he table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.

A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, x. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6.

Which outcome is represented by x?
rolling a two and the coin landing on tails
rolling a three and the coin landing on tails
rolling a two and the coin landing on heads
rolling a three and the coin landing on heads

To find the probability that a person fails the first time but passes the second time in organic chemistry, we need to multiply the probability of failing the first time (0.2) by the probability of passing the second time (0.9).

Probability of failing the first time = 0.2

Probability of passing the second time = 0.9

Probability of failing the first time but passing the second time = 0.2 * 0.9

Calculating the product:

Probability of failing the first time but passing the second time = 0.18

Therefore, the probability that a person fails the first time but passes the second time in organic chemistry is 0.18, or 18%.

To learn more about  Probability - brainly.com/question/32004014

#SPJ11

Answer: 42 gallons

Step-by-step explanation:

given data:

average gas mileage/day = 29miles/gallon

distance travelled each day by James = 87miles

How much gas does he use in 14days drive.

solution:

james drives 87miles daily, so in 14 days he would have travelled

= 87miles * 14

= 1218miles travelled.

gas used in 14days

1218miles distance traveled in 14 days

29miles/gallon

= 1218miles / 29miles

= 42gallons of gas have been used by janew to fuel his truck in 14days.

Answer:

thousands

Step-by-step explanation:

you can tell what place it is rounded to based on how many zeroes there are. In this example, the ones, tens, and hundreds place, meaning this is rounded to the nearest thousand

Answer:

36

Step-by-step explanation:

18/4=4.5

4.5 x 4= 36

simple dude

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

Learn more about syntax:

https://brainly.com/question/21926388

#SPJ11

Answer: 4/5

Step-by-step explanation:

\(6 \cdot \frac{2}{15}=(2)(3) \cdot \frac{2}{3(5)}=\frac{4}{5}\)

Answer:

y=-3/2x-2

Step-by-step explanation:

simplify 3x+2y=6 first

-3x. -3x

2y= -3x+6

Divide by 2

y= -3/2x+3

since it's parallel you would use the same slope

slope= -3/2x

Now you need to find b (x-intercept)

point (-2,1)=(x,y) use this to plug into y=mx+b

=

(1)=-3/2(-2)+b (simplify)

1 = 3+b

-3 -3

-2= b

so put it together and get

y=-3/2x-2

The center of this circle is (9, -10) and the radius is 2

From the question, we have the following parameters that can be used in our computation:

x^2 + y^2 - 18x + 20y + 177 = 0

When the above circle equation is factored, we have

(x - 9)^2 + (y + 10)^2 = 4

As a general rule, the equation of a circle is represented as

(x - a)^2 + (y - b)^2 = r^2

Where

When the above equations are compared, we have

center = (a, b) = (9, -10)

Hence, the center is (9, -10)

In (a), we have

(x - 9)^2 + (y + 10)^2 = 4

As a general rule, the equation of a circle is represented as

(x - a)^2 + (y - b)^2 = r^2

Where

When the above equations are compared, we have

r^2 = 4

So, we have

r = 2

Hence, the radius is 2

Read more about circle equation at

https://brainly.com/question/1506955

#SPJ1

Answer:

Step 1.

Step-by-step explanation:

Since You need to do 3 x 3 first, BEFORE 3 - 2, it is incorrect.

Hope that helps!

Answer:

Step 1

Step-by-step explanation:

They are supposed to do 3*3 not 3*1.

Answer:

Step-by-step explanation:

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

i. The function \(\(u(x,y) = e^x\cos(y) + 2x + y\)\) is harmonic.

ii. A harmonic conjugate

\(\(v(x,y)\) of \(u(x,y)\) is \(v(x,y) = e^x\sin(y) + x^2 + xy + C\)\).

iii. The function \(\(f(z) = u + iv\)\) is an analytic function of \(z\).

i. To show that \(\(u(x,y)\)\) is harmonic, we need to verify that it satisfies Laplace's equation, which states that the sum of the second partial derivatives of a function with respect to its variables is zero. Let's calculate the second partial derivatives of \(\(u(x,y)\)\):

\(\(\frac{{\partial^2 u}}{{\partial x^2}} = e^x\cos(y) + 2\)\),

\(\(\frac{{\partial^2 u}}{{\partial y^2}} = -e^x\cos(y)\),\\\(\frac{{\partial^2 u}}{{\partial x\partial y}} = -e^x\sin(y)\)\).

Summing these second partial derivatives, we have:

\(\(\frac{{\partial^2 u}}{{\partial x^2}} + \frac{{\partial^2 u}}{{\partial y^2}} = (e^x\cos(y) + 2) - e^x\cos(y) = 2\)\).

Since the sum is constant and equal to 2, we can conclude that \(\(u(x,y)\)\) satisfies Laplace's equation, and hence, it is harmonic.

ii. To find the harmonic conjugate \(\(v(x,y)\)\) of \(\(u(x,y)\)\), we integrate the partial derivative of\(\(u(x,y)\)\) with respect to \(\(y\)\) and set it equal to the partial derivative of \(\(v(x,y)\)\) with respect to \(\(x\)\). Integrating the first partial derivative, we have:

\(\(\frac{{\partial v}}{{\partial x}} = e^x\sin(y) + 2x + y + C\)\),

where \(\(C\)\) is a constant of integration. Integrating again with respect to\(\(x\)\), we obtain:

\(\(v(x,y) = e^x\sin(y) + x^2 + xy + Cx + D\)\),

where\(\(D\)\) is another constant of integration. We can combine the constants of integration as a single constant, so:

\(\(v(x,y) = e^x\sin(y) + x^2 + xy + C\).\)

iii. The function \(\(f(z) = u + iv\)\) is an analytic function of \(\(z\)\). Here, \(\(z = x + iy\)\), and \(\(f(z)\)\) can be written as:

\(\(f(z) = u(x,y) + iv(x,y) = e^x\cos(y) + 2x + y + i(e^x\sin(y) + x^2 + xy + C)\)\).

