Please help with this math problem! :)

Answer: x = Jet’s weight

x + (x+10) = 46

46 - 10 = 2x

2x =36

x = 18

Jet weighs 18 pounds and Fido weighs 28 pounds.

Step-by-step explanation:

Steps also shown above.

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

f(g(x)) = 3x + 4

Step-by-step explanation:

to find f(g(x)) substitute x = g(x) into f(x)

f(g(x))

= f(x - 2)

= 3(x - 2) + 10

= 3x - 6 + 10

= 3x + 4

Answer:

\(f\left[g(x)\right]=3x + 4\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=3x+10\\g(x)=x-2\end{cases}\)

Function composition is an operation that takes two functions and produces a third function.

The given composite function f[g(x)] means to substitute the function g(x) in place of the x in function f(x):

\(\begin{aligned}f\left[g(x)\right] & = f(x-2)\\& = 3(x-2)+10\\& = 3x-6+10\\& = 3x+4\end{aligned}\)

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The step at which Marcus made his first mistake in solving this equation (2.5b = 5) is at calculating.

An expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities.

In order to determine the correct steps for solving the given expression, we would have to simplify the given mathematical equation by applying the division property of equality as follows:

Dividing both sides by 2.5, we have:

2.5b = 5

2.5b/2.5 = 5/2.5   ⇒ Setting up

b = 5/2.5

b = 2   ⇒  Calculating

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Complete Question:

Marcus tried to solve an equation.

2.5b = 5

2.5b/2.5 = 5/2.5   Setting up

b = 3                      Calculating

​

Where did Marcus make his first mistake?

Setting up

Calculating

Answer:

1120 super easy

Step-by-step explanation:

8x10=80

80x14=1120

218 is the answer i think

Answer:

\((\frac{-3}{4})^3 = -\frac{27}{64}\)

Step-by-step explanation:

Given

\((\frac{-3}{4})^3\)

Required

Evaluate

The expression can be represented as:

\((\frac{-3}{4})^3 = (\frac{-3}{4})*(\frac{-3}{4})*(\frac{-3}{4})\)

So, we have:

\((\frac{-3}{4})^3 = \frac{-3*-3*-3}{4*4*4}\)

\((\frac{-3}{4})^3 = \frac{-27}{64}\)

Rewrite as:

\((\frac{-3}{4})^3 = -\frac{27}{64}\)

Answer:

B  -27/64

Step-by-step explanation:

8+9x+4(11-2x)

As a first step we are going to use distributive property of multiplication:

8+9x+44-8x

Solving ths:

52+x

Answer would be M

Answer:

Como faltar a la escuela. Por favor, ¿cuál es el significado?

Answer:

0.069

Step-by-step explanation:

I think you mean 6.9 x 10^-2

This number is in scientific notation. In order to convert it to standard form, you have to do what the exponent is telling you to do. In this case, the -2 means that you are moving the decimal point in 6.9 two spots to the left, since it is negative which means the number is getting smaller.

This equals 0.069

Although the circumference of a circle with a value of 10 can be calculated, its area cannot be determined as it depends on the radius or diameter, and hence the given area value of 100 is false.

We know that the formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

If a circle has a circumference of 10, we can solve for the radius as follows:

10 = 2πr

r = 5/π

Next, the formula for the area of a circle is A = πr².

Substituting the value of r we found above, we get:

A = π(5/π)²

A = π(25/π²)

A = 25/π

To check if the area of the circle is 100, we can use an approximation of π as 3.14:

A ≈ 25/3.14

A ≈ 7.96

Therefore, the area of the circle with a circumference of 10 is approximately 7.96, which is not equal to 100. Hence, the statement "A circle with circumference of 10 has area of 100" is false.

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Answer:

I think its the one on the bottom right

Step-by-step explanation:

Answer:

bottom right is the answer i think

The number of unique combinations of books Dwight could bring with him is 168

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

Science fiction = 3

Business ethics = 8

Beet farming = 7

The number of unique combination of books is then calculated as

Number of unique combinations = Science fiction * Business ethics * Beet farming

Substitute the known values in the above equation, so, we have the following representation

Number of unique combinations = 3 * 8 * 7

Evaluate the products

Number of unique combinations = 168

Hence, the number of unique combinations is 168

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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

13/13.3 or 10

Step-by-step explanation:

You said she paid $10 to join, if she spent at least $40, then we subtract 10, then divide 30 by 3 then you would get 10.

If we don't have to subtract and she spent around $40 on only books, it would be 13/13.3

Answer:

43200 minutes

Step-by-step explanation:

60×24×30=43200

Answer:

44,640??

