate would be:

\($\frac{12 miles}{1.5 hour}. \frac{1 hour}{1} = \frac{8 miles}{1 hour}\)

This tells us that Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.

Expressing information as a rate or a unit rate allows us to compare different situations more easily. In this case, we could compare Martha's weekend bicycling rate with her weekday bicycling rate, or with the rates of other bicyclists, to see how they differ.

Therefore, Martha travels 8 miles per hour, which is the same as saying that she covers 8 miles in one hour.

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K23 is the graph that does not have any Euler path.

So, option A is correct.

An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph. It is often helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. A codomain should be considered, for instance, while determining if a function is onto (surjective) or not. The codomain is not determined by the graph of a function alone. The terms "function" and "graph of a function" are frequently used[3] because, although they refer to the same thing, they convey a different viewpoint.

If a graph has more than the two vertices of an odd degree, then the graph does not have any Euler path.

So, K23 is the graph that does not have any Euler path.

Hence, option A is correct.

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The complete question is :

"Select the graph that does not have an Euler trail.

A.K2,3

B.K3,3

C.K3,4

D.K4,4"

The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.

The equation of a curve in the xy-plane is given by F(x,y) = 0. To find such a curve that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2, we can use the method of implicit differentiation.

First, we can find the equation of the tangent line at a point (x,y) on the curve by computing the derivative of F(x,y) with respect to x and setting it equal to 2x/y^2. This gives us:

F_x(x,y) = 2x/y^2

Next, we can use the fact that the curve passes through the point (0,3) to set up the following equation:

F(0,3) = 0

Solving for F(x,y) in terms of x and y and substituting in the equation for F_x(x,y) gives the implicit equation of the curve is

y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant

This is the equation of a curve in the XY-plane that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2.

Therefore, The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.

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Soyala travelled for 3 hours with a speed of 25 mph and 5 hours with a speed of 15 mph

We know that Distance = Rate x Time. The distance traveled to the library is assumed to be same as the distance traveled on the way to home from the library. Let t be the time it took to travel to the library after which (8 - t) = the time it took to travel back home. We can write following two equations using the formula for distance:

d = 25t ---------> (1)

d = 15(8 - t) = 120 - 15t -----------> (2)

Since the distance d is equal for both trips, let's set the two expressions of time t equal to each other.

25t = 120 - 15t

40t = 120

t = 3 hours

Therefore, Soyala travelled for 3 hours at 25 mph and for 8 - 3 = 5 hours at 15 mph. Each rate will yield a distance traveled of 125 miles.

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Answer:

The solution to the system is (1, 6)

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

The equivalent expression of 4.32÷0.16 is 0.27.

Given:

Expression = 4.32÷0.16

We have to determine the equivalent expression of 4.32÷0.16.

4.32÷0.16 (multiply both the terms by 100 to remove decimals)

432 ÷ 16

= 0.27

Therefore, the required equivalent expression is 0.27 respectively.

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Each side is equal so you divide 100 by 4.

Answer is: 25 m

To make the multiplication 518 x 6, we can use long multiplication:

So, as we can see, the result of the multiplication is 3108.

45.0 units is the required perimeter of triangle XYZ

Triangles are known to be similar if the ratio of the similar sides are equal to a constant. The perimeter is the sum of all the sides of the triangle.

From the given diagram , we need to solve for the value of x first as shown:

9/10 = 14/x

9x = 140

x = 140/9

x = 15.6

Find the required perimeter of XYZ
perimeter = ZY + XY + XZ

perimeter = 15.4 + 14 + 15.6

Perimeter = 45.0 units

Hence the perimeter of triangle XYZ is approximately 45.0 units

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Answer:

The width can be 11 cm long.

Step-by-step explanation:

We would multiply 12 cm by 2, or just add 12 cm by 12 cm.

12+12=24

And we should decrease 49 to 46, since it says it want a perimeter less than 49. If we make 49 into 48, that would just make it a square

Then subtract the 24 from 46. If we made 49 into 48, that would just make it a square, 48-24=24 would not fit the criteria. Of course you could make 46 even smaller to get a smaller width, but I just stuck with 46.

46-24= 22

Then we divide it in half.

22/2=11 cm for width

Hope that helped.

The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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Firstly, the expression does not give us an integer result. Since the opposite operation of the cubic root would be power 3, let's try with some easySupe integer numbers:

One can see that 79 is between the numbers 64 and 125:

Therefore, that expression is located between the integer numbers 4 and 5.

===========================================================

Work Shown:

Let's make each of those unlabeled angles be angle y.

We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.

The three interior angles of any triangle add to 180

44+y+y = 180

2y+44 = 180

2y = 180-44 ... subtracting 44 from both sides

2y = 136

y = 136/2 ... divide both sides by 2

y = 68

Once we know y, we can find x

x+y = 180 ... since the adjacent angles form a straight line

x+68 = 180

x = 180-68 ... subtract 68 from both sides

x = 112

The following inequality in slope-intercept form.

y≤-4x-15

Slope intercept form is y=mx+ c

what is a coordinate in geometry?

Coordinates are two numbers (Cartesian coordinates), or every so often a letter and a range of, that discover a particular point on a grid, called a coordinate aircraft. A coordinate aircraft has 4 quadrants and two axes: the x axis (horizontal) and y axis (vertical).

what is coordinate geometry instance?

In coordinate geometry,  lines are parallel if their slopes (m) are equal. for instance: the line y = ½ x - 1 is parallel to the line y = ½ x + 1 due to the fact their slopes are both the identical.

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A Venn diagram is a graphical representation of all possible logical relationships between a finite collection of sets. Venn diagrams are used to visualize how different sets overlap and the relationship between different groups of objects.

Venn diagrams are often used in statistics and probability to illustrate the relationship between different events.

In the context of probability, events A, B, and C are considered independent if the occurrence of one event does not affect the probability of the other events occurring. In other words, the probability of each event is independent of the other events.

To create a Venn diagram that illustrates three independent events A, B, and C, you would first draw three circles that are not overlapping.

Each circle represents one of the three events. Next, you would label each circle with the name of the corresponding event. In order to make the size of each circle proportional to the probability of the event occurring, you would adjust the size of each circle according to the probability of that event.

The larger the probability, the larger the circle. Finally, you would indicate the area of overlap between each pair of events. Because the events are independent, there should be no overlap between any of the circles. The Venn diagram would look something like this: In summary, to illustrate three independent events A, B, and C using a Venn diagram, you would draw three non-overlapping circles that represent each event and adjust their size to be proportional to the probability of that event.

There should be no overlap between any of the circles since the events are independent.

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Answer:4.62x10^13

Step-by-step explanation: