it is easier to get a precise estimate of the binomial parameter when π is near 0 or 1 than when it is near 1/2. explain why.

35⁰

To solve for x, we need to find the sum of the interior angles of the hexagon and equate it to the known sum for a convex hexagon, which is 720°.

The sum of the interior angles is:

x° + x° + (2x - 3)° + (3x + 7)° + (7x - 12)° + (6x + 28)° = 720°

Expanding:

20x + 20 = 720

Subtracting 20 from both sides:

20x = 700

Dividing both sides by 20:

x = 35

So the value of x is 35.

The value represented by the 5 in the hundred place is 1/10 times the value of 5 in the thousand place

A digit is the symbol that represents a number in a numbering system and if combined with others it is called a quantity.

We make the decomposition of the value  5,516, we have:

Unit of one thousand - hundred - ten - unit

5516

5000 Thousand

500 hundreds

10 tens

6 ones

The value of 5 in the thousand place is 10 times the value of the 5 in the hundred. It is the same to say that the 5 in the hundred is 1/10 times the value of 5 in the thousand place

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Answer:   11/20

Step-by-step explanation:

55% = 55/100 = 11/20

Observing the two system of equations we can conclude that the values of x and y that represents the given conditions are: (15, 5). Hence, option D is the correct answer.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

The two-given system of equations are:

−y ≤ 3x + 4

−3x + 3y ≤ −9

Isolating the value of y in equation 2 we have:

−3x + 3y ≤ −9

3y ≤ 3x - 9

y ≤ x - 3

The first equation can also be written as:

−y ≤ 3x + 4

y ≥ - 3x - 4

Thus the two equations become:

y ≤ x - 3

y ≥ - 3x - 4

Observing the two equations we can conclude that the values of x and y that would be needed to satisfy the given conditions are: (15, 5). Hence, option D is the correct answer.

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The breadth and length is 64m and 74m

breadth=x

length=x+10

perimeter for 3 rounds=3y

3y*50=13800

y(perimeter)=276

2(l+b)=286

2(x+10+x)=276

2(2x+10)=276

4x+20=276

4x=276-20

x=256/4

x=64

breadth=64m

length=74m

The complete question is,

rectangular land is 10m longer than its breadth cost of fencing around it is 3 rounds at rs 50 per meter is rs 13800. find length and breadth

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The breadth and length of the land is 64m and 74m.

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To find the height the ladder reaches on the wall, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the height the ladder reaches on the wall "h." Then we have a right triangle with sides h, 7 (the distance from the wall), and 12 (the length of the ladder).

Using the Pythagorean theorem, we have:

h^2 + 7^2 = 12^2

Solving for h:

h = sqrt(12^2 - 7^2) = sqrt(144 - 49) = sqrt(95) = 9.746781

Rounding to two decimal places, the ladder's height on the wall is 9.75 feet.

The Pythagorean theorem is a mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The theorem can be written as an equation:

a^2 + b^2 = c^2,

Where c is the hypotenuse length, and a and b are the lengths of the other two sides.

The Pythagorean theorem has numerous applications in mathematics, physics, engineering, and other fields and is considered one of the most important theorems in mathematics.

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Answer:

y = 1/10x - 1

Step-by-step explanation:

Slope-intercept form:  y = mx + b

y + 2 = 1/10 (x + 10)

y + 2 = 1/10x + 1

y = 1/10x - 1

Answer:

The area of the square is the side × side

We have the area

[tex]A = x^2-12x+36\\A = (x-6)^2\\A = (x-6)(x-6)[/tex]

The length of one side of the square represents [tex]x -6[/tex]

The distance from the top left corner of the foundation to the bottom right corner is 27m.

We have ,The distance from top left corner of the foundation to the bottom right corner is equal to the diagonal of the rectangle.

so we can form a triangle and use Pythagoras Theorem,

D² = L² + W²

We have,

L = 20m

W = 18m

Putting the value in equation,

D² = 20² + 18²

D² = 400 + 324

D² = 724

D = 27 m

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides. Look at the triangle ABC, where BC² = AB² + AC² is present. The base is represented by AB, the altitude by AC, and the hypotenuse by BC in this equation.

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The solution of the given linear inequality will be  -10/3 <= t <= -2.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given inequality is -2 I-3t-8I <=-4

So there are two inequalities 1. -2+3t+8<=-4 2. -2-3t-8<=-4

1. 3t+6<=-4   2.-3t-10<=-4

1. t>=-10/3    2. t<=-2

Hence,

          The solution of the given linear inequality will be  -10/3 <= t <= -2.