Step-by-step explanation:

there is 24 hours a day multiply 24 to 31 answer is 744,

744× 60=44,640

The correct answer is b. It would become wider with fewer values. This is because as the sample size decreases, the variability of the sample mean increases, leading to a wider confidence interval.

The distribution used for the confidence interval calculation (whether z or t) is not impacted by the sample size, only the size of the sample itself affects the confidence interval.

In a situation where the sample size was decreased from 39 to 29, the impact on the confidence interval would be (b) It would become wider with fewer values.

A smaller sample size generally leads to a wider confidence interval, as the decreased sample size provides less information about the overall distribution.

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The anatomical position is a standing upright position with arms at the sides and palms facing forward. The principal axes of rotation in this position are the transverse, anteroposterior, and mediolateral axes. Among these axes, the transverse axis has the least moment of inertia when rotating in the anatomical position.

The moment of inertia is a measure of an object's resistance to rotational motion. It depends on the object's mass and the distribution of that mass around the axis of rotation. The moment of inertia is lowest around the axis where the mass is concentrated closest to the axis of rotation.In the anatomical position, the transverse axis runs horizontally through the body and is perpendicular to the anteroposterior and mediolateral axes. The body's mass is mostly concentrated around the anteroposterior and mediolateral axes, which are vertical. Therefore, when rotating around the transverse axis, the mass is concentrated closest to the axis of rotation, resulting in the least moment of inertia.

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Option c. A(n) random variable is an input to a simulation model whose value is uncertain and described by a probability distribution.

In reenactment displaying, an irregular variable is an information whose worth is questionable and depicted by a likelihood conveyance. These factors are utilized to show the vulnerability and changeability in reality frameworks being mimicked. For instance, in an assembling cycle reproduction, the time it takes for a machine to follow through with a specific responsibility might be demonstrated as an irregular variable, as there might be variety in the machine's exhibition because of elements like administrator expertise, support, and gear quality.

By utilizing likelihood disseminations to show these questionable information sources, recreation models can give important bits of knowledge into framework conduct and help chiefs to assess the expected effect of various situations or methodologies.

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The complete question is:

A(n) ___________ is an input to a simulation model whose value is uncertain and described by a probability distribution.

a. identifier

b. constraint

c. random variable

d. decision variable

Answer:

I believe d

Step-by-step explanation:

Answer:

The angle should be 74 degrees and they are supplementary

Step-by-step explanation:

It is 74 degrees because the two angles must add up to 180, so you can simply subtract 106 from 180 to get 74. The angles are supplementary because they add up to 180 degrees, while complementary angles only add up to 90 degrees

The total of the areas under the standard normal curve to the left of z₁=−2.575 and to the right of z₂=2.575 is 0.0100 square units.

What is standard normal curve?

The horizontal axis is approached but never touched by the typical normal curve as it stretches infinitely in both directions. The centre of the bell-shaped standard normal curve, which has z=0 as its centre, is. Between z=3 and z=3, almost all of the area under the standard normal curve is located.

As given,

z₁=−2.575 and z₂=2.575

Then, required area,

= P (Z < -2.575) + P (Z > 2.575)

= P (Z < -2.575) + {1 - P (Z < 2.575)}

Using z table substituting values,

= 0.0050 + {1 - 0.9950}

= 0.0050 + 0.0050

= 0.0100

Hence, the total of the areas under the standard normal curve to the left of z₁=−2.575 and to the right of z₂=2.575 is 0.0100 square units.

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The value of n when the function g(n) assumes a value of 3 is of:

n = 10.

In the case of an inverse proportional relationship, as is the case in this problem, the output variable y is obtained as the division of the constant of proportionality k by the input variable x, as follows:

y = k/x.

Considering the variables in this problem, the equation is given as follows:

g(n) = k/n.

g(n)= 10 when n=3, hence the constant is obtained as follows:

10 = k/3

k = 3 x 10

k = 30.

Hence the equation is:

g(n) = 30/n.

When the input variable n when g(n) = 3 is obtained as follows:

3 = 30/n

3n = 30

n = 30/3

n = 10.

(we replaced the output variable g(n) by it's value and solved for the input variable)

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The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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The Raschid bought 31 baseball cards.

To determine the number of cards Raschid bought, we need to reverse the process described in the problem.

Given:

Number of rows = 6

Number of cards in each row = 4

Number of cards given to Grace = 7

To find the total number of cards, we need to calculate the number of cards in the arranged rows and add the cards given to Grace.

Number of cards in the arranged rows = Number of rows * Number of cards in each row

= 6 * 4

= 24

Total number of cards = Number of cards in the arranged rows + Number of cards given to Grace

= 24 + 7

= 31

Therefore, Raschid bought 31 baseball cards.

