-2/3=6/5w-3/2

Solve for w

Answer:

$30 per hour

Step-by-step explanation:

120/4=30

The expression that can determine the change the person would get after purchasing the 0.5-pound bunch of bananas and 3.25 pounds of oranges is Total cost = 1×0.22 + 7.8

cost of 1 pound of oranges = 2.39

Cost of 3.25 pounds of oranges = 2.39 × 3.25

Performing multiplication

Cost of 3.25 pounds of oranges = $7.8

Forming the expression -

Total cost = cost of 0.5 pound bunch of bananas + cost of 3.25 pound of oranges

Total cost = 1×0.22 + 7.8

Performing multiplication

Total cost = 0.22 + 7.8

Performing addition

Total cost = $8.02

Remaining amount = 20 - 8.02

Performing subtraction

Remaining amount = $11.98

Thus, $11.98 will be the remaining amount.

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Answer:

125 m

Step-by-step explanation:

The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.

By Pythagoras theorem

\(145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}\)

Christina had to travel 125 m from the three-way junction to the church.

The distance Kristina travelled from the three-way junction to the church is; x = 125 meters

     We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.

This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.

     Now, we are told that the displacement between the church and McDonalds is 191.442 meters.

The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.

Using Pythagoras theorem, we have;

x² + 145² = 191.442²

x² = 191.442² - 145²

x² = 15625.039364

x = √15625.039364

x = 125 meters

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Answer:

half a rotaoin

Step-by-step explanation:

think there is a crycle and you divide half and eat it and the secand half is 180 degree

Our point A(x,y) becomes A' when a point is rotated 180 degrees counterclockwise about the origin. All we actually do is turn both x and y negative.

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Answer:

option 2 : y-7 = 2(x-1)

Step-by-step explanation:

the fastest way is to simply put the x- and y-values of both points into the equations, and see, which one is true for both points.

the first option is only true for the second point

7-7 = 4(1-1)

0 = 4×0 = 0

but for the first point

3-7 = 4(-1 - 1)

-4 = 4×-2 = -8

-4 = -8 is false

the second option then is true for both points

7-7 = 2(1-1)

0 = 0

3-7 = 2(-1 - 1)

-4 = 2×-2 = -4

Answer:

If m<AOC = 49°, m<BOC = 2x°+10°, and m<AOB = 4x°–15° find the degree measure of BOC and AOB.

mBOC = 18°; mAOB = 31°

mBOC = 28°; mAOB = 21°

mBOC = 21°; mAOB = 28°

mBOC = 31°; mAOB = 18°

Step-by-step explanation:

The value of the unknown variable [x] is 4.

Given is that -

m ∠AOC = 19 degrees

m ∠BOC = (2x+10) degrees

m ∠AOB = (4x - 15) degrees

It can be written from the image as -

m ∠AOC = m ∠AOB + m ∠AOC

19 = (2x + 10) + (4x - 15)

6x - 5 = 19

6x = 19 + 5

6x = 24

x = 4

Therefore, the value of the unknown variable [x] is 4.

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To show that a function does not have a limit as (x, y) approaches (0, 0), we need to examine the limit along different paths .

How can we show that a function does not have a limit as (x, y) approaches (0, 0)?

To show that the function f(x, y) does not have a limit as (x; y) ! (0; 0), we need to examine the limit lim

(x;y)!(0;0) xy x y .

Convert the given limit into a more recognizable form. The given limit is

lim(x, y) -> (0, 0) (xy / (x + y)).

Analyze the limit along different paths. Let's examine the limit along two distinct paths - the

x-axis (y = 0)

and

the y-axis (x = 0).

For the x-axis (y = 0), the limit becomes

lim(x, 0) -> (0, 0) (x * 0 / (x + 0))

= lim(x, 0) -> (0, 0) (0) = 0.

For the y-axis (x = 0), the limit becomes

lim(0, y) -> (0, 0) (0 * y / (0 + y))

= lim(0, y) -> (0, 0) (0) = 0.

Compare the results of the two paths. Both limits along the x-axis and y-axis are equal to 0. However, this is not enough to conclude that the function f(x, y) has a limit as (x; y) ! (0; 0).

Examine another path, such as the line y = x. In this case, the limit becomes

lim(x, x) -> (0, 0) (x * x / (x + x))

= lim(x, x) -> (0, 0) (x^2 / 2x)

= lim(x, x) -> (0, 0) (x / 2)

= 0 / 2 = 0.