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For per unit scoops of powdered 2 cups of Water is Needed.

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given,  Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.

We have to find how many cups of water should he use with 6 scoops of fruit mix

Let "n" be the number of cups required for 6 scoops of fruit mix

3 cups of water ⇒ 1.5 scoops of fruit mix.

Then, n cups of water ⇒ 6 scoops of fruit mi

So, by cross multiplication,

6 * 3 = n *1.5

n = 12

Ryan has to use 12 cups of water for 6 scoops.

thus,

For per unit scoops of powdered 2 cups of Water is Needed.

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The probability of choosing $11 dollar bags from a total of 6 bags is 1/6.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability, a real-valued function, defined over the sample space of a random experiment, is called a random variable. That is, the values of the random variable correspond to the outcomes of the random experiment. Random variables could be either discrete or continuous.

The probability of winning $11 = Probability of choosing $10 bag * Probability of choosing $1 bag

The probability of choosing a $1 bag first = 5/6

Probability of choosing $10 bag second  = 1/5

Therefore the probability of choosing $11 dollar bags = 1/5 * 5/6 = 1/6

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Value of d = -8/3

The slope of a line is defined as the change in vertical coordinate with respect to the change in horizontal coordinate of that line.

Given,

Slopes of perpendicular lines are 3/4 and d/2

When two lines are perpendicular, product of their slopes = -1

3/4 × d/2 = -1

3d/8 = -1

d = -8/3

Hence, -8/3 is the value of d.

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The width of the rectangle is 90.5cm

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

The area of a rectangle is is expressed as A = l×w

where l is the length and w is the width

The area of a rectangle is 32³

l = 4 × w

l = 4w

therefore A = 4w × w

32³ = 4w²

w² = 32³/4

w² = 8192

w = √ 8192

w = 90.5 units

Therefore the width of the rectangle is 90?5cm

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Answer:

Sqrt92

9.6 or rounded to the nearest whole #, 10

Step-by-step explanation:

The probability of grabbing 2 consecutive orange pieces is approximately 0.101.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The probability of grabbing 2 consecutive orange pieces without replacement is calculated as:

[tex]\frac{30}{100}[/tex] × [tex]\frac{29}{99}[/tex] = 0.090/0.9 = 0.101010101...

Therefore, the probability of grabbing 2 consecutive orange pieces is approximately 0.101.

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Answer:

question is not clear. what do you want to ask?

Step-by-step explanation:

Answer:

1/10 or 0.1 or 10%

Step-by-step explanation:

[tex] \frac{1}{5} \times \frac{1}{2} = \frac{1}{ 10 } [/tex]

Answer:

[tex]sec^{2} (x)csc(x)-tan^{2}(x)[/tex]

Step-by-step explanation:

use the way of basic trigonometric identity to do it

which get1/sin(x)=csc(x)

i hope that help

braineist

thanks

Answer:

P= 9.84t

Step-by-step explanation:

solve for t

t =25/246 P

Answer:x=-9 I hope this helps

Step-by-step explanation:

8x-5=53

Move the constant to the right-hand side and change its sign

Like this

-5x=53-8

Subtract the numbers

-5x=45

Divide both sides of the equation by 5

-x=9

Change the signs on both sides of the equation which will be

x=-9

There is a ''negative correlation'' in the data set.

Hence, Option B is correct.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, By the graph;

The graph shows points that are grouped together and are decreasing.

And, The gathered data shows that there is a possibility to get correlation between them.

Thus, The group of data is decreasing.

So, the correlation of the data will be negative in nature.

Therefore, It can be said that the "There is a negative correlation in the data set".

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Answer:

To solve this problem, we first need to determine the probability of events A and B. Event A is the event "odd", so the probability of event A is 3/6, or 1/2. Event B is the event "5", so the probability of event B is 1/6.

Next, we can use the rules of probability to determine the probability of the given events. The probability of A and B occurring is the probability of event A multiplied by the probability of event B, so the probability of A and B occurring is 1/2 x 1/6 = 1/12.

The probability of either A or B occurring is the probability of event A plus the probability of event B minus the probability of A and B occurring, so the probability of either A or B occurring is 1/2 + 1/6 - 1/12 = 5/12.

The probability of A or B not occurring is the probability of the complement of A or B, which is the probability of neither A nor B occurring. The probability of neither A nor B occurring is 1 - (1/2 + 1/6 - 1/12) = 1/12.

