PLEASE HELP ASAP. THIS IS A LITTLE CONFUSING. I WILL TRY AND GIVE BRAINLEST TO ANYBODY WHO ANSWERS. I HAVE 1000 POINTS AND I NEED THEM GONE. PLEASE ANSWER!!!!!

Your friend is new to your school. They haven't had the lesson on solving linear equations. They send you an email asking for your help. They want to know how to solve linear equations. In your own words using mathematical terminology, explain to your friend how to solve a linear equation that requires you use the distributive property. Your writing must be at least 5 complete sentences. Do not give me a list of steps. This must be an explanation using mathematical terminology.

the equation to find the slope between 2 points is

name the points

1=(11,9)

2=(12,9)

apply the formula

the slope between the points is 0.

The required cost of hosta and ornamental grass is $6 and $3.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
let the cost of each hosta be x and ornamental grass be y,
According to the question,
For
Trevon,
5x + y = 33 - - - - - (1)

For, Scott,
x + 12y = 42 - - - - - - (2)

Solving equations 1 and 2 by substitution method,
x=6, y=3

Thus, the cost of hosta and ornamental grass is given as $6 and $3.

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(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

1/13

Step-by-step explanation:

There are 4 cards that are a "3" in a deck of cards

3 of hearts, 3 of spades, 3 of clubs, 3 of diamonds

P( 3) = number of cards that are a "3" / total number of cards

P(3) = 4/52 = 1/13

Answer:

\(\frac{1}{13}\) (one thirteenth)

1/13

Step-by-step explanation:

There's 4 of the card 3 in a deck. (3 of hearts, 3 of diamonds, 3 of clubs, 3 of spades.)

This means 4 of 52 cards are a 3, which makes the fraction \(\frac{4}{52}\). This is the probability.

This fraction can be simplified to \(\frac{1}{13}\) by dividing the top and bottom by four. This is the final answer, since it is in the simplest form.

The triple integral of the given solid is equal to (2/3) pi.

To evaluate the triple integral of a solid bounded by the cylinder and the planes in the first octant, we need to break down the integral into three separate integrals for each variable x, y, and z.

Firstly, we can determine the limits of integration for each variable by looking at the boundaries of the solid. The cylinder is defined by the equation \(x^{2}\) + \(y^{2}\) = 4, while the planes are defined by z = 0, x = 0, and y = 0.

In the first octant, we can set the limits of integration to be from 0 to 2 for x and from 0 to sqrt(4 - \(x^{2}\)) for y, as we are only considering the first quadrant of the cylinder. For z, the limits of integration are from 0 to 1, as we are only considering the solid bounded by the planes.

We can then set up the triple integral as follows:

∫∫∫ (1) dz dy dx

where (1) represents the constant function 1, as we are not given any specific function to integrate.

Using the limits of integration we determined earlier, we can simplify the integral to:

∫\(0^{2}\) ∫\(0^{\sqrt{4-x^{2} } }\) ∫\(0^{1}\) (1) dz dy dx

Evaluating this integral yields:

∫\(0^{2}\)∫\(0^{\sqrt{4-x^{2} } }\)(z)|\(0^{1}\)dy dx

which further simplifies to:

∫\(0^{2}\) (1/2)(\({\sqrt{4-x^{2} } }\)) dx

Using the substitution u = x/2, we can simplify the integral further to:

(1/4) ∫\(0^{4\sqrt{4-u^{2} } }\) du

This integral can be evaluated using the trigonometric substitution u = 2 sin(theta), which yields:

(1/2) ∫\(0^{\pi /2}\)(2 cos(θ)\()^{2}\) d(θ)

Simplifying this integral further yields:

(1/2) ∫0^pi/2 (4 \(cos^{2}\)(tθ) - 2) d(θ)

Evaluating the integral gives us:

(1/2) [(4/3) \(sin^{3}\)(θ) - 2 θ]|\(0^{\pi }\)

Finally, plugging in the limits of integration yields:

(2/3) \(\pi\)

Therefore, the triple integral of the given solid is equal to (2/3) \(\pi\).

