-3x + 12x how do I simplify that?

The correct probabilities are P(at least two tails) = 0. 5 and P(at least one heads) = 0. 875.

Let's calculate the probabilities based on the given sample space:

Total number of outcomes (sample space) = \(2^{3}\) = 8

P(one tails):

From the sample space, there are four outcomes that have exactly one tails: HTT, THT, TTH, TTT.

So, P(one tails) = 4/8 = 0.5

P(three heads):

From the sample space, there is only one outcome that has three heads: HHH.

So, P(three heads) = 1/8 = 0.125

P(one heads and two tails):

From the sample space, there are three outcomes that have one heads and two tails: HHT, HTH, THH.

So, P(one heads and two tails) = 3/8 = 0.375

P(at least two tails):

From the sample space, there are four outcomes that have at least two tails: TTH, THT, HTT, TTT.

So, P(at least two tails) = 4/8 = 0.5

P(at least one heads):

From the sample space, there are seven outcomes that have at least one heads: HHH, HHT, HTH, THH, THT, TTH, TTT.

So, P(at least one heads) = 7/8 = 0.875

Therefore, the correct probabilities are:

P(one tails) = 0.5

P(three heads) = 0.125

P(one heads and two tails) = 0.375

P(at least two tails) = 0.5

P(at least one heads) = 0.875

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There are total 720 ways that Canesha and her friend sit in these six seats.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

For the first seat, Canesha and 5 of her friends can all sit in. So there are a possible of 6 different persons.

For the second seat, because one has already sat down, there are a possible of 5 different persons sitting in the second seat.

Continuing on, the total number of different ways Canesha and her friends can sit in those 6 seats are:

= 6*5*4*3*2*1

= 720

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Answer:

Step-by-step explanation:

Your going to start at -5 then go up 3 and over to the right 2 then repeat it over and over until you get your line. :)

Answer:

I believe the answer is 4 inches long

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.

s^9 ÷ s^4

s^9 is the numerator

s^4 is the denominator

s^(9 - 4)

s^5

Answer:

0.8

Explanation:

We use the long division table to find the decimal equivalent of 4/5.

In the long division table:

• Write the denominator (the one below) outside

• Write the numerator (the one above) inside

The table is attached below:

Therefore, the decimal equivalent of 4/5 is 0.8.

Answer:

2 + 0.50m

Step-by-step explanation:

Answer:

d) 5/3 x

Step-by-step explanation:

You substitute a for 2c and b for 5d, so your equation will look like this:

c/d - 2c/5d = x

Then you just simplify into x by making c/d into 5c/5d so you have a common denominator.

5c/5d - 2c/5d = x

3c/5d = x

5/3 is your answer

(A) The above linear system's least squares solutions are x₁  = 1/7 and x₂ = 22/21.

(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.

We can express the linear system in matrix form to get the least squares solutions:

A * X = B

Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.

The following is a rewrite of the provided linear system:

| 3 -1 | | x1 | | 4 |

| 1 -2 | * | x2 | = | 3 |

| 2 3 | | 2 |

Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:

A^T * A * X = A^T * B

Where A^T is the transpose of matrix A.

First, let's calculate A^T * A:

= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |

= | 1 -2 |

= | 2 3 |

= | 14 -4 |

= | -4 14 |

Next, let's calculate A^T * B:

= | 3 1 2 | | 4 |

= | 3 |

= | 2 |

= | 17 |

= | 7 |

Let's now resolve the standard equation:

| 14 -4 | | x1 | | 17 |

| -4 14 | * | x2 | = | 7 |

Simplifying, we have:

14×1 - 4×2 = 17

-4×1 + 14×2 = 7

Solving this system of equations, we find:

x1 = 1

x2 = 2

So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.

Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.

(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:

Residuals = B - A * X

Substituting the values, we have:

| 4 | | 3 -1 | | 1 |

| 3 | - | 1 -2 | * | 2 |

| 2 | | 2 3 | |

| 4 | | 3 - (-1) | | 1 | | 5 |

| 3 | - | 1 - (-2) | * | 2 | = | 2 |

| 2 | | 2 - 3 | | -1 |

The least squares error vector is therefore [5, 2, -1].

The norm (magnitude) of the least squares error vector can be used to determine the least squares error:

Least squares error = ||Residuals||

We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.

As a result, the least squares error is roughly 30.

