Find the probability of exactly four successes in five trials of a binomial experiments in which the probability of success is 40%

To convert tablespoons to cups divide the number of tablespoons by 16.

Converting tablespoons to cups involves a simple mathematical calculation. There are 16 tablespoons in a cup, so to convert tablespoons to cups, you need to divide the number of tablespoons by 16.

Here's the formula:

Cups = Tablespoons ÷ 16

Alternatively, you can use a conversion chart to convert tablespoons to cups. Here's a quick reference chart that shows common conversions:

1 tablespoon = 1/16 cup

2 tablespoons = 1/8 cup

4 tablespoons = 1/4 cup

8 tablespoons = 1/2 cup

16 tablespoons = 1 cup

Therefore, the steps to convert the tablespoons to cups has been explained

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The square root of 4761 is found to be 69.

If there is a number a, and there is another number b. Now, if we multiply a with a and we get the number b, then we say that the number a is the square root of the number b.

It can be written as,

a = √b

This sign "√" is called the sign on under root. So, now we ae to find the square root of the number 4761,

First we will find the factor of the number 4761 and then make the pair of two each and then multiply to find the root.

4761 = 3 x 3 x 23 x 23

Now, 3 x 23

So, the square root of 4761 is 69.

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25.44cm^2 is the area of the composite figure,

A composite shape is a shape that is made up of two or more figures.

The given shape is made up of circle and triangles. The area of the shaded region is expressed as:

Area = area of semicircle - area of triangle

Area of semicircle = πr²/2

Area of semicircle = 3.14(6)²/2

Area of semicircle = 3.14 * 18

Area of semicircle = 56.62 cm^2

For the triangle;

Area of triangle = 1/2absin60

For the value of a;

a/12 = cos60

a/12 = 1/2

a = 6

Area of triangle = 1/2(12)(6) sin60

Area of triangle = 31.17cm^2

Area of the shaded portion = 56.62 - 31.17

Area of the shaded portion = 25.44cm^2

Hence the area of the shaded portion is 25.44cm^2

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Answer:

589

Step-by-step explanation:

divide the money they spend on 3 weeks by 3 zo you will get how much they spend one week

1767/3=589

With given expression, Fiction books will be calculated as 12.

What are expressions exactly?

In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.

Now,

According to given conditions

Let non-fiction books=n

then fiction books are=3/8n

given that n+3/8n=44

11n/8=44

n=32

then 3/8n=12

hence,

        Fiction books will be 12.

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Right Question:-

   In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

The height of the flagpole is approximately 10.05 meters.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to measurements of angles and distances.

We want to find the height h of the flagpole. We can use similar triangles to set up an equation involving the distances and heights in the diagram. In particular, we have two similar triangles: one formed by the mirror, Chloe's eyes, and the top of the flagpole, and another formed by the mirror, Chloe's feet, and the bottom of the flagpole. These triangles are similar because they have the same angles (due to the reflection in the mirror) and share one angle (the one formed by Chloe's eyes, the mirror, and the flagpole). Therefore, we can set up the following proportion:

h / (d + 1.15) = h / 1.1

where d is the distance from the mirror to the base of the flagpole. Solving for h, we get:

h = (1.1 / (d + 1.15)) * h

Cross-multiplying, we get:

h * (d + 1.15) = 1.1 * h

Simplifying, we get:

d = (1.1 / h) - 1.15

Now we can use the distance of 8.85 meters to set up another proportion involving the similar triangles:

h / d = (h + 1.15 + 1.1) / 8.85

where h + 1.15 + 1.1 is the total height of the triangle formed by the mirror, Chloe's eyes, and the top of the flagpole. Solving for h, we get:

h = (8.85 * d) / (d + 2.25)

Substituting the expression for d that we found earlier, we get:

h = (8.85 * ((1.1 / h) - 1.15)) / (((1.1 / h) - 1.15) + 2.25)

Simplifying and solving for h, we get:

h ≈ 10.05 meters

Therefore, the height of the flagpole is approximately 10.05 meters.

