11. Assume that when adults with smartphones are randomly​selected, 57​% use them in meetings or classes. If 20 adult smartphone users are randomly​ selected, find the probability that exactly 15 of them use their smartphones in meetings or classes.
The probability is _____
​(Round to four decimal places as​ needed.)
12. Assume that when adults with smartphones are randomly​selected, 58​% use them in meetings or classes. If 10 adult smartphone users are randomly​ selected, find the probability that at least 7 of them use their smartphones in meetings or classes.
The probability is_____
​(Round to four decimal places as​ needed.)
13. A survey showed that 76​% of adults need correction​(eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 8 adults are randomly​ selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight​correction?
The probability that no more than 1 of the 8 adults require eyesight correction is _____.
​(Round to three decimal places as​ needed.)

Reasonable prediction for the number of times he will get a completely striped sock is 15 times.

Random numbers are used to construct probability samples from a population and make statistical inferences from a survey, and also to decide which treatment should be applied to the various physical units in an experiment.

Daniel is selecting a sock from his drawer at random.

If Daniel does this 60 times.

To determine the reasonable prediction for the number of times he will get a completely striped sock.

Now,

There are 8 socks in total, including 2 stripped socks.

So, the probability of picking a stripped socks at random is 2/8 = 1/4

60 times × 1/4 = 15 × 4 times × 1/4

                       = 15 times

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The stochastic process w's probability density function will look like this; W = 3: P(HHH) = (2/3)3 = 8/27

P(HHT) + P(HTH) + P(THH) = 3(2/3)2(1/3) = 12/27 = 4/9 W = 2

P(HTT) + P(THT) + P(TTH) = 3(2/3)(1/3) when W = 1.

3 = 6/27 =2/9

W = 0: P(TTT) = (1/3)

3 = 1/27

How does one calculate the probability of a random vector?

Step 1: Create a list of all simple events in the sample space. Step 2: Determine the likelihood of each simple event. Step 3: Determine the value with each simple event by listing all unique combinations for random variable X. Step 4: For each possible value of k, find all simple occurrences for which X = k.

When three coins are tossed at the same time, what is the likelihood of getting all heads?

When three coins are tossed, the positive outcome is HHH. As a result, the required probability equals 1/8.

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20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

20 kg =  20 × 2.20462

Multiply the numbers

= 44.0925 pounds  ( rounded to four decimal places )

Therefore, 20 kg is 44.0925 pounds

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The linear correlation coefficient for a sample is always b) between -1 and 1, inclusive

The linear correlation coefficient (also known as Pearson's correlation coefficient) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, with negative values indicating a negative correlation (inverse relationship), positive values indicating a positive correlation (direct relationship),

And a value of zero indicating no correlation between the variables.

The answer is (b) between -1 and 1, inclusive

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For sum of all angles of polygon=900°, no. of sides will be 7.

What exactly is a polygon?

Polygons are two-dimensional geometric objects that have the same number of sides on all sides. The sides of a polygon are made up of straight line segments linked end to end. As a result, the line segments of a polygon are referred to as sides or edges. The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result. A triangle of a polygon. A circle is a planar figure, however it is not regarded a polygon since it is curved and lacks sides and angles. As a result, we may argue that all polygons are 2d forms, but not all two-dimensional figures are polygons.

For a polygon with n no. of sides

sum of all interior angles=(n-2)*180°

Now,

As given the sum of all angles=900°

then number of sides of a polygon will be

(n-2)*180=900

n-2=5

n=7

Hence,

          For sum of all angles of polygon=900°, no. of sides will be 7.

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Answer:

Option B

Step-by-step explanation:

Let:

w = number of withdrawals

C = Monthly cost

For Bella:

$3 = Fixed monthly charge

$1.50 × w = Amount charged for every withdrawal she makes

∴Linear equation describing her monthly cost:

C = 3 + 1.5w

For Justin:

$0 = Fixed monthly charge

$2 × w = Amount charged for every withdrawal he makes

∴Linear equation describing his monthly cost:

C = 2w

∴System of equations:

      C = 3 + 1.5w

      C = 2w

∴Option B

Forming linear equations, the cost of a t-shirt and a notebook will be $1 and $6 respectively.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that

club A sold 2 t-shirts and 3 notebooks, and made $20.

Club B sold 2 t-shirts and 1 notebook, for a total of $8.

Let x and y be the cost of t-shirt and notebook respectively

then 2x+3y=20--->1

and 2x+y=8 --->2  will be the equations formed.