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Answer:

D. \(\mathrm{1\frac{1}{2}\:hours}\)

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

\(5\frac{1}{4} - 3\frac{3}{4}\)

\(\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}\)

\(5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}\)

\(\frac{21}{4} - \frac{15}{4}\)

\(\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}\)

\(\frac{21}{4} - \frac{15}{4}\\\\21-15=6\)

\(\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}\)

Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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\(f(x)=x+7\\g(x)=x-4\\f(x)*g(x)=(x+7)(x-4)\\f(x)*g(x)=x^2+3x-28\)

So it's x^2+3x-28

Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

By using a ratio proportion of 5 cups / 8 servings = x cups / 12 servings to make 12 servings of soup, you would need 7.5 cups of chicken broth.

To find out how much broth you need for 12 servings of soup, we can set up a proportion using the given information.

The ratio of cups of chicken broth to servings is constant. We can set up the proportion as follows:

5 cups / 8 servings = x cups / 12 servings

To solve for x, we can cross-multiply and then divide:

8x = 5 × 12

8x = 60

x = 60 / 8

x = 7.5

Therefore, you would need 7.5 cups of chicken broth for 12 servings of the soup.

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The probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The number of possible answer responses for each question is 4, since there are 4 options.

The number of possible answer responses for all 3 questions can be found by multiplying the number of possible answer responses for each question. Therefore, the total number of possible answer responses for the quiz is 4 x 4 x 4 = 64.

If the student completely guesses on every question, there is a 1 in 4 chance (or a 25% chance) of getting each question correct. Since there are 3 questions, the probability of getting all 3 questions correct is (1/4) x (1/4) x (1/4) = 1/64.

Therefore, the probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

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Answer:

93.8858 pounds

How to convert:

1 pound (lb) = 0.479305709 quart (qt). Pound (lb) is a unit of Weight used in Standard system. Quart (qt) is a unit of Volume used in Cooking system. Please note this is weight to volume conversion, this conversion is valid only for pure water at temperature 4 °C.

1 US qt = 0.946352946 liters = 0.946352946 kg of pure water at temperature 4 °C.

US oz = 28.349523125 g

US fl oz = 29.5735295625 ml (milliliters) = 29.5735295625 g (grams) of pure water at temperature 4 °C.

US cup = 8 fl oz = 236.5882365 ml (milliliters) = 236.5882365 g (grams) of pure water at temperature 4 °C.

The US liquid quart equals to 0.946352946 liters.

Answer:

45 quarts is equal to exactly 93.8858 pounds.

Step-by-step explanation:

1 quart (qt) = 2.086351113 pound (lb).

Multiply 2.086351113 pounds by 45 to get your answer.

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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The amount of work required to empty the trough by pumping the water over the top is 64,000 joules.

To calculate the amount of work, we need to consider the gravitational potential energy of the water in the trough. The formula for gravitational potential energy is given by PE = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height from which the water is lifted.

Step 1: Calculate the mass of the water in the trough.

The volume of the trough can be calculated as V = length × width × depth. Substituting the given values, we have V = 8 m × 2.5 m × 4 m = 80 cubic meters.

Since the density of water is given as 1000 kg/m3, the mass of the water can be calculated as m = density × volume. Substituting the values, we have m = 1000 kg/m3 × 80 cubic meters = 80,000 kg.

Step 2: Calculate the work required to lift the water.

The height from which the water is lifted is equal to the depth of the trough, which is 4 meters.

Using the formula PE = mgh, we can calculate the potential energy of the water as PE = 80,000 kg × 9.8 m/s2 × 4 m = 3,136,000 joules.

Step 3: Convert potential energy to work.

The work done to lift the water is equal to the potential energy. Therefore, the amount of work required to empty the trough by pumping the water over the top is 3,136,000 joules, which can be rounded to 64,000 joules.

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In order to determine the coordinates of ABCD, it is necessary to apply the following transformation to figure A'B'C'D':

r(-90°,0)(A'B'C'D')

or, which is equivalent, apply a clockwise rotation of 90°, which is represented as follow:

T(x,y) => (y,-x)

then, for the points A', B', C' and D', you obtain:

A'(2,1) => A(1,-2)

B'(-4,-2) => B(-2,4)

C'(-4,-6) => C(-6,4)

D'(-1,-3) => D(-3,1)

To identify the location of the new factory, draw a triangle connecting the three cities and then draw the perpendicular bisectors of the triangle. The point of intersection of the two perpendicular bisectors is the circumcenter of the triangle, which is equidistant from each of the three cities. To find the circle that the triangle traces when it rotates around its circumcenter, draw a circle with its center at the circumcenter of the triangle.

A. To identify the location for the new factory, you can use the perpendicular bisectors of the triangle formed by the three cities to find the point that is equidistant from each of the stores.

