Solve the following equation for X.
2x - 18y = - 8
Solve the following equation for X. 2x - 18y = - 1

Answers

Answer 1
Answer:

Answer:

x = 9y - 4

Step-by-step explanation:

2x - 18y = - 8 /: 2

x - 9y = - 4

x = 9y - 4


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Does anybody know about this I'm stuckes it's about angles ​

Answers

Answer:

the answer is 25 degrees

Answer:

alpha = 25°

Step-by-step explanation:

The picture indicates a rectangle.

Alpha is in a straight corner of 90 °, so...

65 + alpha = 90

subtract 65 left and right of the = sign.

65 - 65 + alpha = 90 - 65

0 + alpha = 90 - 65

alpha = 25°

During migration a butterfly can travel 30 miles in 1 hour. Which graph best represents y the number of miles a butterfly can travel in x hours

Answers

The linear equation that models this situation is y = 30x

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

The slope intercept form of a straight line is:

y = mx + b

Where m is the slope and b is the y intercept.

The standard form of a straight line is:

Ax + By = C

Where A, B and C are constants

Let y represent the number of miles a butterfly can travel in x hours. The butterfly can travel 30 miles in 1 hour, hence:

y = 30x

The graph is attached

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How does logical operator work- explain the differences between A AND B and A OR B? (6 pts)

Answers

Answer with Step-by-step explanation:

We are given two input A and B

A AND B=A\cdot B

If A=0 and B=0 then A\cdot B=0

If A=0 and B=1 then A\cdot B=0

If A =1 and B=0 then A\cdot B=0

If A=1 and B=1 then A\cdot B=1

A OR B=A+B

If A=0 and B=0 then A+B=0+0=0

If A=0 and B=1 then A+B=0+1=1

If A =1 and B=0 then A+B=1+0=1

If A=1 and B=1 then A+B=1+1=1

If A=0 and B=1 or A=1 and B=0 then A AND B=0 but A OR B=1

This is the main difference A AND B and A OR B.

A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds issued B, 60% were issued by cities, 20% by suburbs, and 20% by rural areas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating? b. What proportion of municipal bonds are issued by cities? c. What proportion of municipal bonds are issued by suburbs?

Answers

a) The probability that a new municipal bond issued by a city will receive an A rating is 0.625 or 62.5%.

b) 56% of municipal bonds are issued by cities.

c) The proportion of municipal bonds issued by suburbs is 0.325 or 32.5%.

Let's solve each part of the problem:

a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating?

Use conditional probability here.

Using conditional probability notation, we have:

P(A | City)

To calculate this, use the following formula:

P(A | City) = P(A and City) / P(City)

We are given:

- P(A) = 0.70 (probability of an A rating)

- P(B) = 0.20 (probability of a B rating)

- P(C) = 0.10 (probability of a C rating)

For bonds issued in cities:

- P(City | A) = 0.50 (probability that it's a city if it's rated A)

- P(City | B) = 0.60 (probability that it's a city if it's rated B)

- P(City | C) = 0.90 (probability that it's a city if it's rated C)

Now, let's calculate:

P(A and City) = P(A) * P(City | A)

P(City) = P(A) * P(City | A) + P(B) * P(City | B) + P(C) * P(City | C)

Substitute the values:

P(A and City) = 0.70 * 0.50

                      = 0.35

P(City) = (0.70 * 0.50) + (0.20 * 0.60) + (0.10 * 0.90)

          = 0.35 + 0.12 + 0.09

          = 0.56

Now, calculate the conditional probability:

P(A | City) = P(A and City) / P(City)

                = 0.35 / 0.56

                = 0.625

So, the probability is 0.625 or 62.5%.

b. What proportion of municipal bonds are issued by cities?

56% of municipal bonds are issued by cities.

c. What proportion of municipal bonds are issued by suburbs?

To find the proportion of municipal bonds issued by suburbs,  use a similar approach:

P(Suburb) = P(A) * P(Suburb | A) + P(B) * P(Suburb | B) + P(C) * P(Suburb | C)

We are given:

- P(Suburb | A) = 0.40

- P(Suburb | B) = 0.20

- P(Suburb | C) = 0.05

Now, calculate:

P(Suburb) = (0.70 * 0.40) + (0.20 * 0.20) + (0.10 * 0.05)

                 = 0.28 + 0.04 + 0.005

                 = 0.325

So, the proportion of municipal bonds issued by suburbs is 0.325 or 32.5%.

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Final answer:

The probability that a municipal bond issued by a city will receive an A rating is 35%. The proportion of all municipal bonds issued by cities is 56%. The proportion of all municipal bonds issued by suburbs is 32.5%.

Explanation:

This question requires an understanding of probability and conditional probability.

a) To find the probability that a new municipal bond issued by a city will receive an A rating, we must first determine the likelihood that an A-rated municipal bond is issued by a city. Given that 50% of A-rated bonds are issued by cities and that 70% of all bonds receive an A rating, we can calculate this probability as (0.50)*(0.70) = 0.35, or 35%.

b) To find the proportion of municipal bonds issued by cities, we must add up the bonds issued by cities across all ratings. So, (0.70*0.50) + (0.20*0.60) + (0.10*0.90) = 0.35 + 0.12 + 0.09 = 0.56, or 56%.

c) To calculate the proportion of municipal bonds issued by suburbs, we do the same calculation as in part b) but for suburbs. So, (0.70*0.40) + (0.20*0.20) + (0.10*0.05) = 0.28 + 0.04 + 0.005 = 0.325, or 32.5%.

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Which function is even? check all that applya. y = csc x
b. y = sin x
c. y = sec x
d. y = cos x

Answers

The function is even will be y = sec x and y = cos x. Then the correct options are C and D.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

Check all that apply.

a. y = csc x, then replace x with -x. Then we have

y = csc -x

y = 1/sin -x

y = - 1/ sin x

y = -csc x

b. y = sin x, then replace x with -x. Then we have

y = sin -x

y = - sin x

c. y = sec x, then replace x with -x. Then we have

y = sec-x

y = 1/cos -x

y = 1/ cos x

y = sec x

d. y = cos x, then replace x with -x. Then we have

y = cos -x

y = cos x

Thus, the function is even will be y = sec x and y = cos x.

Then the correct options are C and D.

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Answer: c and d

Step-by-step explanation: they’re both even

The probability that the first production line stops is 0.5 while the probability that the second production line stops is 0.22 . If the production lines work independently of each other what is the probability that both lines are working at any given time ?

Answers

Answer:

0.11

Step-by-step explanation:

The events are independent, so:

P(A and B) = P(A) × P(B)

P = 0.5 × 0.22

P = 0.11