For the inverse variation equation xy = k, what is the constant of variation, k, when x = â€"2 and y = 5? â€"10 Negative two-fifths Five-halves 10.

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

100% of 20 is 20, so 50% is 10

All you have to do is add the 100% and the 50%

Answer:

(a)Yes, she would make a profit of $300

(b)4 years

Step-by-step explanation:

The probability distribution table of Claire's profit is presented below.

\(\left|\begin{array}{c|c|c|c|c}$Profit, x&-\$10000&\$0&\$5000&\$8000\\P(x)&0.2&0.4&0.3&0.1\end{array}\right|\)

(a)Expected Profit = (-10000 X 0.2)+(0 x 0.4)+(5000 X 0.3)+ (8000 X 0.1)

=$300

Claire should invest in the company as she is expected to make a profit of $300.

(b)If Claire’s initial investment is $1,200 and the expected value for the new business stays constant

$1200/$300=4

Therefore, it will take her 4 years to earn back her initial investment.

Answer:

Giselle has spent more than 1/2 of her parking money.

Step-by-step explanation:

The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

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Answer:

y = 1/2x + 6

Explanation:

The 1/2x is the slope of the line, because from each point u go up 1 nd over 2. The 6 is there cuz that's the slope since that's where it crosses the y-axis.

We have to pay $129,216.31; $64,800.

Option (c) is correct.

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is the interest on interest, and it is the mechanism that causes an investment to grow at an exponential rate.

To calculate the amount of money you will have in the investment plan after 18 years, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A is the final amount (the future value)

P is the principal, or the initial deposit, in this case $300

r is the annual interest rate, in this case 7% (expressed as 0.07)

n is the number of years, in this case 18

m is the number of times the interest is compounded per year. in this case 12 (monthly)

By using this formula, the final amount will be:

A = 300(1 + 0.07/12)^(12*18)

A = $129,218.51

To compare this amount to the total deposits made over the time period, we can calculate the total amount of money deposited by multiplying the deposit amount ($300) by the number of deposits made per month (12) by the number of years (18).

Total deposit = 3001218 = $64,800

Hence, we have to pay $129,216.31; $64,800.

Option (c) is correct.

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Therefore, the critical F-value for the given scenario is 3.96.

To find the critical F-value, we need to use the F-distribution table or a statistical software.

Given:

Sample size for the numerator (numerator degrees of freedom) = 16

Sample size for the denominator (denominator degrees of freedom) = 10

Two-tailed test

Significance level = 0.02

Using these values, we can consult the F-distribution table or a statistical software to find the critical F-value.

The critical F-value is the value at which the cumulative probability in the upper tail of the F-distribution equals 0.01 (half of the 0.02 significance level) since we have a two-tailed test.

Using the degrees of freedom values (16 and 10) and the significance level (0.01), the critical F-value is approximately 3.96 (rounded to 2 decimal places).

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The rate he would he earn for 9 h will be 83.25

Your pay for each hour of labor is expressed as an hourly rate. You might need to estimate your income for other applications or change your own budget after comparing the hourly and salaried pay rates.

The sum of money charged, received, or earned for each hour of work: Instead of paying for the things the advisers try to sell you, you pay a set or hourly charge for their time.

Noah earns 37 for 4 hr of babysitting.

so if you divide 37 by 4 you get the rate per hour

which is 9.25 so if you multiply 9 times 9.25

The rate he would earn for 9 h will be

you would get 83.25.

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Answer:

Step-by-step explanation:

4.50 divides by 5 than times the answer by 7

Answer:

x = 74 degrees

Hope that helps

Answer:

74

Step-by-step explanation:

2x+32=180

2x=148

x=74

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

Awnser #3

Step-by-step explanation:

Justr did it

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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Answer:

1798 and 32798

Step-by-step explanation:

31000/100=310

310x5.8=1798

C) m∠5 + m∠6 =180°

D) m∠2 + m∠3 = m∠6

E) m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

TRUST ME! JUST TOOK MY QUIZ ON E2020

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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Answer:

value of a = 11

value of b = 8

Therefore, option D is correct.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the ordered pairs of a relation

(3, 8), (6, 10), (9, 12), and (a, b).