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Answer:

6

Step-by-step explanation:

The graph of the absolute value function is an inverted "V" such that the vertex is at (-4, -5) and opens downwards.

How to calculate the modular function?

Among modular functions, f(x) = |x| has its domain given by the real numbers and its range given by the positive real numbers. This is because the modular function will make |-y| = -(-y) = y given every negative y-value.

Given modular function is :

y = -|x + 4| - 5.

Hence, to plot the graph of a modular function, we need to determine some values for x and then apply them to the function f(x) = | x |.

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Answer:

(0,0)

Step-by-step explanation:

x = -⅛y²

The equation exchanges x and y, so this is a sideways parabola.

It opens to the left because the coefficient of y² is negative.

The vertex form of a sideways parabola with its vertex at (h, k) is:

x =  a(y – k)² + h

Your equation is

x = -⅛(y - 0)² + 0

By comparing the two equations, we find that

h = 0; k = 0.

The vertex is at (0, 0).  

The Figure shows your parabola with its vertex at (0,0).

Answer:

(0,0)

Step-by-step explanation:

The given differential equation is cos y dx + (y’ – I sin y) dy = 0. The general solution to the given differential equation is obtained as follows:

To find the general solution to the given differential equation cos y dx + (y’ – I sin y) dy = 0, we make use of the following steps.

Step 1:

Separating the given differential equation, we getcos y dx + (y’ – I sin y) dy = 0

⇒ cos y dx + y’ dy – I sin y dy = 0

⇒ cos y dx + y’ dy = I sin y dy

Step 2: Integrating both sides

we get\[{\int cos y dx} + {\int y’ dy} = {\int I sin y dy}\] .

Since, y’ = \(\frac{dy}{dx}\)

⇒ dy = y’ dx\[{\int cos y dx} + {\int y’ y’ dx} = {\int I sin y y’ dx}\] .

On solving this, we get\[sin y = \frac{c}{{\sqrt{1 - (y’)^{2}}}}\] where c is the constant of integration.

Let us now, simplify this further:\[sin y\sqrt{1 - (y')^{2}} = c\] .

Squaring on both sides, we get\[1 - (y')^{2} = \frac{c^{2}}{{sin^{2} y}}\]\[(y')^{2} = 1 - \frac{c^{2}}{{sin^{2} y}}\]

\[\large y' = \pm {\sqrt{1 - \frac{c^{2}}{{sin^{2} y}}}}\] .

The general solution is given by\[{\int \frac{dy}{\sqrt{1 - \frac{c^{2}}{{sin^{2} y}}}}} = \pm x + k\] where k is the constant of integration.

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Answer: A) Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign

Part 1: The standard deviation of $817 indicates the average amount of variation,

Part 2: The probability that a randomly selected student from the class missed at least two questions on the quiz is 0.7 or 70%.

Part 1:

Insurance companies estimate claim payments for cars based on make, model, value, and accident damage.

The random variable C represents the cost of a randomly selected car of one model to the insurance company.

The probability distribution of C is as follows:

P(C = $0) = 0.60

P(C = $500) = 0.05

P(C = $1000) = 0.13

P(C = $2000) = 0.22

The standard deviation (s) is given as $817.

Interpreting the Standard Deviation in Context The standard deviation (s) of $817 represents the measure of the average amount of variation or dispersion in the cost of cars for the given insurance company. A higher standard deviation indicates a wider range of car costs, suggesting that the insurance company faces a higher level of financial risk when setting premiums for different car models.

Part 2:

The professor gave a short quiz and tracked the number of questions missed.

X represents the number of questions missed on the quiz (random variable).

The specific probability distribution for X is not provided in the question.

To calculate the probability that a randomly selected student from the class missed at least two questions on the quiz,

We need the probability distribution for X, the number of questions missed on the quiz.

Since the distribution is not provided, we'll assume a hypothetical distribution for the purpose of calculation.

Assume the following hypothetical probability distribution for X:

X: Number of questions missed on the quiz

P(X): Probability

P(X = 0) = 0.1

P(X = 1) = 0.2

P(X = 2) = 0.3

P(X = 3) = 0.2

P(X = 4) = 0.1

P(X = 5) = 0.1

To find the probability that a student missed at least two questions, we need to sum the probabilities of all outcomes where X is greater than or equal to 2:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≥ 2) = 0.3 + 0.2 + 0.1 + 0.1 P(X ≥ 2) = 0.7

Therefore, the probability that a student missed at least two questions on the quiz is 0.7 or 70%.

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