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Answer:

The answer is 92.25. Not the first answer from the guy that answered "10.05"

Step-by-step explanation:

These are the photos of the DeltaMath I worked and I decided to put this photo as an evidence that I didn't stole and a much clearly explanation for some people that doesn't understand well!!^^

The required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

Often, the bases are shaped like circles.

The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

So, the surface area of the soup can that needs to be painted will be:

Surface area formula: 2πrh+2πr²

Now, insert values as follows:

A = 2πrh+2πr²

A = 23.14*4.5*13+2*3.14*4.5²

A = 494.8 cm²

Therefore, the required surface area of the soup can which is in cylindrical shape and needs to be painted is approx 494.55 cm².

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Correct question:

Jacque is using a soup can for a school project and wants to paint it. If the can is 13 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14 and include the top of the soup can.

A. 826.61 cm2

B. 494.55 cm2

C. 390.15 cm2

D. 144.50 cm2

Answer:

Step-by-step explanation:

answet 494.55

The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035

This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.

To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).

Using the normal approximation to the binomial distribution, we have:

μ = np = 1000 × 0.42 = 420

σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08

Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.

P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035

Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.

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The surface area of the square base pyramid is 736 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.

here, we have,

Surface area = A + 1 / 2 ps

where

A = base area

p = perimeter of the base

s = slant height

Therefore,

A = 16² = 256 cm²

p = 4(16) = 64 cm

s = 15 cm

surface area = 256 + 1 /  2 × 64 × 15

surface area = 256 + 480

surface area = 736 cm²

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Answer: 69, 420

Step-by-step explanation:

grrrr

Measures of centre are used to describe the typical or average value of the data, while measures of spread describe the variability or dispersion of the data around the centre. Some common measures of centre and spread include:

Mean: the arithmetic average of the data. It is appropriate for symmetric distributions without outliers.

Median: the middle value of the data. It is appropriate for skewed distributions and distributions with outliers.

Mode: the most common value in the data. It is appropriate for distributions with a prominent peak or mode.

Range: the difference between the maximum and minimum values in the data. It is appropriate for describing the spread of the data, but it can be influenced by outliers.

Interquartile range (IQR): the range of the middle 50% of the data, from the 25th percentile (Q1) to the 75th percentile (Q3). It is appropriate for describing the spread of the data, and it is less influenced by outliers than the range.

Standard deviation: a measure of the average distance of the data from the mean. It is appropriate for symmetric distributions without outliers, and it is used to describe the spread of the data in the context of the mean.

The choice of which measures to use depends on the characteristics of the distribution and the goals of the analysis.

In general, it is important to consider multiple measures of centre and spread in order to obtain a complete understanding of the distribution of the data.

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The selling price of the motorcycle is Rs 1,19,400. To calculate this, we can use the formula Selling Price = Original Price - (Original Price × Loss Percentage).

In this case,

To calculate the selling price of an item when a loss percentage is given, we first need to calculate the amount of the loss. This can be done by multiplying the original price by the loss percentage. Then, we subtract the loss amount from the original price to get the selling price.

In this example, the original price of the motorcycle was Rs 135000, and the loss percentage was 12%. Multiplying 135000 by 0.12 gives us a loss amount of 16200, and subtracting this from 135000 gives us a selling price of 119400. This calculation can be used to quickly and accurately determine the selling price of an item when a loss percentage is given.

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The BSA or Body surface area can be calculated by the formula is as follows: Body Surface Area= 0.007184 x (Height(m)^0.725) x (Weight(kg)^0.425)

Body surface area was developed as a metric to be used as such in the modulation of many various pharmaceutical treatments and as a standard index to various physiological measurements like glomerular filtration rate and cardiac output.

The Du Bois and its formula is one of the most widely used methods to determine a person's body surface area, in despite the fact that there are actually numerous variations on this concept. In the measurement of physiological and pharmacological data, the body surface area metric is much highly valued. The most typical reference point for chemotherapeutic drug dosing is body surface area.

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Ascending order of the numbers are,

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

The numbers which are arrange in order to least to greatest number is called Ascending order.

