what is the probability that the next person you meet was not born in February? No leap years.​

Answer:

a) score 2 and 3.

b) 30 rounds

Step-by-step explanation:

a) score 2 and 3 have same number of frequency which is 7 times, meaning that there are 7 persons get score 3 and 2 respectively.

b) frequency of number of score are 30 times, which means 30 rounds.

score 1: 3 times,

score 2: 7 times,

score 3: 7 times,

score 4: 8 times,

score 5: 5 times.

Answer:

a and b is the answer

the previous answer is a good answer

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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As an inspector, if the 42 samples taken from the accumulated milk have a mean bacteria count that is not between 2350 and 2650, it suggests that the milk may not meet the desired quality standards.

Based on the given information, we can assume that there is a specific acceptable range for the bacteria count in the milk, with the range of 2350 to 2650. If the mean bacteria count of the 42 samples falls outside of this range, it indicates that the milk may have a higher or lower bacteria count than what is considered acceptable.

In this situation, it would be prudent for the inspector to take further action. This may include investigating the potential causes of the deviation from the acceptable range, conducting additional tests or sampling, and considering appropriate measures to ensure the safety and quality of the milk before making a decision on whether to accept or reject it.

It is crucial for the inspector to follow established protocols and guidelines to make an informed decision regarding the acceptance or rejection of the accumulated milk. The specific actions and comments will depend on the established procedures and regulations in place for milk quality control.

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The simple modules of Cd, up to isomorphism, can be classified as follows:

There is one simple module of dimension 1.

There is one simple module of dimension 2.

There is one simple module of dimension 4.

To classify the simple modules of Cd, we can utilize the Artin-Wedderburn theorem and Schur's lemma. Firstly, since k is an algebraically closed field, the Artin-Wedderburn theorem implies that the group algebra Cd can be decomposed into a direct sum of matrix rings over k. Since the order of the cyclic group C is 4, we have four distinct conjugacy classes. Thus, the decomposition of Cd will have four matrix rings.

Next, we consider the dimensions of the simple modules. Schur's lemma states that the endomorphism algebra of a simple module is a division algebra. Since k is algebraically closed, the only division algebra over k is k itself. Therefore, each matrix ring corresponds to a simple module, and the dimension of each simple module is equal to the dimension of the corresponding matrix ring.

Since we have four matrix rings in the decomposition of Cd, we have four simple modules. The dimensions of these modules correspond to the dimensions of the respective matrix rings. Thus, we have one simple module of dimension 1, one simple module of dimension 2, and one simple module of dimension 4.

In light of the fact that g' = e (the identity element), we can deduce that g acts trivially on each simple representation. Therefore, the action of g on each simple module is given by the scalar multiplication by the corresponding eigenvalue. This completes the classification of all simple modules of Cd up to isomorphism.

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First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer:

Step-by-step explanation:

x= -2

y=2

There are 45,697,600 possible license plates that can be made using 2 digits and 4 letters if repeated digits and letters are allowed.

There are 10 digits (0-9) and 26 letters in the English alphabet. Therefore, to make a license plate using 2 digits and 4 letters, there are 10^2 = 100 ways to choose the digits and 26^4 = 456976 ways to choose the letters.

To find the total number of possible license plates, we multiply the number of ways to choose the digits by the number of ways to choose the letters:

100 * 456976 = 45697600

So, 45,697,600 reprents possible numbers of license plates that can be made using 2 digits and 4 letters with allowed repeatations of digits and letters.

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Answer:

Step-by-step explanation:

Can you like put the equation together it looks highly confusing

The solution for the given equation is 15.

The given equation is 2 = -7/4 + 1/4 x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 2 = (-7+x)/4

2×4 = -7+x

8 = -7+x

x = 8+7

x = 15

Therefore, the solution for the given equation is 15.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

Suppose that the batch has N liters of paint.

we know that the recipe is:

1/2 of red paint

1/3 of yellow paint

1/6 of white paint.

Then, out of the N liters, 1/2 is red.

This means that we must use:

N/2 liters of red paint.

And the same for the other two colors:

N/3 liters of yellow paint

N/6 liters of white paint.

When we add those 3, we have:

(N/2 + N/3 + N/6)  = (3*N/6 + 2*N/6 + N/6) = N.

Now, if for example N = 2

Then the batch has 2 liters of paint, this would mean that we must use:

2/2 liters of red paint

2/3 liters of yellow paint

2/6 liters of white paint.