Thus, the function \(\(f(z)\)\) is a combination of real and imaginary parts and satisfies the Cauchy-Riemann equations, making it an analytic function.

Learn more about harmonic conjugate

brainly.com/question/32700819

#SPJ11

1. The theoretical probability of rolling an even number less than 12 is 5/10, or 1/2.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.

2. The experimental probability of rolling a 20 is 2/10, or 1/5.

3. The theoretical probability of rolling a number divisible by 3 is 4/10, or 2/5.

4. The experimental probability of rolling a 1 is 1/10, or 10%.

To know more about probability click-

brainly.com/question/24756209

#SPJ1

Answer:

y=1.5x

Step-by-step explanation:

In this case, 5 percent - 3 percent = 2 percent. However, since we are interested in per capita output,the growth relative to the population size. Dividing the 2 percent growth by the population growth rate of 3 percent and multiplying by 100 gives us approximately 1.94 percent.

To provide a more detailed explanation, per capita output refers to the average output per person in a population. It is calculated by dividing the total output by the population size. When output increases, it can be due to factors such as technological advancements, increased productivity, or expanded production capacity. Population growth, on the other hand, refers to the increase in the number of individuals in a population over time.

When output increases by 5 percent, it indicates that the total output has grown. However, to determine the per capita output, we need to account for the population growth as well. If the population is growing at a rate of 3 percent, it means that the number of individuals in the population is increasing. This increase in population should be considered when calculating the per capita output.

By subtracting the population growth rate of 3 percent from the output growth rate of 5 percent, we obtain the net growth in per capita output, which is approximately 2 percent. This means that on average, each person in the population experiences a growth in output of approximately 1.94 percent after accounting for population growth.

It's important to note that these calculations assume that the output growth and population growth rates are constant and apply uniformly across the entire population. In reality, variations in growth rates and population dynamics can lead to different outcomes.

know more about population growth :brainly.com/question/12739583

#SPJ11

Answer:

an acute triangle - all 3 angles are less than 90 degrees.

Step-by-step explanation:

Answer:

48 is the answer

Step-by-step explanation:

9*4 +. 6*2

36 + 12

48

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Value of the given integral is π/2.

We use the following conversions:

x = r cosθ

y = r sinθ

da = r dr dθ

We need to find the limits of integration in terms of polar coordinates. The region d lies between the circles x² + y² = 4 and x² + y² = 2x. Converting these equations to polar coordinates, we get:

r² = 4

r² = 2r cosθ

r = 2 cosθ

The region d lies in the first quadrant, so the limits of integration for theta are 0 to pi/2. For r, the limits of integration are 0 to 2 cos(theta) since the region lies between the two circles.

Now we can rewrite the integral using polar coordinates:

∫∫d x da = ∫[0, π/2]∫[0, 2cosθ] (r cosθ) r dr dθ

Simplifying this expression, we get:

∫∫d x da = ∫[0, π/2]∫[0, 2cosθ] r² cosθ dr dθ

Integrating with respect to r first, we get:

∫∫d x da = ∫[0, π/2] (1/3)(2cosθ)³ cosθ dθ

Simplifying further, we get:

∫∫d x da = (4/3) ∫[0, π/2] cos⁴(θ) dθ

This integral can be evaluated using the reduction formula for cosine:

∫ cosⁿ(θ) dθ = (1/n) cosⁿ⁻¹(θ) sin(θ) + [(n-1)/n] ∫ cosⁿ⁻²(θ) dθ

Using this formula, we can find that:

∫ cos⁴(θ) dθ = (1/4) cos³(θ) sin(θ) + (3/4) ∫ cos²(θ) dθ

∫ cos²(θ) dθ = (1/2) [θ + sin(2θ)/2]

Substituting these expressions back into our integral, we get:

∫∫d x da = (4/3) [(1/4) cos³(π/2) sin(π/2) + (3/4) (1/2) (π/2 + sin(π)/2)]

∫∫d x da = (4/3) [(3/8)π]

Simplifying further, we get:

∫∫d x da = (π/2)

Therefore, the value of the given integral is π/2.

Learn more about integral.

brainly.com/question/18125359

#SPJ11

Answer:

6t-5

x should be the constant term. just guess

Answer:

I think the answer is 6t-5 I don't really know.

Step-by-step explanation:

Answer:

approximately 1.732

Step-by-step explanation:

To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.

Answer:

(-2,3)

Step-by-step explanation:

Answer:

y intercept

Step-by-step explanation:

The solution is x ≤ 5.

The graph that represents all the solutions to this inequality is given below.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

7x + 41 ≤ 6x + 46

Solve for x.

7x + 41 ≤ 6x + 46

7x - 6x ≤ 46 - 41

x ≤ 5

This means,

The solutions are 5 and values less than 5.

The graph is given below.

Thus,

The solution is x ≤ 5.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

x=48

Step-by-step explanation:

the sum of all the angles in a triangle is 180

so 180-47-85=48 which is x

48 is the answer what you do is 85 + 47 = 132 then you do 180 - 132 = 48. If you don't understand where I got 180 from, then I'll go into more detail, all angles are supposed to equal 180 so if you want to check your work you do 85 + 47 + 48 = 180!! Glad I could help!! (:

X=48

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

for such more questions on matrix

https://brainly.com/question/1279486

#SPJ8