the equation for line w is y=3x-4.line d contains the point (2,-1) and is parallel to line with.write an equation that describes line d?


Please answer asap.thank you

The p-value is option (A) 0.0500

Under the null hypothesis, the expected number of defective peaches in the sample of 400 would be:

p = 0.10 (since the null hypothesis assumes a maximum of 10% defective peaches)

n = 400

expected number of defective peaches = np = 0.10 x 400 = 40

We can then use the binomial distribution to calculate the probability of getting 50 or more defective peaches in a sample of 400, assuming that the null hypothesis is true.

P(X ≥ 50) = 1 - P(X < 50)

where X is the number of defective peaches in the sample, assuming the null hypothesis is true.

Using a binomial calculator or a statistical software, we can find:

P(X < 50) = 0.3081

Therefore,

P(X ≥ 50) = 1 - P(X < 50) = 1 - 0.3081 = 0.6919

This is the p-value of the hypothesis test. Since this is a one-tailed test , we can compare the p-value to the significance level, α. If α = 0.05, then the p-value is greater than α, which means we fail to reject the null hypothesis.

Therefore, the correct answer is A. 0.0500.

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The value of x in the expression given is -94/7

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between

Given is an expression 3/4(x+2) = 6(x+12), we need to find the value of x,

3/4(x+2) = 6(x+12)

Multiply by 4 in the expression [multiplication property of equality]

3(x+2) = 24(x+12)

Divide by 3 in the expression [Division property of equality]

x+2 = 8(x+12)

Open brackets and multiply by 8 in the RHS  of the expression [distributive property]

x+2 = 8x+96

Subtract x from both sides [subtraction property of equality]

x-x+2 = 8x-x+96

2 = 7x+96

Subtract 96 from both sides [subtraction property of equality]

2-96 = 7x+96-96

-94 = 7x

Divide by 7 in the expression [Division property of equality]

-94/7 = x

x = -94/7

Hence, the value of x in the expression given is -94/7

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Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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Answer: 42804 people per square mile

Step-by-step explanation:

As we know Population density = \(\dfrac{Number\ of\ people}{Area}\)

Given, population of New York City =  8.55 million

Area of New York City  = 300 square miles

Then, population density of New York City = \(\dfrac{8.55\text{ million}}{300\text{ square miles}}\)

\(=\dfrac{8550000}{300\text{ square miles}}=28500\text{ people per square mile}\)   [1 million = 1,000,000]

Population of Manhattan =  1.64 million = 1640000

Area of Manhattan  = 23 square miles

population density of Manhattan = \(\dfrac{1640000}{23}\approx71304\text{ people per square mile}\)

Difference = 71304 - 28500 =42804

Hence, population density of Manhattan is 42804 people per square mile greater than that of New York City.

Answer: 42804

Step-by-step explanation: i took the test and got the answer right

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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To determine the amount of water produced, we need to know the stoichiometric ratio between hydrogen and oxygen in the reaction.

Without that information, we cannot calculate the exact amount of water produced from a given mass of either hydrogen or oxygen. The balanced chemical equation for the reaction between hydrogen and oxygen to form water is 2H₂ + O₂ → 2H₂O. This equation tells us that two molecules of hydrogen react with one molecule of oxygen to produce two molecules of water. To calculate the amount of water produced from a given mass of hydrogen or oxygen, we need to consider their molar masses. The molar mass of hydrogen is approximately 2.02 g/mol, and the molar mass of oxygen is approximately 32.00 g/mol.

If we have 250.0 grams of hydrogen, we can convert the mass to moles using the molar mass: 250.0 g H₂ * (1 mol H₂ / 2.02 g H₂) = approximately 123.76 mol H₂. Since the stoichiometric ratio is 2:2, for every 2 moles of hydrogen, we get 2 moles of water. Therefore, the amount of water produced would be approximately 123.76 mol H₂ * (2 mol H₂O / 2 mol H₂) = 123.76 mol H₂O. To calculate the mass of water produced, we multiply the number of moles by the molar mass of water: 123.76 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 2,229.95 grams of water.

Similarly, if we had 250.0 grams of oxygen, we can follow the same steps: 250.0 g O₂ * (1 mol O₂ / 32.00 g O₂) = approximately 7.81 mol O₂.According to the stoichiometric ratio, for every 1 mole of oxygen, we get 2 moles of water. Thus, the amount of water produced would be approximately 7.81 mol O₂ * (2 mol H₂O / 1 mol O₂) = 15.63 mol H₂O.Calculating the mass of water produced: 15.63 mol H₂O * (18.02 g H₂O / 1 mol H₂O) = approximately 281.37 grams of water. Therefore, starting with 250.0 grams of hydrogen would yield approximately 2,229.95 grams of water, while starting with 250.0 grams of oxygen would yield approximately 281.37 grams of water.