Now subtracting 2 from 1

we get 2x-2x+3y-y=20-8

2y=12

y=6

then  2x+6=8

x=1

Hence,

           the cost of a t-shirt and a notebook will be $1 and $6 respectively.

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The mean and variance of the number x of unusable fasteners in a randomly selected box are about 150 and 150 respectively.

Poisson distribution is a distribution function useful for characterizing events with very low probabilities of occurrence within some definite time or space. It is used when the number of trials is very large and the probability of success is comparatively small.

In Poisson distribution, the mean is defined as:

λ = np

where n = number of items and p = probability of success

Given: n = 5000 and p = 3/100 = 0.03

Thus,  λ = np = 5000 * 0.03 = 150

Since the mean and variance are equal in Poisson distribution. Thus, the variance (σ²) =  150

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The difference between relative frequency and cumulative relative frequency is that relative frequency is the ratio of the frequency of a particular value in a dataset to the total number of values, expressed as a percentage. Cumulative relative frequency is the sum of all relative frequencies up to a certain point in the data set.

For example, if a data set has 8 values and 4 are the same, the relative frequency would be 50%. Cumulative relative frequency would be 50% at this point since it is the sum of all relative frequencies up to this point in the data set. If there were another 4 of the same values after this point, the relative frequency would remain at 50%, but the cumulative relative frequency would increase to 100% since it includes all previous relative frequencies.

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Answer:

Step-by-step explanation:

The value of 104 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 229.3 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 104 x 2.20462262184878

= 229.3 pounds or lbs.

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The size of the state of Colima is 519,100 square metres.

Confusion results from the fact that 1 metre squared and 1 metre by 1 metre squared are the same. Yet, square metres and metres squared are fundamentally different in all other situations, therefore it is important to use care when referring to either one.

First, it is necessary to convert square kilometres into square metres.

100 hectómeters cuadrados make up one kilómetro cuadrado.

Hence, the state of Colima is as follows in square metres:

519,100 hectómetros cuadrados (5,191 kilómetros cuadrados x 100 hectómetros cuadrados/kilómetro cuadrado)

Hence, the size of the state of Colima is 519,100 square metres.

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Your systolic and diastolic blood pressure are used by the Mean Arterial Pressure (MAP) calculator to calculate your mean arterial pressure.

In medicine, the term mean arterial pressure (MAP) refers to a person's average blood pressure throughout one cardiac cycle. On MAP, it is observed that both systemic vascular resistance and cardiac output have an impact.

Systolic and diastolic blood pressure can be used in a formula to calculate mean arterial pressure, or it can be measured directly. A blood pressure cuff provides the information required to estimate the mean pressure in the least invasive way possible.

A comparable method is to measure blood pressure with an oscillometric device, which computes the systolic and diastolic values using only a cuff and a microprocessor. Following the invasive insertion of an arterial catheter with a transducer, the waveform that is left behind establishes the mean pressure.

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The missing angles of the shape are

For a rhombus shape, the opposite angles are equal and the sum of the angles are equal to 360 degrees

The four shapes makes a fifth rhombus between them

2 < BIF + 2 < IBJ = 360

2 < BIF + 2 * 54 = 360

2 < BIF + 108 = 360

2 < BIF = 360 - 108

2 < BIF = 252

< BIF = 152

solving for < JBC

2 <JBC + < JBI = 180

< JBC = < IBA

2 < JBC + 54 = 180

2 < JBC = 180 - 54

2 < JBC = 126

< JBC = 63

Solving for < BJD

2 < JBC + 2 < BJD = 360

126 + 2 < BJD = 360

2 < BJD = 360 - 126

2 < BJD = 234

< BJD = 117

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The required it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is  1.99 years.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Let V be the value of the car after ⁿ years. Since the car loses 14% of its value each year, its value can be expressed as:

V = 24885(0.86)ⁿ

We want to find how many years it will take for the value of the car to be half its original amount, which means:

V = 24885/2 = 12442.5

So we need to solve for t in the equation:

12442.5 = 24885(0.86)ⁿ

Dividing both sides by 24885, we get:

0.5 = 0.86ⁿ

Taking the natural logarithm of both sides, we get:

ln(0.5) = ln(0.86ⁿ) = n ln(0.86)

Solving for n, we get:

n = ln(0.5) / ln(0.86) ≈ 1.99

Therefore, it will take about 1.99 years for the car to be worth half its original amount. Rounded to two decimal places, the answer is  1.99 years.

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Answer:

The number in the middle.

Example 1:

2 3 4 5 6

4 is in the middle, 4 is the median.