Yes, it is likely that a random sample mean could deviate that much from a population mean.

To test whether the sample mean of 112 is significantly different from the population mean of 113.5, we can use a one-sample t-test. With 12 degrees of freedom (n-1), the critical value for a two-tailed test at a 5% significance level is ±2.179.

Using the formula t = (\(\bar{X}\) - μ) / (s / √n), where \(\bar{X}\) is the sample mean, μ is the population mean, s is the standard deviation, and n is the sample size, we get: t = (112 - 113.5) / (15 / √13) = -1.01

Since |-1.01| < 2.179, we fail to reject the null hypothesis that the sample mean is not significantly different from the population mean. Therefore, it is likely that this sample could be a random sample from a population with a mean of 113.5.

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Answer:

Four-fifths (4/5)

hope it helps!

Answer:

Four-fifths

Step-by-step explanation:

To convert this decimal into a fraction remove the decimal and divide by 10, so the new fraction looks like 8/10. You do this because the eight is in the tenths place, so it literally translates to eight-tenths. However, fractions need to be in the simplest form so you divide both the numerator and denominator by 2 to get the final answer 4/5 or four-fifths.

Answer:

the value of the expression is 6.

Step-by-step explanation:

To evaluate this expression, we need to follow the order of operations, which is:

Perform any calculations inside parentheses first.

Calculate any exponents (ie. powers or square roots, etc.).

Perform all multiplication and division, from left to right.

Perform all addition and subtraction, from left to right.

Using this order, we can simplify the expression as follows:

3 x 2 + 5 + 1 x (-5)

= 6 + 5 - 5 (multiplication before addition)

= 6

Therefore, the value of the expression is 6.

Answer:

6

Step-by-step explanation:

1.925

Explaining:to write 77/40 as a decimal you have to divide the numerator by the denominator of the fraction.We divide now 77 by 40 what we write down as 77/40 and we get 1.925

Answer:

0.77 and 0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

he height of the storage unit is equal to twice its radius (since the diameter is twice the radius), so the height is 2 x 8 = 16 feet.

The storage unit is in the shape of a cylinder, so we can use the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height:

V = π(8^2)(16)

V = π(64)(16)

V = 3,218.69 cubic feet (rounded to two decimal places)

Therefore, the volume of the storage unit is approximately 3,218.69 cubic feet.

True. Recursion is often necessary to solve certain types of problems that exhibit a recursive structure or require repeated subproblem solving.

Recursion is a programming technique where a function calls itself in its own definition. It allows for the decomposition of complex problems into smaller, more manageable subproblems that can be solved recursively. Recursion is particularly useful when problems exhibit a recursive structure, such as tree traversal, backtracking, or divide-and-conquer algorithms.

For example, problems like computing the factorial of a number, calculating Fibonacci numbers, or traversing a binary tree can be elegantly and efficiently solved using recursion. These problems can be broken down into smaller instances of the same problem until a base case is reached, and then the solutions are combined to solve the original problem.

However, it's worth noting that not all problems require recursion for their solution. There are alternative approaches, such as iterative loops or dynamic programming, which can be used depending on the problem's characteristics and requirements.

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Answer:

Step-by-step explanation:

A

the correct answer is option C

Because if u simplify the 13/3 it would be 4 1/3 and 1/3 is larger than 1/5

Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

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Step-by-step explanation:

The volume of the rectangular prism is 105.57

What is the volume of a rectangular prism?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

Where l, h and w represent the length, height and width respectively.

Given that;

Length of the prism is 2 times the width L = 2w

the width is 4 times the height  w = 4h

Now let’s plug these values;

the surface area equation, it becomes;

A = 2(2w(w) + w(w/4) + w/4(2w))

A = 2(2w^2 + w^2/4 + w^2/2)

A = 1/2(7w^2)

792 x2 = 7w^2

w = 15.04

The volume of a rectangular prism=Length X Width X Height

V = 2w x w x w/4

V x 2 = w³

V = 15.04³/2

V = 105.57

Thus, the volume is 105.57.

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The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. If the circumference of the circular table is 816.4 centimeters, then we can use this formula to find the radius of the table. Solving for r, we get r = C / (2π) = 816.4 / (2π) ≈ 129.9 centimeters (rounded to one decimal place).

Answer:

I believe the answer is 240.

