A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has an odd number.
Event B: The marble selected has a number from 3 to 6.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A and B":
mm
(b) Event "A or B".
X
?
(C) The complement of the event B: {I}

Answer:

-0.78125

Step-by-step explanation:

-6000÷7680= -0.78125

Answer:

C) 11

Step-by-step explanation:

Exterior angles in a triangle = the sum of the interior angles of the triangle

Here, the exterior angle is ∠BCT while the interior angles are ∠CAB and ∠ABC

Using the above theorem we can say that ∠BCT = ∠CAB + ∠ABC

Plugging in the given expressions and values of the angles we acquire

9x + 6 = 3x + 2 + 70

==> combine like terms

9x + 6 = 3x + 72

==> subtract 3x from both sides

6x + 6 = 72

==> subtract 6 from both sides

6x = 66

==> divide both sides by 6

x = 11

Answer:

788878

Step-by-step explanation:

789879

Scott's analysis of the impact of trade deficits on American jobs fails to consider the macroeconomic effects of trade deficits on domestic employment.

Irwin argues that Scott's analysis is incomplete as it ignores the long-term impact of trade deficits on employment. Scott's analysis is limited to looking at the short-term effect of trade deficits on the number of jobs lost or gained in certain industries.

He argues that trade deficits do not necessarily lead to a net loss of jobs in the economy, as the money saved by consumers through lower prices can be spent elsewhere, creating new jobs in other sectors.

However, Irwin argues that this analysis misses the bigger picture. Irwin suggests that trade deficits can lead to a long-term decline in the manufacturing sector, which can have significant negative consequences for domestic employment. Trade deficits can lead to a decrease in demand for domestically produced goods, as foreign competitors offer lower-priced alternatives. This can lead to a reduction in domestic production and employment in the affected industries.

Furthermore, Irwin argues that trade deficits can have a negative impact on the economy as a whole. Trade deficits can lead to a decrease in the value of the dollar, which can increase inflation and reduce consumer purchasing power. This, in turn, can lead to a decrease in demand for goods and services, which can negatively impact employment across multiple sectors.

In conclusion, Scott's analysis of the impact of trade deficits on American jobs is incomplete, as it fails to consider the long-term macroeconomic effects of trade deficits on domestic employment. Irwin argues that a full accounting of the impact of trade deficits on American jobs must take into account the potential negative consequences on the manufacturing sector and the economy as a whole.

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The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.

The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.

The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.

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The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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To determine which location yields the higher profit per year, we need the specific data for the annual profit in each location. Please provide the annual profit values for the locations in question, and I will be able to calculate and compare the profit per year.

Without the necessary information regarding the annual profits of the locations, it is not possible to determine which location yields the higher profit per year. To make a meaningful comparison, we need the specific profit figures for each location. Once the annual profit values are provided, we can calculate the profit per year by dividing the total profit by the number of years.

Once the profit per year is calculated for each location, we can compare the values to determine which location has the higher profit per year. However, as the specific data regarding the annual profit in each location is missing, it is not feasible to provide a conclusive answer at this time. Please provide the annual profit figures for the locations in question, and I will be able to assist you further in determining which location yields the higher profit per year.

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Answer:

Step-by-step explanation:

boody boody

Given the expression:

You need to expand it in order to find an equivalent expression.

It is important to remember the Sign Rules for Multiplication:

Now you have to apply the Distributive Property in order to expand the expression. You get:

Hence, the answer is: Last option.

Answer:

$79.30

Step-by-step explanation:

22% of 65 is 14.30

14.30 + 65 = 79.30

Stay safe! <3

Answer:

In order to find the graph equation, we can use the points given:

(0,1) (-1,4) (1,-2)

(slope between (0,1) (1,-2): -3)

y = mx + b or y = -3x + 1

The derivative of ln(1) is 0.

The natural logarithm, denoted ln(x), is the inverse function of the exponential function ex. It is a logarithmic function that is commonly used in mathematics, physics, and engineering.

The derivative of the natural logarithm can be found using the logarithmic differentiation rule, which states that the derivative of ln(x) is 1/x. When x = 1, the derivative of ln(1) becomes 1/1 = 1.

However, since the natural logarithm of 1 is defined as 0, the derivative of ln(1) is also 0. In other words, the slope of the natural logarithm function at x = 1 is 0. This result is important in many areas of mathematics and science and is used in solving problems related to exponential growth and decay.