Example 2:

4 8 2 6 9

Put numbers in order:

2 4 6 8 9

6 is in the middle, 6 is the median.

Example 3:

4 7 2 3 9 8

Put numbers in order:

2 3 4 7 8 9

4 and 7 are in the middle, add them together and divide by 2 to get the median.

(4 + 7) / 2 = 11 / 2 = 5.5

5.5 is the median.

Answer:

[tex]9x^{2} +14x+1[/tex]

Step-by-step explanation:

We need to add these two polynomials together.

The simple way to do this is by adding like terms.

[tex]9x^{2}[/tex] stays the same as there is only one term.

However, we add the integer and the x term together.

So our final answer would be:

[tex]9x^{2} +14x+1[/tex]

Percent difference is a measure of the relative difference between two values, expressed as a percentage.

It is determined as follows:

% difference = |(Value 1 - Value 2) / (Average of Values 1 and 2)| x 100%

where:

Assume that the value of a quantity in 2019 is 100 and that the same amount in 2020 is 120. The percentage difference between these two values is determined as follows:

Percent difference = |(100 - 120) / ((100 + 120) / 2)| x 100%

= |(-20) / (220 / 2)| x 100%

= 9.09%

This signifies that the quantity's value increased by 9.09% between 2019 and 2020. If the percentage difference is negative, it signifies that the quantity's value has fallen by that proportion.

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The study described is a retrospective study.

A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.

In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.

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The coordinates of point V are approximately (0.11, 0.16) to two decimal places.

What is the coordinate point?

The Cartesian coordinates (also called rectangular coordinates) of a point are a pair of numbers (in two dimensions) or a triplet of numbers (in three dimensions) that specified signed distances from the coordinate axis.

Let's call the coordinates of point V (x, y).

According to the problem, point V divides the segment RL in a 3:2 ratio. This means that the distance from R to V is three-fifths of the distance from R to L, and the distance from V to L is two-fifths of the distance from R to L.

We can use the distance formula to find the distance between R and L:

d(R, L) = √[(4 - (-2))² + (1 - 4)²] = √[(6)² + (-3)²] = √(36 + 9) = √45

To find the coordinates of V, we can use the fact that the distance from R to V is three-fifths of the distance from R to L:

d(R, V) = (3/5) * d(R, L) = (3/5) * √45

We can also use the midpoint formula to find the coordinates of the midpoint M of the segment RL:

M = ((-2 + 4)/2, (4 + 1)/2) = (1, 2.5)

Since V divides the segment RL in a 3:2 ratio, we can write:

d(R, V) / d(V, L) = 3/2

Substituting the expressions for the distances, we get:

[(3/5) * √45] / d(V, L) = 3/2

Solving for d(V, L), we get:

d(V, L) = [2 * (3/5) * √45] / 3 = (2/5) * √45

Now we can use the midpoint formula again to find the coordinates of V:

V = (1 + (2/5) * √45)(4, 1) + (1 - (2/5) * √45)(-2, 4)

Simplifying, we get:

V = (1 - (2/5) * √45, 2.5 - (3/5) * √45)

Therefore, the coordinates of point V are approximately (0.11, 0.16) to two decimal places.

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We can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the exponential function as -

f(x) = 8(1/4)ˣ

If the function f(x) is reflected across the {y} - axis, then the new function g(x) will be -

g(x) = f(-x)

So, we can write -

g(x) = 8(1/4)⁻ ˣ

Now, we can write -

g(- 2) = f(2) = 1/2

g(2) = f(-2) = 128

Therefore, we can write the values of the function g(- 2) = 1/2 and

g(2) = 128.

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The big idea in math are abstraction and infinity.

Mathematics is a vast and fascinating subject that involves exploring the concepts of numbers, shapes, patterns, and more. Within this subject, there are several big ideas that serve as the foundation for various mathematical theories and principles. One of the most prominent big ideas in math is that of abstraction.

Abstraction is a concept that allows mathematicians to generalize ideas and create models that can be applied to a wide range of situations. It involves taking a complex problem and breaking it down into smaller, more manageable components that can be easily analyzed and understood. This process often involves using symbols and equations to represent real-world situations and finding patterns and relationships between them.

Another big idea in math is that of infinity. This idea involves exploring the concept of endlessness and how it applies to different mathematical concepts. Infinity plays a critical role in calculus, where it is used to describe the behavior of functions as they approach limits and infinity.

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The probability that at most three bottles will be sold on a randomly selected day is about is 0.569

The probability of an event is a number that indicates how likely the event is to occur.