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Answer:

3.25

Step-by-step explanation:

The triangles ∆BCD is congruent to ∆CBE and they are similar triangles

a) BC ≅ BC

b) BE ≅ CD

c) ∠DBC ≅ ∠ECB

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ∆BCD

Let the second triangle be represented as ∆CBE

The triangles ∆BCD and ∆CBE are similar

So , corresponding sides of similar triangles are in the same ratio

And , the corresponding angles is also congruent

Substituting the values in the equation , we get

The measure of side BC ≅ measure of side BC

The measure of side BE ≅ measure of side CD

The measure of ∠DBC ≅ the measure of ∠ECB

Hence , they are similar triangles

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Answer:

5/21

Step-by-step explanation:

Change division sign to multiplication and flip second fraction upside down

1/3 x 5/7 =  5/21

Answer:

D) 2

Step-by-step explanation:

Reciprical of slope

-1/2

reciprical is

+2/1

2

Step-by-step explanation:

x² - 4x + 3  -  ( - x² + 6x + 2) = x² - 4x + 3 + x² - 6x - 2

                                             =  x² + x² - 4x - 6x + 3  - 2

                                             =  2x² - 10x + 1

Answer:

[7.8] = 8

[0.75] = 1

...

Step-by-step explanation:

step function takes the value of the greatest integer

To find the probability that a different nine-year-old child eats a donut in more than 3 minutes, given that the child has already been eating the donut for more than 1.5 minutes, we can use conditional probability.

Let A be the event that the time it takes a nine-year-old to eat a donut is more than 3 minutes, and let B be the event that the child has already been eating the donut for more than 1.5 minutes. We want to find P(A|B), which represents the probability of event A occurring given that event B has already occurred. Since X follows a uniform distribution U(0.5,4), we know that the probability density function (PDF) of X is constant within the interval [0.5,4]. To find P(A|B), we need to find the conditional probability of A given B. In this case, we need to find the proportion of the interval [1.5,4] that is above 3. This can be calculated as: P(A|B) = (4 - 3) / (4 - 1.5) = 1 / 2.5 = 0.4.

Therefore, the probability that a different nine-year-old child eats a donut in more than 3 minutes, given that the child has already been eating the donut for more than 1.5 minutes, is 0.4, or 40%.

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Answer:

x =9

Step-by-step explanation:

48-12=36

4x=36

divide by 4

x=9

Answer: A) x=9

48-12=36.

36/4=9

More detailed explanation:

4x+12=48

   -12    -12

    4x = 36

    /4     /4

    x   =    9

Step-by-step explanation:

subtract 12 from both sides , then divide both sides by 4

Americans spent a total of about $9,000 each on health care in 2013.

Health care is one of the most common expenses that people have to do. This derives from the comon saying that heath is wealth.

The graph shows the degree of expenses by the American people on the issue of health care in the year 2013. From the graph, we can see that Americans spent a total of about $9,000 each on health care in 2013.

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Answer:

C.) About $9,000

Step-by-step explanation:

Edge, 2022.

This situation should be analyzed using a two-sample independent method. The two-sample independent method is used when comparing two independent groups, in this case, taxi ride times in San Diego and Phoenix. The two-sample paired method is used when comparing the same group under two different conditions, which is not the case here, as the taxi ride times are taken from two separate cities. There is no common characteristic that makes these data paired.

A two-sample independent method is used to compare the means of two independent populations, which is appropriate for this situation. The independent samples t-test is a common statistical test used to compare the means of two independent populations.On the other hand, if the data were obtained from the same set of taxis in both cities or from the same set of riders in both cities, then the situation would be a paired situation, and a two-sample paired method would be more appropriate.Paired data refers to data that is collected from the same sample, subject, or group at different points in time or under different conditions. For example, if the data were obtained from the same set of taxis in both cities, then the data would be paired because each taxi in San Diego would have a corresponding taxi in Phoenix. Similarly, if the data were obtained from the same set of riders in both cities, then the data would be paired because each rider in San Diego would have a corresponding rider in Phoenix.In summary, since the data in this situation were obtained from two different cities, a two-sample independent method is appropriate. If the data were obtained from the same set of taxis or riders in both cities, a two-sample paired method would be appropriate.