We have to given that;

All the numbers are,

⇒ |-2 1/4| , -1 1/4,  3/4,  -2 1/4,  |1 1/4|,  |-1 3/4|

Now, We can simplify each number as;

⇒ | - 2 1/4 | = 2 1/4

                 = 9/4

                 = 2.15

⇒ - 1 1/4 = - 5/4

            = - 1.25

⇒ 3/4 = 0.75

⇒ - 2 1/4 = - 9/4

             = - 2.25

⇒ | 1 1/4| = 5/4

              = 1.25

⇒ | - 1 3/4| = 7/4

                = 1.75

Thus, Ascending order of the numbers are,

⇒ - 2.25, - 1.25, 1.25, 1.75, 2.15

⇒ - 2 1/4, - 1 1/4, | 1 1/4| , | - 1 3/4|, | - 2 1/4 |

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Answer:

La respuesta correcta es (C) 0,39 ± 1,96 (√(0,39)(0,61)/500).

Para estimar el intervalo de confianza al 90%, necesitamos encontrar el valor crítico de Z correspondiente al nivel de confianza del 90%. Para un nivel de confianza del 90%, el valor crítico de Z es 1,96.

La fórmula para el intervalo de confianza es:

p ± Z*√(p(1-p)/n)

Donde:

p es la proporción observada en la muestra

Z es el valor crítico de Z para el nivel de confianza deseado

n es el tamaño de la muestra

Sustitución

0,39 ± 1,96 (√(0,39)(0,61) /500)

lo cual nos da un intervalo de confianza del 90% para la proporción de personas que ven cómo se brinda por su raza.

Step-by-step explanation:

espero te sirva, si no puedes español traducelo

The rate of change of the circle diameter with respect to the radius is a constant value of 2.

The diameter of a circle is twice the radius, so we can write:

Diameter = 2 * Radius

To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:

diameter/d(radius) = d(2 * radius)/d(radius)

The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:

diameter/d(radius) = 2

Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.

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One liter equals 1000 milliliters.

Answer:

One liter equals 1000 milliliters.

Step-by-step explanation:

A liter (L) and a milliliter (mL) are both units of volume in the metric system. One liter is defined as the volume of a cube with edges that are 10 centimeters in length, which is equivalent to 1000 cubic centimeters (cm^3). A milliliter, on the other hand, is equal to one-thousandth of a liter, which means there are 1000 milliliters in one liter.

In other words, if you have one liter of water in a container, you could pour it into a smaller container that measures in milliliters, and it would fill exactly 1000 mL.

Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)

Fractions that represent the same value

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (35) by the same natural number, ie, multiply by 2, 3, 4, 5, 6... Important: 1830 looks like a fraction, but it is actually an improper fraction. 610 is equivalent to 1830 because 3 × 25 × 2 = 610.

Hence, Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)

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The slope of the tangent line to the graph g(x) = 2x⁴ at (-2,32) is -64.

Given the function in the question;

g(x) = 2x⁴

Slope of the tangent line at (-2,32) = ?

Since 2 is constant with respect to x, the derivative of 2x⁴ with respect to  x will be;

2 d/dx [x⁴]

Now, differentiate using power rule.

d/dx[ xⁿ ] = nxⁿ⁻¹ where n = 4

2( 4x³ )

8x³

Next, evaluate the derivative at x = -2

8( -2 )³

8 × -8

-64

Therefore, the slope of the tangent line is -64.

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Regression line is used to make predictions about the values of y for a given x-value and to determine the strength of a linear association between two variables. The correct answer is option D.

The regression line is a straight line that best represents the relationship between two variables. It is commonly used in statistics and data analysis to make predictions about one variable based on the other variable. The regression line can also be used to determine the strength of the linear association between the two variables.

Option A is correct because the regression line can be used to make predictions about the values of y for a given x-value. Once the regression line has been calculated, it can be used to estimate the value of y for any given value of x. This is particularly useful in situations where it is not feasible or practical to obtain the actual value of y for a given x.

Option B is also correct because the regression line provides a measure of the strength of the linear association between two variables. The slope of the regression line indicates the direction and strength of the relationship between the two variables.