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The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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The beta of the portfolio is 1.57352.

Let's say that Stock a weighs x and Stock b weighs y. (1 - x)

Portfolio Return = Weight of Stock a * Return of Stock a + Weight of Stock b* Return of Stock b

0.136 = x * 0.114 + (1 - x) * 0.0868

0.136 = x * 0.114 + 0.0868 - x * 0.0868

0.136= x * 0.0272 + 0.0868

0.0492 = x * 0.0272

x =1.8088

The weight of the stock a is 1.8088

The weight of the stock b is 1-1.8088= -0.8088

Amount Invested in Stock b = $100,000 * (-0.8088)

Amount Invested in Stock Y = -$-80880

Portfolio Beta = Weight of Stock X * Beta of Stock X + Weight of Stock Y * Beta of Stock Y

Portfolio Beta = 1.8088 * 1.25 + (-0.8088) * 0.85

Portfolio Beta = 1.57352

Therefore, the value of the beta of the portfolio is 1.57352.

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The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).

Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.

1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.

Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025

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Answer:

46°

Step-by-step explanation:

The alternate segment theorem states that for a circle, the angle between a chord and a tangent through the endpoint of one of the chord is equal to the angle in the alternate segment.

Therefore from the diagram attached, chord TU and the tangent UV form an angle (arc TBU). The alternate segment to arc TBU is ∠ TUV .

Therefore arc TBU = ∠ TUV. But arc TBU = 46°. Therefore:

∠ TUV = 46°

Answer:

\tan \left(θ\right)=\frac{\sqrt{3}}{3}

Step-by-step explanation:

Answer:

circle the second and forth one

Answer

Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)

Step-by-step explanation:

Answer:

824 punds of candy

Step-by-step explanation:

512 + 312

Total means together and adding. You would add the 2 numbers and get our answer.

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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Answer: 1/3

Step-by-step explanation:

From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).

Answer:

about $0.13

Step-by-step explanation:

Answer:

13 cents

Step-by-step explanation:

1.59 divided by 12

Answer:

x = 55.866 ft.

Step-by-step explanation:

39^2 + 40^2 = x^2

1521 + 1600 = 3121

sqrt(3121) = 55.8659

Rounded = 55.866

Make sure to add the ft.

Answer:

Step-by-step explanation:

a²+b²=c²

39²+40²=c²

3121=c²

c=√3121

c=55.866 to 3.d.p

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

Answer:

10:1:5

Step-by-step explanation:

Given that,

A game was played by Amy, Bill, and Cara.

Let Amy's score be x. Then,

Bill's score would be x/10

Cara's score = x/2

Now,

The ratio of their scores;

x: x/10: x/2

= 1 : 1/10 : 1/2

To equalize the scores, multiply all of them by 10

= (1 * 10): (1/10 * 10) : (1/2 * 10)

= 10 : 1 : 5

Thus, the simplest ratio form would be 10:1:5

Answer:

Step-by-step explanation:

10:1:5

the equation for a rational function with the given characteristics calculator is y = -10 (x - 1)² / (x - 2)

Any function that can be expressed mathematically as a rational fraction—an algebraic fraction in which both the numerator and the denominator are polynomials—is referred to as a rational function. The polynomial coefficients don't have to be rational numbers; they can be taken in any field. K

Vertical asymptote at, x = 2

So, (x - 2) will be in the denominator

Double zero at x = 1

So, (x - 1)² will be in the numerator.

So, y = a (x - 1)² / (x - 2)

at x = 0, y = 5

So, 5 = a (-1)² / (-2)

Therefore, a = -10

So, y = -10 (x - 1)² / (x - 2)

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COMPLETE QUESTION:

Write an equation for a rational function with the given characteristics. Vertical asymptote at x = 2, double zero at x = 1, y-intercept at (0,5)

y =

The point that is NOT 5 units away from the point (1,4) is (4,0).

Answer:

it's a square with sides all equal to 5 units

Step-by-step explanation:

Answer: 19 minutes

Step-by-step explanation:

Here is the complete question:

takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.

How many minutes does it take Andrew to take a shower and eat breakfast?

From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:

= 720 seconds + 420 seconds

= 1140 seconds

We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,

1140 seconds = 1140/60

= 19 minutes

Andrew uses 19 minutes to take a shower and eat breakfast.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

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