Given that, the number x of bottles of garden plant fungicide sold by a garden center each day was recorded, we need to find the probability that at most three bottles will be sold on a randomly selected day is about,

The possible values of x is 0, 1, 2, 3, 4, 5, 6 and 7

The probability that at most three bottles will be sold on the randomly selected day will be =

P(x≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

= 0.135 + 0.141 + 0.150 + 0.143

= 0.569

Hence, the probability that at most three bottles will be sold on a randomly selected day is about is 0.569

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Therefore , the solution of the given problem of linear equation comes out to be Emily used 8.1 pints of blue paint to paint her bedroom walls.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous line is usually referred to as a "math equation mixing numerous variables," even though y / y represent independent components. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

If 4/5 of the total paint used is white paint, then 1/5 of the total paint used is blue paint. We can use this information to find the amount of blue paint Emily used.

Let x be the total amount of paint used in pints. Then:

4/5 x = 8.1 (the amount of white paint used)

1/5 x = ?

To solve for the amount of blue paint, we can multiply both sides of the equation by 5:

1/5 x = ?

1/5 x * 5 = ? * 5

x = 40.5

So Emily used a total of 40.5 pints of paint. To find the amount of blue paint, we can multiply the total amount of paint by the fraction that represents the amount of blue paint:

1/5 * 40.5 = 8.1

Therefore, Emily used 8.1 pints of blue paint to paint her bedroom walls.

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The volume occupied by the lower square part of the shed is 4800 cubic ft.

A measurement of three-dimensional space is volume. Several imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.

The volume of the lower part of the shed is given as:

V = (l)(w)(h)

where, l is the length = 20 ft.

w is the width = 20 ft

h is the height = 12 ft

Substituting the value we have:

V = (20)(20)(12)

V = 4800 cubic ft.

Hence, the volume occupied by the lower square part of the shed is 4800 cubic ft.

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The maximum number of people who can go to the amusement park is 6.

To determine the number of people who can go to the amusement park, use the following equation:

Total cost = Parking cost + Admission cost

The total cost cannot exceed $86, the amount of money the friends have. The parking cost is $5 and the admission cost per person is $13.50. Therefore, we can write the following equation:

86 ≥ 5 + 13.5x

To solve for x,  subtract 5 from both sides of the inequality and then divide both sides by 13.5. This gives us the following equation:

x ≤ (86 - 5) / 13.5

x ≤ 6

Therefore, the maximum number of people who can go to the amusement park is 6.

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1/8 in a decimal, divide the denominator by the numerator to get 1/8 as a decimal 1/8 is 0.125.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

1/8

1/2 x 1/2 x 1/2

0.5 x 0.5 x 0.5

0.125

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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Answer: Let the legs of the right triangle be a and b. We know that the radius of the inscribed circle is 4 cm, which means that the inradius is also 4 cm. The inradius is given by:

r = (a + b - c)/2

where c is the hypotenuse, so we can substitute the given values to get:

4 = (a + b - 35)/2

Multiplying both sides by 2, we get:

8 = a + b - 35

Adding 35 to both sides, we get:

a + b = 43

We also know that the area of the triangle is given by:

A = (ab)/2

where a and b are the legs of the triangle. We can use the Pythagorean theorem to relate the legs to the hypotenuse:

a^2 + b^2 = c^2

Substituting the given value for the hypotenuse, we get:

a^2 + b^2 = 35^2

Simplifying, we get:

a^2 + b^2 = 1225

Now we can use the equation for the sum of the legs to solve for one of the legs in terms of the other:

a + b = 43

b = 43 - a

Substituting this expression for b into the equation for the area, we get:

A = (a(43 - a))/2

Simplifying, we get:

A = (43a - a^2)/2

To find the maximum value of the area, we can take the derivative of A with respect to a and set it equal to 0:

dA/da = 43/2 - a = 0

Solving for a, we get:

a = 43/2

Substituting this value into the equation for the area, we get:

A = (43/2)(43/2 - 43/2)/2 = 0

This means that the area of the triangle is 0 when one of the legs has a length of 0, which is not possible. Therefore, the maximum area occurs when the legs have equal lengths, which means that the right triangle is an isosceles right triangle. In this case, we have:

a = b = (35/sqrt(2)) cm

Substituting these values into the equation for the area, we get:

A = (ab)/2 = ((35/sqrt(2))^2)/2 = 612.5 cm^2

Therefore, the area of the right triangle is 612.5 square centimeters.

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

We know

In a shipment of 700 motors, 21 are defective.

Based on the shipment, what is the probability that a motor is defective?

We take

21 divided by 700, times 100 = 3%

So, the probability is 3%.