Consider another path, like

y = -x.

For this path, the limit becomes

lim(x, -x) -> (0, 0) (x * -x / (x - x))

which is undefined, since the denominator is zero.
Since we have found a path

(y = -x)

where the limit is undefined, we can conclude that the function f(x, y) does not have a limit as (x; y) ! (0; 0).

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In sampling distribution, it is not necessarily true that the expected value of j will be equal to the expected value of k, and the variability of j will be equal to the variability of k.

The properties of the sampling distribution of an estimator depend on the sample size, the population distribution, and the estimator itself. While it is possible that the expected value and variability of j and k may be equal under certain conditions, this cannot be assumed without further information.

More information about the specific estimator and the population distribution is needed to determine the properties of the sampling distributions for different sample sizes.

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Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

S is a chi-squared random variable with n₁ + n₂ + ... + nk degrees of freedom.

Let Y = X₁² + X₁² + ... + Xn², where the X;'s are independent Gaussian (0, 1) random variables with PDF fx(x) = (1 / sqrt(2phi)) e^-x²/2.

Then Y is known to be a = 2πT chi-squared random variable with n degrees of freedom.

To find the MGF of Y, øy (s), we need to follow the given below steps:øy (s) = E [e^sY]øy (s) = E [exp (s (X1² + X2² + ... + Xn²))]øy (s) = E [exp (sX1²) * exp (sX2²) * ... * exp (sXn²)]

Here, the Xs are independent Gaussian variables, so they have characteristic functionsøy (s) = [øx (s)]nøy (s) = [(1 - 2is)⁻¹/2]nøy (s) = [1 - 2is]⁻n/2

The MGF of Y is øy (s) = [1 - 2is]⁻n/2.(b)

Let S = Y₁ + Y₂ + ··· + Yk, where the Y's are independent random variables, with Y; be a chi-squared random variable with n; degrees of freedom.

To show that S is a chi-squared random variable with n₁ + n₂ + ... + nk degrees of freedom, we need to follow the given below steps

We know that MGF of chi-squared random variable with n degrees of freedom is [1 / (1 - 2t)]n.So, for each Yi, the MGF is [1 / (1 - 2t)]n.

When S = Y1 + Y2 + ... + Yk, the MGF of S isøs (t) = øy1 (t) øy2 (t) ··· øyk (t)Putting the MGF of each Yi, we haveøs (t) = [1 / (1 - 2t)]n1 [1 / (1 - 2t)]n2 ··· [1 / (1 - 2t)]nkøs (t) = [1 / (1 - 2t)]n1 + n2 + ... + nk∴ S is a chi-squared random variable with n₁ + n₂ + ... + nk degrees of freedom.(b)

Summary: S is a chi-squared random variable with n₁ + n₂ + ... + nk degrees of freedom.

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Answer:

Width=27inches

Step-by-step explanation:

Width=w

Length=28 inches

Perimeter=110 inches

Perimeter of a rectangle=2(length+width)

110=2(28+w)

110=56+2

110-56=2w

54=2w

Divide both sides by 2

54/2=2w/2

27=w

Therefore,

Width=27inches

Answer:

10.35 mph

Step-by-step explanation:

63,756/70 ft/min × (1 mile)/(5280 ft) × (60 min)/(hour) =

= 10.35 mph

The margin of error for a 99 percent confidence interval in this survey is approximately 0.0688 or 6.88%.

To approximate the proportion of Angelinos that like tacos, Nacho conducted a survey and found that out of 318 people, 80 liked tacos. To calculate the margin of error for a 99 percent confidence interval, follow these steps:

Step 1: Calculate the sample proportion (p-hat) by dividing the number of people who liked tacos (80) by the total number of people surveyed (318).
p-hat = 80/318 = 0.2516

Step 2: Find the critical value (z-score) for a 99 percent confidence interval. You can use a z-table or an online calculator. For a 99% confidence interval, the z-score is approximately 2.576.

Step 3: Calculate the standard error (SE) using the formula SE = √ (p-hat * (1 - p-hat) / n), where n is the sample size.
SE = √ (0.2516 * (1 - 0.2516) / 318) =0.0267

Step 4: Calculate the margin of error (ME) by multiplying the z-score by the standard error.
ME = 2.576 * 0.0267 = 0.0688

So, the margin of error for a 99 percent confidence interval in this survey is approximately 0.0688 or 6.88%.