Step-by-step explanation:

Answer:

240 calories each day

Step-by-step explanation:

According to the information Lacey read, a cat weighing p pounds needs to eat a total of 30p calories each day to stay healthy. Since Lacey's cat, Muffin, weighs 8 pounds, she needs to eat 30 * 8 = <<30*8=240>>240 calories each day to stay healthy. Therefore, Lacey should feed her cat a total of 240 calories each day in order to ensure that it receives the proper nutrition and stays healthy.

Answer:

24

Step-by-step explanation:

6*4

The answer to the given question is option D. The news story does not talk about the scuba car reminding some people of a car from a movie. Let's discuss the given news story and options:  AA's new car is called the scuba. B A company in Switzerland has invented a new car.

The correct option is  D.The sQuba reminds some people of a car from a movie

C The scuba will be in a James Bond movie. D The sQuba reminds some people of a car from a movie. A company in Switzerland has invented a new car called the scuba. It is a three-wheeled electric car that can be driven on land and underwater. The car can dive to a depth of up to 10 meters underwater. It also floats to the surface due to its engine's power and the use of two fans that make it a personal submarine.

The sQuba has two seats and can travel up to 120 km/h on land and 6 km/h in water. The car's construction is expensive and uses carbon fiber. The news story talks about the invention of the new car, its features, its ability to be driven both on land and underwater, the speed, and the construction of the scuba car. However, it does not discuss the sQuba car reminding some people of a car from a movie.

Therefore, the answer is option D.

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Answer:

1/6

Step-by-step explanation:

First, we'll simplify the inside portion of the question.

\(\frac{3^{3/4}}{3^{3/8}} =3^{3/4-3/8}=3^{3/8}\\\)

Next, we are raising this to the 4/9 power.

\((3^{3/8})^{4/9} = 3^{(3/8) * (4/9)} = 3^{1/6}\)

Thus, x = 1/6.

The Cartesian form is

a) -6 + 10i.

b) 1 + (p/2) + (5/4)i.

c)  -2 + 2i.

d)  36 - 36i.

The Cartesian form of the complex numbers:

a)   2.

b) 20 - 5i.

c) -4 + 50i.

D)  39 - 2i.

Finding the Cartesian form of the complex numbers:

(a) 4(1+2i) - 2(5 - i):

Distribute and simplify:

= 4 + 8i - 10 + 2i

= -6 + 10i

So, the Cartesian form is -6 + 10i.

(b) (1 + i/2) + (1/2)(p + i):

Distribute and simplify:

= 1 + i/2 + p/2 + i/4

= 1 + (p/2) + (5/4)i

The Cartesian form is 1 + (p/2) + (5/4)i.

(c) (1 + i)³:

Expand using the binomial theorem:

= 1 + 3i + 3i² + i³

= 1 + 3i + 3(-1) + (-i)

= -2 + 2i

The Cartesian form is -2 + 2i.

(d) 12(i + 3(1-4i)):

Distribute and simplify:

= 12i + 36 - 48i

= 36 - 36i

The Cartesian form is 36 - 36i.

Finding the Cartesian form of the complex numbers:

(a) (1 + i)(1 - i):

Apply the FOIL method:

= 1 - i + i - i²

= 1 + 1

= 2

The Cartesian form is 2.

(b) (5 + 10i)(-2 + 3i):

Apply the FOIL method:

= -10 + 15i - 20i - 30i²

= -10 - 5i - 30(-1)

= -10 - 5i + 30

= 20 - 5i

The Cartesian form is 20 - 5i.

(c) 2(4 + i)(1 + 6i):

Apply the FOIL method:

= 2(4 + 24i + i + 6i²)

= 2(4 + 25i - 6)

= 2(-2 + 25i)

= -4 + 50i

The Cartesian form is -4 + 50i.

(d) (1 + 2i)(3 - 4i)(5 + 6i):

Apply the FOIL method:

= (3 - 4i)(5 + 6i)

= 15 + 18i - 20i - 24i²

= 15 - 2i - 24(-1)

= 15 - 2i + 24

= 39 - 2i

The Cartesian form is 39 - 2i.

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Answer:

25 + 39 = 64

Step-by-step explanation:

I hope this helps! If it does, please click "Thanks" to help me out!

x: 13.8924439894498

y: 6

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

\((x-8)^2 + (y - 9)^2 = r^2\)

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Answer:

B. (x – 8)² + (y – 9)² = 3

C.(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

edg 2020