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In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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Answer:

(B) 80

Step-by-step explanation:

The bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours

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

The table of values

Where the total amount  of sales are

Sugar = 1.15 * (6h - 5)

Chocolate chips = 1.15 * (10h + 6)

In 15 hours, we have

h = 15

This means that

Sugar = 1.15 * (6 * 15 - 5) = 97.75

Chocolate chips = 1.15 * (10 * 15 + 6) = 179.4

The difference is calculated as

Difference = 179.4 - 97.75

Difference = 81.65

Hence, the bakery earn $81.65 more in sales of chocolate chips than sugar in 15 hours

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Answer:

C. 31 \(\frac{1}{6}\)

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

\(\frac{29}{4}\) · 2² + ( \(\frac{17}{2}\) - 2) ÷ 3

2. Calculate within the parenthesis:

\(\frac{29}{4}\) · 2² + \(\frac{13}{2}\) ÷ 3

3. Calculate the exponent:

\(\frac{29}{4}\) · 4 + \(\frac{13}{2}\) ÷ 3

4. Multiply and divide (left to right):

29 + \(\frac{13}{2}\) ÷ 3

29 + \(\frac{13}{6}\)

5. Add:

\(\frac{187}{6}\)

6. Convert the improper fraction to a mixed number:

= 31 \(\frac{1}{6}\)

hope this helps!

Answer: gurl you think i know

Step-by-step explanation:

The cylindrical coordinates for the given points are as follows: (a) (√2, arctan(-1), 1), and (b) (3√3, arctan(-1), 2).

In cylindrical coordinates, the conversion from rectangular coordinates involves expressing a point's position in terms of its radial distance from the origin (r), its azimuthal angle (θ), and its height or elevation (z). Let's convert the given points from rectangular to cylindrical coordinates.

a) Point (-1, 1, 1):

To convert this point to cylindrical coordinates, we first calculate the radial distance from the origin using r = √(x^2 + y^2) = √((-1)^2 + 1^2) = √2. The azimuthal angle θ can be found using the equation tan(θ) = y / x = 1 / -1 = -1, which gives θ = arctan(-1). The height or elevation z remains the same. Therefore, the cylindrical coordinates for point (-1, 1, 1) are (√2, arctan(-1), 1).

b) Point (-3, 3, 2):

Similarly, for this point, the radial distance is r = √((-3)^2 + 3^2) = √27 = 3√3. The azimuthal angle θ is given by tan(θ) = y / x = 3 / -3 = -1, which yields θ = arctan(-1). The height or elevation z remains unchanged. Hence, the cylindrical coordinates for point (-3, 3, 2) are (3√3, arctan(-1), 2).

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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The expression that calculates the length of the hypotenuse is  c = √a² + b²

where

c = hypotenuse

a and b are the other legs

Therefore, the expression that calculates the length of the hypotenuse is as follows:

square root both sides to get the length of the hypotenuse c.

√c² = √a² + b²

Therefore,

c = √a² + b²

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Answer:

3/4

Step-by-step explanation:

The area of a right triangle can be calculated as half the product of each leg length.

So, if the legs measure 4 cm and 3 cm, we have:

Therefore the triangle area is 6 cm².

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

The option that shows the correct first step to solve the given system of equations is 3(-6y+8)+4y=5.

According to the question,

We have the following system of equations:

3x+4y=5

x =-6y+8

Now, the first step if we are solving the equation using the substitution method should be to put the value of x from the last equation in the first equation.

So, we have the following expression:

3(-6y+8)+4y = 5

Now, we can easily solve this expression which will give us the value of y. And then we can substitute this value of y to find the value of x in second equation.

Hence, the correct option is B.

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