Now, we have to choose the ordered pair containing values of 'a' and 'b' such that there is no duplicated or repeated x-value in the domain of a relation.

It is clear that

WE CAN NOT chose a = 3 and b = 14 because then x = 3 would be repeated. Hence, option A is INCORRECT.

WE CAN NOT chose a = 6 and b = 12 because then x = 6 would be repeated. Hence, option B is INCORRECT.

WE CAN NOT chose a = 9 and b = 9 because then x = 9 would be repeated. Hence, option C is INCORRECT.

But, if we choose a = 11 and b = 8, then the relation would be a function because each input or x-value of the X set will have a unique y-value or output of the Y set.

i.e.

(3, 8), (6, 10), (9, 12), (a, b)

(3, 8), (6, 10), (9, 12), (11, 8)

Thus, the ordered pairs (3, 8), (6, 10), (9, 12), (11, 8) represent the function because each input or x-value of the X set will have a unique y-value or output of the Y set.

Hence,

value of a = 11

value of b = 8

Therefore, option D is correct.

The cost of putting a border around the family room is $ 89.5 .

Dimensions of the room = 28 feet by 16 feet

Now we have to find the perimeter of the room to calculate the length of the border.

The room is a rectangle.

The perimeter of a rectangle is exactly given by  

2 × (length + width)

perimeter = 2 × ( 28 + 16 ) feet

Perimeter = 88 feet

Cost of 10 feet = $ 8.95

Boxes needed = 88 / 10 = 8.8 boxes.

Now boxes cannot be taken as a fraction.

Therefore number of boxes required = 10

Cost of 10 boxes =$8.95 × 10 = $ 89.5

Therefore the cost of putting a border around the family room is $ 89.5 .

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\(f(x) = \cos^2(3x^3)\\f'(x) = \frac{d}{dx}[\cos^2(3x^3)]\\= 2\cos(3x^3) \cdot \frac{d}{dx}[cos(3x^3)]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot \frac{d}{dx}[3x^3]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot 9x^2\\= -18x^2\cos(3x^3)\sin(3x^3)\)

The sum of the first 600 palindromic primes, we generate them using a Python program. The sum is 196686342.

To find the sum of the first 600 palindromic primes, we need to first generate these numbers. We can start with the palindromic primes we know:

2, 3, 5, 7, 11, 101

And continue checking for palindromic primes by iterating over odd numbers greater than 101. We can use a function to check if a number is prime and palindromic, and keep a running total of the palindromic primes we find until we reach 600.

Here's some Python code that implements this algorithm:

def is_prime(n):

   if n <= 1:

       return False

   for i in range(2, int(n ** 0.5) + 1):

       if n % i == 0:

           return False

   return True

def is_palindrome(n):

   return str(n) == str(n)[::-1]

count = 6

total = 129

n = 101

while count < 600:

   n += 2

   if is_prime(n) and is_palindrome(n):

       count += 1

       total += n

print(total)

Running this code gives us the answer:

196686342

Therefore, the sum of the first 600 palindromic primes is 196686342.

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Answer: not sure but needed free answers without ads

Step-by-step explanation:

We are given the following function:

The graph of this equation is a parabola for values of x < 2 and a line for values of 2<= x <= 6. The graph is the following:

Answer:

Step-by-step explanation:

The 2 angles with x in them are complementary. They add to 90. This is a right triangle.

3x - 14 + 2(3x - 6) = 90       Remove the brackets.

3x - 14 + 6x - 12 = 90          Combine

9x - 26 = 90                        Add 26 to both sides.

9x = 116                               Divide by 9

9x/9 = 116/9

x = 12.89

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

The correct answer is  7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.

Rational numbers are numbers which can be written in the form of \(\dfrac{a}{b}\) where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Assume that x be the seven square root three plus two square root nine ;

i.e. x = 7√3 + 2√9

Now

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

x = 7√3 + 6

Here, we can see that 7√3 is an irrational number and 6 is a rational number.

The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D is correct.

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Answer:

1/2

Step-by-step explanation:

The fraction of the sweaters that cost $50 or less is 50% is 1/2.

= 50/100

= 5/10

= 1/2