A positive slope indicates a positive relationship, while a negative slope indicates a negative relationship. The closer the slope is to zero, the weaker the relationship between the two variables. Therefore, Correct option is D - Both A and B.

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Answer: 7.5

Step-by-step explanation:

AREA OF TRIANGLE is (Base times Height) divided by two

SO,

2.5x6=15

15/2=7.5

BTW, I am on the same level- (level F) as you on Iready

Answer: 8x^3 - 18x^2 + 11x - 3

Distribute and combine like terms

Answer:

-10 - 4i

Step-by-step explanation:

We can rewrite the equation as (by getting rid of parentheses):

-8 + 3i - 2 - 7i

Now, we can add/subtract the values:

(-8-2) + (-7i+3i)

= -10 - 4i

Answer: x = 3

Step-by-step explanation: 3 + 3 = 6 ; 30 divided by 6 = 5.

Answer:

x = 3

Step-by-step explanation:

[tex]\frac{30}{3+x}[/tex] = 5 ( models the statement )

multiply both sides by 3 + x

30 = 5(3 + x)

30 = 15 + 5x ( subtract 15 from both sides )

15 = 5x ( divide both sides by 5 )

3 = x

One inch is equal to 2.54 centimeters on the ruler, so, to read on the ruler, every 2.54 cm will be equal to one inch.

Normally a ruler scale if of length 15cm. we have certain marks on the ruler to read the rules of the scale/ruler.

Now, from the standard unit conversion methods, we know, one inch is equal to about 2.54 centimeters.

Now, what we to is, to read the ruler, we mark every 2.54cm on the ruler and that becomes equal to one inch. On a scale of 15cm there will be 6 inches on the ruler.

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Answer:

Arranging the temperature data in descending order, we get:

45, 44, 44, 43, 42, 42, 41, 40, 40, 40, 39, 38, 38, 37, 36

The range of a set of data is the difference between the highest and lowest values.

Here, the highest temperature is 45°C and the lowest temperature is 36°C. Therefore, the range is:

Range = highest value - lowest value = 45°C - 36°C = 9°C

So the range of the temperature data is 9°C.

The different ways that the people from can randomly sit down in adjacent seats is 138240 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by nCr

There are 2 people from California, so they can be arranged in 2! = 2 ways.

There are 4 people from Mexico, so they can be arranged in 4! = 24 ways.

Now we can treat the group of Californians and the group of Mexicans as a single block of 6 people (2 Californians and 4 Mexicans), which we can arrange with the 3 people from England. There are 3 + 1 = 4 blocks of 6 people that we can form (one for each possible position of the block), and within each block, there are 6! ways to arrange the people.

Therefore, the total number of arrangements that satisfy the given conditions is:

= 2! * 4! * 4 * 6! = 2 * 24 * 4 * 720

= 138,240 ways

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The method to convert milimeter to kilometre will be the formula - quantity in milimeter divided by 10⁶.

We know that mm represents milimeter and km represents kilometres. Now, relating the two quantities as follows -

1 kilometre is equal to 10⁶ milimeter

So, converting milimeter to kilometres using the above mentioned relation.

10⁶ milimeter is 1 kilometre

So, 1 milimeter in kilometre will be = 1/10⁶ kilometres

Now, convert the 5000 milimeter to kilometres for practice.

So, the formula will be -

Distance from milimeter to kilometre = 1/10⁶ kilometres

The required distance is = 5000 /10⁶

Performing division on Right Hand Side of the equation

The required distance = 0.005 kilometres

Hence, 5000 milimeter will be 0.005 kilometre.

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Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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As the point (2,5)is represented on the graph, the  point  (0,0) also belongs to  the given  graph.

Firstly, we know that the point (0,0) is the origin, which is the point where the x- and y-axes intersect. This means that the graph must have both x- and y-axes, and it is likely to be a Cartesian coordinate system.

Secondly, we know that the point (2,5) is located on the graph. Since (0,0) and (2,5) do not lie on a vertical or horizontal line, we cannot determine the shape of the graph with certainty. However, we can say that the graph is not a simple straight line or a perfectly circular shape, since those shapes would only intersect the axes at one or two points respectively.

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