B. The triangle rotates around its circumcenter, so it will trace the circle with its circumcenter as the center.

C. The circumcenter of the triangle can be identified by constructing the perpendicular bisectors of the triangle. The point of intersection of the two perpendicular bisectors is the circumcenter of the triangle.

To identify the location of the new factory, draw a triangle connecting the three cities and then draw the perpendicular bisectors of the triangle. The perpendicular bisectors of a triangle are lines that pass through the midpoint of each side and are perpendicular to it. The point of intersection of the two perpendicular bisectors is the circumcenter of the triangle and is equidistant from each of the three cities. To find the circle that the triangle traces when it rotates around its circumcenter, draw a circle with its center at the circumcenter of the triangle. This circle will be the shape that the triangle traces as it rotates around its circumcenter. To find the circumcenter of the triangle, given the vertices of the triangle, plot the points in a coordinate plane. Construct the perpendicular bisectors of the triangle by drawing a line through the midpoint of each side and perpendicular to it. The point of intersection of the two perpendicular bisectors is the circumcenter of the triangle.

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If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)

Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.

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In the given image, the length of JI is 6

From the question, we are to solve for JI

From the given image, we can write that

JI + IH = JH

Then,

2x + 28 + 5 = x + 22

Solving for x

2x + 28 + 5 = x + 22

First, collect like terms

2x - x = 22 - 28 - 5

Simplifying

x = -11

But,

JI = 2x + 28

∴ JI = 2(-11) + 28

JI = -22 + 28

JI = 6

Hence, the length of JI is 6

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Answer:

1 1/12

Step-by-step explanation:

b - 7/4 = -2/3

Add 7/4 to each side

b - 7/4+7/4 = -2/3+7/4

b  = -2/3+7/4

Get a common denominator

b = -2/3 *4/4 + 7/4 *3/3

   = -8/12 + 21/12

    =13/12

   = 12/12 +1/12

    = 1 1/12

Answer:

\(1\)

Step-by-step explanation:

1. \((3^{1} / 3)^{4}\)

2. \(3^{1} = 3\)

3. \(3 / 3 = 1\)

4. \(1^{4} = 1\)

The displacement of the particle from point O is given by

s(t) = 117 + ∫ -115 + 117t dt

s(t) = 117t - (115/2) t²

Given that the particle P travels in a straight line.

At time ts, the displacement of P from point O on the line is s m.

At time ts, the acceleration of P is (121-4) m s².

When t= 1, s2 and when t = 3, s = 30.

A particle P travels in a straight line,

where s is the displacement of P from a point O on the line.

Acceleration of P at time t is given by

a(t) = 117 m/s²,

where t is in seconds.

The velocity of particle P at time t is given by

v(t) = v₀ + ∫ a(t) dt

v(t) = v₀ + ∫ 117 dt

v(t) = v₀ + 117t ----------- (1)

Displacement of particle P at time t is given by

s(t) = s₀ + ∫ v(t) dt

When t = 1, s = 2m

s(1) = s₀ + ∫ v₀ + 117t dt

s₀ = 2 - v₀----------------- (2)

When t = 3, s = 30m

s(3) = s₀ + ∫ v₀ + 117t dt

30 = s₀ + [v₀t + (117/2) t²]

s₀ = - [(v₀/2) + 702]

Using equation (1),

v(1) = v₀ + 117 m/s

v₀ = v(1) - 117

= 2 - 117

= -115

Using equation (2),

s₀ = 2 - v₀

= 2 - (-115)

= 117

Therefore, the displacement of the particle from point O is given by

s(t) = 117 + ∫ -115 + 117t dt

s(t) = 117t - (115/2) t²

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Answer:

\(\boxed{\tt v < 6.8}\)

Step-by-step explanation:

\(\tt 0.5v+0.06 < 3.46\)

Multiply both sides by 100:-

\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)

\(\tt 50v+6 < 346\)

Subtract 6 from both sides:-

\(\tt 50v < 340\)

Divide both sides by 50:-

\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)

\(\tt v < \cfrac{34}{5}\)

Or

\(\tt v < 6.8\)

Therefore, your answer is v < 6.8!!! :)

______________________

Hope this helps!

Have a great day!

The events in (a) are dependent because the outcome of the first event affects the outcome of the second event. (a)

The probability of choosing a picture card on the second draw is different depending on whether a picture card was drawn on the first draw or not.

The events in (b) are dependent for the same reason.

The events in (c) are dependent because the number of cards in a red suit decreases as cards are drawn.

The events in (d) are dependent because the outcome of the first event affects the number of picture cards and the number of red cards available for the second draw.

The events in (e) are dependent because the outcome of the first event affects the number of red picture cards and hearts available for the second draw.

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