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Answer:

118.0

Step-by-step explanation:

using Trigonometry,

\(x = 99tan(50) \\ = 118.0\)

The first three taylor polynomials of the function f(x) = e⁻ˣ at x = 0 is 1, 1 - x and 1 - x + x²/ 2.

Taylor polynomial of degree n for a function f(x) which is infinitely differentiable at a is

f(a) + f'(a)×(x - a)/ 1! + f''(a)×(x - a)²/ 2! + ... + (f⁽ⁿ⁾(a)×(x - a)ⁿ/ n! = ∑(i = 1 to n)(f⁽i⁾(a)×(x - a)^{i}/ i!)

where f⁽i⁾(a) denotes the ith derivative of f(x) at a

The first, second and nth derivative of the function f(x) = e⁻ˣ is

f'(x) = -e⁻ˣ

f''(x) = e⁻ˣ

f⁽ⁿ⁾x = (-1)ⁿe⁻ˣ

First Taylor polynomial, n = 1, here f(x) = e⁻ˣ and a = 0.

P₁(x) = f(0) = e⁻⁰ = 1

Similarly

P₂(x) = f(0) + f'(0)(x - 0)/ 1!

P₂(x) = 1 + -1×e⁻⁰×(x - 0)

P₂(x) = 1 - x

P₃(x) = f(0) + f'(0)(x - 0)/ 1! + f''(0)(x - 0)²/ 2!

P₃(x) = 1 - x + e⁻⁰×(x - 0)²/ 2

P₃(x) = 1 - x + x²/ 2

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We get the dimensions of the park as length = 75 feet and width = 20 feet.

We are given that:

A yard has a perimeter of 190 feet.

Also, four times the length of the yard equals 15 times the width.

Now,

Let the length of the yard be x.

ATQ, we get the width of the yard as:

15 width = 4 x

Width = 4 / 15 x

Perimeter = 2 ( l + b )

190 = 2( x + 4 / 15 x )

95 = 19 x / 15

19 x = 95 × 15

19 x = 1425

x = 1425 / 19

x = 75 feet.

Length = 75 feet

Width = 4 / 15 x = 20 feet.

Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.

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Answer:

green

Step-by-step explanation:

green

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x

Given that y'' (1) = 3

So we can find the second derivative of y:  y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x

Therefore, y''(1) = 6 - q₁

From the given information: y''(1) = 3

Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3

The value of q₁ is 3.

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36 feet of fencing will be needed

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. The measurement is made using square units, with square metres serving as the standard unit (m2).

Area of a Square = Side × Side

Therefore, the area of square = Side2  square units

and the perimeter of a square = 4 ×  side units

Area of square field = 81 hectare

1 hectare = 10000 sq.m.

So, 81 hectare = 810000 sq.m.

So, Area of square field = 810000 sq.m.

Area of square=Side²

side²=810000

side =√810000

side=900

So,

Perimeter of square = 4×  side

Perimeter of square field = 4 × 900 =3600m

Therefore 36 feet of fencing will be needed

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Answer:

110 squares.

Step-by-step explanation:

When analyzing the amount of squares per figure. you notice a pattern. Figure 3 has 12 squares, Figure 4 has 20, and Figure 5 has 30. The way I processed it, I divided each amount of squares, by the number of the figure.

12/3 = 4, 20/4 = 5, 30/5 = 6.

The amount by which the "figure" is being multiplied by is increasing by 1 each time. Therefore, 10 * 11 = 110.

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

Answer:

Step-by-step explanation:

Dividing 3 into 2 results in the infinite (repeating) decimal fraction 0.6666....

      0 . 6

3 / 20

     18

     ------------

        20

and so on:  this pattern repeats itself indefinitely

Answer:

Step-by-step explanation:

Answer:

Today: Thursday, 05 November 2020

Hour: 13.59 WIB (Indonesia)

_______________________________

Answer:

D (I think!!)

Step-by-step explanation:

I searched for a complex plane graph and put in each answer and this was the closest.

Cube root of \(1+i\) is represented by expression \(\sqrt[3]{1+i}\) .

The nth root of number m is represented by, =  \(\sqrt[n]{m}\)

Here, we have to find expression for cube root of 1 + i

So, substitute n = 3 and m = 1 + i

We get,  

Cube root of , \(1 + i\)  =   \(\sqrt[3]{1+i}\)

Thus, Cube root of \(1+i\) is represented by expression \(\sqrt[3]{1+i}\) .

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Answer:

-15,  I know its -15 but ;-;

Answer:  B 9:21

Step-by-step explanation:

9 reduces to three and 21 reduced to 7