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Answer:

  0.16

Step-by-step explanation:

You want the probability that team b will win 2 games in a row, given that the probability of team a winning is 0.6, and the probability of team b winning is 0.4.

After one win for team A, the series can have the possible outcomes ...

  A – team a wins with probability 0.6

  BA – team a wins with probability (0.4)(0.6) = 0.24

  BB – team b wins with probability (0.4)(0.4) = 0.16

The probability of team b winning the series is 0.16.

__

Additional comment

The probability team a wins the series after winning the first game is 0.6 +0.24 = 0.84 (= 1 -0.16). At the beginning of the series, the probability b wins is 0.352, dropping dramatically after a wins the first game.

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The probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

What is probability?

Probability is a measure or quantification of the likelihood of an event occurring. It is a numerical value assigned to an event, indicating the degree of uncertainty or chance associated with that event. Probability is commonly expressed as a number between 0 and 1, where 0 represents an impossible event, 1 represents a certain event, and values in between indicate varying degrees of likelihood.

To determine the probability that Team B wins the series after Team A wins the first game, we need to consider the different possible outcomes of the remaining games.

Since the series continues until one team wins two games, there are three possible scenarios:

Team A wins the next game (Team A wins the series)

Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1)

Team B wins both the next and third games (Team B wins the series)

We'll calculate the probabilities of these scenarios and then determine the probability of Team B winning the series.

Scenario 1: Team A wins the next game (Team A wins the series):

The probability of Team A winning the next game is 0.6.

Scenario 2: Team B wins the next game, followed by Team A winning the third game (Series tied at 1-1):

The probability of Team B winning the next game is 0.4.

The probability of Team A winning the third game is 0.6.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.6 = 0.24

Scenario 3: Team B wins both the next and third games (Team B wins the series):

The probability of Team B winning the next game is 0.4.

The probability of Team B winning the third game is 0.4.

To calculate the probability of this scenario, we multiply the individual probabilities:

Probability = 0.4 * 0.4 = 0.16

To find the probability of Team B winning the series, we add the probabilities of Scenario 2 and Scenario 3 since both outcomes result in Team B winning the series:

Probability = 0.24 + 0.16 = 0.4

Therefore, the probability that Team B wins the series after Team A wins the first game is 0.4 or 40%.

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The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.

Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,

The standard form of a left-right parabola is given as:

4p(x-h) = (y-k)²

Focus = (p+h, k)

Therefore,

h+p = 3....(i)

Directrix =

x = h-p

h-p = 6...(ii)

Solving the equations we get,

h = 9/2

p = -3/2

Substitute into the standard form:

4p(x-h) = (y-k)²

4(-3/2)(x-9/2) = (y+5)²

-6(x-9/2) = (y+5)²

\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

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The question is incomplete so, i solved for the attached question

Answer:

Step-by-step explanation:

.......................................

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Answer:

117 m²

Step-by-step explanation:

Given the scale factor of the enlargement is 3 , then

the area is increased by a factor of 3² = 9

area of new triangle = 9 × 13 m² = 117 m²

The standard form of a linear equation is expressed as

Ax + By = C

The given points that the line passed through are (6, 4) and (- 4, 9)

The first step is to find the slope of the equation. The formula for finding slope is expressed as

slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 6, y1 = 4

x2 = - 4, y2 = 9

m = (9 - 4)/(- 4 - 6) = 5/- 10

m = - 1/2

The eqyation of a line in the slope intercept form is expressed as

y = mx + c

m = slope

c = y intercept

To find c, we would substitute m = - 1/2, x = 1 and y = 4 into the slope intercept equation. It becomes

4 = - 1/2 * 1 + c

4 = - 1/2 + c

c = 4 + 1/2 = 9/2

Thus, we have

y = - x/2 + 9/2

Converting it to standard form, the standard form is

x/2 + y = 9/2

- x + 2y = 9

where

A = - 1, B = 2 and C = 9

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

35/1000

Step-by-step explanation:

the 5 is in the thousandths place therefore it is over 1000

Answer:

you would make it a 7 for the top and 200 for the bottom

Step-by-step explanation:

Answer:

Option A.

Step-by-step explanation:

See attachment.

Basically, the reason why I left it at cm(3) was because that's the standard unit for volume, any length of measurement to the third power.

Answer:

(-6,2)

Step-by-step explanation:

1. plot both points

2. find the distance between the reflection point and point A (so go down 4, and right 3)

3. apply the opposite, starting at the reflection point (go up 4, and left 3)