The probability of A given B is the probability of A and B occurring divided by the probability of B occurring, so the probability of A given B is 1/12 / 1/6 = 1/2.

Therefore, the probabilities of the given events are 1/2, 5/12, 1/12, and 1/2 respectively.

When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

Transformations are a catch all term for four different kinds of changing the location and/or shape of a circle, line, or geometric figure. The words used are the Pre-Image, which describes the shape of the object at first, and the Image, it describes the final shape and location of the object following alteration. Translations, mirrors, and dilations are the three different types of transformations. A function can be transformed in two different ways: vertically (which affects the y-values) and horizontally (affects the x-values). The equations of a function illustrated below includes the four conversion variables (a, b, h, and k). altering the log Consider the record of each observation as an illustration. multiplying by the square root each term's square root .

given

Initial Reflection Axis = ( -5 , -2 )

the axis of the x coordinate contracts to 1/2 (y )

= -1/2f ( y )

When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

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The equation of the line is y = -4x + 7.

The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1). Therefore, the slope of the line in question is -4, as given. To find the equation of the line, we must use the slope-intercept form, y = mx + b.

We know that the line passes through the point (1, 3). We can use this point to solve for b, the y-intercept. To do so, we will substitute the x- and y-coordinates of the point into the equation, and solve for b. We get 3 = (-4)(1) + b, so b = 7.

Therefore, the equation of the line is y = -4x + 7.

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Probability of likely or unlikely is a foot length longer than 15.5 inches, P(X>15.5) is equals to the 0.0015.

We have a probability curve for male's foot length. Let "X" be a random variable for representing the foot length. See the above figure, and notice that we have to solve the problem in which a particular interval of values of a normal random variable is present and we have to asked to determine a probability. That is we have to determine the probability for which the foot length greater than 15.5 inches. Using probability notation, we may write

0.68 = P(μ− σ<X< μ + σ)

0.95 = P(μ−2σ<X<μ+2σ)

0.997= P(μ−3σ<X<μ+3σ)

since 0.68 is the probability of being within 1 standard deviation of the mean, (1 - .68) / 2 = 0.16 is the probability of being further than 1 standard deviation below the mean (or further than 1 standard deviation above the mean). The probability that foot length is between 6.5 and 15.5 is 0.997, and as we know, P(X> 15.5) = 1 - P(X ≤ 15.5) therefore the remaining two tails together have probability, = 1 - 0.997 = 0.003.

P(X > 15.5) = 0.003 / 2 = 0.0015.

Hence, the required probability is 0.0015.

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Complete question:

025 025 6.5 9.5 11 12.5 15.5 Now you should try few. (Use the figure that is just given above ) How likely or unlikely is foot length longer than 15.5 inches? Extremely unlikely; since the probability of being longer than 15.5 is only Select amswer There probability of 0.5 that male's foot is shorter than Select ansiver Question Help: D Post to forum.

The volume of the water in the pool is 942 cubic feet.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Plug the given values into the above formula and solve for volume.

V = π × r² × h

V = 3.14 × ( 10ft )² × 3ft

V = 3.14 ×  100ft² × 3ft

V = 942 ft³

Therefore, the volume is 942 cubic feet.

Option B) 942 cubic feet is the correct answer.

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Using Pythagoras theorem, the perimeter of the figure is 34m

To determine the perimeter of the figure, we can simply add up all the sides and the undetermined sides, To find the unknown sides, we can use Pythagoras theorem to find the hypothenuse of the right-angle triangle.

Assuming the hypothenuse = x

x² = 4² + 3²

x² = 16 + 9

x² = 25

x = √25

x = 5

The perimeter of the figure can be calculated as;

P = 6m + 8m + 10m + 5m + 5m

P = 34m

The perimeter of the figure is 34m

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The average velocity of a hiker that climb 0.9 km in 45 minutes is 1,2 km/hour.

Velocity is a derived quantity derived from the principal quantities of length and time, where the formula for speed is distance divided by time. Velocity is a vector quantity that indicates how fast an object is moving. Average velocity is the ratio between the displacement that occurs in an object with the time it takes to make the move.

Given,

Distance traveled = [tex]\frac{9}{10}[/tex] of 1 kilometer = 0.9 km

Time = [tex]\frac{3}{4}[/tex] of 1 hour = 0.75 hours

Velocity = [tex]\frac{distance}{time}[/tex]

Velocity =  [tex]\frac{0,9 km}{0,75 hours}[/tex]

Velocity = 1,2 kph

So that the velocity taken by the hiker is 1,2 kph.

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